Mathematics And Formal Foundations

CLASSIFICATION

11 tracks / 200 lessons

TRACKS

[DRAFT]

Algorithms, Complexity, and Approximation

Algorithm design, hardness, approximation, and the computational trade-offs that bound what systems can do efficiently.

Deep Dive / 32 lessons

Not published

[DRAFT]

Formal Methods and Verification

Draft track for specification, model checking, proof techniques, and systems verification workflows.

Specialization / 24 lessons

Not published

[DRAFT]

Information Theory, Coding, and Compression

Entropy, channel capacity, coding, compression, and the formal limits of representation and communication.

Deep Dive / 24 lessons

Not published

[DRAFT]

Linear Algebra, Geometry, and Spectral Methods

Vector spaces, matrix decompositions, geometry, and spectral reasoning used across graphics, learning, and systems analysis.

Foundation / 16 lessons

Not published

[DRAFT]

Logic, Automata, and Formal Languages

Formal languages, automata, decidability, and the logical machinery that underpins compilers, verification, and computation theory.

Specialization / 24 lessons

Not published

[DRAFT]

Optimization, Convexity, and Numerical Methods

Objective landscapes, convexity, constrained optimization, and the numerical methods that make large-scale learning and control practical.

Deep Dive / 32 lessons

Not published

[DRAFT]

Probability, Random Processes, and Statistical Thinking

Uncertainty, random variables, stochastic processes, and the statistical habits that underpin modern systems and machine learning.

Foundation / 16 lessons

Not published

[DRAFT]

Abstract Algebra and Structural Thinking

Groups, rings, fields, homomorphisms, invariants, and algebraic structure as reusable ways to see symmetry and constraint.

Foundation / 8 lessons

Not published

[DRAFT]

Computer Science Great Ideas

A fast conceptual tour through computation, representation, algorithms, abstraction, networks, programming languages, and systems as one intellectual tradition.

Foundation / 8 lessons

Not published

[DRAFT]

Mathematical Proof and Problem Solving

Develop mathematical maturity through definitions, examples, proof strategies, counterexamples, invariants, induction, contradiction, and problem taste.

Foundation / 8 lessons

Not published

[DRAFT]

Category Theory and Compositional Thinking

A gentle bridge into objects, morphisms, functors, natural transformations, adjunctions, diagrams, and compositional design intuition.

Foundation / 8 lessons

Not published