Maths — volume overview
Maths — volume overview
An intensive 30-day sprint through discrete mathematics for CS, condensed from the 90-day curriculum. Pen and paper first — no coding labs.
Baseline
- Pen, paper, and willingness to do proofs
- No programming required (though CS context is provided)
Four stages
| Stage | Days | Focus | Gate |
|---|---|---|---|
| I — Numbers & Algebra | 1–8 | Integers, fractions, bases, exponents, algebra, functions, summation | Gate I (Day 4), Gate II (Day 8) |
| II — Logic & Structures | 9–15 | Propositional/predicate logic, proofs, induction, sets, relations | Gate III (Day 12), Gate IV (Day 15) |
| III — Counting & Graphs | 16–22 | Combinatorics, recurrences, graph theory | Gate V (Day 20), Gate VI (Day 24) |
| IV — Applied & Capstone | 23–30 | Number theory, crypto math, asymptotics, probability, capstone dossier | Gate VII (Day 27), Capstone (Day 30) |
Exit criteria
- Number sense and algebra fluency
- Ability to write and verify proofs (direct, contradiction, induction)
- Combinatorics and graph theory competence
- Mathematical dossier demonstrating integrated understanding