MOBI 7200 Modeling and Simulation 3 SCH Introduction to the modeling of biomolecular structure and dynamics. Covers three broad topics: (a) biomolecular structure; (b) molecular force field origin, composition, and evaluation techniques; and (c) simulation techniques-computational sampling by geometric optimization, Monte Carlo methods, and molecular dynamics.Prerequisites: Differential Equations and Linear Algebra.
Course includes various aspects of molecular modeling (and/or computational) molecular biochemistry techniques, protein structure, quantum and/or molecular mechanics models, techniques for energy minimization, Monte Carlo sampling, free energy simulations, drug design, active sites, transcription regulation, signal transduction, immune regulation, membrane, fibrous proteins, and virus structures.
College Algebra, Trigonometry, Mathematics of Finance, Business Calculus, Linear Programming, Pre-Calculus, Mathematics for Teachers, Applied Calculus, Calculus I – IV, Honors Advanced Mathematics Sequence for Electrical and Civil Engineers (Multi-variable Calculus; Linear Algebra; Fourier Analysis), Probability and Statistics, Discrete Mathematics, Linear Algebra (undergrad. and grad.), Complex Variables, Abstract Algebra (undergrad. and grad.), Foundations of Mathematics (undergrad. and grad.), History and Philosophy of Mathematics, Number Theory, Graph Theory, Geometry, Differential Geometry (undergrad. and grad.), Differential Equations (undergrad. and grad.), Advanced Calculus, Measure Theory (undergrad. and grad.), Analysis, Functional Analysis and Operator Theory (undergrad. and grad.).
Newtonian dynamics, gravitation, fluid mechanics, wave mechanics, electromagnetic theory, thermodynamics, Lagrangians and variational calculus, relativity and quantum theory.