工程數學(二)
Engineering Mathematics(II)
| 節 | 週二 |
|---|---|
2 09:00–09:50 | 工程數學(二) EB227（光復） 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
(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.
教師未提供此項資料
無備註
教師未提供此項資料
Three tests are scheduled. 3 Tests (each 30%) 90% Quizzes/Homeworks 10%
Chap-7, Linear Algebra: Matrices, Vectors, Determinants, Linear Systems,
7.1 Matrices, Vectors: Addition and Scalar Multiplication 7.2 Matrix Multiplication 7.3 Linear Systems of Equations. Gauss Elimination 7.4 Linear Independence. Rank of a Matrix. Vector Space 7.5 Solutions of Linear Systems: Existence, Uniqueness 7.6 For Reference: Second- and Third-Order Determinants 7.7 Determinants. Cramer’s Rule 7.8 Inverse of a Matrix. Gauss–Jordan Elimination
- 講授：
- 9
Chap-8, Linear Algebra: Matrix Eigenvalue Problems,
8.1 The Matrix Eigenvalue Problem. Determining Eigenvalues and Eigenvectors 8.2 Some Applications of Eigenvalue Problems 8.3 Symmetric, Skew-Symmetric, and Orthogonal Matrices 8.4 Eigenbases. Diagonalization. Quadratic Forms
- 講授：
- 9
Chap-9, Vector Differential Calculus, Grad, Div, Curl,
9.1 Vectors in 2-Space and 3-Space 9.2 Inner Product(Dot Product) 9.3 Vector Product(Cross Product) 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 9.7 Gradient of a Scalar Field. Directional Derivative 9.8 Divergence of a Vector Field 9.9 Curl of a Vector Field
- 講授：
- 9
Chap-10, Vector Integral Calculus, Integral Theorems,
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 10.5 Surfaces for Surface Integrals 10.6 Surface Integrals 10.7 Triple Integrals. Divergence Theorem of Gauss 10.8 Further Applications of the Divergence Theorem 10.9 Stokes’s Theorem
- 講授：
- 9
Chap-11,Fourier Analysis,
11.1 Fourier Series 11.2 Arbitrary Period. Even and Odd Functions. Half-Range Expansions 11.3 Forced Oscillations 11.4 Approximation by Trigonometric Polynomials 11.7 Fourier Integral 11.8 Fourier Cosine and Sine Transforms 11.10 Tables of Transforms
- 講授：
- 9
Exams
a. Exam-1 b. Exam-2 c. Exam-3
- 講授：
- 9
| 週次 | 主題 |
|---|---|
| 第 1 週 | Chap-0, Introductions to the Course and Requirements,7.1 Matrices, Vectors: Addition and Scalar Multiplication& #x0B
 ,7.2 Matrix Multiplication& #x0B
 ,7.3 Linear Systems of Equations. Gauss Elimination, 2025-02-18(二) |
| 第 2 週 | 7.3 Linear Systems of Equations. Gauss Elimination,& #x0B
 7.4 Linear Independence. Rank of a Matrix. Vector Space, 2025-02-25(二) |
| 第 3 週 | 和平紀念日連假 2025-03-04(二) |
| 第 4 週 | 7.5 Solutions of Linear Systems: Existence, Uniqueness,7.6 For Reference: Second- and Third-Order Determinants, 2025-03-11(二) |
| 第 5 週 | 7.7 Determinants. Cramer's Rule,& #x0B
 7.8 Inverse of a Matrix. Gauss–Jordan Elimination, 2025-03-18(二) |
| 第 6 週 | Exam-1,8.1 The Matrix Eigenvalue Problem. Determining Eigenvalues and Eigenvectors,8.2 Some Applications of Eigenvalue Problems, 2025-03-25(二) |
| 第 7 週 | 8.3 Symmetric, Skew-Symmetric, and Orthogonal Matrices,& #x0B
 8.4 Eigenbases. Diagonalization. Quadratic Forms, 2025-04-01(二) |
| 第 8 週 | 兒童節及民族掃墓節連假 2025-04-08(二) |
| 第 9 週 | 9.1 Vectors in 2-Space and 3-Space,& #x0B
 9.2 Inner Product(Dot Product)& #x0B
 ,9.3 Vector Product(Cross Product), 2025-04-15(二) |
| 第 10 週 | 9.4 Vector and Scalar Functions and Their Fields Vector Calculus: Derivatives& #x0B
 ,9.5 Curves. Arc Length. Curvature. Torsion,& #x0B
 9.6 Calculus Review: Functions of Several Variables, 2025-04-22(二) |
| 第 11 週 | 9.7 Gradient of a Scalar Field. Directional Derivative,& #x0B
 9.8 Divergence of a Vector Field& #x0B
 ,9.9 Curl of a Vector Field, 2025-04-29(二) |
| 第 12 週 | Exam-2,10.1 Line Integrals& #x0B
 ,10.2 Path Independence of Line Integrals& #x0B
 ,10.3 Calculus Review: Double Integrals, 2025-05-06(二) |
| 第 13 週 | 10.4 Green's Theorem in the Plane,10.5 Surfaces for Surface Integrals& #x0B
 ,10.6 Surface Integrals, 2025-05-13(二) |
| 第 14 週 | 10.7 Triple Integrals. Divergence Theorem of Gauss,10.8 Further Applications of the Divergence Theorem& #x0B
 ,10.9 Stokes's Theorem, 2025-05-20(二) |
| 第 15 週 | 11.1 Fourier Series& #x0B
 ,11.2 Arbitrary Period. Even and Odd Functions. Half-Range Expansions, 2025-05-27(二) |
| 第 16 週 | 11.3 Forced Oscillations& #x0B
 ,11.4 Approximation by Trigonometric Polynomials, 2025-06-03(二) |
| 第 17 週 | 11.7 Fourier Integral& #x0B
 ,11.8 Fourier Cosine and Sine Transforms,& #x0B
 11.10 Tables of Transforms, 2025-06-10(二) |
| 第 18 週 | Exam-3 2025-06-17(二) |
Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, Inc. 10th Edition, 2018.
- 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