Applied Math Lab
Applied Math Lab
Getting Started
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Syllabus
Session 1: ODEs in 1D
SIR Epidemic Model
Michaelis–Menten Kinetics
Spruce Budworm Model
Assignment
Session 2: ODEs in 2D
CDIMA Reaction
Van der Pol Oscillator
FitzHugh–Nagumo Model
Animation Template
Assignment
Session 3: Coupled ODEs
Kuramoto Model
Kuramoto: Oscillators
Kuramoto: Bifurcation Diagram
Kuramoto: Full Simulation
Assignment
Session 4: Collective Motion
Vicsek Model
Vicsek Validation
Vicsek Animation
Vicsek Animation (Interactive)
Couzin Model
Vicsek with Predator
Assignment
Session 5: PDEs
Gierer-Meinhardt 1D
Turing Instability
Assignment
Gierer-Meinhardt 2D
Turing Instability (2D)
Gray-Scott
Gray-Scott: Interaction
Assignment
Session 6: Networks
USA Flights
Enron Email
Assignment
Session 7: Network Dynamics
SIS Model
Daley-Kendall Model
Assignment
Session 8: Cellular Automata
1D Cellular Automata
Assignment
Session 9: Agent Based Modeling
Traffic Models
Extra: Lorenz Attractor
Lorenz Attractor
Assignment
Assignment
Code
To-Do
Source Code
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