Welcome! You have found the homepage of the Summer 2025 manifestation of Math 218.
Quizzes are distributed through gradescope.
| Timeframe | Topic | Resources |
|---|---|---|
| Week 0 | Welcome! | |
| Week 1 | Matrices and Vectors |
|
| Adjectives ⟵ complete at home! |
|
|
| Matrix-Vector Products |
|
|
| Digraphs |
|
|
| Week 2 | Vector Geometry |
|
| Matrix Multiplication |
|
|
| Row Echelon Forms |
|
|
| Linear Systems |
|
|
| Gauss-Jordan Elimination |
|
|
| Nonsingular Matrices |
|
|
| EA=R Factorizations ⟵ not on Exam I! |
|
|
| Thu 29-May | Exam I ⟵ covers weeks 1&2 material |
|
| Week 3 | PA=LU Factorizations |
|
| Eigenvalues |
|
|
| Week 4 | Null Spaces |
|
| Column Spaces |
|
|
| The Four Fundamental Subspaces |
|
|
| Linear Independence |
|
|
| Bases |
|
|
| Dimension |
|
|
| Orthogonality |
|
|
| Projections |
|
|
| Week 5 | Least Squares |
|
| A=QR Factorizations |
|
|
| The Gram-Schmidt Algorithm |
|
|
| Determinants I |
|
|
| Determinants II |
|
|
| Complex Numbers |
|
|
| Polynomial Algebra |
|
|
| The Characteristic Polynomial ⟵ not on Exam II! |
|
|
| Tue 17-Jun | Exam II ⟵ covers weeks 3-5 |
|
| Week 6 | Diagonalization |
|
| Matrix Exponentials |
|
|
| The Spectral Theorem |
|
|
| Week 7 | Definiteness |
|
| Thu 26-Jun | Final Exam ⟵ click for info! |