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# Mathematics

The foundations of our high-tech society rest on mathematics and problem solving. Every laptop, every smartphone, and every video game console rely on mathematics. Exploring and understanding the world in which we live is a matter of mathematical inquiry and discovery. With a major in Mathematics and a degree from MTSU, a student will have the keys to open doors of employment or further study in many areas, including science, statistics, business, finance, insurance, health, education, and the technologies of tomorrow.

### Doing the math

Jacob Basham knows better than most how the study of mathematics can prove vital to the pursuit of a career in another field. A McNair Scholar and first-generation college student pursuing a degree in Professional Mathematics, Basham has been accepted to medical school at the University of Tennessee Health Science Center College of Medicine for their dual M.D. /Ph.D. program. For him, math was just the beginning. “My career goals hover around becoming a physician in translational medicine and clinical research,” Basham says. “I want to be at the places where new treatments are being researched and our most deadly diseases are being eradicated.”

### The third “R”

Alex Murphy, a Noyce Scholarship recipient, is preparing to be a teacher of secondary mathematics. He has been doing research since his sophomore year when he became interested in understanding how pre-service teachers construct their knowledge of mathematics. His senior honors thesis was a case study reviewing his development of both mathematical and pedagogical metacognition in order to construct a reflective model that other pre-service mathematics teachers could follow. "The mathematics I know is a living knowledge that has blended very naturally with my ability to communicate it. This study has challenged me to remain a lifelong learner—especially with graduation so close," Murphy said. In addition to being a scholar, Alex does volunteer work at orphanages in Haiti during summer breaks.

A degree in Mathematics from MTSU is a sure way to transform being a problem solver into a fulfilling, always-in-demand career. Examples of potential positions include

- Actuary
- Astrophysicist
- College professor
- Computer programmer
- Controller
- Database manager
- Demographer
- Information scientist
- Inventory control specialist
- Investment researcher
- Mathematical modeler
- Mathematical technician
- Mathematician
- Mathematics Teacher
- Psychometrist
- Statistician
- Systems analyst
- Technical writer

## Employers of MTSU alumni include

- Bedford County Schools
- Blue Cross Blue Shield of Tennessee
- Bryan, Pendleton, Swats & McAllister, LLC
- Caterpillar Finance
- Cigna
- Columbia State Community College
- David Lipscomb University
- Direct General Group of Companies
- Grundy County Schools
- Humana Inc.
- Motlow State Community College
- Nashville State Community College
- Rutherford County Schools
- Select Actuarial Services
- Tennessee Tech University
- U.S. Army
- Volunteer State Community College
- Walters State Community College
- Wilson County Schools
- Willis North America Inc.

Undergraduate students interested in mathematical modeling and problem solving can pursue a Bachelor of Science (B.S.) degree with a major in Mathematics, choosing a concentration in either Mathematics Education or Professional Mathematics.

**For complete curriculum details, click on the REQUIREMENTS tab above.**

Undergraduate minors are available for other students in three areas: Mathematics; Statistics; and Mathematics for Managerial, Social, and Life Sciences.

For graduate students, the Department of Mathematical Sciences offers a Master of Science (M.S.) degree with a major in Mathematics and concentrations in General Mathematics, Industrial Mathematics, and Research Preparation.

A Master of Science in Teaching (M.S.T.) degree with a major in Mathematics is also available, with concentrations in Middle Grade Mathematics and Secondary Mathematics.

The Master of Science (M.S.) in Professional Science offers concentrations in Actuarial Science and Biostatistics.

A graduate minor in Mathematics is also offered.

## Mathematics Education

# Mathematics, Mathematics Education Concentration, B.S.

**Mathematical Sciences
615-898-2669
Dovie Kimmins, program coordinatorDovie.Kimmins@mtsu.edu**

Mathematics majors choose either the Professional Mathematics or Mathematics Education concentration.

All courses in the Mathematics major or minor (including supporting coursework) must be completed with a grade of C (2.00) or better. All courses transferred from other institutions for credit in the Mathematics major or minor must carry a grade of C (2.00) or better and be approved by the department chair.

The following specialized courses do not count toward a Mathematics major or minor: MATH 1010, MATH 1410, MATH 1420, MATH 1530, MATH 1630, MATH 1710, MATH 1720, MATH 1730, MATH 1810, MATH 3300, MATH 3310, and MATH 4010. However, MATH 1630, MATH 1730, and MATH 1810 may count toward a minor in Mathematics for Managerial, Social, and Life Sciences.

### Academic Map

Following is a printable, suggested four-year schedule of courses:

**Mathematics, Mathematics Education, B.S., Academic Map **

### Degree Requirements

### General Education (41 hours)

**General Education **requirements (shown in curricular listings below) include courses in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences.

The following General Education course is required for this major:

- MATH 1910 (Math)

### Major Requirements (36 hours)

### Mathematics Core (21 hours)

- MATH 1910 - Calculus I
**4 credit hours**(3 credit hours counted in General Education, 1 credit hour remaining)### MATH 1910 - Calculus I

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. An introduction to calculus with an emphasis on analysis of functions, multidisciplinary applications of calculus, and theoretical understanding of differentiation and integration. Topics include the definition of the derivative, differentiation techniques, and applications of the derivative. Calculus topics related to trigonometric, exponential, and logarithmic functions also included. Course concludes with the fundamental theorem of calculus; the definition of antidifferentiation and the definite integral; basic applications of integrations; and introductory techniques of integration. Graphing calculator required. TBR Common Course: MATH 1910

### MATH 1920 - Calculus II

**4 credit hours**Prerequisite: MATH 1910 with C (2.00) or better. A topics course providing a wide view of different techniques and applications of calculus in the plane. Techniques of integration and applications of integration fully developed. Power series and Taylor series included. Emphasis on multidisciplinary applications includes Taylor series approximation; applications of integration to physics, biology, and business; and geometric and power series applications. Graphing calculator required. TBR Common Course: MATH 1920

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**Prerequisite: MATH 1910. Vectors and vector spaces, matrices and systems of linear equations, geometry of vector spaces and linear transformations in a vector space.

### MATH 3110 - Calculus III

**4 credit hours**Prerequisite: MATH 1920. Adjusts calculus techniques developed in the plane (Calculus I and II) to make them applicable in three-dimensional space. Introductory study of the nature of three-dimensional space and definition of the algebraic calculations in three-dimensional space. Differential and integral calculus definitions and techniques revised to appropriately transfer into this new space. Topics include multivariate functions, partial differentiation, partial integration, multiple integration, and multidisciplinary applications.

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**Prerequisite: MATH 1920. The language of mathematics, set theory and proof, relations and functions, number systems, mathematical structures. Focuses on the transition from lower-division study to upper-division study by actively engaging the student in problem solving, mathematical reasoning, and both informal and technical writing.

### MATH 2050 - Probability and Statistics

**3 credit hours**Prerequisite: Calculus I. Data analysis, probability, and statistical inference. The inference material covers means, proportions, and variances for one and two samples, one-way ANOVA, regression and correlation, and chi-square analysis. TBR Common Course: MATH 2050

### STAT 3150 - Mathematical Statistics I

**3 credit hours**Prerequisite: Two semesters of calculus. Probability theory including basic probability laws, properties of distributions, mathematical expectation, special discrete and continuous distributions, functions of random variables, and selected applications.

### Remaining Major Courses (15 hours)

### MATH 3070 - College Geometry

**3 credit hours**Prerequisite: MATH 3460. Advanced treatment of standard topics in Euclidean geometry using informal and axiomatic approaches. Includes proofmaking techniques, traditional and transformational geometry, finite geometries, and a brief introduction to other geometries.

### MATH 4510 - Abstract Algebra I

**3 credit hours**Prerequisite: MATH 3460. An introduction to groups, with a brief introduction to rings, integral domains, and fields.

### MATH 4620 - History and Philosophy of Mathematics

**3 credit hours**Prerequisite: MATH 3460. Background in geometry and number theory helpful. The character of mathematical thought by way of mathematical problems that have occupied the outstanding mathematicians of Babylon, Egypt, Greece, China, the Renaissance, and modern times paralleled with a study of three schools of mathematical philosophy: intuitionism, logicism, and formalism.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**Open only to Mathematics majors; normally taken during last regular semester of coursework. Required of all Mathematics majors. Offers graduating Mathematics majors a broad perspective of mathematics, mathematical activity, and problem solving in various areas of application; offers preparation for professional examinations; acquaints students with job possibilities and aids in career decisions; acquaints students with the nature of graduate study in mathematics. Pass/Fail.

- Math elective
**3 credit hours**

### Supporting Courses (16 hours)

### MATH 3320 - Teaching Mathematics in the Middle Grades

**3 credit hours**Prerequisite: Admission to the teacher education program. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in middle school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the middle school curriculum. Must be taken prior to student teaching.

### MATH 3330 - Teaching Mathematics in the Secondary Grades

**3 credit hours**Prerequisites: Admission to teacher education, completion of the mathematics core, and MATH 3320. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in secondary school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the secondary school curriculum. Must be taken prior to student teaching.

### MATH 4540 - Topics in Secondary School Mathematics

**3 credit hours**Prerequisites: Admission to teacher education; MATH 2010, MATH 2050, and MATH 3110. Required of all Mathematics majors seeking a license to teach mathematics in grades 7-12. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and applications of these topics to the pre-college level classroom.

### MATH 4740 - Research Methods

**3 credit hours**(Same as ABAS/BIOL/GEOL/CHEM/PHYS 4740.) Prerequisite: YOED 3520. Provides secondary science and mathematics teacher candidates with the tools that scientists use to solve scientific problems. Students will use these tools in a laboratory setting, communicate findings, and understand how scientists develop new knowledge.

- Elective
**4 credit hours**(CSCI 1170 recommended)

### Secondary Education Minor-MTeach (30 hours)

See**Secondary Education Minor-MTeach **for further information.

### Total hours in program: 120

### Curriculum: Mathematics, Mathematics Education

**Curricular listings include General Education requirements in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences categories.**

### Freshman

### MATH 1910 - Calculus I

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. An introduction to calculus with an emphasis on analysis of functions, multidisciplinary applications of calculus, and theoretical understanding of differentiation and integration. Topics include the definition of the derivative, differentiation techniques, and applications of the derivative. Calculus topics related to trigonometric, exponential, and logarithmic functions also included. Course concludes with the fundamental theorem of calculus; the definition of antidifferentiation and the definite integral; basic applications of integrations; and introductory techniques of integration. Graphing calculator required. TBR Common Course: MATH 1910

### MATH 1920 - Calculus II

**4 credit hours**Prerequisite: MATH 1910 with C (2.00) or better. A topics course providing a wide view of different techniques and applications of calculus in the plane. Techniques of integration and applications of integration fully developed. Power series and Taylor series included. Emphasis on multidisciplinary applications includes Taylor series approximation; applications of integration to physics, biology, and business; and geometric and power series applications. Graphing calculator required. TBR Common Course: MATH 1920

### ENGL 1010 - Expository Writing

**3 credit hours**The first General Education English course. Emphasis on learning to adapt composing processes to a variety of expository and analytic writing assignments. Minimum grade of C- required for credit.

### ENGL 1020 - Research and Argumentative Writing

**3 credit hours**Prerequisite: ENGL 1010. The second General Education English course. Emphasis on analytic and argumentative writing and on locating, organizing, and using library resource materials in the writing. Minimum grade of C- required for credit.

- Humanities and/or Fine Arts
**3 credit hours**

- Natural Sciences (2 prefixes)
**8 credit hours**

- Social/Behavioral Sciences
**3 credit hours**

### MSE 1010 - Step 1: Inquiry Approaches to Teaching

**1 credit hour**Prerequisite: An interest in exploring teaching. Readings, discussions, and activities associated with the planning and instruction of inquiry-based mathematics and/or science lessons. Includes field-based teaching.

### MSE 2010 - Step 2: Inquiry Lesson Design

**1 credit hour**Prerequisite: MSE 1010. Builds on the lesson design skills developed in MSE 1010. Readings, discussions, and activities associated with the planning and instruction of inquiry-based mathematics or science lessons in the middle school. Includes field-based teaching.

### Subtotal: 30 Hours

### Sophomore

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**Prerequisite: MATH 1910. Vectors and vector spaces, matrices and systems of linear equations, geometry of vector spaces and linear transformations in a vector space.

### MATH 2050 - Probability and Statistics

**3 credit hours**Prerequisite: Calculus I. Data analysis, probability, and statistical inference. The inference material covers means, proportions, and variances for one and two samples, one-way ANOVA, regression and correlation, and chi-square analysis. TBR Common Course: MATH 2050

### MATH 3110 - Calculus III

**4 credit hours**Prerequisite: MATH 1920. Adjusts calculus techniques developed in the plane (Calculus I and II) to make them applicable in three-dimensional space. Introductory study of the nature of three-dimensional space and definition of the algebraic calculations in three-dimensional space. Differential and integral calculus definitions and techniques revised to appropriately transfer into this new space. Topics include multivariate functions, partial differentiation, partial integration, multiple integration, and multidisciplinary applications.

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**Prerequisite: MATH 1920. The language of mathematics, set theory and proof, relations and functions, number systems, mathematical structures. Focuses on the transition from lower-division study to upper-division study by actively engaging the student in problem solving, mathematical reasoning, and both informal and technical writing.

### COMM 2200 - Fundamentals of Communication

**3 credit hours**Principles and processes of effective public oral communication including researching, critical thinking, organizing, presenting, listening, and using appropriate language. Counts as part of the General Education Communication requirement. TBR Common Course: COMM 2025

- Elective
**4 credit hours**(CSCI 1170 recommended)

### ENGL 2020 - Themes in Literature and Culture

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. Traces a specific theme or idea through a number of literary texts that reflect different historical and cultural contexts. Subject will vary.

### ENGL 2030 - The Experience of Literature

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. The reading of a variety of literary types which illuminate themes and experiences common to human existence.

### HUM 2610 - Foreign Literature in Translation

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. Representative works of French, German, and Hispanic authors in English translation. No foreign-language proficiency required. Carries General Education credit.

### YOED 3520 - Knowing and Learning in Science and Mathematics

**3 credit hours**Prerequisites: MSE 1010 and MSE 2010. Focuses on issues of what it means to learn and know science and mathematics. Included are topics related to standards of knowing and understanding powerful ideas in mathematics and science, links between knowing and developing in learning theory, and the content and evolution of scientific ideas. Students required to conduct interviews with public school practitioners.

### YOED 3550 - Classroom Interactions in Mathematics and Science

**3 credit hours**Prerequisite: YOED 3520. Continues the process of preparing candidates to teach mathematics and science in upper elementary and secondary settings and to learn how content and pedagogy combine to make effective teaching. Focuses on building awareness and understanding of equity issues and their effects on learning.

- Humanities and/or Fine Arts
**3 credit hours**

### Subtotal: 32 Hours

### Junior

### MATH 3070 - College Geometry

**3 credit hours**Prerequisite: MATH 3460. Advanced treatment of standard topics in Euclidean geometry using informal and axiomatic approaches. Includes proofmaking techniques, traditional and transformational geometry, finite geometries, and a brief introduction to other geometries.

### MATH 3320 - Teaching Mathematics in the Middle Grades

**3 credit hours**Prerequisite: Admission to the teacher education program. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in middle school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the middle school curriculum. Must be taken prior to student teaching.

### MATH 4510 - Abstract Algebra I

**3 credit hours**Prerequisite: MATH 3460. An introduction to groups, with a brief introduction to rings, integral domains, and fields.

### MATH 4620 - History and Philosophy of Mathematics

**3 credit hours**Prerequisite: MATH 3460. Background in geometry and number theory helpful. The character of mathematical thought by way of mathematical problems that have occupied the outstanding mathematicians of Babylon, Egypt, Greece, China, the Renaissance, and modern times paralleled with a study of three schools of mathematical philosophy: intuitionism, logicism, and formalism.

### MATH 4540 - Topics in Secondary School Mathematics

**3 credit hours**Prerequisites: Admission to teacher education; MATH 2010, MATH 2050, and MATH 3110. Required of all Mathematics majors seeking a license to teach mathematics in grades 7-12. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and applications of these topics to the pre-college level classroom.

- MATH elective
**3 credit hours**(approved by advisor)

- Social/Behavioral Sciences
**3 credit hours**

### MATH 4740 - Research Methods

**3 credit hours**(Same as ABAS/BIOL/GEOL/CHEM/PHYS 4740.) Prerequisite: YOED 3520. Provides secondary science and mathematics teacher candidates with the tools that scientists use to solve scientific problems. Students will use these tools in a laboratory setting, communicate findings, and understand how scientists develop new knowledge.

### PHIL 3120 - Perspectives on Science and Math

**3 credit hours**Readings, discussions, and activities associated with history and philosophy of science and mathematics.

**Choose 6 hours from:**

### HIST 2010 - Survey of United States History I

**3 credit hours**Survey of the political, economic, social, cultural, and diplomatic phases of American life in its regional, national, and international aspects. HIST 2010 discusses the era from the beginning to 1877. HIST 2020 discusses the era from 1877 to the present. These courses are prerequisite for all advanced courses in American history and satisfy the General Education History requirement. HIST 2010 is NOT a prerequisite for HIST 2020. TBR Common Course: HIST 2010

### HIST 2020 - Survey of United States History II

**3 credit hours**Survey of the political, economic, social, cultural, and diplomatic phases of American life in its regional, national, and international aspects. HIST 2010 discusses the era from the beginning to 1877. HIST 2020 discusses the era from 1877 to the present. These courses are prerequisite for all advanced courses in American history and satisfy the General Education History requirement. HIST 2010 is NOT a prerequisite for HIST 2020. TBR Common Course: HIST 2020

### HIST 2030 - Tennessee History

**3 credit hours**The role of the state in the development of the nation. May be used to satisfy one part of the General Education History requirement. TBR Common Course: HIST 2030

### Subtotal: 33 Hours

### Senior

### MATH 3330 - Teaching Mathematics in the Secondary Grades

**3 credit hours**Prerequisites: Admission to teacher education, completion of the mathematics core, and MATH 3320. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in secondary school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the secondary school curriculum. Must be taken prior to student teaching.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**Open only to Mathematics majors; normally taken during last regular semester of coursework. Required of all Mathematics majors. Offers graduating Mathematics majors a broad perspective of mathematics, mathematical activity, and problem solving in various areas of application; offers preparation for professional examinations; acquaints students with job possibilities and aids in career decisions; acquaints students with the nature of graduate study in mathematics. Pass/Fail.

### YOED 4040 - Residency I: MTeach

**4 credit hours**Prerequisites: Admission to teacher education program; successful completion of YOED 3520 and YOED 3550; overall grade point average maintained at a minimum of 2.75; grade point average in the major at a minimum of 2.5; and senior standing. A school-based clinical experience in a problem-based learning format in biology, chemistry, mathematics, or physics education.

**NOTE: All students must obtain a grade of B or better in this course to move forward to Residency II.**

### YOED 4050 - Project-Based Instruction in Mathematics and Science

**3 credit hours**Prerequisites: Admission to the MTeach Program (Mathematics and Science majors only). Readings, discussions, and activities associated with the planning and instruction of inquiry-based STEM lessons. Field-based teaching, including out-of-school research and instructional settings.

### YOED 4400 - Residency II

**12 credit hours**Prerequisites: Admission to Teacher Education program; successful completion (with grade of B or better) of YOED 2500, YOED 3000, YOED 3300, YOED 4020,YOED 4030, or YOED 4040; passing score(s) on the specialty area exam(s) of Praxis II; overall grade point average maintained at a minimum of 2.75; grade point average in the major at a minimum of 2.50; and senior standing. A full-day, full-semester supervised teaching experience in a public school classroom. Pass/Fail grading.

### Subtotal: 25 Hours

## Advanced Professional Mathematics

# Mathematics, Professional Mathematics Concentration (Advanced Mathematics), B.S.

**Mathematical Sciences
615-898-2669
Don Nelson, program coordinatorDonald.Nelson@mtsu.edu**

Mathematics majors must declare a concentration chosen from Professional Mathematics or Mathematics Education. Students opting the Professional Mathematics concentration will choose from tracks in general mathematics, advanced mathematics, business, statistics, and industrial mathematics.

All courses in the Mathematics major or minor (including supporting coursework) must be completed with a grade of C (2.00) or better. All courses transferred from other institutions for credit in the Mathematics major or minor must carry a grade of C (2.00) or better and be approved by the department chair.

The following specialized courses do not count toward a Mathematics major or minor: MATH 1010, MATH 1410, MATH 1420, MATH 1530, MATH 1630, MATH 1710, MATH 1720, MATH 1730, MATH 1810, MATH 3300, MATH 3310, and MATH 4010. However, MATH 1630, MATH 1730, and MATH 1810 may count toward a minor in Mathematics for Managerial, Social, and Life Sciences.

Advanced Mathematics TrackStudents interested in preparing for a graduate degree in mathematics should pursue this track.

### Academic Map

Following is a printable, suggested four-year schedule of courses:

**Mathematics, Professional Mathematics (Advanced), B.S., Academic Map **

### Degree Requirements

### General Education (41 hours)

**General Education **requirements (shown in curricular listings below) include courses in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences.

The following General Education course is required for this major:

- MATH 1910 (Math)

### Major Requirements (36 hours)

### Mathematics Core (21 hours)

- MATH 1910 - Calculus I
**4 credit hours**(3 credit hours counted in General Education, 1 credit hour remaining)### MATH 1910 - Calculus I

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. An introduction to calculus with an emphasis on analysis of functions, multidisciplinary applications of calculus, and theoretical understanding of differentiation and integration. Topics include the definition of the derivative, differentiation techniques, and applications of the derivative. Calculus topics related to trigonometric, exponential, and logarithmic functions also included. Course concludes with the fundamental theorem of calculus; the definition of antidifferentiation and the definite integral; basic applications of integrations; and introductory techniques of integration. Graphing calculator required. TBR Common Course: MATH 1910

### MATH 1920 - Calculus II

**4 credit hours**Prerequisite: MATH 1910 with C (2.00) or better. A topics course providing a wide view of different techniques and applications of calculus in the plane. Techniques of integration and applications of integration fully developed. Power series and Taylor series included. Emphasis on multidisciplinary applications includes Taylor series approximation; applications of integration to physics, biology, and business; and geometric and power series applications. Graphing calculator required. TBR Common Course: MATH 1920

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**Prerequisite: MATH 1910. Vectors and vector spaces, matrices and systems of linear equations, geometry of vector spaces and linear transformations in a vector space.

### MATH 3110 - Calculus III

**4 credit hours**Prerequisite: MATH 1920. Adjusts calculus techniques developed in the plane (Calculus I and II) to make them applicable in three-dimensional space. Introductory study of the nature of three-dimensional space and definition of the algebraic calculations in three-dimensional space. Differential and integral calculus definitions and techniques revised to appropriately transfer into this new space. Topics include multivariate functions, partial differentiation, partial integration, multiple integration, and multidisciplinary applications.

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**Prerequisite: MATH 1920. The language of mathematics, set theory and proof, relations and functions, number systems, mathematical structures. Focuses on the transition from lower-division study to upper-division study by actively engaging the student in problem solving, mathematical reasoning, and both informal and technical writing.

### MATH 2050 - Probability and Statistics

**3 credit hours**Prerequisite: Calculus I. Data analysis, probability, and statistical inference. The inference material covers means, proportions, and variances for one and two samples, one-way ANOVA, regression and correlation, and chi-square analysis. TBR Common Course: MATH 2050

### STAT 3150 - Mathematical Statistics I

**3 credit hours**Prerequisite: Two semesters of calculus. Probability theory including basic probability laws, properties of distributions, mathematical expectation, special discrete and continuous distributions, functions of random variables, and selected applications.

### Advanced Track (15 hours)

### MATH 3120 - Differential Equations I

**3 credit hours**Prerequisite: MATH 1920. The solution and application of ordinary differential equations with emphasis on first order equations, second order linear equations, Laplace Transform method, systems of differential equations, and numerical methods.

### MATH 4250 - Theory of Calculus

**3 credit hours**Prerequisites: MATH 3110 and MATH 3460. Theoretical development of limits, continuity, differentiation, and integration in one dimension.

### MATH 4510 - Abstract Algebra I

**3 credit hours**Prerequisite: MATH 3460. An introduction to groups, with a brief introduction to rings, integral domains, and fields.

**Choose two courses from the following:**

### MATH 3260 - Differential Equations II

**3 credit hours**Prerequisite: MATH 3120. A continuation of MATH 3120 with emphasis on series solutions, method of Frobenius, orthogonal functions, equations of Bessel, Legendre, Gauss, Chebyshev; introduction to partial differential equations.

### MATH 4230 - Vector Analysis

**3 credit hours**Prerequisite: MATH 3110. A review of vector algebra and vector differentiation with emphasis on aspects of these topics not covered in previous calculus courses. Stress on line and surface integrals; Divergence Theorem and Stokes' theorem with generalizations and related topics.

### MATH 4270 - Introduction to Topology

**3 credit hours**Prerequisites: MATH 3110 and MATH 3460. Fundamental concepts of topology including continuity, compactness, connectedness, separation axioms, and metric spaces.

### MATH 4420 - Number Theory

**3 credit hours**Prerequisite: MATH 3460. Divisibility, congruences, quadratic residues, Diophantine equations, quadratic forms, and continued fractions.

### MATH 4530 - Abstract Algebra II

**3 credit hours**Prerequisite: MATH 4510. The theory of rings, fields, integral domains, and vector spaces.

### MATH 4700 - Combinatorics and Graph Theory

**3 credit hours**Prerequisites: MATH 2010 and MATH 3460. Selected topics in combinatorics and graph theory emphasizing combinatorial problem solving and algorithmic proof.

### Supporting Courses (16 hours)

### CSCI 1170 - Computer Science I

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. The first of a two-semester sequence using a high-level language; language constructs and simple data structures such as arrays and strings. Emphasis on problem solving using the language and principles of structured software development. Three lecture hours and two laboratory hour.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**Open only to Mathematics majors; normally taken during last regular semester of coursework. Required of all Mathematics majors. Offers graduating Mathematics majors a broad perspective of mathematics, mathematical activity, and problem solving in various areas of application; offers preparation for professional examinations; acquaints students with job possibilities and aids in career decisions; acquaints students with the nature of graduate study in mathematics. Pass/Fail.

- MATH/ACSI/STAT upper-division electives
**9 credit hours**

### Electives (30 hours)

- 8 credit hours must be at the 3000/4000 level
- At least one sequence in algebra (MATH 4420/MATH 4510), analysis (MATH 4230/MATH 4250) or differential equations (MATH 3120/MATH 3260)
- Six hours of a foreign language recommended

### Total hours in program: 120

### Curriculum: Mathematics, Professional Mathematics (Advanced Mathematics)

**Curricular listings include General Education requirements in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences categories.**

**Students should consult their advisors each semester to plan their schedules.**

### Freshman

### ENGL 1010 - Expository Writing

**3 credit hours**The first General Education English course. Emphasis on learning to adapt composing processes to a variety of expository and analytic writing assignments. Minimum grade of C- required for credit.

### ENGL 1020 - Research and Argumentative Writing

**3 credit hours**Prerequisite: ENGL 1010. The second General Education English course. Emphasis on analytic and argumentative writing and on locating, organizing, and using library resource materials in the writing. Minimum grade of C- required for credit.

### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

### CSCI 1170 - Computer Science I

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. The first of a two-semester sequence using a high-level language; language constructs and simple data structures such as arrays and strings. Emphasis on problem solving using the language and principles of structured software development. Three lecture hours and two laboratory hour.

- Natural Sciences
**4 credit hours** - Humanities and/or Fine Arts
**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**Prerequisite: Two semesters of calculus. Probability theory including basic probability laws, properties of distributions, mathematical expectation, special discrete and continuous distributions, functions of random variables, and selected applications.

### HIST 2010 - Survey of United States History I

**3 credit hours**Survey of the political, economic, social, cultural, and diplomatic phases of American life in its regional, national, and international aspects. HIST 2010 discusses the era from the beginning to 1877. HIST 2020 discusses the era from 1877 to the present. These courses are prerequisite for all advanced courses in American history and satisfy the General Education History requirement. HIST 2010 is NOT a prerequisite for HIST 2020. TBR Common Course: HIST 2010

### HIST 2020 - Survey of United States History II

**3 credit hours**Survey of the political, economic, social, cultural, and diplomatic phases of American life in its regional, national, and international aspects. HIST 2010 discusses the era from the beginning to 1877. HIST 2020 discusses the era from 1877 to the present. These courses are prerequisite for all advanced courses in American history and satisfy the General Education History requirement. HIST 2010 is NOT a prerequisite for HIST 2020. TBR Common Course: HIST 2020

### HIST 2030 - Tennessee History

**3 credit hours**The role of the state in the development of the nation. May be used to satisfy one part of the General Education History requirement. TBR Common Course: HIST 2030

### Subtotal: 31 Hours

### Sophomore

### COMM 2200 - Fundamentals of Communication

**3 credit hours**Principles and processes of effective public oral communication including researching, critical thinking, organizing, presenting, listening, and using appropriate language. Counts as part of the General Education Communication requirement. TBR Common Course: COMM 2025

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

- ACSI/MATH/STAT UD elective
**3 credit hours** - Natural Sciences
**4 credit hours** - Minor or elective courses
**6 credit hours**

### HIST 2010 - Survey of United States History I

**3 credit hours**Survey of the political, economic, social, cultural, and diplomatic phases of American life in its regional, national, and international aspects. HIST 2010 discusses the era from the beginning to 1877. HIST 2020 discusses the era from 1877 to the present. These courses are prerequisite for all advanced courses in American history and satisfy the General Education History requirement. HIST 2010 is NOT a prerequisite for HIST 2020. TBR Common Course: HIST 2010

### HIST 2020 - Survey of United States History II

**3 credit hours**Survey of the political, economic, social, cultural, and diplomatic phases of American life in its regional, national, and international aspects. HIST 2010 discusses the era from the beginning to 1877. HIST 2020 discusses the era from 1877 to the present. These courses are prerequisite for all advanced courses in American history and satisfy the General Education History requirement. HIST 2010 is NOT a prerequisite for HIST 2020. TBR Common Course: HIST 2020

### HIST 2030 - Tennessee History

**3 credit hours**The role of the state in the development of the nation. May be used to satisfy one part of the General Education History requirement. TBR Common Course: HIST 2030

### Subtotal: 29 Hours

### Junior

### MATH 3120 - Differential Equations I

**3 credit hours**Prerequisite: MATH 1920. The solution and application of ordinary differential equations with emphasis on first order equations, second order linear equations, Laplace Transform method, systems of differential equations, and numerical methods.

### MATH 4510 - Abstract Algebra I

**3 credit hours**

- Math electives*
**6 credit hours** - Minor or elective courses
**6 credit hours** - Social/Behavioral Sciences (2 prefixes)
**6 credit hours** - Humanities and/or Fine Arts
**3 credit hours**

### ENGL 2020 - Themes in Literature and Culture

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. Traces a specific theme or idea through a number of literary texts that reflect different historical and cultural contexts. Subject will vary.

### ENGL 2030 - The Experience of Literature

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. The reading of a variety of literary types which illuminate themes and experiences common to human existence.

### HUM 2610 - Foreign Literature in Translation

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. Representative works of French, German, and Hispanic authors in English translation. No foreign-language proficiency required. Carries General Education credit.

### Subtotal: 30 Hours

### Senior

### MATH 4250 - Theory of Calculus

**3 credit hours**Prerequisites: MATH 3110 and MATH 3460. Theoretical development of limits, continuity, differentiation, and integration in one dimension.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

- ACSI/MATH/STAT UD electives
**6 credit hours** - Minor or elective courses
**6 credit hours** - Electives
**12 credit hours**

### Subtotal: 30 Hours

### NOTE:

**Choose one course from MATH 4420, MATH 4230, or MATH 3260 and one course from MATH 4270, MATH 4530, or MATH 4700.*

## Business Professional Mathematics

# Mathematics, Professional Mathematics Concentration (Business), B.S.

**Mathematical Sciences
615-898-2669
Don Nelson, program coordinatorDonald.Nelson@mtsu.edu**

Mathematics majors must declare a concentration chosen from Professional Mathematics or Mathematics Education. Students opting the Professional Mathematics concentration will choose from tracks in general mathematics, advanced mathematics, business, statistics, and industrial mathematics.

All courses in the Mathematics major or minor (including supporting coursework) must be completed with a grade of C (2.00) or better. All courses transferred from other institutions for credit in the Mathematics major or minor must carry a grade of C (2.00) or better and be approved by the department chair.

The following specialized courses do not count toward a Mathematics major or minor: MATH 1010, MATH 1410, MATH 1420, MATH 1530, MATH 1630, MATH 1710, MATH 1720, MATH 1730, MATH 1810, MATH 3300, MATH 3310, and MATH 4010. However, MATH 1630, MATH 1730, and MATH 1810 may count toward a minor in Mathematics for Managerial, Social, and Life Sciences.

Business TrackThis track is appropriate for students who seek a broad background from such diverse but mutually supportive areas as mathematics, statistics, computer science, and business. The program offers preparation for the job market or for further study in the more specialized areas of actuarial science, operations research, statistics, computer science, or finance.

### Academic Map

Following is a printable, suggested four-year schedule of courses:

**Mathematics, Professional Mathematics (Business), B.S., Academic Map **

### Degree Requirements

### General Education (41 hours)

**General Education **requirements (shown in curricular listings below) include courses in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences.

The following General Education courses are required for this major:

- MATH 1910 (Math)
- ECON 2410 (Soc/Beh Sci)

### Major Requirements (36 hours)

### Mathematics Core (21 hours)

- MATH 1910 - Calculus I
**4 credit hours**(3 credit hours counted in General Education, 1 credit hour remaining)### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### Business Track (15 hours)

### STAT 4190 - Mathematical Statistics II

**3 credit hours**Prerequisite: STAT 3150 or equivalent. Theory of statistical inference. Topics include sampling distributions, decision theory, estimation, test of hypothesis, regression analysis, analysis of variance, and selected applications.

### STAT 4200 - Statistical Methods for Forecasting

**3 credit hours**Prerequisite: STAT 4190. Topics include application of regression models in forecasting and exponential smoothing methods to forecast nonseasonal time-series, seasonal series, and globally constant seasonal models; stochastic time series models; and forecast evaluation.

### STAT 4360 - Regression Analysis

**3 credit hours**Prerequisite: MATH 2050 or equivalent. Theory and application of regression models. Approaches to model building and data analysis. Computation and interpretation of results facilitated through the use of statistical software packages.

### ACSI 4200 - Introduction to Mathematics of Investment

**3 credit hours**(Same as MATH 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

### MATH 4200 - Introduction to Mathematics of Investment

**3 credit hours**(Same as ACSI 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

**Choose two courses from the following:**

### ACSI 4220 - Mathematics of Pricing Theory

**3 credit hours**Prerequisites: ACSI 4200/MATH 4200 and ECON 2410, ECON 2420; or consent of instructor. Applies calculus and theory of interest tools to intermediate topics in microeconomics. Topics include mathematics of supply, demand, and equilibrium; prices, costs, and the gains from trade; consumer behavior; elasticities; competition; monopoly; market power, collusion, and oligopoly; the mathematics of risk and uncertainty; and surplus economics. For students in Actuarial Science, a preparatory course for a Society of Actuaries/Casualty Actuarial Society VEE (validation by educational experience) course.

### ACSI 4230 - Mathematics of Compound Interest

**3 credit hours**Prerequisite: ACSI 4200/MATH 4200 or consent of instructor. For students in Actuarial Science, offers preparation for the Society of Actuaries/Casualty Actuarial Society Exam 2. Topics include measurement of interest (including accumulated and present value factors), annuities certain, yield rates, amortization schedules, sinking funds, and bonds and related securities.

### ACSI 4630 - Mathematics of Risk Management

**3 credit hours**Prerequisite: ACSI 4200/MATH 4200. For students in Actuarial Science, offers preparation for a Society of Actuaries/Casualty Actuarial Society VEE (validation by educational experience) Course. Topics include mathematical modeling of volatility; pricing of bonds, stocks, and other derivatives with uncertainty; benchmark portfolios; asset/liability management for property/casualty insurers; liability associated with a financially distressed company. Heath-Jarrow-Morton and Cox-Ingersoll-Ross models.

### ACSI 4640 - Mathematics of Options, Futures, and Other Derivatives

**3 credit hours**Prerequisites: ACSI 4630 and ACSI 4200/MATH 4200. For students in Actuarial Science, offers preparation for a Society of Actuaries/Casualty Actuarial Society Course. Topics include risk management using options, interest rate swaps, interest rate caps, Black-Scholes analysis, Taylor series expansion to obtain hedge parameters, portfolio insurance, numerical procedures, interest rate derivatives, and use of Black's model.

### STAT 4320 - Probability and Stochastic Processes

**3 credit hours**Prerequisites: Two semesters of calculus and STAT 3150 (or MATH 2050) or consent of instructor. Theoretical basis for stochastic processes and their use as models of real-world phenomena. Topics include Markov chains, Poisson processes, Brownian motion and stationary processes. Applications include Gambler's Ruin, birth and death models, hitting times, stock option pricing, and the Black-Scholes model.

### STAT 4380 - Experimental Design

**3 credit hours**Prerequisite: MATH 2050 or equivalent. Topics include one-way analysis of variances, multiple comparison, multifactor analysis of variance, and various practical issues in experimental design. Computation and interpretation of results facilitated through the use of statistical software packages.

### Supporting Courses (20 hours)

### ECON 2420 - Principles of Economics, Microeconomics

**3 credit hours**As an aid to understanding modern economic society: economic concepts of consumer and firm behavior; the pricing of goods, services, and productive factors; international topics; and an overview of the American economy.

- CSCI/INFS/BIA electives
**11 credit hours**

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

### ACTG 2110 - Principles of Accounting I

**3 credit hours**Prerequisites: A college-level math course; ENGL 1010; sophomore standing. Financial accounting for proprietorships and partnerships with emphasis on the accounting cycle for service and merchandising organizations. Additional topics include accounting for receivables; inventories; property, plant, and equipment; and current liabilities. (Not open to students with credit in ACTG 3000.)

### ACTG 2120 - Principles of Accounting II

**3 credit hours**Prerequisite: ACTG 2110. A continuation of financial accounting concepts with emphasis on debt and equity structures, the statement of cash flows, and ratio analysis. Managerial accounting topics include job, standard- and activity-based costing, cost/volume/profit (CVP) analysis, and budgeting. (Not open to students with credit in ACTG 2125 or ACTG 3000.) [Same as TBR Community Colleges ACCT 1020.]

OR

### ACTG 3000 - Survey of Accounting for General Business

**3 credit hours**Prerequisites: A college-level math course; ENGL 1010; sophomore standing. Accounting cycle given minor emphasis; financial statement analysis and managerial uses of accounting given major emphasis. May be used for general business minors or M.B.A. candidates who have had no previous accounting courses. (Not open to Accounting majors and students with credit in ACTG 2110 and ACTG 2120.)

### Electives (26 hours)

- 8 credit hours must be taken at the 3000/4000 level

### Total hours in program: 120

### Curriculum: Mathematics, Professional Mathematics (Business)

**Curricular listings include General Education requirements in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences categories.**

**Students should consult their advisors each semester to plan their schedules. **

### Freshman

### ENGL 1010 - Expository Writing

**3 credit hours**The first General Education English course. Emphasis on learning to adapt composing processes to a variety of expository and analytic writing assignments. Minimum grade of C- required for credit.

### ENGL 1020 - Research and Argumentative Writing

**3 credit hours**Prerequisite: ENGL 1010. The second General Education English course. Emphasis on analytic and argumentative writing and on locating, organizing, and using library resource materials in the writing. Minimum grade of C- required for credit.

### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

- Humanities and/or Fine Arts
**3 credit hours** - Social/Behavioral Sciences
**3 credit hours** - Natural Sciences
**4 credit hours** - CSCI/INFS/BIA electives
**7 credit hours**

### Subtotal: 31 Hours

### Sophomore

### COMM 2200 - Fundamentals of Communication

**3 credit hours**Principles and processes of effective public oral communication including researching, critical thinking, organizing, presenting, listening, and using appropriate language. Counts as part of the General Education Communication requirement. TBR Common Course: COMM 2025

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

### ECON 2410 - Principles of Economics, Macroeconomics

**3 credit hours**As an aid to understanding modern economic society: economic concepts of national income and its fluctuations, inflation, unemployment, role of the banking system, monetary and fiscal policies, and international topics.

### ECON 2420 - Principles of Economics, Microeconomics

**3 credit hours**As an aid to understanding modern economic society: economic concepts of consumer and firm behavior; the pricing of goods, services, and productive factors; international topics; and an overview of the American economy.

- Natural Sciences
**4 credit hours** - Elective
**3 credit hours**

**Choose 6 hours from:**

### HIST 2010 - Survey of United States History I

**3 credit hours**

### HIST 2020 - Survey of United States History II

**3 credit hours**

### HIST 2030 - Tennessee History

**3 credit hours**

### Subtotal: 32 Hours

### Junior

### STAT 4190 - Mathematical Statistics II

**3 credit hours**Prerequisite: STAT 3150 or equivalent. Theory of statistical inference. Topics include sampling distributions, decision theory, estimation, test of hypothesis, regression analysis, analysis of variance, and selected applications.

- Minor or elective courses
**6 credit hours** - CSCI/INFS/BIA elective
**4 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### ACSI 4200 - Introduction to Mathematics of Investment

**3 credit hours**(Same as MATH 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

### MATH 4200 - Introduction to Mathematics of Investment

**3 credit hours**(Same as ACSI 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

### ACTG 3000 - Survey of Accounting for General Business

**3 credit hours**Prerequisites: A college-level math course; ENGL 1010; sophomore standing. Accounting cycle given minor emphasis; financial statement analysis and managerial uses of accounting given major emphasis. May be used for general business minors or M.B.A. candidates who have had no previous accounting courses. (Not open to Accounting majors and students with credit in ACTG 2110 and ACTG 2120.)

OR

### ACTG 2110 - Principles of Accounting I

**3 credit hours**Prerequisites: A college-level math course; ENGL 1010; sophomore standing. Financial accounting for proprietorships and partnerships with emphasis on the accounting cycle for service and merchandising organizations. Additional topics include accounting for receivables; inventories; property, plant, and equipment; and current liabilities. (Not open to students with credit in ACTG 3000.)

### ACTG 2120 - Principles of Accounting II

**3 credit hours**Prerequisite: ACTG 2110. A continuation of financial accounting concepts with emphasis on debt and equity structures, the statement of cash flows, and ratio analysis. Managerial accounting topics include job, standard- and activity-based costing, cost/volume/profit (CVP) analysis, and budgeting. (Not open to students with credit in ACTG 2125 or ACTG 3000.) [Same as TBR Community Colleges ACCT 1020.]

### ENGL 2020 - Themes in Literature and Culture

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. Traces a specific theme or idea through a number of literary texts that reflect different historical and cultural contexts. Subject will vary.

### ENGL 2030 - The Experience of Literature

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. The reading of a variety of literary types which illuminate themes and experiences common to human existence.

### HUM 2610 - Foreign Literature in Translation

**3 credit hours**Prerequisites: ENGL 1010 and ENGL 1020. Representative works of French, German, and Hispanic authors in English translation. No foreign-language proficiency required. Carries General Education credit.

### Subtotal: 25 Hours

### Senior

### STAT 4200 - Statistical Methods for Forecasting

**3 credit hours**Prerequisite: STAT 4190. Topics include application of regression models in forecasting and exponential smoothing methods to forecast nonseasonal time-series, seasonal series, and globally constant seasonal models; stochastic time series models; and forecast evaluation.

### STAT 4360 - Regression Analysis

**3 credit hours**Prerequisite: MATH 2050 or equivalent. Theory and application of regression models. Approaches to model building and data analysis. Computation and interpretation of results facilitated through the use of statistical software packages.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

- Humanities and/or Fine Arts
**3 credit hours** - Minor or elective courses
**12 credit hours** - Electives
**5 credit hours** - ACSI/STAT electives*
**6 credit hours**

### Subtotal: 32 Hours

### NOTE:

* *Choose from ACSI 4220, ACSI 4230, **ACSI 4630,*ACSI 4640, STAT 4320, or STAT 4380.

## General Professional Mathematics

# Mathematics, Professional Mathematics Concentration (General Mathematics), B.S.

**Mathematical Sciences
615-898-2669
Don Nelson, program coordinatorDonald.Nelson@mtsu.edu**

Mathematics majors must declare a concentration chosen from Professional Mathematics or Mathematics Education. Students opting the Professional Mathematics concentration will choose from tracks in general mathematics, advanced mathematics, business, statistics, and industrial mathematics.

Students desiring a broad general background in mathematics should pursue this track.

### Academic Map

Following is a printable, suggested four-year schedule of courses:

**Mathematics, Professional Mathematics (General), B.S., Academic Map **

### Degree Requirements

### General Education (41 hours)

**General Education **requirements (shown in curricular listings below) include courses in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences.

The following General Education course is required for this major:

- MATH 1910 (Math)

### Major Requirements (36 hours)

### Mathematics Core (21 hours)

**4 credit hours**(3 credit hours counted in General Education, 1 credit hour remaining)### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### General Track (15 hours)

### MATH 3120 - Differential Equations I

**3 credit hours**Prerequisite: MATH 1920. The solution and application of ordinary differential equations with emphasis on first order equations, second order linear equations, Laplace Transform method, systems of differential equations, and numerical methods.

### MATH 4510 - Abstract Algebra I

**3 credit hours**

**Choose three courses from the following:**

### MATH 3260 - Differential Equations II

**3 credit hours**Prerequisite: MATH 3120. A continuation of MATH 3120 with emphasis on series solutions, method of Frobenius, orthogonal functions, equations of Bessel, Legendre, Gauss, Chebyshev; introduction to partial differential equations.

### MATH 4230 - Vector Analysis

**3 credit hours**Prerequisite: MATH 3110. A review of vector algebra and vector differentiation with emphasis on aspects of these topics not covered in previous calculus courses. Stress on line and surface integrals; Divergence Theorem and Stokes' theorem with generalizations and related topics.

### MATH 4250 - Theory of Calculus

**3 credit hours**Prerequisites: MATH 3110 and MATH 3460. Theoretical development of limits, continuity, differentiation, and integration in one dimension.

### MATH 4270 - Introduction to Topology

**3 credit hours**Prerequisites: MATH 3110 and MATH 3460. Fundamental concepts of topology including continuity, compactness, connectedness, separation axioms, and metric spaces.

### MATH 4310 - Numerical Analysis I

**3 credit hours**Prerequisites: CSCI 1170 and MATH 2010 or MATH 3180/CSCI 3180 or consent of instructor. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

### MATH 4320 - Numerical Analysis II

**3 credit hours**Prerequisite: MATH 4310. A continuation of MATH 4310.

### MATH 4420 - Number Theory

**3 credit hours**Prerequisite: MATH 3460. Divisibility, congruences, quadratic residues, Diophantine equations, quadratic forms, and continued fractions.

### MATH 4530 - Abstract Algebra II

**3 credit hours**Prerequisite: MATH 4510. The theory of rings, fields, integral domains, and vector spaces.

### MATH 4700 - Combinatorics and Graph Theory

**3 credit hours**Prerequisites: MATH 2010 and MATH 3460. Selected topics in combinatorics and graph theory emphasizing combinatorial problem solving and algorithmic proof.

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### STAT 4190 - Mathematical Statistics II

**3 credit hours**Prerequisite: STAT 3150 or equivalent. Theory of statistical inference. Topics include sampling distributions, decision theory, estimation, test of hypothesis, regression analysis, analysis of variance, and selected applications.

### Supporting Courses (16 hours)

### CSCI 1170 - Computer Science I

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. The first of a two-semester sequence using a high-level language; language constructs and simple data structures such as arrays and strings. Emphasis on problem solving using the language and principles of structured software development. Three lecture hours and two laboratory hour.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

- MATH upper-division electives
**9 credit hours**

### Electives (30 hours)

- 8 credit hours must be taken at the 3000/4000 level

### Total hours in program: 120

### Curriculum: Mathematics, Professional Mathematics (General Mathematics)

**Students should consult their advisors each semester to plan their schedules. **

### Freshman

### ENGL 1010 - Expository Writing

**3 credit hours**

### ENGL 1020 - Research and Argumentative Writing

**3 credit hours**

### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

### CSCI 1170 - Computer Science I

**4 credit hours**

- Natural Sciences
**4 credit hours** - Humanities and/or Fine Arts
**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### HIST 2010 - Survey of United States History I

**3 credit hours**

### HIST 2020 - Survey of United States History II

**3 credit hours**

### HIST 2030 - Tennessee History

**3 credit hours**

### Subtotal: 31 Hours

### Sophomore

### COMM 2200 - Fundamentals of Communication

**3 credit hours**

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3120 - Differential Equations I

**3 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

- Minor or elective courses
**9 credit hours** - Natural Sciences
**4 credit hours**

### HIST 2010 - Survey of United States History I

**3 credit hours**

### HIST 2020 - Survey of United States History II

**3 credit hours**

### HIST 2030 - Tennessee History

**3 credit hours**

### Subtotal: 32 Hours

### Junior

### ENGL 2020 - Themes in Literature and Culture

**3 credit hours**

### ENGL 2030 - The Experience of Literature

**3 credit hours**

### HUM 2610 - Foreign Literature in Translation

**3 credit hours**

### MATH 4510 - Abstract Algebra I

**3 credit hours**

- MATH/STAT electives*
**6 credit hours** - Social/Behavioral Sciences (2 rubrics)
**6 credit hours** - Minor or elective courses
**6 credit hours** - MATH UD elective
**3 credit hours**

### Subtotal: 27 Hours

### Senior

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

- MATH/STAT elective*
**3 credit hours** - Humanities and/or Fine Arts
**3 credit hours** - MATH UD electives
**6 credit hours** - Electives
**12 credit hours** - Minor or elective course
**3 credit hours**

### Subtotal: 30 Hours

### NOTE:

**Choose from MATH 3260, MATH 4230, MATH 4250, MATH 4270, MATH 4310, MATH 4320, MATH 4420, MATH 4530, MATH 4700, STAT 3150, STAT 4190.*

## Industrial General Professional Mathematics

# Mathematics, Professional Mathematics Concentration (Industrial Mathematics), B.S.

**Mathematical Sciences
615-898-2669
Don Nelson, program coordinatorDonald.Nelson@mtsu.edu**

The industrial mathematics track offers students a program of study that incorporates the areas of mathematics that contribute to business and industry. Coursework is designed to produce graduates who have strong qualifications that make them competitive for positions in industry and provides a solid foundation for students interested in pursuing graduate study in the area.

### Academic Map

Following is a printable, suggested four-year schedule of courses:

**Mathematics, Professional Mathematics (Industrial), B.S., Academic Map **

### Degree Requirements

### General Education (41 hours)

**General Education **requirements (shown in curricular listings below) include courses in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences.

The following General Education courses are required for this major:

- MATH 1910 (Math)
- PHYS 2110/2111 (Nat Sci)

### Major Requirements (36 hours)

### Mathematics Core (21 hours)

**4 credit hours**(3 credit hours counted in General Education, 1 credit hour remaining)### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### Industrial Mathematics Track (15 hours)

### MATH 3120 - Differential Equations I

**3 credit hours**

### MATH 3260 - Differential Equations II

**3 credit hours**Prerequisite: MATH 3120. A continuation of MATH 3120 with emphasis on series solutions, method of Frobenius, orthogonal functions, equations of Bessel, Legendre, Gauss, Chebyshev; introduction to partial differential equations.

### MATH 4250 - Theory of Calculus

**3 credit hours**

### MATH 4310 - Numerical Analysis I

**3 credit hours**Prerequisites: CSCI 1170 and MATH 2010 or MATH 3180/CSCI 3180 or consent of instructor. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

- Advisor-approved MATH elective
**3 credit hours**

### Supporting Courses (24 hours)

### CSCI 1170 - Computer Science I

**4 credit hours**

### CSCI 2170 - Computer Science II

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. A continuation of CSCI 1170. Topics include introductory object-oriented programming techniques, software engineering principles, records, recursion, pointers, stacks and queues, linked lists, trees, and sorting and searching. Three lecture hours and two laboratory hours.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

### PHYS 2120 - Calculus-Based Physics II

**0 credit hours**Prerequisites: PHYS 2111; MATH 1920 with a minimum grade of C (2.0). Required corequisite: PHYS 2121. A lecture course that supplements the discussion in PHYS 2121. Topics include a microscopic view of electrical force and field, polarization, electric circuits, magnetic force and field, electric potential, symmetries of fields, Maxwell's equations, electromagnetic radiation, optics, and wave phenomena. One and one-half hours lecture.

### PHYS 2121 - Calculus-Based Physics Laboratory II

**4 credit hours**Prerequisites: PHYS 2111; MATH 1920 with a minimum grade of C (2.0). Required corequisite: PHYS 2120. A laboratory-based course to accompany PHYS 2120. Includes discussions, group problem solving, and hands-on activities. Two three-hour sessions. TBR Common Course: PHYS 2121

**Select 9 credit hours from the following:**

### MATH 4230 - Vector Analysis

**3 credit hours**Prerequisite: MATH 3110. A review of vector algebra and vector differentiation with emphasis on aspects of these topics not covered in previous calculus courses. Stress on line and surface integrals; Divergence Theorem and Stokes' theorem with generalizations and related topics.

### MATH 4270 - Introduction to Topology

**3 credit hours**Prerequisites: MATH 3110 and MATH 3460. Fundamental concepts of topology including continuity, compactness, connectedness, separation axioms, and metric spaces.

### MATH 4320 - Numerical Analysis II

**3 credit hours**Prerequisite: MATH 4310. A continuation of MATH 4310.

### MATH 4601 - Problems in Contemporary Mathematics Complex Variables

**3 credit hours**Prerequisite: MATH 3460. Fundamental principles and applications of complex variables.

### MATH 4700 - Combinatorics and Graph Theory

**3 credit hours**Prerequisites: MATH 2010 and MATH 3460. Selected topics in combinatorics and graph theory emphasizing combinatorial problem solving and algorithmic proof.

### STAT 4190 - Mathematical Statistics II

**3 credit hours**

### Minor (17-19 hours)

- Minor to be chosen from Computer Science, Physics, Chemistry, Biology, Aerospace, or Engineering Technology

### Electives (3-5 hours)

### Total hours in program: 120

### Curriculum: Mathematics, Professional Mathematics (Industrial Mathematics)

**Students should consult their advisors each semester to plan their schedules. **

### Freshman

### ENGL 1010 - Expository Writing

**3 credit hours**

### ENGL 1020 - Research and Argumentative Writing

**3 credit hours**

### COMM 2200 - Fundamentals of Communication

**3 credit hours**

### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

### CSCI 1170 - Computer Science I

**4 credit hours**

### CSCI 2170 - Computer Science II

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. A continuation of CSCI 1170. Topics include introductory object-oriented programming techniques, software engineering principles, records, recursion, pointers, stacks and queues, linked lists, trees, and sorting and searching. Three lecture hours and two laboratory hours.

- Natural Sciences
**4 credit hours**

### HIST 2010 - Survey of United States History I

**3 credit hours**

### HIST 2020 - Survey of United States History II

**3 credit hours**

### HIST 2030 - Tennessee History

**3 credit hours**

### Subtotal: 32 Hours

### Sophomore

### ENGL 2020 - Themes in Literature and Culture

**3 credit hours**

### ENGL 2030 - The Experience of Literature

**3 credit hours**

### HUM 2610 - Foreign Literature in Translation

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

- Social/Behavioral Sciences
**3 credit hours** - Humanities and/or Fine Arts
**3 credit hours** - Minor or elective courses
**6 credit hours**

### PHYS 2110 - Calculus-Based Physics I

**0 credit hours**Prerequisite: MATH 1910 with a minimum grade of C (2.0). Corequisite: PHYS 2111. A calculus-based introduction to mechanics and wave motion. One and one-half hours lecture. TBR Common Course: PHYS 2110

### PHYS 2111 - Calculus-Based Physics Laboratory I

**4 credit hours**Prerequisite: MATH 1910 with a minimum grade of C (2.0). Corequisite: PHYS 2110. Laboratory course to accompany PHYS 2110. Experiments in mechanics, waves, and thermodynamics. Data reduction, error analysis, and report writing. Two three-hour sessions. TBR Common Course: PHYS 2111

### PHYS 2120 - Calculus-Based Physics II

**0 credit hours**Prerequisites: PHYS 2111; MATH 1920 with a minimum grade of C (2.0). Required corequisite: PHYS 2121. A lecture course that supplements the discussion in PHYS 2121. Topics include a microscopic view of electrical force and field, polarization, electric circuits, magnetic force and field, electric potential, symmetries of fields, Maxwell's equations, electromagnetic radiation, optics, and wave phenomena. One and one-half hours lecture.

### PHYS 2121 - Calculus-Based Physics Laboratory II

**4 credit hours**Prerequisites: PHYS 2111; MATH 1920 with a minimum grade of C (2.0). Required corequisite: PHYS 2120. A laboratory-based course to accompany PHYS 2120. Includes discussions, group problem solving, and hands-on activities. Two three-hour sessions. TBR Common Course: PHYS 2121

### Subtotal: 30 Hours

### Junior

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3120 - Differential Equations I

**3 credit hours**

### MATH 3260 - Differential Equations II

**3 credit hours**

### MATH 4250 - Theory of Calculus

**3 credit hours**

- Social/Behavioral Sciences
**3 credit hours** - Minor or elective courses
**6 credit hours** - MATH UD elective
**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### HIST 2010 - Survey of United States History I

**3 credit hours**

### HIST 2020 - Survey of United States History II

**3 credit hours**

### HIST 2030 - Tennessee History

**3 credit hours**

### Subtotal: 30 Hours

### Senior

### MATH 4310 - Numerical Analysis I

**3 credit hours**Prerequisites: CSCI 1170 and MATH 2010 or MATH 3180/CSCI 3180 or consent of instructor. Application of computer-oriented numerical algorithms to algebraic equations, differential and integral equations, and linear algebra. Rigorous mathematical treatment of error included.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

- MATH/STAT electives
**9 credit hours** - Minor or elective courses
**6 credit hours** - Humanities and/or Fine Arts
**3 credit hours** - Electives
**4 credit hours**

### Subtotal: 28 Hours

## Statistics Professional Mathematics Statistics

# Mathematics, Professional Mathematics Concentration (Statistics), B.S.

**Mathematical Sciences
615-898-2669
Don Nelson, program coordinatorDonald.Nelson@mtsu.edu**

The statistics track offers students a program of study in one of the broadest areas of applied mathematics. Statistical methods are used in many fields, including agriculture, business, communications, government, health, industry, public policy, sports, and science. Courses provide students the opportunity to learn data analysis and to develop skills in statistical methods of wide application. Emphasizing a blend of theory and practice, the program is designed to provide students with the necessary background for employment as statisticians in the public or private sector and to provide a solid foundation for those students interested in graduate studies.

### Academic Map

Following is a printable, suggested four-year schedule of courses:

**Mathematics, Professional Mathematics (Statistics), B.S., Academic Map **

### Degree Requirements

### General Education (41 hours)

**General Education **requirements (shown in curricular listings below) include courses in Communication, History, Humanities and/or Fine Arts, Mathematics, Natural Sciences, and Social/Behavioral Sciences.

The following General Education course is required for this major:

- MATH 1910 (Math)

### Major Requirements (51 hours)

### Mathematics Core (21 hours)

**4 credit hours**(3 credit hours counted in General Education, 1 credit hour remaining)### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 3110 - Calculus III

**4 credit hours**

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### Statistics Track (30 hours)

### CSCI 1170 - Computer Science I

**4 credit hours**

### CSCI 2170 - Computer Science II

**4 credit hours**Prerequisite: MATH 1730 with a grade of C or better or Math ACT of 26 or better or Calculus placement test score of 73 or better. A continuation of CSCI 1170. Topics include introductory object-oriented programming techniques, software engineering principles, records, recursion, pointers, stacks and queues, linked lists, trees, and sorting and searching. Three lecture hours and two laboratory hours.

### MATH 2110 - Data Analysis

**1 credit hour**Prerequisite or corequisite: MATH 1530 or MATH 2050 or equivalent. Using computer software for graphing and analysis of scientific and statistical data.

### MATH 2530 - Applied Statistics II

**3 credit hours**Prerequisite: MATH 1530 or MATH 2050 or equivalent. Explores the application of the following statistical methods: analysis of variance, simple and multiple regression models, categorical data analysis, and nonparametric methods. Three hours lecture per week.

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### STAT 4190 - Mathematical Statistics II

**3 credit hours**

**Choose 9 hours from the following:**

### STAT 4200 - Statistical Methods for Forecasting

**3 credit hours**Prerequisite: STAT 4190. Topics include application of regression models in forecasting and exponential smoothing methods to forecast nonseasonal time-series, seasonal series, and globally constant seasonal models; stochastic time series models; and forecast evaluation.

### STAT 4320 - Probability and Stochastic Processes

**3 credit hours**Prerequisites: Two semesters of calculus and STAT 3150 (or MATH 2050) or consent of instructor. Theoretical basis for stochastic processes and their use as models of real-world phenomena. Topics include Markov chains, Poisson processes, Brownian motion and stationary processes. Applications include Gambler's Ruin, birth and death models, hitting times, stock option pricing, and the Black-Scholes model.

### STAT 4360 - Regression Analysis

**3 credit hours**Prerequisite: MATH 2050 or equivalent. Theory and application of regression models. Approaches to model building and data analysis. Computation and interpretation of results facilitated through the use of statistical software packages.

### STAT 4370 - Nonparametric Statistics

**3 credit hours**Prerequisite: MATH 2050 or equivalent. Statistical tests that require no assertions about parameters or about the form of the population from which the samples are drawn. A wide range of practical problems studied.

### STAT 4380 - Experimental Design

**3 credit hours**Prerequisite: MATH 2050 or equivalent. Topics include one-way analysis of variances, multiple comparison, multifactor analysis of variance, and various practical issues in experimental design. Computation and interpretation of results facilitated through the use of statistical software packages.

### STAT 4600 - Problems in Statistics

**1 to 6 credit hours**Prerequisites: Senior standing and consent of instructor. Students wishing to enroll must submit a written course/topic proposal to the department prior to the semester in which STAT 4600 is taken. Proposal must be approved prior to taking the course. At the conclusion, each enrollee must submit a written report to the department.

### Supporting Courses (6 hours)

- Courses chosen with approval of statistics advisor include computing, information systems, and other relevant courses

### Electives (25 hours)

- At least 20 credit hours must be 3000/4000 level

### Total hours in program: 120

### Curriculum: Mathematics, Professional Mathematics (Statistics)

**Students should consult their advisors each semester to plan their schedules. **

### Freshman

### ENGL 1010 - Expository Writing

**3 credit hours**

### ENGL 1020 - Research and Argumentative Writing

**3 credit hours**

### MATH 1910 - Calculus I

**4 credit hours**

### MATH 1920 - Calculus II

**4 credit hours**

- Natural Sciences
**4 credit hours** - Supporting course*
**3 credit hours** - Humanities and/or Fine Arts
**3 credit hours** - Social/Behavioral Sciences
**3 credit hours**

### HIST 2010 - Survey of United States History I

**3 credit hours**

### HIST 2020 - Survey of United States History II

**3 credit hours**

### HIST 2030 - Tennessee History

**3 credit hours**

### Subtotal: 30 Hours

### Sophomore

### COMM 2200 - Fundamentals of Communication

**3 credit hours**

### MATH 2010 - Elements of Linear Algebra

**3 credit hours**

### MATH 2050 - Probability and Statistics

**3 credit hours**

### MATH 2110 - Data Analysis

**1 credit hour**Prerequisite or corequisite: MATH 1530 or MATH 2050 or equivalent. Using computer software for graphing and analysis of scientific and statistical data.

### MATH 3110 - Calculus III

**4 credit hours**

- Minor or elective courses
**6 credit hours** - Natural Sciences
**4 credit hours** - Supporting course*
**3 credit hours**

### HIST 2010 - Survey of United States History I

**3 credit hours**

### HIST 2020 - Survey of United States History II

**3 credit hours**

### HIST 2030 - Tennessee History

**3 credit hours**

### Subtotal: 30 Hours

### Junior

### ENGL 2020 - Themes in Literature and Culture

**3 credit hours**

### ENGL 2030 - The Experience of Literature

**3 credit hours**

### HUM 2610 - Foreign Literature in Translation

**3 credit hours**

### CSCI 1170 - Computer Science I

**4 credit hours**

### MATH 2530 - Applied Statistics II

**3 credit hours**Prerequisite: MATH 1530 or MATH 2050 or equivalent. Explores the application of the following statistical methods: analysis of variance, simple and multiple regression models, categorical data analysis, and nonparametric methods. Three hours lecture per week.

### MATH 3460 - Foundation of Higher Mathematics

**3 credit hours**

### STAT 3150 - Mathematical Statistics I

**3 credit hours**

### STAT 4190 - Mathematical Statistics II

**3 credit hours**

- STAT elective**
**3 credit hours** - Minor or elective courses
**6 credit hours** - Social/Behavioral Sciences
**3 credit hours**

### Subtotal: 31 Hours

### Senior

### CSCI 2170 - Computer Science II

**4 credit hours**

### MATH 4990 - Seminar in Mathematics

**3 credit hours**

- STAT electives**
**6 credit hours** - Minor or elective courses
**6 credit hours** - Humanities and/or Fine Arts
**3 credit hours** - Electives
**7 credit hours**

### Subtotal: 29 Hours

### NOTE:

**Courses, chosen with approval of statistics advisor, include computing, information systems, and other relevant courses.
**STAT 4200, STAT 4320, STAT 4360, STAT 4370, STAT 4380, STAT 4600 *

## Mathematics

**MATH 1000 - Essentials of Mathematics**

3 credit hours

The practices of learning mathematics. Required for students whose ACT Mathematics score is 15-16 or whose mathematics assessment indicates placement. Emphasis on problem solving, critical thinking, math study skills, and solving and graphing linear equations and inequalities. Course will meet for three hours in the classroom and will have a required two-hour lab component, which will include structured online activities. Does not fulfill General Education Mathematics requirement.

**MATH 1010 - Mathematics for General Studies**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT of at least 19 or DSPM 0850 or COMPASS placement. Course satisfies the General Education Mathematics requirement and is also part of the mathematics sequence for students preparing to become elementary school teachers. Topics include logic, sets, algebraic reasoning, probability, statistics, and consumer mathematics. TBR Common Course: MATH 1010

**MATH 1020 - Mathematics Colloquium**

1 credit hour

Introduces new mathematical sciences students to the mathematics major. Topics include degree requirements, faculty resources, technological resources, research opportunities, and career options. About half of the meetings will involve one hour in-class lectures and activities, and half will involve attending talks, some of which may occur outside the scheduled class meeting time.

**MATH 1410 - Concepts and Structure of Elementary School Mathematics**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT of at least 19 or DSPM 0850 or COMPASS placement. Algebra-based study of school mathematics in keeping with the recommendations of the National Council of Teachers of Mathematics. Tools for problem solving, set theory, functions, number theory, and examinations of number systems from counting numbers to irrational numbers. TBR Common Course: MATH 1410

**MATH 1420 - Informal Geometry**

3 credit hours

Prerequisite: A grade of C or better in MATH 1410. Geometry-based study of school mathematics in keeping with the recommendations of the National Council of Teachers of Mathematics. Studies of plane, solid, coordinate, and motion geometry as well as constructions, congruence, similarity, and concepts of measurement. A variety of instructional technology tools investigated. TBR Common Course: MATH 1420

**MATH 1530 - Applied Statistics**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT 19 or greater or equivalent. Descriptive statistics, probability, and statistical inference. The inference unit covers means, proportions, and variances for one and two samples, and topics from one-way ANOVA, regression and correlation analysis, chi-square analysis, and nonparametrics. TBR Common Course: MATH 1530

**MATH 1630 - College Mathematics for Managerial, Social, and Life Sc**

3 credit hours

Prerequisites: Two years of high school algebra and a Math Enhanced ACT greater than 25 or MATH 1710. Topics include solving systems of linear equations, Leontief models, linear programming, mathematics of finance, set theory, and probability theory. TBR Common Course: MATH 1630

**MATH 1710 - College Algebra**

3 credit hours

Prerequisite: DSPM 0850 or two years of high school algebra; a Math Enhanced ACT 19 or greater or COMPASS placement. Course satisfies the General Education Mathematics requirement. Topics include functions--linear, quadratic, exponential, and logarithmic; analysis of graphs; linear systems; inequalities; counting principles; and probability. Graphing calculator required. Course may be taken by correspondence. Not open to those who have had MATH 1730. TBR Common Course: MATH 1710

**MATH 1720 - Plane Trigonometry**

3 credit hours

Prerequisite: Strong background in algebra recommended. Trigonometric functions of the acute and general angle, circular functions, graphs of trigonometric and inverse functions, identities, solutions of right and general triangles, equations, complex numbers, and vectors. Not open to those who have had MATH 1730. Graphing calculator required.

**MATH 1730 - Pre-Calculus**

4 credit hours

Prerequisite: MATH 1710 or successful completion of high school precalculus course. An integrated and rigorous study of the algebra and trigonometry needed to successfully attempt calculus. Emphasis on functions, their analysis and their applications. Level of algebraic sophistication developed above that found in MATH 1710. Topics include exponentials and logarithms, analysis of graphs, and word problems. Graphing calculator required. TBR Common Course: MATH 1730

**MATH 1810 - Applied Calculus I**

3 credit hours

Prerequisite: MATH Enhanced ACT 19 or greater or MATH 1710. Introduces mathematical modeling applied to real-world problems. Sets, functions, inverse models, limits, continuity, first and second order model building, single variable differentiation, implicit differentiation, inverse problems (exponential and log models). First and second derivatives used to study the behavior of real-world applications.

**MATH 1910 - Calculus I**

4 credit hours

**MATH 1920 - Calculus II**

4 credit hours

**MATH 2010 - Elements of Linear Algebra**

3 credit hours

**MATH 2050 - Probability and Statistics**

3 credit hours

**MATH 2110 - Data Analysis**

1 credit hour

Prerequisite or corequisite: MATH 1530 or MATH 2050 or equivalent. Using computer software for graphing and analysis of scientific and statistical data.

**MATH 2530 - Applied Statistics II**

3 credit hours

Prerequisite: MATH 1530 or MATH 2050 or equivalent. Explores the application of the following statistical methods: analysis of variance, simple and multiple regression models, categorical data analysis, and nonparametric methods. Three hours lecture per week.

**MATH 2930 - Cooperative Education**

1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 2940 - Cooperative Education**

1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 3070 - College Geometry**

3 credit hours

Prerequisite: MATH 3460. Advanced treatment of standard topics in Euclidean geometry using informal and axiomatic approaches. Includes proofmaking techniques, traditional and transformational geometry, finite geometries, and a brief introduction to other geometries.

**MATH 3080 - Discrete Structures**

3 credit hours

(Same as CSCI 3080.) Prerequisites: CSCI 1170 and MATH 1910 or consent of instructor. Topics include formal logic, proof techniques, matrices, graphs, formal grammars, finite state machines, Turing machines, and binary coding schemes.

**MATH 3110 - Calculus III**

4 credit hours

**MATH 3120 - Differential Equations I**

3 credit hours

**MATH 3180 - Introduction to Numerical Analysis**

3 credit hours

(Same as CSCI 3180.) Prerequisites: MATH 1910 and CSCI 1170. Topics include series approximation, finite differences, interpolation, summation, numerical differentiation and integration, iteration, curve fitting, systems of equations and matrices, and error analysis.

**MATH 3260 - Differential Equations II**

3 credit hours

**MATH 3300 - Discrete Mathematics for Middle Grades Teachers**

3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Supports the development of prospective middle grades teachers' knowledge of discrete mathematics. Topics include set theoretic topics, logic, counting, probability, graph theoretic topics. Focuses on students' learning discrete mathematics topics as well as the teaching of related mathematical topics to middle grades students. Field experience in a nearby middle school incorporated.

**MATH 3310 - Functions: Connecting Algebra and Geometry for Middle G**

3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Supports the development of prospective middle grades teachers' knowledge of functions and connections between algebra and geometry. Focuses on students connecting mathematics topics as well as the teaching of mathematical topics to middle grades students to support learning about the connected nature of mathematics. Field experience in a nearby middle school incorporated.

**MATH 3320 - Teaching Mathematics in the Middle Grades**

3 credit hours

Prerequisite: Admission to the teacher education program. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in middle school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the middle school curriculum. Must be taken prior to student teaching.

**MATH 3330 - Teaching Mathematics in the Secondary Grades**

3 credit hours

Prerequisites: Admission to teacher education, completion of the mathematics core, and MATH 3320. Required of all Mathematics majors seeking a license to teach mathematics in grades 6-12 and all Interdisciplinary Studies (Grades 6-8) Math majors. In-depth study of mathematics learning and teaching strategies in secondary school mathematics. Selected topics provide a foundation for student investigations into the conceptual nature of mathematics and applications in the secondary school curriculum. Must be taken prior to student teaching.

**MATH 3460 - Foundation of Higher Mathematics**

3 credit hours

**MATH 3970 - Cooperative Education**

1 to 3 credit hours

Experiential learning that occurs in real employment situations. Must be taken in sequence or approved by the director of Cooperative Education. Graded on a pass/fail basis.

**MATH 3980 - Cooperative Education**

1 to 3 credit hours

**MATH 4010 - Selected Topics in Elementary Mathematics**

3 credit hours

Prerequisites: MATH 1410, MATH 1420, and MATH 1730. Required of students who are preparing to teach grades 5-8. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and implications of these topics to the middle school classroom.

**MATH 4200 - Introduction to Mathematics of Investment**

3 credit hours

(Same as ACSI 4200.) Prerequisite: MATH 1920 or consent of instructor. Calculus and probability/statistics used to model and analyze investments in bonds, treasury bills, stocks, and other derivatives. Topics include obtaining the price of a bond as a function of interest rate, developing formulas for duration and convexity to study the sensitivity of price to interest rate, and mathematical modeling of investor preference and attitude toward risk.

**MATH 4230 - Vector Analysis**

3 credit hours

**MATH 4250 - Theory of Calculus**

3 credit hours

**MATH 4270 - Introduction to Topology**

3 credit hours

**MATH 4280 - Undergraduate Research**

1 to 4 credit hours

Prerequisite: Permission of department. Independent investigation of a selected research problem under the guidance of a faculty member resulting in an oral and written report of results. May be repeated for a maximum of four credits.

**MATH 4310 - Numerical Analysis I**

3 credit hours

**MATH 4320 - Numerical Analysis II**

3 credit hours

Prerequisite: MATH 4310. A continuation of MATH 4310.

**MATH 4420 - Number Theory**

3 credit hours

Prerequisite: MATH 3460. Divisibility, congruences, quadratic residues, Diophantine equations, quadratic forms, and continued fractions.

**MATH 4470 - Introduction to Modern Algebra**

3 credit hours

Prerequisite: MATH 3460. A treatment of sets, relations, operations, and the construction of number systems in algebra.

**MATH 4510 - Abstract Algebra I**

3 credit hours

**MATH 4530 - Abstract Algebra II**

3 credit hours

Prerequisite: MATH 4510. The theory of rings, fields, integral domains, and vector spaces.

**MATH 4540 - Topics in Secondary School Mathematics**

3 credit hours

Prerequisites: Admission to teacher education; MATH 2010, MATH 2050, and MATH 3110. Required of all Mathematics majors seeking a license to teach mathematics in grades 7-12. Examines in greater depth topics to which the student has prior exposure; emphasizes the relevance and applications of these topics to the pre-college level classroom.

**MATH 4600 - Problems in Contemporary Mathematics**

1 to 6 credit hours

Pass/Fail grading in specified sections.

**MATH 4601 - Problems in Contemporary Mathematics Complex Variables**

3 credit hours

Prerequisite: MATH 3460. Fundamental principles and applications of complex variables.

**MATH 4602 - Problems in Mathematics**

1 to 6 credit hours

Prerequisite: Consent of instructor. Problem-oriented course providing opportunities for mathematical study in areas of need.

**MATH 4620 - History and Philosophy of Mathematics**

3 credit hours

Prerequisite: MATH 3460. Background in geometry and number theory helpful. The character of mathematical thought by way of mathematical problems that have occupied the outstanding mathematicians of Babylon, Egypt, Greece, China, the Renaissance, and modern times paralleled with a study of three schools of mathematical philosophy: intuitionism, logicism, and formalism.

**MATH 4700 - Combinatorics and Graph Theory**

3 credit hours

**MATH 4740 - Research Methods**

3 credit hours

(Same as ABAS/BIOL/GEOL/CHEM/PHYS 4740.) Prerequisite: YOED 3520. Provides secondary science and mathematics teacher candidates with the tools that scientists use to solve scientific problems. Students will use these tools in a laboratory setting, communicate findings, and understand how scientists develop new knowledge.

**MATH 4800 - Seminar in Mathematics with Technology**

3 credit hours

Prerequisite: 18 semester hours in mathematics including calculus or consent of instructor; junior or senior standing; MATH 3110. Examines and utilizes the technological tools available for doing mathematics. Emphasis on non-numerical tools such as theorem provers and algebraic manipulation systems.

**MATH 4990 - Seminar in Mathematics**

3 credit hours

### Contact and Student Information

**Donald Nelson**

donald.nelson@mtsu.edu

**Phone** | 615-898-2669**Fax** |** **615-898-5422

**Jennifer Williams**Jennifer.L.Williams@mtsu.edu

**615-898-2266 | DSB 120**

**Department of Mathematical Sciences**

Middle Tennessee State University

MTSU Box 34

1301 East Main Street

Murfreesboro, TN 37132

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