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 | ☺ |