Math V2010: Linear Algebra

Fall 2012

Time and place: TR 11:40--12:55, in 209 Havemeyer Hall.
Instructor: 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, 10:30-1:30 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 75-minute midterm exams and a final. The dates for the midterms are as follows:

  • First Midterm, Thursday, Oct 4, in class
  • Second Midterm, Tuesday, Nov 13, in class
  • Final (Projected Schedule): Thursday, Dec 20 4:10 pm - 7:00 pm, at HAV 209. This is scheduled by the university. It must be taken at the scheduled time.
  • To help you prepare for the final exam, here is a list of selected exerciese from our text book.
If you have two final examinations scheduled at the same time, it is the responsibility of the other department to provide an alternate exam. Examinations will not be rescheduled because of travel arrangements -- it is your responsibility to schedule travel appropriately. Makeup midterms will be given only under exceptional circumstances and you will need a note from a doctor or a dean.

Grading: The final course grade will be determined by:

Homework: 10%
Midterm exams each: 20%
Final exam: 50%.


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
University Academic Calendar


Homework:

The assignments will be posted before each Tuesday.

Date
Reading
Homework
  Sep. 4, 6   1.1-1.3  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   2.1-2.3  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   2.4-3.2  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   3.3-3.4  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 mid-term  No homework this week 
 in class First mid-term on Thursday, covers Chapter 1 - 3
  Oct. 9, 11   4.1-4.3  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   5.1-5.3  HW#6 due Oct. 23: 
 5.1: 4, 10, 23, 28, 32
 5.2: 6, 8, 18, 20, 32
 Solutions
  Oct. 23, 25   5.3-5.5  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