Fall Term 2012

Lior Silberman
- Office: MATH 229B, 604-827-3031
- Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)
- Office Hours (Fall 2014): Tuesdays and Thursdays 9:30-10:30, Wednesdays 10:30-11:30

- Lecture: MWF, 10:00-11:00am, Math Annex room 1100.
- Textbook: Friedberg, Insel and Spence,
*Linear Algebra*, 4th Edition. Prentice-Hall. - Syllabus version 1.0
- A summary of mathematical notations (updated 10/9: summation notation)
- More examples for lectures updated 16/9.
- Answers to questions updated 21/9.
- TA Office Hours: Tuesdays 15:00-17:00 in LSK 300B.

References are to the textbook.

- 15/12 Final exam: information sheet.
- (26-30/11) The Spectral Theorem
- (18-23/11) Inner product spaces
- (16/11) Random walks and graph eigenvalues; see the original technical report on Google.
- (14/11) Diagonalization and change-of-basis
- (9/11) Algebraic and Geometric multiplicity
- (7/11) Midterm 2: Midterm 2 (solutions) (pre-midterm sheet)
- (02/11) Section 5.1 (Eigenvalues)
- (26/10) Section 4.5 (Determinants)
- (24/10) Section 4.1, 4.2, 4.3 (Determinants)
- (22/10) Applications of Gaussian elimination
- (19/10) Linear equations and Gaussian elimination
- (17/10) Linear equations and Gaussian elimination
- (15/10) Linear equations and Gaussian elimination
- (12/10) Linear equations and Gaussian elimination
- (12/10) Linear equations and Gaussian elimination
- (10/10) Midterm review
- (5/10) Midterm 1 (solutions) (pre-midterm sheet) (midterm followup)
- (3/10) Section 2.3 (matrix multiplication), the algebra of endomorphisms
- (26/9) Section 2.2 (matrices)
- (24/9) Section 2.1 (linear transformations)
- (21/9) Geometric intrepretation
- (19/9) Dimension
- (17/9) Section 1.6 (bases)
- (14/9) Section 1.5 (linear independence)
- (12/9) Section 1.4 (linear combinations; span; linear equations)
- (10/9) Section 1.3 (subspaces)
- (7/9) Section 1.2 (vector spaces)
- (5/9) Introduction

- Problem Set 1, due 12/9/12 (problem 5 simplified, two typos cleared) [solutions]
- Problem Set 2, due 19/9/12 [solutions]
- Problem Set 3 (practice problems added, hint to 7(c) corrected), due 26/9/12 [solutions]
- Problem Set 4, due 3/10/12 (typo in 5(a), clarified definition for problem 7) [solutions]
- Problem Set 5, due 10/10/12 [solutions]
- Problem Set 6, due 17/10/12 (typo in 3(b)) [solutions]
- Problem Set 7, due 24/10/12 [solutions]
- Problem Set 8, due 2/11/12 [solutions]
- Problem Set 9 -- practice only [solutions]
- Problem Set 10, due 16/11/12 [solutions]
- Problem Set 11, due 23/11/12 [solutions]
- Problem Set 12, due 30/11/12 [solutions]

Back to my homepage.

Clarification: the writings on
these pages are made available for traditional academic reuse. If you wish
to republish substantial portions (including in "derivative works")
please ask me for permission.
The material is **expressly excluded** from the terms of
UBC Policy 81.