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Vectors, Matrices, and Applications
MATH 124, Fall 2026 at the University of Michigan
Lectures: Tuesdays and Thursdays, 2:30–4:00 PM in G127 Angell Hall
Week 1: Vectors
- Tue Sep 1
LEC 1 Introduction
- Wed Sep 2
LAB Lab 1
- Thu Sep 3
LEC 2 Vectors as Lists and Arrows
Week 2: Vectors and Lines
- Tue Sep 8
LEC 3 Length, Distance, and Dot Product
HW Homework 1
- Wed Sep 9
LAB Lab 2
- Thu Sep 10
LEC 4 Geometry in R²: Lines and Equations
- Fri Sep 11
QUIZ Quiz 0
Week 3: Lines, Planes, and Orthogonality
- Mon Sep 14
HW Homework 2
- Tue Sep 15
LEC 5 Geometry in R²: Orthonormal Coordinates and Projection
- Wed Sep 16
LAB Lab 3
- Thu Sep 17
LEC 6 Geometry in R³: Planes and Lines
Week 4: Projection and Intersections
- Mon Sep 21
HW Homework 3
- Tue Sep 22
LEC 7 Geometry in R³: Orthonormal Coordinates and Projection
- Wed Sep 23
LAB Lab 4
- Thu Sep 24
LEC 8 Intersections of Lines and Planes
- Fri Sep 25
QUIZ Quiz 1
Week 5: Matrices and Midterm 1 Review
- Mon Sep 28
HW Homework 4
- Tue Sep 29
LEC 9 Matrices and Matrix-Vector Multiplication
- Wed Sep 30
LAB Lab 5
- Thu Oct 1
LEC 10 Review and Catchup
Week 6: Linear Transformations and Matrix Multiplication
- Mon Oct 5
HW Homework 5
EXAM Midterm 1
- Tue Oct 6
LEC 11 Linear Transformations
- Wed Oct 7
LAB Lab 6
- Thu Oct 8
LEC 12 Matrix Multiplication and Composition
Week 7: Inverses and Linear Systems
- Mon Oct 12
HW Homework 6
- Tue Oct 13
LEC 13 Transpose and Inverses
- Wed Oct 14
LAB Lab 7
- Thu Oct 15
LEC 14 Linear Systems, Triangular Systems, and Back Substitution
- Fri Oct 16
QUIZ Quiz 2
Week 8: Fall Study Break and PLU
- Mon Oct 19
HW Homework 7
Fall Study Break — no classes
- Tue Oct 20
Fall Study Break — no classes
- Wed Oct 21
LAB Lab 8
- Thu Oct 22
LEC 15 PLU Factorization for Invertible Matrices
Week 9: PLU and Subspaces
- Mon Oct 26
HW Homework 8
- Tue Oct 27
LEC 16 PLU Factorization in General
- Wed Oct 28
LAB Lab 9
- Thu Oct 29
LEC 17 Subspaces, Span, and Column Space
Week 10: Bases, Dimension, and QR
- Mon Nov 2
HW Homework 9
- Tue Nov 3
LEC 18 Bases and Dimension
- Wed Nov 4
LAB Lab 10
- Thu Nov 5
LEC 19 Orthonormal Bases and QR Factorization
- Fri Nov 6
QUIZ Quiz 3
Week 11: Orthogonal Transformations and Midterm 2 Review
- Mon Nov 9
HW Homework 10
- Tue Nov 10
LEC 20 Orthogonal Matrices and Orthogonal Transformations
- Wed Nov 11
LAB Lab 11
- Thu Nov 12
LEC 21 Review and Catchup
Week 12: Least Squares
- Mon Nov 16
HW Homework 11
EXAM Midterm 2
- Tue Nov 17
LEC 22 Least Squares
- Wed Nov 18
LAB Lab 12
- Thu Nov 19
LEC 23 Applications of Least Squares
Week 13: Determinants and Thanksgiving Recess
- Mon Nov 23
HW Homework 12
- Tue Nov 24
LEC 24 Determinants as Area and Volume Scale Factors
- Wed Nov 25
Thanksgiving Recess — no classes
- Thu Nov 26
Thanksgiving Recess — no classes
- Fri Nov 27
Thanksgiving Recess — no classes
Week 14: Eigenvalues and Diagonalization
- Mon Nov 30
HW Homework 13
- Tue Dec 1
LEC 25 Eigenvalues and Eigenvectors
- Wed Dec 2
LAB Lab 13
- Thu Dec 3
LEC 26 Diagonal Matrices and Diagonalization
- Fri Dec 4
QUIZ Quiz 4