| 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 |