工程數學(二)
Engineering Mathematics(II)
學期
107-2
學分
3
學分
當期課號
1282
永久課號
DCV2104
開課單位
土木工程學系
授課教師
林子剛
校區
光復
類別
必修
上課時間表
| 節 | 週一 | 週三 |
|---|---|---|
4 11:10–12:00 | 工程數學(二) EB118 | |
7 15:30–16:20 | 工程數學(二) EB118 2 節連堂 | |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
概述
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 series, Integrals, and Transforms .
教學方式
Follow textbook closely. Teaching assistant: 梁睿昌 結構大樓503 Ext.55026
評分方式
Quiz 2~3times (25%) Mid-term Exam I (25%) Mid-term Exam II (25%) Mid-term Exam III (25%) Total 100%
週次計畫
| 週次 | 主題 |
|---|---|
| 第 1 週 | Chapter 7 7.1 Matrices, Vectors: Addition and Scalar Multiplication 7.2 Matrix Multiplication 7.3 Linear Systems of Equations. Gauss Elimination |
| 第 2 週 | Chapter 7 7.3 Linear Systems of Equations. Gauss Elimination 7.4 Linear Independence.Rank of a Matrix. Vector Space |
| 第 3 週 | Chapter 7 7.5 Solutions of Linear Systems:Existence, Uniqueness 7.6 For Reference: Second- and Third-Order Determinants |
| 第 4 週 | Chapter 7 7.7 Determinants. Cramer’s Rule 7.8 Inverse of a Matrix. Gauss–Jordan Elimination |
| 第 5 週 | Chapter 8 8.1 The Matrix Eigenvalue Problem.Determining Eigenvalues and Eigenvectors 8.2 Some Applications of Eigenvalue Problems |
| 第 6 週 | Mid-term Exam I |
| 第 7 週 | Chapter 8 8.3 Symmetric, Skew-Symmetric,and Orthogonal Matrices 8.4 Eigenbases. Diagonalization.Quadratic Forms |
| 第 8 週 | Chapter 9 9.1 Vectors in 2-Space and 3-Space 9.2 Inner Product(Dot Product) 9.3 Vector Product(Cross Product) |
| 第 9 週 | Chapter 9 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 10 週 | Chapter 9 9.7 Gradient of a Scalar Field. Directional Derivative 9.8 Divergence of a Vector Field 9.9 Curl of a Vector Field |
| 第 11 週 | Chapter 10 10.1 Line Integrals 10.2 Path Independence of Line Integrals 10.3 Calculus Review:Double Integrals. 10.4 Green’s Theorem in the Plane |
| 第 12 週 | Mid-term Exam II |
| 第 13 週 | Chapter 10 10.5 Surfaces for Surface Integrals 10.6 Surface Integrals |
| 第 14 週 | Chapter 10 10.7 Triple Integrals.Divergence Theorem of Gauss 10.8 Further Applications of the Divergence Theorem 10.9 Stokes’s Theorem |
| 第 15 週 | Chapter 11 11.1 Fourier Series 11.2 Arbitrary Period.Even and Odd Functions.Half-Range Expansions |
| 第 16 週 | Chapter 11 11.3 Forced Oscillations 11.4 Approximation by Trigonometric Polynomials |
| 第 17 週 | Chapter 11 11.7 Fourier Integral 11.8 Fourier Cosine and Sine Transforms 11.10 Tables of Transforms |
| 第 18 週 | Mid-term Exam III |
教科書
Text Book: Advanced Engineering Mathematics, by Kreyszig, H and E Kreyszig, 10th edition, John Wiley & Sons, Inc., 2011. References: 1. Advanced Engineering Mathematics, by Greenberg, M. D., 2nd, edition, Prentice-Hall International, Inc., 1998.
Office Hours
- 地點
- EB326
- 時間
- Tuesday 13:30~17:30
- 聯絡方式
- tklin@nctu.edu.tw Ext.54919