Week |
Period |
Topics |
Assignment Due |
Lab |
1
9/6-9/10 |
Lecture 1 |
No class - Labor Day |
|
Quiz 1: Course Policies |
Lecture 2 |
No class - President's picnic |
Read text, pages 1-33. |
Lecture 3 |
Error analysis, Parallel processing |
|
2
9/13-9/17 |
Lecture 1 |
Nonlinear equations |
Read text, pages 38-70. |
Lab 1: Floating point errors |
Lecture 2 |
Solution of equations |
Read text, pages 76-93. |
Lecture 3 |
Solving a system of equations |
Read text, pages 109-147. |
3
9/20-9/24 |
Lecture 1 |
Solving a system of equations cont... |
Read text, pages 147-164. |
Lab 2: Matrix Class |
Lecture 2 |
Solving a system of equations cont... |
Read text, pages 164-184. |
Lecture 3 |
Parallel processing |
Read text, pages 187-194. |
4
9/27-10/1 |
Lecture 1 |
Exam 1 |
|
Lecture 2 |
Interpolation |
Read text, pages 220-223. |
Lecture 3 |
LaGrange polynomial |
Read text, pages 223-238. |
5
10/4-10/8 |
Lecture 1 |
Splines |
Read text, pages 238-258. |
Lab 3: Least Squares Interpolation |
Lecture 2 |
Least-squares curve fitting |
Read text, pages 264-280. |
Lecture 3 |
Numerical differentiation |
Read text, pages 354-369. |
6
10/11-10/15 |
Lecture 1 |
Numerical integration |
Read text, pages 377-389. |
Lab 4: Parallel processing |
Lecture 2 |
Monte Carlo |
|
Lecture 3 |
Ordinary differential equation (ODE) |
Read text, pages 448-452. |
7
10/18-10/22 |
Lecture 1 |
ODE: Taylor, Euler, Runge-Kutta |
Read text, pages 452-465. |
Lab 5: Monte Carlo Integration |
Lecture 2 |
ODE: Multistep |
Read text, pages 465-468. |
Lecture 3 |
ODE: Milne, Adams-Moulton |
Read text, pages 468-477. |
8
10/25-10/29 |
Lecture 1 |
Review/Catch-up |
|
Final Project |
Lecture 2 |
Exam 2 |
|
Lecture 3 |
Mathematical modeling |
Read text, pages 525-530. |
9
11/1-11/5 |
Lecture 1 |
ODE: Boundary-Value problem |
Read text, pages 530-535. |
Lecture 2 |
Partial differential equations (PDE) |
Read text, pages 600-606. |
Lecture 3 |
PDE cont... |
Read text, pages 606-634. |
10
11/8-11/12 |
Lecture 1 |
Final project issues |
|
Lecture 2 |
Monte Carlo and simulation |
|
Lecture 3 |
Class Cancelled |
|
11
11/18 |
2:00-4:00pm |
Final Exam |
|
|