Linear Algebra and Matrix Theory
The course Math 225 is a rigorous proofbased introduction to linear algebra.
Math 225 (as opposed to Math 222) is focused on the abstract aspects of linear algebra and will demand a
fair amount of maturity of mathematical thinking, as opposed to just problem solving.
The main topics covered will be vector spaces, linear transformations, matrices, systems of
linear equations, determinants, eigenvalues, eigenvectors, diagonalization, and applications.
Problem sets will consist of a mix of computational and proofbased problems.
Course info
 Lectures: TTh 9:0010:15
 Classroom: HLH17 05
 Office: DL 406
Syllabus
You can find the syllabus
here.
Exams
 Quiz 1: September 20  in class
 Midterm: October 11  79 pm HLH17 05 (the regular classroom, different time)
 Quiz 2: November 8
 Final: December 19, 9am
Resources
While a concept can be obvious to some it can be completely mysterious to others.
Moreover, different instructors will emphasize different points of the material. This is why it is very useful to
hear the material discussed by someone else even if you think you understand everything taught in class!
So I encourage you to visit the discussion sessions. Spending more time with challenging concepts always pays off.
Bellow you can find a list of the available resources for this class. Take advantage of them!
Of course, these are the perfect places to visit if you struggle with a concept, if the lectures/homework don't make sense or
if you just have a small question regarding the material:
 Peer tutor sessions with Joy Qiu
 Sundays 78:30 pm in Wright Reading Room B67 (in the basement of Sterling).
 Wednesdays 7:159:15 pm in Wright Reading Room B67 (in the basement of Sterling).
 TA discussion sessions with Shiyue Li.
 Discussion session: Mondays 78pm in LOM 214
 Office Hours: Tuesdays 45pm in DL 415
 Guides for writing proofs can be found here.
Office hours
If you need help with the course or you have questions regarding the material or the homeworks
or you would just want to pick up your homework, please don't hesitate to stop by my office or
write me an email. If the time is inconvenient you can arrange an appointment.
Office hours: Tuesday 56pm
Homework Sets
Solutions to Homeworks
Schedule
Week 
Dates 
Textbook sections 
1 
29 August  1 September 
1.1, 1.2, Appendix C

2 
2 September  8 September 
1.2, 1.3, 1.4 only the definition of linear combination

3 
9 September  15 September 
1.4, 1.5

4 
16 September  22 September 
1.6, Quiz 1

5 
23 September  29 September 
1.6, 2.1

6 
30 September  6 October 
2.1

7 
7 October  13 October 
2.2, 2.3, MT 1

8 
14 October  20 October 
2.4
