Mathematics
A working understanding of mathematics — the universal language scientists, engineers, and quants use to describe the world. The trunk gives you the throughline from how mathematicians think to how math models reality; clusters dive into proof, trig, calculus mechanics, advanced linear algebra, number theory and cryptography, probability, stochastic processes, and the foundational limits of math itself.
14 lessons
What you'll learn
Main Path
The mandatory throughline of this roadmap.
Unit 1
Mathematics
A working understanding of mathematics — the universal language scientists, engineers, and quants use to describe the world. The trunk gives you the throughline from how mathematicians think to how math models reality; clusters dive into proof, trig, calculus mechanics, advanced linear algebra, number theory and cryptography, probability, stochastic processes, and the foundational limits of math itself.
14 lessons
- What Mathematics Actually Is
- Functions — The Universal Object
- Algebra and Symbolic Manipulation
- The Idea of a Limit
- Derivatives — The Rate of Change
- Integrals — Accumulation and the Fundamental Theorem
- Vectors and Linear Maps
- Eigenvalues — Why Linear Algebra Runs Modern AI
- Counting and Combinatorics
- Probability — Reasoning Under Uncertainty
- Statistics — Learning From Data
- Optimization — Choosing the Best Option
- Mathematical Modeling — Turning a Problem Into Math
- Where Math Bites — Paradox, Undecidability, and Limits
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Frequently asked questions
What does the Mathematics roadmap cover?
1 unit: Mathematics.
How do I start the Mathematics roadmap?
Get the Mochivia app on the App Store and open this roadmap there.