Back to overview over all lectures...
|Guo Yuan-Zhu||Huang Yu-Ming|
|office:||Engineering Building IV, Office 716A (ED716A)||Engineering Building IV, Office 716A (ED716A)|
|phone:||03-571 21 21 ext. 54630||03-571 21 21 ext. 54630|
|office hours:||on appointment||on appointment|
To make our and your life easier, let's agree on the following rule: You may contact or visit the TAs at any time also outside of office hours. However, if you haven't made an appointment in advance, they have the right to tell you that they haven't got time right at that moment.
The course is scheduled for 3 hours per week:
The course starts on Tuesday, 19 February 2013, and finishes on Thursday, 20 June 2013.
NCTU requests that every teacher offers two hours per week where students may come to ask questions:
However, we would like to encourage you to show up in the teacher's or teaching assistants' office at any time whenever you have questions about the class or related subjects. Moreover, we are always available during and after classes.
Gilbert Strang: "Introduction to Linear Algebra," Wellesley-Cambridge Press, Massachusetts, USA, fourth edition, 2009. ISBN: 978-0-9802327-2-1.
For certain topics there might be additional handouts during class. Note that online one can find video lectures of Prof. Strang teaching linear algebra based on his textbook.
Every week, an exercise will be distributed in class and also made available online for download. This exercise will consist of several problems that need to be solved at home and handed in during the class of the following week. A model solution will be handed out and made available online afterwards.
We believe the exercises to be extremely important and crucial to the understanding of the course. They also serve as a preparation for the mid-term and final exams and we therefore highly recommend to solve them. To pass the course you need to hand in at least 10 exercises.
There will be one mid-term and one final exam. The final exam is going to last three hours. Both exams will be open-book. Details about the covered material in the mid-term exam will be published in due time. The final exam will cover everything taught in class.
The grade will be an average of
The grade of the homework will not be based on the correctness of the answers, but rather on the effort the student shows in trying to solve them. Moreover, I will try to reward students who participate actively in class.
This course is worth 3 credits.
The lecture will be held in English.
Note that some details of this program might change in the course of the semester.
Note that some linked documents in this table can only be downloaded from within NCTU and NTHU!
|W||Date||Topic||Handouts||Exercise (due on)||Solutions||Comments|
|1||19 Feb.||Vectors & linear combinations, dot-product, matrices||Syllabus (Version 2)||Exercise 1 (26 Feb.)||Chapter 1|
|2||26 Feb.||Vectors and linear equations: elimination, elimination using matrices, matrix operations||Exercise 2 (5 Mar.)||Chapter 2|
|28 Feb.||No lecture (Holiday)||Solutions 1|
|3||5 Mar.||Vectors and linear equations: matrix operations, inverse matrix||Exercise 3 (12 Mar.)||Chapter 2|
|7 Mar.||Vectors and linear equations: inverse matrix, LU-factorization, transposes, permutations||Solutions 2||Chapter 2|
|4||12 Mar.||Vectors and linear equations: transposes, permutations, LU-factorization; vector spaces and subspaces: column space||Exercise 4 (19 Mar.)||Chapters 2 & 3|
|14 Mar.||Vectors spaces and subspaces: column space, nullspace||Solutions 3||Chapter 3|
|5||19 Mar.||Vector spaces and subspaces: nullspace, echelon matrix, rank, complete solution Ax=b||Exercise 5 (26 Mar.)||Chapter 3|
|21 Mar.||Vector spaces and subspaces: complete solution Ax=b||Solutions 4||Chapter 3|
|6||26 Mar.||Vector spaces and subspaces: independence, basis, dimension||Exercise 6 (2 Apr.)||Chapter 3|
|28 Mar.||Vector spaces and subspaces: dimension, Fundamental Theorem of LA (part 1)||Mid-Term Exam of last year||Solutions 5 (corrected)||Chapter 3|
|7||2 Apr.||Vector spaces and subspaces: Fundamental Theorem of LA (Part 1); orthogonality: Fundamental Theorem of LA (Part 2)||Exercise 7 (9 Apr.)||Chapters 3 & 4|
|4 Apr.||No lecture (Holiday)||Solutions 6|
|8||9 Apr.||Orthogonality: Fundamental Theorem of LA (Part 2); projections||Exercise 8 (23 Apr.)||Chapter 4|
|11 Apr.||Orthogonality: projections, least square approximations||Solutions 7||Chapter 4|
|9||16 Apr.||Mid-Term Exam||
|18 Apr.||Discussion mid-term exam; least square approximations||
|10||23 Apr.||Orthogonality: least square approximation, orthonormal bases, Gram-Schmidt||Exercise 9 (30 Apr.)||Chapter 4|
|25 Apr.||Orthogonality: Gram-Schmidt, QR factorization; determinants: definition||Solutions 8||Chapters 4 & 5|
|11||30 Apr.||Determinants: 10 rules||Exercise 10 (7 May)||Chapters 5|
|2 May||Determinants: 10 rules, cofactors||Solutions 9||Chapter 5|
|12||7 May||Determinants: Cramer's rule, areas and volumes, cross product||Exercise 11 (14 May)||Chapter 5|
|9 May||Determinants: cross product; eigenvalues and eigenvectors: introduction||Solutions 10||Chapters 5 & 6|
|13||14 May||Eigenvalues and eigenvectors: introduction||Exercise 12 (21 May)||Chapter 6|
|16 May||Eigenvalues and eigenvectors: introduction, diagonalization||Solutions 11||Chapter 6|
|14||21 May||Eigenvalues and eigenvectors: diagonalization, differential equations||Exercise 13 (28 May)||Chapter 6|
|23 May||Eigenvalues and eigenvectors: differential equations||Solutions 12||Chapter 6|
|15||28 May||Eigenvalues and eigenvectors: differential equations, matrix exponents, symmetric matrices||Exercise 14 (4 Jun.)||Chapter 6|
|30 May||Eigenvalues and eigenvectors: symmetric matrices||Solutions 13|| Please fill out online class evaluation before 15 June!
|16||4 Jun.||Eigenvalues and eigenvectors: symmetric matrices, positive definite matrices||Exercise 15 (11 Jun.)||Chapter 6|
|6 Jun.||Eigenvalues and eigenvectors: symmetric matrices, positive definite matrices, singular value decomposition (SVD)||Solutions 14||Chapter 6|
|17||11 Jun.||Eigenvalues and eigenvectors: singular value decomposition (SVD), pseudoinverse similar matrices||Exercise 16 (13 Jun.)||Chapter 6, Section 7.3|
|13 Jun.||Question and Answers|| Solutions 15,
|18||18 Jun.||Final Exam||
||ATTENTION: This is a 3 hours exam: 10:10–13:00!|
|20 Jun.||Coffee time||exam statistics||
-||- _|_ _|_ / __|__ Stefan M. Moser
[-] --__|__ /__\ /__ Senior Researcher & Lecturer, ETH Zurich, Switzerland
_|_ -- --|- _ / / Adj. Professor, National Chiao Tung University (NCTU), Taiwan
/ \  \| |_| / \/ Web: http://moser-isi.ethz.ch/