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
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 Vector Arithmetic, Lengths, and the Dot Product
- Thu Sep 10
LEC 4 Dot Product; 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
- Tue Sep 15
LEC 5 Geometry in ℝ²: Orthonormal Coordinates and Projection
- Wed Sep 16
LAB 3 Lines, Vectors and Orthogonality in ℝ²
- Thu Sep 17
LEC 6 Geometry in ℝ³: Planes and Lines
Week 4: Projection and Intersections; Quiz 1
- Mon Sep 21
- Tue Sep 22
LEC 7 Geometry in ℝ³: Planes and Lines II
- Wed Sep 23
LAB 4 Lines and Planes in ℝ³
- Thu Sep 24
LEC 8 Geometry in ℝ³: Planes and Lines III
- Fri Sep 25
QUIZ Quiz 1 (open Sep 21-25; slots open Sep 14)
Week 5: Geometry in ℝ³
- Tue Sep 29
LEC 9 Geometry in ℝ³: Orthonormal Coordinates and Projection
- Wed Sep 30
LAB 5 Homework 4 Work Session
- Thu Oct 1
LEC 10 Intersections of Lines and Planes
- Fri Oct 2
Week 6: Midterm 1; Matrices
- Mon Oct 5
- Tue Oct 6
LEC 11 Matrices and Matrix-Vector Multiplication
- Wed Oct 7
LAB 6 Matrix-Vector Multiplication
- Thu Oct 8
LEC 12 Linear Transformations
Week 7: Matrix Multiplication and Inverses
Signups for Quiz 2 open on October 12.
- Tue Oct 13
LEC 13 Matrix Multiplication and Composition
- Wed Oct 14
LAB 7 Homework 5 Work Session
- Thu Oct 15
LEC 14 Matrix Multiplication and Inverses
- Fri Oct 16
SUR Mid-Semester Feedback Form
- Sun Oct 18
HW 5 Matrices and Linear Transformations
Week 8: Fall Break; Linear Systems; Quiz 2
- Tue Oct 20
No Lecture: Fall Break 🍂
- Wed Oct 21
LAB 8 Inverses
- Thu Oct 22
LEC 15 Linear Systems and LU Factorization
- Fri Oct 23
QUIZ Quiz 2 (open Oct 21-23; slots open Oct 12)
Week 9: PLU Factorization
- Tue Oct 27
LEC 16 PLU Factorization for Invertible Matrices
- Wed Oct 28
LAB 9 LU Decomposition and Permutation Matrices
- Thu Oct 29
LEC 17 PLU Factorization in General
- Fri Oct 30
HW 6 Inverses and LU Factorization
Week 10: Subspaces, Bases, and Dimension
Signups for Quiz 3 open on November 2.
- Tue Nov 3
LEC 18 Span and Column Space
- Wed Nov 4
LAB 10 Column Space
- Thu Nov 5
LEC 19 Subspaces and Rank
- Sun Nov 8
HW 7 Linear Systems
Week 11: Orthonormal Bases, QR, and Orthogonal Transformations; Quiz 3
- Tue Nov 10
LEC 20 Orthonormal Bases and QR Factorization
- Wed Nov 11
LAB 11 Lab 11
- Thu Nov 12
LEC 21 Orthogonal Matrices and Orthogonal Transformations
- Fri Nov 13
QUIZ Quiz 3 (open Nov 9-13; slots open Nov 2)
Week 12: Midterm 2; Least Squares
- Mon Nov 16
EXAM Midterm 2 (7-9PM, CCCB 0460)
- 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.
- 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
- 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)