Vectors, Matrices, and Applications 🧮
Math 124, Fall 2026 at the University of Michigan
Lectures: Tuesday and Thursdays, 2:30-4PM, G127 Angell Hall • Labs: Various times on Wednesday
Welcome to Math 124, and to the University of Michigan! 👋 Make sure to read the syllabus. See you in lecture on Tuesday and lab on Wednesday!
Week 1: Welcome! 👋
Signups for Quiz 0 open on August 31.
- Tue Sep 1
LEC 1 Introduction
- Wed Sep 2
LAB 1 Mathematical Foundations
- Thu Sep 3
LEC 2 Number Sets, Introduction to Vectors
Week 2: Vectors and Lines; Quiz 0
- Tue Sep 8
LEC 3 Vector Arithmetic, Lengths, and the Dot Product
SURV Welcome Survey and FCI Survey 1
- Wed Sep 9
LAB 2 Lab 2
- Thu Sep 10
LEC 4 Geometry in R²: Lines and Equations
- Fri Sep 11
QUIZ Quiz 0 (open Sep 8-11; slots open Aug 31)
Practice Quiz Week 3: Lines, Planes, and Orthogonality
Signups for Quiz 1 open on September 14.
- Mon Sep 14
HW 2 Homework 2
- Tue Sep 15
LEC 5 Geometry in R²: Orthonormal Coordinates and Projection
- Wed Sep 16
LAB 3 Lab 3
- Thu Sep 17
LEC 6 Geometry in R³: Planes and Lines
Week 4: Projection and Intersections; Quiz 1
- Mon Sep 21
HW 3 Homework 3
- Tue Sep 22
LEC 7 Geometry in R³: Orthonormal Coordinates and Projection
- Wed Sep 23
LAB 4 Lab 4
- Thu Sep 24
LEC 8 Intersections of Lines and Planes
- Fri Sep 25
QUIZ Quiz 1 (open Sep 21-25; slots open Sep 14)
Week 5: Matrices and Midterm 1 Review
- Mon Sep 28
HW 4 Homework 4
- Tue Sep 29
LEC 9 Matrices and Matrix-Vector Multiplication
- Wed Sep 30
LAB 5 Lab 5
- Thu Oct 1
LEC 10 Review and Catchup
Week 6: Linear Transformations and Matrix Multiplication; Midterm 1
Signups for Quiz 2 open on October 5.
- Mon Oct 5
HW 5 Homework 5
EXAM Midterm 1
- Tue Oct 6
LEC 11 Linear Transformations
- Wed Oct 7
LAB 6 Lab 6
- Thu Oct 8
LEC 12 Matrix Multiplication and Composition
Week 7: Inverses and Linear Systems; Quiz 2
- Mon Oct 12
HW 6 Homework 6
- Tue Oct 13
LEC 13 Transpose and Inverses
- Wed Oct 14
LAB 7 Lab 7
- Thu Oct 15
LEC 14 Linear Systems, Triangular Systems, and Back Substitution
- Fri Oct 16
QUIZ Quiz 2 (open Oct 12-16; slots open Oct 5)
Week 8: Fall Break and PLU
- Mon Oct 19
HW 7 Homework 7
- Tue Oct 20
No Lecture: Fall Break 🍂
- Wed Oct 21
LAB 8 Lab 8
- Thu Oct 22
LEC 15 PLU Factorization for Invertible Matrices
Week 9: PLU and Subspaces
Signups for Quiz 3 open on October 26.
- Mon Oct 26
HW 8 Homework 8
- Tue Oct 27
LEC 16 PLU Factorization in General
- Wed Oct 28
LAB 9 Lab 9
- Thu Oct 29
LEC 17 Subspaces, Span, and Column Space
Week 10: Bases, Dimension, and QR; Quiz 3
- Mon Nov 2
HW 9 Homework 9
- Tue Nov 3
LEC 18 Bases and Dimension
- Wed Nov 4
LAB 10 Lab 10
- Thu Nov 5
LEC 19 Orthonormal Bases and QR Factorization
- Fri Nov 6
QUIZ Quiz 3 (open Nov 2-6; slots open Oct 26)
Week 11: Orthogonal Transformations and Midterm 2 Review
- Mon Nov 9
HW 10 Homework 10
- Tue Nov 10
LEC 20 Orthogonal Matrices and Orthogonal Transformations
- Wed Nov 11
LAB 11 Lab 11
- Thu Nov 12
LEC 21 Review and Catchup
Week 12: Midterm 2; Least Squares
- Mon Nov 16
HW 11 Homework 11
EXAM Midterm 2
- Tue Nov 17
LEC 22 Least Squares
- Wed Nov 18
LAB 12 Lab 12
- Thu Nov 19
LEC 23 Applications of Least Squares
Week 13: Determinants and Thanksgiving
Signups for Quiz 4 open on November 23.
- Mon Nov 23
HW 12 Homework 12
- Tue Nov 24
LEC 24 Determinants as Area and Volume Scale Factors
- Wed Nov 25
No Lab: Thanksgiving 🍁
- Thu Nov 26
No Lecture: Thanksgiving 🍁
Week 14: Eigenvalues and Diagonalization; Quiz 4
- Mon Nov 30
HW 13 Homework 13
- Tue Dec 1
LEC 25 Eigenvalues and Eigenvectors
- Wed Dec 2
LAB 13 Lab 13
- Thu Dec 3
LEC 26 Diagonal Matrices and Diagonalization
- Fri Dec 4
QUIZ Quiz 4 (open Nov 30-Dec 4; slots open Nov 23)