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Julia: Introductions and Philosophy: TED Talk: - A Programming Language To Heal The Planet Together: Julia by Alan Edelman Julia coauthor Introduction to Julia for Pythonistas - by John Pearson Getting Started With Julia Julia Playlist at YouTube TIOBE Index - Julia at # 36 as of November 2021 Programming for Mathematical Applications - uses Julia (by Per-Olof Persson and Robert Sweeney Blanco) Julia References: The Julia Language - home download Julia here Julia Documnetation Julia Cheatsheet - The Fast Track to Julia MATLAB-Julia-Python Cheatsheet - quantecon.org Julia Unicode Characters - for backslash tab completion Named Colors in Julia Julia Packages (roughly in order used in MIT Computational Thinking course): JuliaPackages.com - bills itself as a "one-stop-shop" InteractiveUtils - loaded automatically in "interactive mode" i.e. CLI Command Line (CLI) Options ------------------------------------------------------------- PlutoUI i.e. "User Interface" (see main Pluto topic below) --------------------------Plots------------------------------- Plots - at JuliaPlots.org Plots Tutorial - at JuliaPlots.org Plots Gallery - modeled after Matlab plot gallery PlotsJL Cheatsheet - at github MakiePlots LightGraphs GraphPlot -------------------------Images------------------------------ ImageMagick ImageFiltering - blur, sharp, etc., plus non-linear filters ImageIO ImageShow Colors ColorVectorSpace ColorSchemes ------------------------Utilities------------------------------ FileIO HypertextLiteral LaTeXStrings BenchmarkTools Pringf - print formatting, standard library CSV -----------------------Linear Algebra-------------------------- LinearAlgebra - packaged addon, i.e. added library Built-in Matrix Factorizations (decompositions) - list Singular Value Decomposition (SVD) - wiki ~ more OffsetArrays - change indices StaticArrays MappedArrays Sparse Matrices: SparseArrays - built-in Sparse Matrices in Julia - rsweeney GLM - linear models and generalized linear models ----------------------Statistics------------ --------------- Statistics Distributions StatsBase Dataframes - documentation ------------------------Math-------------------------------- Symbolics Calculus ForwardDiff DifferentialEquations - tutorial ModelingToolkit - ODE modeling tutorial Unitful NonlinearSolve SpecialFunctions - inc. Bessel, exp, trig., Airy, gamma... Roots Optimization: Optim - documentation JuMP - documentation Ipopt - non-linear solver (ref.: JuMP) Pluto: Basic Commands in Pluto - github wiki JuliaCon 2020: Pluto Interactive Notebooks - by Pluto author Fons van der Plas JuliaCon2021: Pluto — One Year Later - by Fons van der Plas Pluto at Binder - Pluto in the Cloud PlutoUI at JuliaHub - inc. slider examples, etc. PlutoUI Video by JCharisTech - tutorial for PlutoUI package Julia at MIT: Intro. to Computational Thinking - Spring 2021 (this course doesn't show up in MIT's search box??I started the Fall 2020 course) (this course uses Pluto! Explains the different format. I am going to try switching to this one.) (Grant's video is still in Lesson 1.1, the web cam code works too.) Intro. to Computational Thinking - Fall 2020 MIT-created programming language Julia 1.0 debuts Discord Channel (register for a Discord account, search for MIT course, use the browser based Discord) Julia Videos: "Why Julia?" - A high level description of features/benefits of Julia by Tim Holy Oct 5, 2021 MATH2021 HKUST Linear Algebra Course With Julia: Syllabus Hong Kong University of Science and Technology (HKUST) Assistant Professor Eric Marberg Pluto Notebooks (in Julia): Introduction, linear systems, row operations [Pluto link] Echelon form, row reduction, solving linear systems [Pluto link] Vectors and linear combinations [Pluto link] Preview of matrix multiplication [Pluto link] Linear transformations, onto and one-to-one functions [Pluto link] Matrix multiplication and random walks [Pluto link] Geometry of invertible matrices [Pluto link] Determinants as signed volumes [Pluto link] Signs of determinants [Pluto link] Eigenvectors for the Fourier transform [Pluto link] Computing eigenvalues numerically [Pluto link] Fundamental theorem of algebra [Pluto link] Some spectral graph theory [Pluto link] Random orthogonal matrices [Pluto link] Random symmetric matrices [Pluto link] Polynomial interpolation [Pluto link] Applications of SVDs [Pluto link] Recommended Textbook: "Linear Algebra and its Applications", 5th edition by D. Lay, S. Lay, and J. McDonald - ISBN: 978-0321982384 Fundamantala of Numerical Computing: Textbook: "Fundamentals of Numerical Computation" by Tobin A. Driscoll and Richard J. Braun ISBN: 978-1611975079 Chapters 1-6 Converted to Julia Julia Projects and Examples: Analyze Your Health and Fitness Data using Julia