This is the course website for a previous iteration of the course. If you’re looking for the most recent course website, look at eecs245.org. Links to lecture recordings below will still work, but other links may not. (Links to course notes in particular have been changed in future semesters.)

Mathematics for Machine Learning 🧠

EECS 245*, Fall 2025 at the University of Michigan

4 credits • Open to all majors • Satisfies linear algebra requirement for CS majors and EECS 445
*Officially numbered EECS 298-004 and EECS 298-005; EECS 245 will be used starting Winter 2026

Suraj Rampure
he/him

rampure@umich.edu

Lecture: TuTh 3-4:30PM, 1013 DOW

Week 1: Welcome! 👋

Tue Aug 26

LEC 1 Introduction

📕 Ch. 1.1📝 In-Class Notes📺 Recording
Wed Aug 27

LAB 1 Python Basics and Math Review

🧠 Problems📕 Ch. 0.1📕 Ch. 0.2
Thu Aug 28

LEC 2 Loss Functions and the Constant Model

📕 Ch. 1.2📕 Ch. 1.3📝 In-Class Notes📺 Recording

Week 2: Linear Regression

Tue Sep 2

LEC 3 Empirical Risk and Simple Linear Regression

📕 Ch. 1.3📝 In-Class Notes📺 Recording
Wed Sep 3

LAB 2 Empirical Risk and Simple Linear Regression

🧠 Problems

HW 1 Means, Sums, and Calculus

🎥 Template Instructions

SUR Welcome Survey

Thu Sep 4

LEC 4 Simple Linear Regression

📕 Ch. 1.4📝 In-Class Notes📺 Recording

Week 3: Introduction to Linear Algebra

Tue Sep 9

LEC 5 Introduction to Vectors

📕 Ch. 1.5📕 Ch. 2.1📝 In-Class Notes📺 Recording

HW 2 Empirical Risk and Simple Linear Regression


Watch this video for hints on Problem 2a.

Wed Sep 10

LAB 3 Vectors and the Dot Product

🧠 Problems
Thu Sep 11

LEC 6 The Dot Product

📕 Ch. 2.2📝 In-Class Notes📺 Recording

Week 4: Projections, Spans, and Linear Independence

Tue Sep 16

LEC 7 Projections

📕 Ch. 2.3📝 In-Class Notes📺 Recording

HW 3 Vectors and the Dot Product

Wed Sep 17

LAB 4 Projections and Spans

🧠 Problems
Thu Sep 18

LEC 8 Spans and Linear Independence

📕 Ch. 2.4📝 In-Class Notes📺 Recording

Week 5: Vector Spaces; Matrices

Tue Sep 23

LEC 9 Vector Spaces and Subspaces

📕 Ch. 2.5 (lines and planes; read this)📕 Ch. 2.6📝 In-Class Notes📺 Recording
Wed Sep 24

LAB 5 Vector Spaces, Subspaces, and Bases

🧠 Problems
Thu Sep 25

LEC 10 Bases and Dimension

📕 Ch. 2.6📝 In-Class Notes📺 Recording
Fri Sep 26

REV Practice Midterm 1 (2:30-5:30PM, 1365 LCSIB)

🧠 Problems✅ Solutions📺 Recording

HW 4 Projections, Spans, and Linear Independence

Week 6: Midterm 1; Matrices

Tue Sep 30

EXAM Midterm 1 (during lecture)

🧠 Problems✅ Solutions
Wed Oct 1

No Lab: Day after Midterm

Thu Oct 2

LEC 11 Matrices

📕 Ch. 2.7📝 In-Class Notes📺 Recording

Week 7: Rank, Inverses

Tue Oct 7

LEC 12 Rank

📕 Ch. 2.8📝 In-Class Notes📺 Recording
Wed Oct 8

LAB 6 Rank, Column Space, and Null Space

🧠 Problems
Thu Oct 9

LEC 13 Inverses

📕 Ch. 2.9📝 In-Class Notes📺 Recording

HW 5 Matrices

Week 8: Fall Break 🍂

Tue Oct 14

No Lecture: Fall Break 🍂

Wed Oct 15

LAB 7 Inverses

🧠 Problems
Thu Oct 16

LEC 14 Inverses; Projections Revisited

📕 Ch. 2.9📕 Ch. 2.10📝 In-Class Notes📺 Recording

Week 9: Regression using Linear Algebra

Mon Oct 20

HW 6 Rank and Inverses (note the extended deadline!)

Tue Oct 21

LEC 15 Projections; Regression using Linear Algebra

📕 Ch. 2.10 (many new examples!)📕 Ch. 3.1📝 In-Class Notes📺 Recording
Wed Oct 22

LAB 8 Homework 7 Work Session


There is still lab!

Thu Oct 23

LEC 16 Multiple Linear Regression

📕 Ch. 3.1📕 Ch. 3.2📝 In-Class Notes📺 Recording
Fri Oct 24

HW 7 Projections; Regression using Linear Algebra

Week 10: Gradients

Tue Oct 28

LEC 17 The Gradient Vector

📕 Ch. 4.1📝 In-Class Notes📺 Recording
Wed Oct 29

LAB 9 Feature Engineering; The Gradient Vector

🧠 Problems
Thu Oct 30

LEC 18 Gradient Descent

📕 Ch. 4.2📝 In-Class Notes📺 Recording
Fri Oct 31

HW 8 Multiple Linear Regression

Week 11: Gradient Descent; Eigenvalues and Eigenvectors

Tue Nov 4

LEC 19 Convexity

📝 In-Class Notes📺 Recording

Live lecture is cancelled, since Suraj is presenting at a conference. A recording has been posted above.

Wed Nov 5

LAB 10 Gradient Descent and Convexity

🧠 Problems
Thu Nov 6

LEC 20 Review Convexity; Eigenvalues and Eigenvectors

📝 In-Class Notes📺 Recording
Fri Nov 7

REV Practice Midterm 2 (2:30-5:30PM, 1365 LCSIB)

🧠 Problems✅ Solutions

For the first 80 minutes, you can take the practice midterm. For the remaining time, we will take up the problems from it.

HW 9 Gradients and Gradient Descent

Week 12: Midterm 2; Eigenvalues and Eigenvectors

Tue Nov 11

EXAM Midterm 2 (during lecture)

🧠 Problems✅ Solutions
Wed Nov 12

No Lab: Day after Midterm

Thu Nov 13

LEC 21 Eigenvalues and Eigenvectors, Continued

📕 Ch. 5.1📝 In-Class Notes📺 Recording

Week 13: Diagonalization, SVD

Tue Nov 18

LEC 22 Adjacency Matrices and Diagonalization

📕 Ch. 5.1, Part 2📕 Ch. 5.2📝 In-Class Notes📺 Recording
Wed Nov 19

LAB 11 Diagonalization

🧠 Problems
Thu Nov 20

LEC 23 Diagonalization, Spectral Theorem, SVD

📕 Ch. 5.2📝 In-Class Notes📺 Recording

Week 14: SVD; Thanksgiving 🍁

Mon Nov 24

HW 10 Eigenvalues and Eigenvectors

Tue Nov 25

LEC 24 Singular Value Decomposition

📕 Ch. 5.3📝 In-Class Notes📺 Recording
Wed Nov 26

No Lab: Thanksgiving 🍁

Thu Nov 27

No Lecture: Thanksgiving 🍁

Week 15: PCA; Probability

Tue Dec 2

LEC 25 Principal Components Analysis

📕 Ch. 5.4📝 In-Class Notes📺 Recording
Wed Dec 3

LAB 12 Homework 11 Work Session

Thu Dec 4

LEC 26 Principal Components Analysis, Continued

📕 Ch. 5.4📝 In-Class Notes📺 Recording
Sat Dec 6

REV Post-Midterm 2 Practice Problems

🧠 Problems

The linked page has practice problems for content introduced after Midterm 2. Some problems have walkthrough videos; we're adding more over the weekend.

Week 16: Final Exam

Sun Dec 7

HW 11 Singular Value Decomposition (no slip days!)

Tue Dec 9

SUR End-of-Semester Survey and Official Evals


If at least 90% of students complete both by Tuesday 12/9 at 11:59PM, we'll add an extra 2% to everyone's overall grade in the course.

Wed Dec 10

EXAM Final Exam (10:30AM-12:30PM, 1013 DOW)

🧠 Problems

Make sure to read the Logistics post on Ed for details on how to prepare.