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Level 1 · Enrolled

Essential & Fundamental Mathematics

Syllabus · 14 units · ~1 month

Every unit this programme teaches, in the order it is taught. Headlines only — the material itself opens once you are enrolled.

  1. Unit 1 Sets, Logic & Notation
  2. Unit 2 Proof & Mathematical Induction
  3. Unit 3 Divisibility, Primes & the Euclidean Algorithm
  4. Unit 4 Modular Arithmetic
  5. Unit 5 Algebra: Manipulation, Equations & Polynomials
  6. Unit 6 Functions, Exponentials & Logarithms
  7. Unit 7 Group Theory (intro)
  8. Unit 8 Rings & Fields (intro)
  9. Unit 9 Vectors & Matrices
  10. Unit 10 Linear Systems & Determinants
  11. Unit 11 Eigenvalues & Eigenvectors
  12. Unit 12 Combinatorics & Counting
  13. Unit 13 Probability
  14. Unit 14 Calculus: Limits, Derivatives, Integrals & Gradients

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