| 1/18 | Course overview
Course survey due |
| 1/23 | Read Sections 1.1-1.3
Review of calculus and finite arithmetic |
| 1/25 | Skim Chapter 1 of NCM
Introduction to MATLAB |
| 1/30 | Read Section 2.1
Bisection method |
| 2/1 | Read Section 2.3
Newton's method Quiz 1 |
| 2/6 | Read Sections 4.1-4.7 of NCM
MATLAB's fzero |
| 2/8 | Read Section 2.4
Error analysis for iterative methods |
| 2/13 | Read Section 3.1
Interpolation and the Lagrange polynomial Problem Set 1 due |
| 2/15 | Read Section 3.3
Divided differences |
| 2/20 | Read Section 3.5
Cubic spline interpolation Quiz 2 |
| 2/22 | Read Sections 3.1-3.5 of NCM
MATLAB interpolation |
| 2/27 | Midterm review
Problem Set 2 due |
| 3/1 | MIDTERM |
| 3/6 | SPRING BREAK |
| 3/8 | SPRING BREAK |
| 3/13 | Read Section 4.1
Numerical differentiation |
| 3/15 | Read Section 4.2
Richardson's extrapolation |
| 3/20 | Read Section 4.3
Elements of numerical integration Quiz 3 |
| 3/22 | Read Section 4.4
Composite numerical integration |
| 3/27 | Read Section 4.5-4.6
Romberg integration and adaptive quadrature methods Project Proposal due |
| 3/29 | Read Sections 6.1-6.3 of NCM
MATLAB integration Problem Set 3 due |
| 4/3 | Read Section 5.1
The elementary theory of initial-value problems |
| 4/5 | Read Section 5.2
Euler's method |
| 4/10 | Read Section 5.4
Runge-Kutta methods Quiz 4 |
| 4/12 | Read Section 5.5
Error control and the Runge-Kutta-Fehlberg method |
| 4/17 | Read Section 5.9 and Sections 7.1-7.2 of NCM
Higher-order and systems of differential equations |
| 4/19 | Read Sections 7.4-7.6 of NCM
MATLAB's ODE solvers Problem Set 4 due |
| 4/24 | Alex/Briana, Shiny, Ben/Steven, Andrea, Kedi |
| 4/26 | Jack, Liz/Dylan, Lauren, Koby, David, Bill |
| 5/1 | Final review |
| 5/9 | FINAL EXAM (9am) |