These are lecture notes and other items from my Applied Mathematics in Mechanics course, taught by Professor Douglas Holmes at Boston University (ME 712). This is from the Fall 2020 semester.
Topics Include:
- Dimensional Analysis & Scaling
- Perturbation Methods
- Variational Calculus
- Dynamical Systems & Stability (a small crash course)
- Differential Geometry (a small crash course)
Mathematica Notebooks:
- Introduction & Basics - note that I did not create this notebook, Professor Holmes at BU did
- Perturbation Example - note that I did not create this notebook, Professor Holmes at BU did
- More Mathematica notebooks to come!
Literature Reviews:
Final Project:
- Presentation of Approximating the Stance Map fo the SLIP Runner Based on Perturbation Approach
- If the Jupyter Notebook viewer is being weird, a PDF version of the cells as slides can be seen here
- Final Project Paper: Approximating the Stance Map fo the SLIP Runner Based on Perturbation Approach