| LEC # | TOPICS | LECTURE NOTES | SUPPORTING FILES |
|---|---|---|---|
| 1 | Introduction Computer Architecture Number Representations Recursion | (PDF - 1.7 MB) | horner.m (M) radd.m (M) recur.m (M) sqr.m (M) |
| 2 | Error Propagation Error Estimation Condition Numbers | (PDF - 2.6 MB) | euler.m (M) radd.m (M) sbfj.m (M) sbfj_3.m (M) sbfj_f.m (M) sbfj_f_3.m (M) sbfy.m (M) tsbfj.m (M) |
| 3 | Linear Systems of Equations: Cramer's Rule Gaussian Elimination | (PDF - 1.8 MB) | tbt2.m (M) tbt3.m (M) tbt4.m (M) tbt5.m (M) tbt.m (M) |
| 4 | Linear Systems: Gaussian Elimination Pivoting LU Factorization Error Analysis | (PDF - 1.1 MB) | tbt6.m (M) tbt7.m (M) |
| 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 | (PDF - 1.5 MB) | bisect.m (M) cube.m (M) div.m (M) heron.m (M) sqr.m (M) |
| 8 | Interpolation of Functions by Polynomials Lagrange Interpolation Triangular Family | (PDF - 2.6 MB) | langrange.m (M) newton.m (M) newton_coef.m (M) newton_test.m (M) |
| 9 | Numerical Differentiation and Integration Error Estimates | (PDF) | |
| 10 | Ordinary Differential Equations Initial Value Problems: Euler and Runge-Kutta Methods | (PDF - 3.0 MB) | euler.m (M) rk.m (M) rkg.m (M) |
| 11 | Ordinary Differential Equations (cont.) Boundary Value Problems: Finite Difference Methods | (PDF - 1.7 MB) | |
| 12 | Minimization Problems Least Square Approximation Optimization | (PDF) | cost.m (M) curve.m (M) lstsq.m (M) salesman.m (M) |