Dr. Susan Cooper

Department of Mathematics

University of Manitoba

Office Hours: Mondays & Wednesdays 11:30 a.m. - 12:30 p.m.; or by appointment

Office: Machray Hall, Room 476

Email: susan.cooper@umanitoba.ca

Phone: (204) 474-9701

**MATH 1220 — Linear Algebra 1**

- Course Information Sheet & Syllabus

- University And Department Of Mathematics Support Offices And Policies — Schedule "A"

- Here is some additional information about Mathematics Resources:
- Mathematics Help Centre

- Math Boot Camp

- Saturday Series Registration

- Mathematics Help Centre
- Purchase Text & MyLab Math Code From Bookstore

*MyLab Math*

- MyLab Math Access Instructions From Pearson

- Below are the Skeleton Notes for lecture meetings:
- Monday, January 6: Systems Of Linear Equations

- Wednesday, January 8: Systems Of Linear Equations and Row Reduction and Echelon Forms

- Friday, January 10: Row Reduction and Echelon Forms

- Monday, January 13: Vector Equations

- Wednesday, January 15: The Matrix Equation Ax=b

- Friday, January 17: Solution Sets of Linear Systems

- Monday, January 20: Applications of Linear Systems

- Wednesday, January 22: Linear Independence

- Friday, January 24: Linear Independence and Introduction to Linear Transformations

- Monday, January 27: Introduction to Linear Transformations

- Wednesday, January 29: Introduction to Linear Transformations and The Matrix of a Linear Transformation

- Friday, January 31: The Matrix of a Linear Transformation

- Monday, February 3: Matrix Operations

- Wednesday, February 5: Matrix Operations and the Inverse of a Matrix

- Friday, February 7: The Inverse of a Matrix

- Monday, February 10: The Inverse of a Matrix and Characterizations of Invertible Matrices

- Wednesday, February 12: Characterizations of Invertible Matrices and The Leontief Input-Output Model

- Friday, February 14: Subspaces

- Monday, February 24: Subspaces

- Wednesday, February 26: Dimension and Rank

- Friday, February 28: Dimension and Rank and Introduction to Determinants

- Monday, March 2: Introduction to Determinants and Properties of Determinants

- Wednesday, March 4: Properties of Determinants, Cramer's Rule, Volume, and Linear Transformations

- Friday, March 6: Cramer's Rule, Volume, and Linear Transformations

- Monday, March 9: Complex Numbers

- Wednesday, March 11: Eigenvectors and Eigenvalues

- Friday, March 13: The Characteristic Equation

- Wednesday, March 18: Diagonalization

- Friday, March 20: Diagonalization

- Monday, March 23: Eigenvectors and Linear Transformations

- Wednesday, March 25: Markov Chains and Discrete Dynamical Systems

- Friday, March 27: Complex Eigenvalues

- Monday, March 30: Inner Product, Length, and Orthogonality

- Wednesday, April 1: Inner Product, Length, and Orthogonality

- Friday, April 3: Orthogonality

- Monday, April 7: Cross Product, Lines, and Planes

- Monday, January 6: Systems Of Linear Equations
- Lecture Voting Card

- Below are the Tutorial Worksheets for tutorial meetings:
- Tutorial Worksheet #1: Friday, January 17

- Tutorial Worksheet #2: Friday, January 24

- Tutorial Worksheet #3: Friday, January 31

- Tutorial Worksheet #4: Friday, February 7

- Tutorial Worksheet #5: Friday, February 14

- Tutorial Worksheet #6: Friday, February 28

- Tutorial Worksheet #7: Friday, March 6

- Tutorial Worksheet #8: Friday, March 13

- Tutorial Worksheet #9: Friday, March 20

- Tutorial Worksheet #10: Friday, March 27

- Tutorial Worksheet #1: Friday, January 17

*Maxima — A Computer Algebra System*

- UM Learn

- Department of Mathematics, University of Manitoba

- Undergraduate Research Awards at the University of Manitoba

- NSERC — Students and Fellows

- The MacTutor History of Mathematics Archive

- The American Mathematical Society (AMS)

- The Mathematical Association of America (MAA)

- The Canadian Mathematical Society (CMS)

- The Association for Women in Mathematics (AWM)