Class Notes

Date Topic Slides/Class Notes Additional Material
03/30 Introduction Slides 😀
04/02 Dimensional Analysis,
Ch. 1.1
😀 😀
04/04 Dimensional Analysis
Ch. 1.1
Slides Sheet_with_solutions
04/06 Scaling
Ch. 1.2
Slides Python Notebook
04/09 Review of Differential Equations
Ch. 1.3
Slides 😀
04/11 Review of Differential Equations
Ch. 1.3
😀 Sheet_with_solutions
04/13 Stability and Bifurcations
Ch. 1.3
Slides 😀
04/16 Stability and Bifurcations
Ch. 1.3
Slides Python Notebook

04/17*

Phase Plane Phenomena
Ch. 2.1
😀 😀
04/18 Phase Plane Phenomena
Ch. 2.1
Slides 😀
04/20 Linear Systems
Ch. 2.2
Slides 😀
04/23 Nonlinear Systems
Ch. 2.3
Slides Sheet_with_solutions
04/25 Nonlinear Systems
Ch. 2.3
Slides Sample Midterm Exam
Solutions Midterm Exam
Python Notebook
04/27 Bifurcations
Ch. 2.3
Slides 😀
04/30 Epidemics in Populations
Ch. 2.6.3
😀 Python Notebook

05/01*

Research Talk:
N. Malik
😀 😀
05/02 Regular perturbation
Ch. 3.1
Slides Sheet_with_solutions
05/04 Regular perturbation
Ch. 3.1
😀 Python Notebook
05/07 Poincaré-Lindstedt Method
Ch. 3.1.3
Slides 😀
05/09 Asymptotic Analysis
Ch. 3.1.4
Slides 😀
05/11 Asymptotic Analysis
Ch. 3.1.4
😀 Sheet_with_solutions
05/14 Singular Perturbation
Ch. 3.2
😀 😀
05/16 Boundary Layer Analysis
Ch. 3.3
😀 Desmos Link
05/18 Boundary Layer Analysis and Initial Layers
Ch. 3.3
Slides Python Notebook
05/21 WKB Approximation
Ch. 3.4
😀 Sheet_with_solutions

05/22*

WKB Approximation and
Asymptotic expan. of Integrals
Ch. 3.4 - 3.5
Slides 😀
05/23 Asymptotic expan. of Integrals
Ch. 3.5
😀 Sheet_with_solutions
Sample Final Exam
05/30 Revision Slides Midterm Exam
Midterm Exam Solutions