| LEC # | TOPICS | KEY DATES |
|---|---|---|
1 |
Introduction Computer Architecture Number Representations Recursion |
Problem set 1 out Problem set 0 (In-class assignment) |
2 |
Error Propagation Error Estimation Condition Numbers |
MATLAB® handout |
3 |
Linear Systems of Equations: Cramer's Rule Gaussian Elimination |
Problem set 1 due |
4 |
Linear Systems: Gaussian Elimination Pivoting LU Factorization Error Analysis |
Problem set 2 out |
5 |
Linear Systems: Tri-diagonal Systems Special Matrices |
|
6 |
Linear Systems: Iterative Methods Convergence of Iterative Schemes |
|
7 |
Roots of Non-linear Equations: Bisection Newton-Ralphson Iteration |
Problem set 2 due |
8 |
Interpolation of Functions by Polynomials Lagrange Interpolation Triangular Family |
Problem set 3 out |
9 |
Numerical Differentiation and Integration Error Estimates |
|
10 |
Ordinary Differential Equations Initial Value Problems: Euler and Runge-Kutta Methods |
Problem set 3 due Problem set 4 out Take-home exam out; due 8 days later |
11 |
Ordinary Differential Equations (cont.) Boundary Value Problems: Finite Difference Methods |
|
12 |
Minimization Problems Least Square Approximation Optimization |
Problem set 4 due |