Numerical Methods in Engineering
Instructor: Ida Karimfazli
Lectures: Tues. Thurs. 8:45-10:00am in FG B060
Office hours: Mon 12:30-1:30pm & Thurs 10-11am
You can find a copy of the course outline here.
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| Topics | References | Practice problems from Numerical Analysis, Bhat & Kaushal |
Practice problems from Numerical Methods, Gilat 3rd ed |
| 10 | Introduction to PDEs | 10.1, 10.2, 10.3, 10.4 | |
| 9 | Numerical solutions of ODEs More on derivation of numerical methods Taylor series in 2D |
9.1, 9.3, 9.7, 9.11, 9.12 | 10.2.a & c, 10.3.a & c, 10.6, 10.7, 10.8, 10.9, 10.10, 10.12 |
| 8 | Nonlinear equations | 8.1, 8.2, 8.3 | 3.13.a, 3.14.a MATLAB fun: 3.40 |
| 7 | Eigenvalue problems Supplementary slides |
7.2, 7.6, 7.8, 7.10 | 5.1, 5.2, 5.4, 5.6, 5.7, 5.9 |
| 6 | Numerical differentiation | 6.1, 6.2, 6.3, 6.4, 6.5 | 8.1, 8.3, 8.5, 8.6, 8.7, 8.8, 8.10, 8.11, 8.12, 8.15 |
| 5 | Numerical integration | 5.2, 5.8, 5.13, 5.16 | 9.1, 9.2, 9.4, 9.5.a & b, 9.9.a & c, 9.11a & c, 9.14 |
| 4 | Curve fitting and interpolation | 4.1, 4.3, 4.10, 4.15 | 6.1, 6.4, 6.5, 6.7, 6.9, 6.13, 6.15.a |
| 3 | Solutions of linear systems Matrix operations, More on pivoting |
3.4, 3.5, 3.13, 3.17 | 4.2, 4.4, 4.10, 4.12, 4.15, 4.16 MATLAB fun: 4.25 |
| 2 | Root finding MATLAB codes for root finding |
2.5, 2.10, 2.12, 2.23 | 3.2, 3.3, 3.5, 3.6, 3.8 MATLAB fun: 3.17 |
| 1 | Error analysis & Taylor polynomials Visualization of Taylor series |
1.2, 1.3, 1.8, 1.10 | 1.19, 1.20,1.21 MATLAB fun: 1.41 |