Course Materials | Introduction to Computational Thinking | Mathematics

To complete the course, you will first need to install Julia and Pluto on your computer.

The videos linked below are also available in the form of a YouTube playlist.

All of the Pluto notebook files for lecture sessions and homework are also available on the original GitHub site developed for the course.

Lectures	YouTube videos	notebooks
1. Images and Abstraction	Working with images in Julia First taste of abstraction with arrays Basics of arrays in Julia TEDx talk: A programming language to heal the planet together	Images - intro (.jl)
2. Convolutions in Image Processing	Convolutions in image processing	Convolutions (.jl)
3. Dynamic Programming, Views, and GPUs	Seam carving Arrays: Slices and views Convolutions on GPUs Image seam reminiscing Convolutions in the real world	Seam carving (.jl) Arrays: Slices and views (.jl) Sobel gradient (.jl)
4. Seam Carving Live Coding Session	Seam carving live coding session
5. Structure and Dispatch	Structure Defining new types Functions and types: Multiple dispatch Introduction to macros Environments for programming with Julia	Structure (.jl) Defining types (.jl) Intro to macros (.jl)
6. Understanding Structure in Data	Understanding structure in data	Structure in data (.jl)
7. Introspection and Covid Data Visualization	Introspection Analysing Covid-19 data Introduction to DataFrames Functions are objects	Introspection (.jl) Covid data (.jl) Functions are objects (.jl)
8. Probability via Computation	Probability via computation	Probability (.jl)
9. Computational Thinking, Graphs Are Matrices, and The Expression Problem	Computational thinking illustrated Graphs are matrices Verbs and nouns in Julia	Birthday problem (.jl) Graphs and matrices (.jl) Verbs and nouns (.jl)
10. Graphs, Trees, and Spreading Disease	Graphs, trees, and spreading disease
11. Epidemic Modeling and Documenting Code	Reflections on an epidemic video Everybody talks about R0 Writing self-documenting code Verbs and nouns II: Parametric types and abstract types
12. Macroscopic Models of Epidemic Dynamics	Macroscopic models of epidemic dynamics	Macroscopic SIR (.jl)
13. Graphs and Network Dynamics	Graphs and network dynamics
14. Raytracing, Your Own Parallelism, and Abstract Arrays	Raytracing in 2D Parallel computing on your own machine What is an array, really? Abstract arrays	Birthday (.jl) What is an array? (.jl)
15. Billiard Models and Event-Driven Simulations	Billiard models and event-driven simulations
16. Raytracing in 3D	Raytracing in 3D Resistors, equilibrium, and Poisson's equation
17. Raytracing Live-Coding	[video not available]
18. Hierarchical Thinking, Greedy Algorithms, Jacobi's Method, and Multigrid	Hierarchical thinking Iterative numerical schemes for Poisson and Laplace Multigrid	Iterative Laplace solver (.jl)
19. Floating-Point Arithmetic	Floating-point arithmetic	Floating-point arithmetic (.jl)
20. Introduction to Climate Modeling, Nonlinear Dynamics, and Stability	Introduction to climate modeling Nonlinear dynamics: Stability and bifurcations	Energy balance model (.jl) Multiple equilibria (.jl) Nonlinear dynamics - bifurcations (.jl)
21. Nonlinear Climate Dynamics and Snowball Earth	Nonlinear climate dynamics and Snowball Earth
22. Diffusion Equation and Time and Space Evolution	The diffusion equation Evolution in time and space: Advection and diffusion in 1D Stencils and boundary conditions	Advection-diffusion (.jl) Advection-diffusion 1D (.jl) Advection-diffusion 3 (.jl) Stencils and boundary conditions (.jl)
23. Heat Transfer by Ocean Currents	Ocean currents as two-dimensional advection diffusion	Ocean heat transport (.jl)
24. Ocean Modeling and Generic Programming	Building an ocean model from scratch Fluid dynamics with Oceananigans.jl Why you don't game on supercomputers Generic programming	Generic programming (.jl)
25. An Overview of Modern Climate Modeling	An overview of modern climate modeling
26. Discrete Fourier Transform	What is a discrete Fourier transform? Closing remarks	Discrete Fourier transform (.jl)

Code content is licensed under the MIT license.

Text content is licensed under the CC BY-SA license.