工程數學(二)

臺北科技大學 114-2 學期課程，課號 355011。

課程大綱

1. 矩陣 2. 線性聯立微分方程 3. 向量分析 4. 富利葉級數及富利葉積分 5. 偏微分方程及邊界值問題

課程進度

1 Introduction 2 6.1 Basic Concepts: Matrix Addition, Scalar Multiplication 6.2 Matrix Multiplication 3 6.3 Linear System of Eqns. Gauss Elimination 6.4 Rank of Matrix. Linear Independence. 4 6.5 Solutions of Linear Systems: Existence, Uniqueness 6.6 Determinants. Cramer’s Rule 5 6.7 Inverse of a Matrix. Gauss-Jordan Elimination 6 7.1 Eigenvalues, Eigenvectors 7.3 Symmetric, Skew-Symmetric, and Orthogonal Matrices 7 7.4 Complex Matrices: Hermitian, Skew-Hermitian, Unitary 7.5 Similarity of Matrices. Diagonalization 8 Vector Analysis 9 Midterm Exam 10 10.1 Periodic Functions. Trigonometric Series 10.2 Fourier Series 11 10.3 Functions of Any Period p = 2L 10.4 Even and Odd Functions. Half-Range Expansions 12 10.5 Complex Fourier Series 10.6 Forced Oscillations 13 10.7 Approximation by Trigonometric Polynomials 10.8 Fourier Integrals 14 10.9 Fourier Cosine and Sine Transforms 10.10 Fourier Transform 15 PDE 16 PDE 17 PDE 18 Final Exam

評量方式

HW/Quizzes, Exams: 100% (zero, if absent 缺考者以零分計算)

教材

【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 1. 主要以自編教材為主 2. 參考書目： 1. Zill, D.G. & Wright, W.S. (2014). Advanced Engineering Mathematics. 5th Ed. The Jones and Bartlett Publishers, USA. 2. Erwin Kreyszig (2011). Advanced Engineering Mathematics. 10th ed. John Wiley & Sons, Inc. 3. Peter O’Neil (2011). Advanced Engineering Mathematics. 7th ed. Cengage.