A list of lecture topics and supporting files for the lecture notes are included in the table below.
LEC # | TOPICS | LECTURE NOTES | SUPPORTING FILES |
---|---|---|---|
1 |
Introduction Computer Architecture Number Representations Recursion | ||
2 |
Error Propagation Error Estimation Condition Numbers | euler.m (M) | |
3 |
Linear Systems of Equations: Cramer's Rule Gaussian Elimination | ||
4 |
Linear Systems: Gaussian Elimination Pivoting LU Factorization Error Analysis |
| |
5 |
Linear Systems: Tri-diagonal Systems Special Matrices | (PDF) | |
6 |
Linear Systems: Iterative Methods Convergence of Iterative Schemes | (PDF) | vib_string.m (M) |
7 |
Roots of Non-linear Equations: Bisection Newton-Ralphson Iteration | ||
8 |
Interpolation of Functions by Polynomials Lagrange Interpolation Triangular Family | langrange.m (M) | |
9 |
Numerical Differentiation and Integration Error Estimates | (PDF) | |
10 |
Ordinary Differential Equations Initial Value Problems: Euler and Runge-Kutta Methods | ||
11 |
Ordinary Differential Equations (cont.) Boundary Value Problems: Finite Difference Methods | ||
12 |
Minimization Problems Least Square Approximation Optimization | (PDF) |