MATH 102: Applied Linear Algebra
Winter quarter, 2017

Schedule of Lectures

Days/Dates Lectures Sections Topics Covered
Monday 1/9 1 1.2 & 1.3   Geometry of linear equations, elementary row reduction, elementary matrix.
Wednesday 1/11 2 1.4 & 1.5   Matrix multiplication. Triangular factorization.
Friday 1/13 3 1.6   Matrix inverses and transposes
Monday 1/16   Martin Luther King Jr. Day - UCSD holiday
Wednesday 1/18 4 2.1   Vector spaces and subspaces
Friday 1/20 5 2.2   Solving A x = 0 and Ax = b
Monday 1/23 6 2.3   Linear dependence, basis, and dimension
Wednesday 1/25 7 2.4   The four fundamental subspaces
Friday 1/27 8 2.6   Linear Transformations
Monday 1/30 9 3.1   Orthogonal vectors and subspaces
Wednesday 2/1 10 3.2   Cosines and projections onto lines
Friday 2/3 11 3.3   Projections and least squares
Monday 2/6 12 3.4   Orthogonal bases and Gram-Schmidt orthogonalization process
Wednesday 2/8   Review    
Friday 2/10   Midterm Exam    
Monday 2/13 13 4.2   Properties of the determinant
Wednesday 2/15 14 4.3   Formulas for the determinant
Friday 2/17 15 4.4   Applications of determinants
Monday 2/20   Presidents' Day Holiday - UCSD holiday
Wednesday 2/22 16 5.1   Introduction to eigenvalues and eigenvectors
Friday 2/24 17 5.2   Diagonalization of a matrix
Monday 2/27 18 5.3   Difference equations and powers Ak
Wednesday 3/1 19 5.4   Differetial equations and eAt
Friday 3/3 20 5.5   Complex matrices
Monday 3/6 21 5.6   Similarity transformations
Wednesday 3/8 22 6.1   Quadratic functions. Minima, maxima, and saddle points.
Friday 3/10 23 6.2   Symmetric positive definite matrices
Monday 3/13 24 6.3   Singular value decomposition
Wednesday 3/15 25 6.4   Minimum principles
Friday 3/17   Review    
  Final Exam: 3:00 pm - 5:59 pm, Wednesday, March 22, 2017.

Last updated by Bo Li on January 9, 2017.