06 · Mathematics category
Use proof, discrete structures, numerical methods, and abstract reasoning in advanced study. Every course in this category is in development.
Recommended learning paths
These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.
Learning path
Use proof-based reasoning to enter discrete, analytical, and abstract mathematical study.
End capabilityUse proof-based reasoning to enter discrete, analytical, and abstract mathematical study.
Logic, Computational & Advanced Mathematics
Every course shows its status clearly. Courses with a live module can be opened to begin learning; the others can be reviewed as development outlines.
5 courses found
Develop the language and habits of mathematical reasoning through sets, logic, quantified statements, and proof techniques.
Explore counting, recursion, relations, graphs, and discrete structures used in computing and modern mathematics.
Use numerical algorithms and optimization methods to approximate solutions, assess error, and make defensible model-based decisions.
Build rigorous foundations of calculus through real numbers, limits, continuity, sequences, series, and proof-based reasoning.
Study algebraic structure through groups, rings, fields, homomorphisms, and proof-driven examples.