Welcome! You have found the homepage of the Fall 2021 manifestation of Math 218.
Quizzes and problem sets can be found on gradescope.
| Timeframe | Topic | Resources |
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| Week 0 | Welcome! |
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| Week 1 | Matrices and Vectors |
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| Digraphs |
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| Week 2 | Vector Geometry |
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| Matrix Multiplication |
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| Row Echelon Forms |
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| Week 3 | Linear Systems |
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| Gauss-Jordan Elimination |
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| Nonsingular Matrices |
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| Week 4 | EA=R Factorizations |
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| PA=LU Factorizations |
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| Eigenvalues |
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| Fri 24-Sep | Exam I |
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| Week 5 | Null Spaces |
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| Column Spaces |
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| The Four Fundamental Subspaces |
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| Week 6 | Linear Independence |
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| Bases |
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| Dimension |
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| Week 7 | Orthogonality |
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| Projections |
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| Week 8 | Least Squares |
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| A=QR Factorizations |
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| The Gram-Schmidt Algorithm |
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| Fri 22-Oct | Exam II |
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| Week 9 | Determinants I |
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| Determinants II |
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| Determinants III |
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| Week 10 | Complex Numbers |
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| Polynomial Algebra |
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| The Characteristic Polynomial |
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| Week 11 | Diagonalization |
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| Matrix Exponentials |
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| Week 12 | The Spectral Theorem |
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| Definiteness |
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| Fri 19-Nov | Exam III |
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| Week 13 | Singular Value Decomposition |
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| Week 14 | Partial Derivatives |
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| Week 15 | Linear Approximations |
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| Cholesky Factorizations |
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| The Hessian |
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| Fri 10-Dec | Final Exam |