數值分析
Numerical Analysis
| 節 | 週二 | 週五 |
|---|---|---|
2 09:00–09:50 | 數值分析 ED201 | |
5 13:20–14:10 | 數值分析 ED201 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
Introduction to numerical methods and computational mathematics in science and engineering. Students are also expected to develop programming and graphics proficiency with MATLAB. Topics include: Taylor-series approximations, numerical errors, roots of equations, linear equations, curve fitting, numerical differentiation and integration, and solution of ordinary and partial differential equations. This course approaches numerical methods from a problem-solving perspective with emphasis on the E.E. applications. 電子工程學系希望培育學生具備十項核心能力及三項基本素養(請參官網http://www.ee.nctu.edu.tw首頁之【學術研究】→【IEET】內容。 ※本課程將培育學生具備下述幾項核心能力: 1.1 數學、物理知識為主,化學、生物知識為輔 1.2 電子、資訊領域相關專業知識與能力 1.3 電子、資訊領域之實作技術,並具有發掘、分析、解決問題及創新的能力 ※本課程將培育學生具備下述幾項基本素養: 1 養成學生具備電子工程基礎與專業知識,並配合實作,達到理論與實務相結合之目的。使學生具備推論、分析、創新及整合能力。 2 教育學生具備寬廣之知識、溝通技巧與團隊精神,以迎接不同生涯發展之挑戰。教育學生瞭解專業倫理及社會責任。
calculus, linear algebra (DEE1023), differential equation (DEE1033), computer programming (DEE1020)
NCTU E3
4 problem sets counting towards 20% of the final grade. 4 exams, mid-term (wk 9, 30%), final (wk 18, 30%), and two computer lab tests (wk 12, wk 16, 20%), counting toward 80% of the final grade. Class participation is an important consideration in grade curving.
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction to numerical methods (Chap. 1) Approximations & errors (Chap. 3) |
| 第 2 週 | Approximations & errors - Taylor series (Chap. 4) Roots of equation- closed methods (Chap. 5) HW01 |
| 第 3 週 | Roots of equation- open methods (Chap. 6) Roots of equation- polynomials (Chap 7) |
| 第 4 週 | Linear equations - Gauss Elimination (Chap 9) HW02 |
| 第 5 週 | Linear equations - Gauss Elimination, FLOPs (Chap 9) Linear equations - Pivoting, Scaling, LU Decomposition (Chap 10) |
| 第 6 週 | Linear equations - interactive methods, norm, applications (Chap 11-12) HW03 |
| 第 7 週 | ODE - Euler & Runge-Kutta methods, initial value problem (Chap 25) |
| 第 8 週 | ODE – stiffness, boundary value problem and application (Chap 26-28) HW04 |
| 第 9 週 | Review and Midterm |
| 第 10 週 | Curve fitting - least-squares regression (Chap 17) HW05 |
| 第 11 週 | Curve fitting - interpolation (Chap 18) Fourier approximation and application (Chap 19) |
| 第 12 週 | PDE - elliptic equation (Chap 29) HW06 |
| 第 13 週 | PDE - parabolic equation (Chap 30) |
| 第 14 週 | PDE - finite element method and application (Chap 31-32) HW07 |
| 第 15 週 | Numerical integration - (Chap 21-22) |
| 第 16 週 | Numerical integration - differentiation (Chap 23) HW08 |
| 第 17 週 | Review |
| 第 18 週 | Final exam week |
Numerical Methods for Engineers 6th edition by Chapra and Canale, McGraw Hill, ISBN 978-007-126759-5
- 地點
- ED409
- 時間
- TBD
- 聯絡方式
- ext 54261 thhou@mail.nctu.edu.tw