| LEC # | TOPICS | READINGS |
|---|---|---|
| 1 | Introduction Computer Architecture Number Representations Recursion | Sections 1.1-1.2 |
| 2 | Error Propagation Error Estimation Condition Numbers | Sections 1.2-1.3 |
| 3 | Linear Systems of Equations: Cramer's Rule Gaussian Elimination | Section 1.3 |
| 4 | Linear Systems: Gaussian Elimination Pivoting LU Factorization Error Analysis | Sections 3.1-3.2 |
| 5 | Linear Systems: Tri-Diagonal Systems Special Matrices | Sections 3.3-3.4 and 3.6 |
| 6 | Linear Systems: Iterative Methods Convergence of Iterative Schemes | Section 3.4 |
| 7 | Roots of Non-linear Equations: Bisection Newton-Ralphson Iteration | Section 3.7 |
| 8 | Interpolation of Functions by Polynomials Lagrange Interpolation Triangular Family | Sections 2.1-2.4 |
| 9 | Numerical Differentiation and Integration Error Estimates | Sections 4.1-4.4 |
| 10 | Ordinary Differential Equations Initial Value Problems: Euler and Runge-Kutta Methods | Sections 6.1-6.2 and 7.1-7.3 |
| 11 | Ordinary Differential Equations (cont.) Boundary Value Problems: Finite Difference Methods | Sections 9.1-9.2 and 9.4-9.5 |
| 12 | Minimization Problems Least Square Approximation Optimization |
Table of Contents
Study Materials
Readings
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Assigned readings are sections in the course textbook: Mathews, J. H., and K. D. Fink. Numerical Methods Using MATLAB®. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 1998. ISBN: 9780132700429.