課程名稱 |
應用數學一 APPLIED MATHEMATICS (I) |
開課學期 |
98-2 |
授課對象 |
理學院 物理學系 |
授課教師 |
趙挺偉 |
課號 |
Phys2001 |
課程識別碼 |
202 20310 |
班次 |
|
學分 |
3 |
全/半年 |
半年 |
必/選修 |
必帶 |
上課時間 |
星期二7,8,9(14:20~17:20) |
上課地點 |
新物111 |
備註 |
限本系所學生(含輔系、雙修生) 總人數上限:80人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/982AMPI |
課程簡介影片 |
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
課程概述 |
應用數學一 |
課程目標 |
|
課程要求 |
|
預期每週課後學習時數 |
|
Office Hours |
|
指定閱讀 |
|
參考書目 |
|
評量方式 (僅供參考) |
|
週次 |
日期 |
單元主題 |
Week 1 |
2/23 |
Vector Algebra, Systems of Linear Equations |
Week 2 |
3/02 |
Matrix Algebra |
Week 3 |
3/09 |
Vector Analysis, Determinants, Introduction to Numerical Computation |
Week 4 |
3/16 |
Vector Space, Linear Independence |
Week 5 |
3/23 |
Vector Space, Basis, Dimension, Change of Basis, Column Sapce and Row Space. |
Week 6 |
3/30 |
Linear Transformations |
Week 7 |
4/06 |
Spring break |
Week 8 |
4/13 |
Orthogonal Subspace |
Week 9 |
4/20 |
Midterm Exam |
Week 10 |
4/27 |
Least Squares problems, Inner Product Spaces |
Week 11 |
5/04 |
Orthonormal Sets, Eigenproblem, Hermitian Matrices |
Week 12 |
5/11 |
Kronecker-delta and Dirac-delta function,
Fourier series, Hilbert space, x-rep, p-rep. |
Week 13 |
5/18 |
Review |
Week 14 |
5/25 |
Systems of linear differential equations.
Schur's Theorem. Quantization of angular momentum. |
Week 15 |
6/01 |
Singular Value Decomposition (SVD) |
Week 16 |
6/08 |
Final Exam |
Week 17 |
6/15 |
Review |
Week 18 |
2010/06/29 |
Final Exam Solution |
|