Class Notes

Date Topic Slides/Class Notes Additional Material
03/27 Introduction Slides
03/29 Dimensional Analysis,
Ch. 1.1
Slides
03/31 Dimensional Analysis and Scaling
Ch. 1.1-1.2
Slides Sheet_with_solutions
04/03 Scaling
Ch. 1.2
Slides
04/05 Review of Differential Equations
Ch. 1.3
Slides
04/07 Stability and Bifurcations
Ch. 1.3
Slides Sheet_with_solutions
04/10 Stability and Bifurcations
Ch. 1.3
Slides Python Notebook
04/12 Phase Plane Phenomena
Ch. 2.1
Slides
04/12 Linear Systems
Ch. 2.2
04/17 Nonlinear Systems
Ch. 2.3
Slides Python Notebook
04/18 Bifurcations
Ch. 2.4
Slides Sheet_with_solutions
04/21 Bifurcations
Ch. 2.4
Slides Python Notebook
04/24 Epidemics in Populations
Ch. 2.6.3
Python Notebook
Sample Midterm Exam
Solutions Midterm Exam
04/26 Regular perturbation
Ch. 3.1
Slides Python Notebook
Sheet_with_solutions
04/28 Poincaré-Lindstedt Method
Ch. 3.1.3
Slides
05/01 Asymptotic Analysis
Ch. 3.1.4
Slides
05/03 Singular Perturbation
Ch. 3.2
Sheet_with_solutions
05/05 Boundary Layer Analysis
Ch. 3.3
Desmos Link
05/06*
Midterm
25% of total grades

----- Midterm
Solutions
05/8 Boundary Layer Analysis and Initial Layers
Ch. 3.3 - 3.4
Slides
05/10 Initial Layers and WKB Approximation
Ch. 3.4 - 3.5
Python Notebook
05/11*
X-hr
WKB Approximation
Ch. 3.5
Slides
05/12 Asymptotic expan. of Integrals
Ch. 3.6
Slides Sheet_with_solutions
05/15 Boundary Value Problems
Ch. 5.1
Sample Final Exam
05/17 Sturm-Liouville Problems
Ch. 5.2
Slides
05/19
Sturm-Liouville Problems and
Classical Fourier Series
Ch. 5.2-5.3
Extra Problem Sheet
Solutions
05/26
Classical Fourier Series
Ch. 5.3
Slides