Calculus II Projects

Choose one of the following projects: Math/Physics/Engineering/Music/Art (20 points):

1. Taylor series computing using parallel ( see D2L Python code: Taylor_Series_Parallel.ipynb )

Hint: see https://ipyparallel.readthedocs.io/en/latest/index.html

2. Using Numerical Schemes to approximate definite integrals (Midpoint Rule, Trapezoid Rule, Simpson's Rule) and calculate the corresponding errors. Trapezoidal Rule: Matlab and Python, C, Maple, other language.

George Gannon's GitHub code

3. Approximating Pi using series ( faster converge get more points )

4. A physics application ( Calculus-based Physics project )

5. An engineering application ( MakerSpace: Robotic Arms at MTSU Library and more )

6. 3D printing of a three dimensional object ( sphere, batman, and other shapes, if you can use calculus to calculate its volume/surface area/arc length, you get more points )

Juan's 3D Printing of an art work - Vase and calculate the volume and surface area using integrals;
Cameron's 3D printing snowman with 2 colors, designed by TickerCAD
3D Printing Vase - Juan Collect Data from 3D Printing Calculate Volume using Calculus Calculate Surface Area using Calculus 3D printing snowman with 2 colors by Cameron

7. Maple/Mathematica computation of integrals showing every detail/step ( Sample codes on D2L: mathematica_practice.pdf, practice.nb )

8.