Tec — The Education Consultancy

Topics covered

• Recall of number sets (naturals, wholes, integers, evens, odds, primes, composites, rationals, irrationals, reals), forms of representation, and types of sets (empty, singleton, finite, infinite, subsets)
• Superset, equivalent sets, equal sets, power set, universal set, disjoint/overlapping/exhaustive sets, and cells
• Operations on sets — union, intersection, difference, complement, and symmetric difference
• Formal proofs of the commutative, associative, and distributive properties of union/intersection, and De Morgan's laws
• Venn diagrams — representing and verifying set operations and properties geometrically
• Ordered pairs, Cartesian products, and binary relations (domain and range)
• Functions — domain, co-domain, range, and types of functions (into, one-one, onto, bijective)