Math E-21b Supplements
Multivariable Calculus Notes #1 for vector references
Multivariable Calculus Lecture Notes #2 for dot product, cross product references
Supplement on the dot product and orthogonal projection
Supplement on Representation of Functions in Different Coordinates
Differential Equations Supplement
Supplement on Least Squares in Economics
A caution in applying the Method of Least Squares in regression analysis – Outliers
Optional Notes on Inner Product Spaces and Fourier Series
Supplement on row operations, row spaces, and RREF
A different take on determinants by Sheldon Axler: Down with Determinants!
Supplement on the Hessian matrix and the 2nd derivative test
First order linear systems of differential equations and evolution matrices
Sampler of Phase Plane diagrams for uncoupled, coupled, period, and stable sink linear systems and a nonlinear system
Matrix Methods for Solving Systems of 1st Order Linear Differential Equations
Supplement on 1st order linear systems of differential equations and the use of evolution matrices