Math 172: Spring 2023

Course Organization

• Syllabus

• Schedule

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

• Stability for Discrete Logistic Growth 2/13/23

• 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

Homework and Solutions

• Homework 1 Due 1/18/23

  • • Part A

    • Part B

    • Solutions

• Homework 2 Due 1/25/23

  • • Solutions

• Homework 3 Due 2/1/23

  • • Solutions

• Homework 4 Due 2/8/23

  • • Solutions

• Homework 5 Due 2/22/23

  • • Solutions

• Homework 6 Due 3/1/23

  • • Solutions

• Homework 7 Due 3/15/23

  • • Solutions

• Homework 8 Due 3/29/23

Extra Practice

• Practice Problems for Exam 1 Optional

• Practice Problems for Exam 2 Optional

Quizzes and Solutions

• Quiz 1

  • • Solutions

• Quiz 2

  • • Solutions

• Quiz 3

  • • Solutions

• Quiz 4

  • • Solutions

• Quiz 5

  • • Solutions

• Quiz 6

  • • Solutions

• Quiz 7

  • • Solutions

Exams and Solutions

• Exam 1

  • • Solutions

• Exam 2

  • • Solutions

Extra Tools

• App to Sketch Curves in State Space