Maths (university)
Calculus, linear algebra and proof. 10 parts, 92 concept cards and 100 flashcards. Each card explains one idea in plain English, with an analogy and an example.
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Looking up one word? Maths (university) glossary, A to Z.
- Part 019 concepts
Logic, sets and proof
The language and proof methods every university maths course relies on.
- Part 029 concepts
Limits and continuity
What a function does near a point, and when its graph has no breaks.
- Part 0310 concepts
Differentiation
The derivative: how fast things change, and the rules for finding it.
- Part 049 concepts
Applications of derivatives
Using derivatives to find peaks, best choices, rates and approximations.
- Part 0510 concepts
Integration
Areas, antiderivatives and the link between integrals and derivatives.
- Part 069 concepts
Integration techniques and uses
Harder integrals, volumes, simple differential equations and numerical methods.
- Part 079 concepts
Sequences and series
Adding infinitely many numbers, and when the total settles down.
- Part 089 concepts
Vectors, matrices and linear systems
Arrows, tables of numbers and how to solve several equations at once.
- Part 099 concepts
Determinants, inverses and vector spaces
Inverting matrices and understanding the structure behind linear algebra.
- Part 109 concepts
Eigenvalues and eigenvectors
The special directions a matrix only stretches, and why they matter.