Calendar Table

LEC #	TOPICS	KEY DATES
Ordinary Differential Equations
1	Numerical Integration of Ordinary Differential Equations: An Introduction
2	Convergence and Accuracy
3	Convergence of Multi-Step Methods
4	Convergence of Multi-Step Methods (cont.)	Homework 1 due
5	Convergence of Multi-Step Methods (cont.)	Homework 2 due
6	Systems of ODE's and Eigenvalue Stability	Homework 3 due
7	Stiffness and Implicit Methods
8	Stiffness and Implicit Methods (cont.)	Homework 4 due
9	Runge-Kutta Methods
Finite Volume/Difference Methods
10	Finite Volume Method	Homework 5 due
11	Finite Volume Method (cont.)	Homework 6 due
12	Finite Volume Method (cont.)	Homework 7 due
13	Finite Difference Method	Homework 8 due
14	Finite Difference Method (cont.)
15	Finite Difference Method (cont.)
16	Matrix Stability Analysis	Project 1 due
17	Matrix Stability Analysis (cont.)
18	Fourier Stability Analysis
19	Fourier Stability Analysis (cont.)
20	Fourier Stability Analysis (cont.)
	Midterm Oral Exam
Finite Element Methods
21	Method of Weighted Residuals
22	Method of Weighted Residuals (cont.)	Homework 9 due
23	Finite Element Method for 1-D Diffusion
24	Finite Element Method for 1-D Diffusion (cont.)	Homework 10 due
25	Finite Element Method for 1-D Diffusion (cont.)	Homework 11 due
26	Finite Element Method for 2-D Diffusion
27	Finite Element Method for 2-D Diffusion (cont.)
28	Finite Element Method for 2-D Diffusion (cont.)
29	Higher-order Finite Element Method
30	Higher-order Finite Element Method (cont.)	Project 2 due
Probabilistic Simulation Techniques
31	Introduction to Monte Carlo Method
32	Introduction to Monte Carlo Method (cont.)	Homework 12 due
33	Error Estimates for Monte Carlo Method
34	Error Estimates for Monte Carlo Method (cont.)	Homework 13 due
35	Error Estimates for Monte Carlo Method (cont.)
36	Latin Hypercube Sampling
37	Response Surface Methods
38	Bootstrapping	Project 3 due
39	Wrap Up
	Final Oral Exam