How this course works
The chapters and lessons below are the fixed course structure. When you start, LearnLive teaches each lesson interactively and adapts examples, pacing, and questions to you.
Complete syllabus
Every chapter and lesson
- 01
Chapter 1 · 3 lessons
Logic & Proofs
- 1.1
Propositional logic
9 min · Quick check
- 1.2
Predicates & quantifiers
9 min · Quick check
- 1.3
Methods of proof
9 min · Quick check
- 1.1
- 02
Chapter 2 · 3 lessons
Sets, Functions & Relations
- 2.1
Sets
8 min · Quick check
- 2.2
Functions
9 min · Quick check
- 2.3
Relations
8 min · Quick check
- 2.1
- 03
Chapter 3 · 3 lessons
Number Theory
- 3.1
Divisibility & modular arithmetic
9 min · Quick check
- 3.2
Primes & GCD
8 min · Quick check
- 3.3
Applications
8 min · Quick check
- 3.1
- 04
Chapter 4 · 3 lessons
Induction & Recursion
- 4.1
Mathematical induction
9 min · Quick check
- 4.2
Recursive definitions
8 min · Quick check
- 4.3
Recurrence relations
8 min · Quick check
- 4.1
- 05
Chapter 5 · 3 lessons
Counting
- 5.1
The basics of counting
8 min · Quick check
- 5.2
Permutations & combinations
9 min · Quick check
- 5.3
Pigeonhole & binomials
8 min · Quick check
- 5.1
- 06
Chapter 6 · 3 lessons
Graphs & Trees
- 6.1
Graphs
9 min · Quick check
- 6.2
Graph algorithms
9 min · Quick check
- 6.3
Trees
8 min · Quick check
- 6.1