工程數學（二）

Engineering Mathematics (II)

學期

114-2

學分

3 學分

當期課號

516122

永久課號

ENME10006

開課單位

機械工程學系

授課教師

張存均

校區

光復

類別

必修

上課時間表

* 根據陽明交大上課時間表所列

概述

Teach students mathematical skills for solving engineering problems.

先修科目

Calculus

教學方式

TA : To be determined

評分方式

Three tests 75%（each 25%）, Class participation (in-class exercises, quizzes, and homework): 25%

週次計畫

週次	主題
第 1 週	Linear algebra: Matrices, Vectors, Determinants, Matrix multiplication, Linear system, Coefficient matrix, Augmented matrix.
第 2 週	Linear independence, Rank of a matrix, Vector space, Solutions of linear systems.
第 3 週	Determinants, Cramer's rule, Matrix inverse, Eigenvalue problems: eigenvalues and eigenvectors.
第 4 週	Orthogonal matrices, Matrix diagonalization. 3-18(三) : Quiz 1
第 5 週	3-23(一) : 1st midterm. 1st midterm solution correction.
第 6 週	1st midterm solution correction. Vector function and fields, Derivatives, Curves, Arc length.
第 7 週	Gradient of a scalar field, Directional derivative, Divergence of a vector field, Curl of a vector field.
第 8 週	Vector integrals, Path independence of line integrals. 4-15(三) : Quiz 2
第 9 週	Triple integrals; divergence theorem; Stokes’ theorem; second midterm review
第 10 週	4-27(一) : 2nd midterm. 2nd midterm solution correction.
第 11 週	2nd midterm solution correction. Fourier series, Fourier cosine and sine series, Fourier series of any period, Fourier integral.
第 12 週	Fourier cosine and sine integrals, Fourier transform, convolution
第 13 週	Partial differential equations, Boundary value problems. 5-20(三) : Quiz 3
第 14 週	Wave equations, Separation of variables.
第 15 週	Heat and Laplace equations. D'Alembert's solution of the wave equation, Final exam review.
第 16 週	6-08(一) : Final Exam.

教科書

Erwin Kreyszig, “Advanced Engineering Mathematics”, 10th Edition

Office Hours