Math 172: Spring 2023
Lecture Notes
Course intro 1/9/23
Review of derivatives 1/11/23
Review of lines, exponentials 1/13/23
Review of integration 1/13/23
Continuous Exponential Growth 1/18/23 - 1/20/23
Discrete Exponential Growth 1/23/23 - 1/25/23
Affine Models 1/27/23
Equilibria and Stability 1/30/23
Logistic Growth Model 2/3/23
The Allee Effect 2/6/23
Matrices 2/15/23
Matrix Multiplication 2/17/23
Modeling Structured Populations 2/20/23 - 2/22/23
Inverse Matrices 2/24/23
Eigenvectors 2/27/23
Dominant Eigenvectors 3/1/23 - 3/3/23
Intro to Competition Models 3/13/23
Stability with the State Space 3/20/23 - 3/22/23
Partial Derivatives and Jacobian 3/24/23
Stability with the Jacobian 3/27/23 - 3/29/23
Predator-Prey Models 3/31/23
Jacobian for Predator-Prey 4/3/23
Mutualism 4/5/23
Modeling Infectious Diseases 4/7/23 - 4/9/23
SI and SIS Models 4/19/23
Homework and Solutions
Homework 2; Solutions Due 1/25/23
Homework 3; Solutions Due 2/1/23
Homework 4; Solutions Due 2/8/23
Homework 5; Solutions Due 2/22/23
Homework 6; Solutions Due 3/1/23
Homework 7; Solutions Due 3/15/23
Homework 8; Solutions Due 3/29/23
Homework 9; Solutions Due 4/5/23
Homework 10; Solutions Due 4/12/23
Homework 11; Solutions Due 4/24/23
Extra Practice