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๐Ÿงฎ Mathematics for Engineers

The math that actually matters in software. Not proofs for proofs' sake math that ships.


๐Ÿ“ By Application

For Machine Learning

โ†’ See AI & Deep Learning

Topic Course Link
Linear Algebra MIT 18.06 (Gilbert Strang) MIT OCW
Multivariate Calculus 3Blue1Brown YouTube
Probability & Statistics NPTEL (IIT Kanpur) NPTEL
Optimization Convex Optimization (Stanford) YouTube
Information Theory NPTEL NPTEL

For Computer Science

Topic Course Link
Discrete Mathematics NPTEL (IIT Ropar) NPTEL
Graph Theory NPTEL (IIT Madras) NPTEL
Combinatorics MIT 18.211 MIT OCW
Number Theory NPTEL NPTEL
Automata Theory NPTEL (IIT Kanpur) NPTEL

For Control Systems & Embedded

โ†’ See Embedded Track

Topic Course Link
Signals & Systems MIT 6.003 MIT OCW
Control Theory Steve Brunton (YouTube) YouTube
DSP NPTEL (IIT Madras) NPTEL
Numerical Methods NPTEL (IIT Kharagpur) NPTEL

For Cryptography & Security

Topic Course Link
Cryptography Stanford (Coursera, audit) Coursera
Crypto 101 Free Book crypto101.io
Number Theory for Crypto NPTEL NPTEL

For Graphics & Gaming

โ†’ See Gaming

Topic Course Link
Linear Algebra (geometric) 3Blue1Brown YouTube
Quaternions 3Blue1Brown YouTube
Physics Simulation Ten Minute Physics youtube.com/@TenMinutePhysics

๐ŸŽฅ Visual Math (YouTube Channels)

Channel Focus Link
3Blue1Brown Visual intuition (LA, calculus, neural nets) youtube.com/@3blue1brown
Numberphile Number theory, recreational youtube.com/@numberphile
Mathologer Proofs made visual youtube.com/@Mathologer
StatQuest Statistics & ML (clearly explained) youtube.com/@statquest
Khan Academy Everything from basics khanacademy.org/math
MIT OCW Math Full university courses youtube.com/@mitocw

๐Ÿ“– Books (Free)

Book Topic Link
Linear Algebra Done Right Linear Algebra linear.axler.net
Immersive Linear Algebra Interactive LA immersivemath.com/ila
Probability and Statistics Cookbook Cheat sheet github.com/mavam/stat-cookbook
Calculus Made Easy Classic (1910, still great) calculusmadeeasy.org
Mathematics for Machine Learning LA + Calculus + Prob mml-book.github.io

๐Ÿ““ From Learning Log

Course Platform Link
MIT 18.06 Linear Algebra (Gilbert Strang) โ€“ Full playlist YouTube YouTube Playlist
Foundations of Probability in Python Datacamp Datacamp
Hypothesis Testing in Python Datacamp Datacamp

Cross-references: AI & Deep Learning ยท Embedded Track ยท Gaming ยท HFT