Course Information

Day One Handout

This section meets in slot 06, from 1:00-1:50 PM on Mondays, Tuesdays, and Thursdays, in ED 3034B. My office hours are Tuesdays from 10:30 - noon and Thursdays from 2:00-3:30 PM, or by appointment, in HH-2019.

Textbook
There are two options, both available in the bookstore. One is Linear Algebra: Pure & Applied, by Edgar Goodaire, published by World Scientific Publishing. The other is Course Notes: Linear Algebra I, by Edgar Goodaire, published by Kendall Hunt. The course notes are significantly less expensive, but also less thorough than the full textbook. You are free to choose whichever option you prefer.

D2L
This course will not be using D2L; all material online will be posted here.

Homework (Updated Sept. 17, 2015)
There will be 8 homework assignments (plus a final, "bonus", assignment), as indicated on the schedule below. Each HW assignment will be posted at least one week before it is due. Homework will be due to the grading box, #20, in the Math (HH) building by 5:00pm on the day that it is due, or it can be turned in before/after the last class before the due date. No late homework will be accepted. The schedule here will be updated in the event of any changes.
HW1 Due Friday, Sept. 25th Assignment Solutions
HW2 Due Friday, Oct. 2nd Assignment Solutions
HW3 Due Friday, Oct. 9th Assignment Solutions
HW4 Due Friday, Oct. 23rd Assignment Solutions
HW5 Due Friday, Oct. 30th Assignment Solutions
HW6 Due Friday, Nov. 6th Assignment Solutions
HW7 Due Friday, Nov. 20th Assignment Solutions
HW8 Due Wednesday, Nov. 25th Assignment Solutions
HW9 NOT for submission Assignment Solutions

Help is available during office hours, and through the Math 2050 Help Centre.

Approximate Schedule



  • 9/10: Introduction
  • 9/14: 2D Vectors, addition, scalar multiplication
  • 9/15: Vectors in Rn, linear combinations, span
  • 9/17: Span, standard basis vectors, magnitude and unit vectors
  • 9/21: Dot product, Angle between vectors, Inequalities
  • 9/22: Inequalities, Cross Product
  • 9/24: Cross Product, Equation of a plane
  • 9/28: Equation of a plane, Equation of a line
  • 9/29: Projections
  • 10/1: Projections, part 2
  • 10/5: Linear Dependence and Independence
  • 10/6: Matrix notation
  • 10/8: Matrix-vector and matrix-matrix multiplication
  • 10/12: Thanksgiving Day, no lecture
  • 10/13: Fall Break, no lecture
  • 10/15: Review for Midterm Test #1, Practice Exam, Solutions
  • 10/16: Monday Schedule! Midterm Test #1, Solutions
  • 10/19: Matrix multiplication, continued
  • 10/20: Systems of linear equations and row operations
  • 10/22: Gaussian Elimination
  • 10/26: Gaussian Elimination, continued
  • 10/27: Gaussian Elimination, continued
  • 10/29: Homogeneous systems
  • 11/2: Matrix inverses and matrix equations
  • 11/3: Gauss-Jordan elimination
  • 11/5: Elementary matrices and LU factorization
  • 11/9: LU and PLU factorizations
  • 11/10: Minors, cofactors, adjoints, and determinants
  • 11/12: Computing Determinants
  • 11/16: Review for Midterm Test #2, Practice Exam, Solutions
  • 11/17: Midterm Test #2, Solutions
  • 11/19: Properties of Determinants
  • 11/23: Computing Determinants, Part 2
  • 11/24: Eigenvectors, Eigenvalues, Characteristic Polynomials
  • 11/26: Eigenvectors, Eigenvalues, Complex Numbers
  • 11/30:
  • 12/1:
  • 12/3: Final Review
  • 12/??: Final Exam