Algebraic OperationsCovers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.
Number Theory: Operations and EquivalenceCovers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Addition of FractionsCovers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.
Logic and Proof TechniquesCovers integers, rationals, logic, proof techniques, functions, and relations using examples and truth tables.
Integers and RingsCovers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Data Abstraction: Rational NumbersCovers data abstraction in rational numbers, including client's view, self-reference, preconditions, assertions, constructors, and end markers.
Relations, Sequences and SummationsCovers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.