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 |