In this lecture we introduce the basic concepts about vector spaces, linear maps and matrix transformations. It is a very important basic course because In many occasions one approaches a problem by linearization, because linear systems are easier to solve than non-linear ones. The syllabus can be found here.
Content: (Organized by chapters in the lecture notes)
Book Name: Elementary Linear Algebra (Application Version),
Howard Anton & Chris Rorres, ISBN 978-1-118-43441-3, Wiley, 2014, Edition 11
Lectures: Wednesdays and Fridays 8:15-9:55 Teaching building Room 303.
Wednesdays 18:00-19:40 SPST 1-205 (Li Chenxuan)
Fridays 18:00-19:40 SPST 1-105 (Yu Sun)
Fridays 16:00-17:40 SIST 1A108 (Zhe Zhelin)
Every student is attached to one example class.
I strongly recommend to attend the example classes.
Chapter 5: Week10-2(Beginning of Chapter 5)
Proof of Theorem 25 (uniqueness of reduced row echelon form of a matrix)
The problem sheets are published weekly, and the solution has to be handed in by Wednesday before the lecture.
For the midterm we provide a collection of review problems for self-study:
The midterm covers Chapter1 to Chapter 4.
Prof. Daniel Skodllerack
Institute for Mathematical Sciences, Room S413
Mondays 19:00-20:00 and Sundays 19:00-20:00
Email address: dskodlerack at shanghaitech.edu.cn