The Binomial TheoremCovers the binomial theorem, Pascal's identity, and triangle with examples and applications.
Functions and IntegersCovers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Probability and StatisticsIntroduces probability, statistics, distributions, inference, likelihood, and combinatorics for studying random events and network modeling.
Integers and RingsCovers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Combinatorial MathematicsExplores combinatorial mathematics, covering permutations, combinations, and binomial coefficients, along with probability and statistics concepts.
Limits and CompositionsExplores limits as x approaches infinity, limit theorems, and function compositions, including trigonometric limits and the binomial theorem.