Math V2010: Linear AlgebraFall 2012Instructor: Qile Chen (Office 628 Mathematics). Office hours: Tuesday 2:00  4:00 pm in 628 Math, or by email appointment. Email: q_chen@math.columbia.edu TAs: Andrea Heyman, her office hours are Wednesdays, 10:301:30 in the Columbia Help Room. The major topics will cover Chapter 1 through Chapter 7 of our text book. These include matrices, determinants, inner products, eigenvalues and eigenvectors, linear spaces and their relation with matrices. If time allows, we will cover some additional topics from Chapter 8 and 9, which include symmetric matrices, quadratic forms and linear differential equations. Textbook: Otto Bretscher, Linear Algebra with applications, Fourth Edition,
The homework assignments and due days will be posted here: [ Homework ]
Homework: There will be weekly problem sets, due at the beginning of class on every Tuesday. The first problem set will be due on Tuesday, Sep 11. You can put your homework in the homework box before the class, or hand it to me right after the class. The Midterm and final exams will be closely related to the homework assignments. You should understand how to do every problem correctly. Collaboration and discussion with your classmates is encouraged, but you must write up assignments individually. Graded homework will be available on the table outside 507 Mathematics. Late homework will not be accepted. Exams: There will be two 75minute midterm exams and a final. The dates for the midterms are as follows:
Grading: The final course grade will be determined by: Homework: 10%
Help: Besides my office hours, help is also available without appointment in the Mathematics Help Room (406 Mathematics) whenever it is open.The Help Room is staffed both by faculty and teaching assistants, who will be able to help you with questions related to this course. Useful links for the schedule:
Master University Examination Schedule
Homework: 
The assignments will be posted before each Tuesday. 



Sep. 4, 6  1.11.3 
HW#1 due Sep. 11: 1.1: 2, 6, 12 1.2: 4, 6, 8, 34, 36 1.3: 2, 4, 16, 18 Solutions 
Sep. 11, 13  2.12.3 
HW#2 due Sep. 18: 2.1: 4, 6, 8, 44 2.2: 6, 8, 13, 30 2.3: 4, 6, 16, 27 Solutions 
Sep. 18, 20  2.43.2 
HW#3 due Sep. 25: 2.4: 8, 14, 28, 35 3.1: 10, 14, 36, 44 3.2: 6, 18, 32, 42 Solutions 
Sep. 18, 20  3.33.4 
HW#4 due Oct. 2: 3.3: 16, 22, 30, 38 3.4: 8, 22, 28, 36, 54 Solutions 
Oct. 2, 4  4.1, review Chapter 1  3, and the First midterm 
No homework this week in class First midterm on Thursday, covers Chapter 1  3 
Oct. 9, 11  4.14.3 
HW#5 due Oct. 16: 4.1: 20, 26 4.2: 8, 10, 36, 65, 81 4.3: 22, 33, 38, 62 Solutions 
Oct. 16, 18  5.15.3 
HW#6 due Oct. 23: 5.1: 4, 10, 23, 28, 32 5.2: 6, 8, 18, 20, 32 Solutions 
Oct. 23, 25  5.35.5 
HW#7 due Nov. 1: 5.3: 26, 28, 50, 60 5.4: 2, 10, 16, 20, 26 5.5: 2, 6, 16, 20 Solutions 
Nov. 1  6.1 
HW#8 due Nov. 8: 6.1: 10, 20, 22, 28, 40, 44, 56 Solutions 
Nov. 8  Review for the Midterm & 6.2 
HW#9 due Nov. 20: 6.2: 6, 8, 16, 30, 38, 40 
Nov. 13 & 15  Second Midterm exam & 6.2 
HW#9 due Nov. 20: More problems on 6.2:4, 14, 46, 51 Solutions 
Nov. 20  6.3 
HW#10 due Nov. 27: 6.3:2, 14, 16, 18, 19, 20 Solutions 
Nov. 27 & 29  7.1, 7.2, and 7.3 
HW#11 due Dec. 4: 7.2:4, 12, 22, 32, 42, 44 7.3:6, 8, 12, 16, 20, 28 Solutions 
Dec. 4 & 6  7.4, 8.1, and 8.2 
HW#12 due Dec. 11: 7.4:6, 16, 26, 28, 56, 66 8.1:6, 12 8.2:4, 6, 8, 9(a),(b) Solutions 
The template of this Syllabus is copied from http://www.math.columbia.edu/department/syllabi/CalcIVsyllabus.html