Type of Credit: Partially Required
Credit(s)
Number of Students
「工程數學(一)」旨在介紹物理中常用的數學觀念。本課程為「電子物理學士學位學程」必修課程之一,開放給全校非學程同學選修,也開放給校外人士隨班附讀。
能力項目說明
教學週次Course Week | 彈性補充教學週次Flexible Supplemental Instruction Week | 彈性補充教學類別Flexible Supplemental Instruction Type |
---|---|---|
週次 |
課程主題 |
課程內容與指定閱讀 |
教學活動與作業 |
1 |
Linear Algebra |
Introduction, Determinants |
講述/習題 |
2 |
和平紀念日放假 (02/28) |
|
|
3 |
Linear Algebra |
Determinants |
講述/習題 |
4 |
Linear Algebra |
Matrices |
講述/習題 |
5 |
Vector Analysis |
Review of Basics Properties, Vectors in 3‐D Spaces, Coordinate Transformations, Rotations in R3 |
講述/習題 |
6 |
Vector Analysis |
Differential Vector Operators, Vector Integrations, Integral Theorems |
講述/習題 |
7 |
兒童節、民族掃墓節放假 (04/04) |
|
|
8 |
Vector Analysis |
Potential Theory, Curvilinear Coordinates |
講述/習題 |
9 |
Midterm (04/18) |
|
|
10 |
Eigenvalue Problems |
Eigenvalue Problems |
講述/習題 |
11 |
Eigenvalue Problems |
Eigenvalue Problems |
講述/習題 |
12 |
Ordinary Differential Equations |
First-Order Equations, ODEs with Constant Coefficients |
講述/習題 |
13 |
Ordinary Differential Equations |
Second‐Order Linear ODEs, Series Solutions |
講述/習題 |
14 |
Ordinary Differential Equations |
Other Solutions, Inhomogeneous Linear ODEs, Nonlinear Differential Equations |
講述/習題 |
15 |
端午節補假 (05/30) |
|
|
16 |
Final (06/06) |
|
|
17 |
Capstone Self-Learning |
|
|
18 |
Capstone Self-Learning |
|
|
作業 30%
期中測驗 30%
期末測驗 30%
出席率、討論、課堂測驗 10%
G. B. Arfken, H. J. Weber, F. E. Harris, Mathematical Methods for Physicists
K. F. Riley, M. P. Hobson and S. J. Bence, Mathematical Methods for Physics and Engineering
M. L. Boas, Mathematical Methods in the Physical Sciences
E. Kreyszig, Advanced Engineering Mathematics
Moodle