1. |
Overview of numerical analysis and error |
Read through the textbook p.1-p.11 and handouts, and solve the exercises before class. Review after class. |
190minutes |
2. |
Evaluation of algorithms |
Read through the textbook p.11-p.14 and handouts, and solve the exercises before class. Review after class. |
190minutes |
3. |
Examples of algorithms (variance, function value) |
Read through the textbook p.14-p.20 and handouts, and solve the exercises before class. Review after class. |
190minutes |
4. |
Bisection method and Newton's method |
Read through the textbook p.26-p.32 and handouts, and solve the exercises before class. Review after class. |
190minutes |
5. |
Gaussian elimination and LU decomposition method |
Read through the textbook p.60-p.72 and handouts, and solve the exercises before class. Review after class. |
190minutes |
6. |
Newton–Cotes formulas and composite rules |
Read through the textbook p.87-p.94, p.112-p.122 and handouts, and solve the exercises before class. Review after class. |
190minutes |
7. |
Euler method, Heun's method and Runge–Kutta method |
Read through the textbook p.141-p.151 and handouts, and solve the exercises before class. Review after class. |
190minutes |
8. |
Midterm examination and its explanation |
Preparation of midterm examination. |
190minutes |
9. |
Implementation in C: Calculating variance |
Read through the handouts and solve the exercises before class. Review after class. |
190minutes |
10. |
Implementation in C: Bisection method and Newton's method |
Read through the handouts and solve the exercises before class. Review after class. |
190minutes |
11. |
Implementation in C: Gaussian elimination and LU decomposition method |
Read through the handouts and solve the exercises before class. Review after class. |
190minutes |
12. |
Implementation in C: Newton–Cotes formulas and composite rules |
Read through the handouts and solve the exercises before class. Review after class. |
190minutes |
13. |
Implementation in C: Euler method, Heun's method and Runge–Kutta method |
Read through the handouts and solve the exercises before class. Review after class. |
190minutes |
14. |
Final examination and its explanation |
Preparation of final examination. |
190minutes |
Total. |
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- |
2660minutes |