Instructors: Ahmad Reza Haj Saeedi Sadegh, Lily McBeath
Course on canvas.dartmouth.edu.⇗
Syllabus
Linear_Algebra_Math_22_Syllabus.pdf
Week 9
7.4 - Singular Value Decomposition
7.5 - Principal Component Analysis
JPEG Compression Algorithm
Week 8
64 & 7.1 - Gram-Schmidt Process & Symmetric Matrices - Nov. 4
7.1 - Symmetric Matrices - Nov. 5
4.9 & 5.8 - Markov Chains - Nov. 6
10.1 & 10.2 - Application: Markov Chain and Google's Page Rank - Nov. 8
Week 7 - Oct. 28 - Nov. 1
Discussion 7 - Linear Algebra Goes to the Olympics
Nov 1
6.1 & 6.2 - Inner Product and Orthogonality
6.3 - Projections
6.4 - Gram-Schmidt Process
Week 6 - Oct. 21-25
Discussion 6 - Change of Basis
5.1 & 5.2 - Eigenvalues, Eigenvectors, and Characteristic Polynomials
5.2 & 5.3 - Characteristic Polynomial and Diagonalization
5.3 & 5.4 - Eigenvectors and Transformations
Week 5 - Oct. 14-18
Discussion 5 - Basis, Dimension, and Well-Being
4.4 & 5.4 & 4.7 - Matrix of a Transformation, Change of Coordinates Matrix - Oct 14
4.7 - Change of Coordinates Matrix and Composition of Linear Transformations - Oct. 16
3.1 & 3.2 - Determinants and properties of determinants - Oct. 18
Week 4 - Oct. 7-11
Discussion 4 - Feature Verctors
2.2 & 2.3 - Invertible Matrices - Oct. 7
4.3 - Bases - Oct. 9
2.9 & 4.4 - Coordinates, Dimesnions, and Rank - Oct. 11
Week 3 - Sept. 30-Oct. 4
Discussion 3 - Linear and Nonlinear Functions
4.2 & 1.9 - Kernel and Range of Linear Transformations - Sept. 30
1.9 & 2.1 - Injectivity & Surjectivity - Oct. 2
2.2 - Inverse of Matrices - Oct. 4
Week 2 - Sept. 23-27
Discussion 2 - Graphs and Matrices - Sept. 23-27
1.4 & 1.5 - Matrix Equations and Solutions Sets - Sept. 23
1.7 - Linear Independence - Sept. 25
4.1 & 4.2 - Vector Spaces and Linear Transformation - Sept. 27
Week 1 - Sept 16-20
Discussion 1 - Powers, Exponentials, and Logarithm of Matrices - Sep. 16-20
1.1 - Systems of Linear Equations - Sep. 16
1.2 - Row Reduction and Echelon Form - Sep. 18
1.3 & 1.4 - Vector and Matrix Equations - Sep. 20