Math 2441 – Introduction
to Mathematical Computation
Instructor: Clarence Burg
Class Time: MWF
11:00-11:50, Th
Location: MCS 212,
MCS 214
Homework Due Dates
HW 1.5 Due Wednesday, Sept 2
HW 1.6 Due Friday, Sept 4
HW 2.2 Due Monday, Sept 14
HW 2.4 Due Friday, Sept 18
HW 2.6 Due Friday, Sept 25
Project Due Dates
Project #1 Annuities with growth and randomness
Project #1 HW Due Friday, Sept 4
Project #1 Report Due Friday, Sept 11
Project #2 Sequences and iterations
Project #2 HW Due Wednesday, Sept 23
Project #2 Report Due Monday, Sept 28
Project #3 Applications of iterations
Project #4 Linear least squares regression
Project #5 Approximating functions with basis functions
Test Schedule
Possible Final Class Projects
1. Develop an R program to determine the probability of achieving one’s retirement goals, given random variations in the rates of return.
2. Investigate more general two-step iterations, starting with the Fibonacci sequence.
3. Investigate modifications to Newton’s Method to improve its performance.
4. Write an R program to implement a variety of linear least squares regression models.
5. Develop a program to analyze decaying exponentials (with sines and cosines) using Fourier series.
6. Investigate numerically and mathematically Taylor series obtained by altering known Taylor series.
7. Investigate the radius of convergence of Taylor series for rational functions or other functions that have vertical asymptotes.
Final Project timeline