水利工程
Hydraulic Engineering
學期
112-2
學分
3
學分
當期課號
516221
永久課號
ENCV10014
開課單位
土木工程學系
授課教師
石棟鑫
校區
光復
類別
必修
上課時間表
| 節 | 週四 |
|---|---|
3 10:10–11:00 | 水利工程 EB107 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
概述
(中) 本課程將介紹工程數學的基本觀念,並教授學生如何利用應用相關知識解決工程問題。 (Eng.) This course will introduce some basic concepts of engineering mathematics, and teach students how to apply relevant knowledge to solve engineering problems.
評分方式
Three tests are scheduled. 3 Tests (each 30%) 90% Quizzes/Homeworks 10%
課程大綱
- Chap-7, Linear Algebra: Matrices, Vectors, Determinants, Linear Systems,
- Chap-8, Linear Algebra: Matrix Eigenvalue Problems,
- Chap-9, Vector Differential Calculus, Grad, Div, Curl,
- Chap-10, Vector Integral Calculus, Integral Theorems,
- Chap-11,Fourier Analysis,
- Exams
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Chap-0, Introductions to the Course and Requirements,7.1 Matrices, Vectors: Addition and Scalar Multiplication ,7.2 Matrix Multiplication ,7.3 Linear Systems of Equations. Gauss Elimination, |
| 第 2 週 | 7.3 Linear Systems of Equations. Gauss Elimination, 7.4 Linear Independence. Rank of a Matrix. Vector Space, |
| 第 3 週 | 和平紀念日連假 |
| 第 4 週 | 7.5 Solutions of Linear Systems: Existence, Uniqueness,7.6 For Reference: Second- and Third-Order Determinants, |
| 第 5 週 | 7.7 Determinants. Cramer's Rule, 7.8 Inverse of a Matrix. Gauss–Jordan Elimination, |
| 第 6 週 | Exam-1,8.1 The Matrix Eigenvalue Problem. Determining Eigenvalues and Eigenvectors,8.2 Some Applications of Eigenvalue Problems, |
| 第 7 週 | 8.3 Symmetric, Skew-Symmetric, and Orthogonal Matrices, 8.4 Eigenbases. Diagonalization. Quadratic Forms, |
| 第 8 週 | 兒童節及民族掃墓節連假 |
| 第 9 週 | 9.1 Vectors in 2-Space and 3-Space, 9.2 Inner Product(Dot Product) ,9.3 Vector Product(Cross Product), |
| 第 10 週 | 9.4 Vector and Scalar Functions and Their Fields Vector Calculus: Derivatives ,9.5 Curves. Arc Length. Curvature. Torsion, 9.6 Calculus Review: Functions of Several Variables, |
| 第 11 週 | 9.7 Gradient of a Scalar Field. Directional Derivative, 9.8 Divergence of a Vector Field ,9.9 Curl of a Vector Field, |
| 第 12 週 | Exam-2,10.1 Line Integrals ,10.2 Path Independence of Line Integrals ,10.3 Calculus Review: Double Integrals, |
| 第 13 週 | 10.4 Green's Theorem in the Plane,10.5 Surfaces for Surface Integrals ,10.6 Surface Integrals, |
| 第 14 週 | 10.7 Triple Integrals. Divergence Theorem of Gauss,10.8 Further Applications of the Divergence Theorem ,10.9 Stokes's Theorem, |
| 第 15 週 | 11.1 Fourier Series ,11.2 Arbitrary Period. Even and Odd Functions. Half-Range Expansions, |
| 第 16 週 | 11.3 Forced Oscillations ,11.4 Approximation by Trigonometric Polynomials, |
| 第 17 週 | 11.7 Fourier Integral ,11.8 Fourier Cosine and Sine Transforms, 11.10 Tables of Transforms, |
| 第 18 週 | Exam-3 |
教科書
Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, Inc. 10th Edition, 2018.
Office Hours
- 地點
- Department of Civil Engineering, Engineering Building (II), Room 309.
- 時間
- Wednesday, 10:00~12:00
- 聯絡方式
- 03-5731917 dsshih@nctu.edu.tw