MATH 1B03/1ZC3 Tutorial (Winter 2020)
MATH 1B03/1ZC3 Tutorial (Winter 2020)
Sections Math 1B03 T03 and Math 1ZC3 T01, T03, and T04
TA Name: Craig Kohne
Email: kohnec@math.mcmaster.ca
Office Hours: April 13, 14: 3:30pm-6:00pm join here
Update
- You can now find videos on Echo360 for Tutorial 10 (covering Assignment 6 #3,6-10) and the Sample Exam.
Tutorial videos
Tutorial notes
Here are partial notes from the tutorial. These are meant to supplement, not replace, attending the tutorial.
- (Solving systems of linear equations, RREF. 1st Sample Test 1 #1, Assignment 1 #7)
- (Matrix multiplication, inverses. Assignment 2 #4,9,12, Suggested Problems 1.3.29, 1.4.46)
- (Elementary matrices, symmetric matrices. Assignment 2 #5, 1st Sample Test 1 #7,10, 2nd Sample Test 1 #8,9,10,13)
For Tuesday 6:00pm and Wednesday 9:30am sections: The first page on Elementary Matrices I presented had some typos. Please see the corrected version posted here.
- (Determinants. Assignment 3 #1,2,3)
- (Eigenvalues, eigenvectors. Assignment 3 #7-10)
Correction: For #11, the first row operation should read: R2 -> R2 + 8R1. The rest is correct.
You can email me over the reading week if you have questions about the sample tests (or other linear algebra problems). To secure a high mark on the test you should work through the Suggested Problems in addition to the Sample Tests and Assignments.
- (Systems of differential equations, complex numbers. Assignment 4 various)
- (Vector geometry. Assignment 5 part i)
- (Span, closure, axioms. Assignment 5 part ii)
- (Basis, independence, rank. Assignment 6 various)
Corrected a typo in #1.
Feedback and Questions
I welcome your feedback about the tutorial. Please let me know if I am going too fast, or am too difficult to hear, or the writing is too difficult to read. You can give your feedback during the tutorial or send an email.
Feel free to email me your linear algebra questions. If you want a particular problem taken up during tutorial, be sure to include your tutorial section.
Useful links
Symbolab - Calculators for computing eigenvectors, RREF with steps, etc.
Linear Algebra Toolkit - Website I mentioned during the first tutorial. You can use it to transform a matrix into RREF and show the row operations step-by-step.
Dr Rushworth's 1B03/1ZC3 Fact sheet - Dr Rushworth keeps a running list of Facts proven in lecture.
MATH 1B03/1ZC3 Course page
Craig Kohne homepage