Michigan State University
Fall 2026 · MTH 415

Applied Linear Algebra

Course schedule, lecture notes, and homework assignments

Course Information & Files

Class: MWF 1:50–2:40 PM Room: Wells Hall A318

Grading, exam information, prerequisites, office hours, and course policies are provided in the syllabus.

Course Schedule

This page will be updated throughout the semester with lecture topics, lecture-note links, homework assignments, and due dates.

Date Topic Lecture Notes Homework Due Date
Schedule will be posted and updated here.
Aug. 31 Data, vectorization, and affine functions Lecture 1
Sep. 2 Layer and parameter count Lecture 2
Sep. 4 Expressivity Lecture 3 Homework 1 Sep. 11
Sep. 9 Span and Inner product
Sep. 11 Norms Lecture 4-5 Homework 2 Sep. 18
Sep. 14 Homework 1 Homework1 _solution
Sep. 16 Subspaces, Basis and Rank Lecture 6
Sep. 18 Orthogonality, Orthonormal Basis and Gram-Schmidt Lecture 7-8 Homework 3 Sep. 25
Sep. 21 QR decomposition see the previous lecture note
Sep. 23 Review Lecture 9
Sep. 25 Sum of Subspaces Lecture 10 Homework 4 Oct 2
Sep. 28 Sums of subspaces and more Lecture 11 Homework 3 solution
Oct. 2 Orthogonal Projections Lecture 12 Homework 5 Oct. 9
Oct. 5 Least Squares Lecture 13 Homework 4 solution
Oct. 7 Fundamental Subspaces 1 Lecture 14
Oct. 9 Fundamental Subspaces 2 see the previous lecture note Homework 6 Oct. 16
Oct. 12 The Spectral Theorem Homework 5 solution

Please check this page regularly; dates and topics may be adjusted as the semester progresses.