Math 218: Matrices and Vectors

Welcome! You have found the homepage of the Spring 2024 manifestation of Math 218.

Schedule

Quizzes and problem sets are distributed through gradescope.

Timeframe	Topic	Resources
Week 0	Welcome!
Week 1	Matrices and Vectors
	Adjectives ⟵ complete at home! (w/quiz but no pset)
	Matrix-Vector Products
Week 2	Digraphs
	Vector Geometry
Week 3	Matrix Multiplication
	Row Echelon Forms
	Linear Systems
Week 4	Gauss-Jordan Elimination
	Nonsingular Matrices
	EA=R Factorizations
Week 5	PA=LU Factorizations
	Eigenvalues
	Null Spaces
Fri 16-Feb	Exam I ⟵ covers weeks 1-5
Week 6	Column Spaces
	The Four Fundamental Subspaces
Week 7	Linear Independence
	Bases
	Dimension
Week 8	Orthogonality
	Projections
	Least Squares
Week 9	A=QR Factorizations
	The Gram-Schmidt Algorithm
	Determinants I
Fri 22-Mar	Exam II ⟵ covers weeks 6-9
Week 10	Determinants II
	Complex Numbers
Week 11	Polynomial Algebra
	The Characteristic Polynomial
	Diagonalization
Week 12	Matrix Exponentials
	The Spectral Theorem
Week 13	Definiteness
	Singular Value Decomposition
Fri 19-Apr	Exam III ⟵ covers weeks 10-13
Week 14	Partial Derivatives ⟵ (w/quiz but no pset)
	Linear Approximations ⟵ pset not collected!
Week 15	Cholesky Factorizations ⟵ pset not collected!
	The Hessian ⟵ pset not collected!
Fri 03-May	Final Exam ⟵ click for info! (covers everything)