Slide Library

Quarto HTML decks for Applied Math Lab

These decks accompany the course sessions and summarize the main definitions, calculations, and modeling workflows used in class. The full mathematical detail remains in the module pages.

Available Decks

Session 1

ODEs in 1D

Solver workflow, SIR, saturation, and bistability.

Session 2

ODEs in 2D

Phase planes, nullclines, limit cycles, and excitable dynamics.

Session 3

Coupled ODEs

Kuramoto synchronization, order parameter, and bifurcation onset.

Session 4

Collective Motion

Vicsek dynamics, order-disorder transitions, and predator extensions.

Session 5

Networks

Graph structure, centrality, spreading, and real datasets.

Session 6

PDEs in 1D

Boundary conditions, vectorized Laplacians, explicit Euler, Turing space, and unstable modes.

Session 7

PDEs in 2D

Rectangular grids, mode pairs, Gierer-Meinhardt in 2D, and the Gray-Scott lab.

Session 10

GitHub Teamwork

Repository setup, branching, pull requests, and issues.

How They Fit into the Course

  • Use each deck as a lecture companion for the main ideas and worked calculations.
  • Consult the matching module pages for derivations, code, and assignments.
  • Read the decks alongside the syllabus so the session order stays clear.