Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Covers the addition of fractions and properties of rational numbers, emphasizing associativity and summing fractions with the same denominator.
Covers the properties of division in integers and the relationship between divisibility and unique quotients.
Covers the basics of group theory, including definitions, examples, and isometries.
Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.
Explores the concept of fractions of rings and their uniqueness in ideals and quotients.
Covers binary representation, two's complement, overflow detection, and operations in MIPS for computer arithmetic with integers.
Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Explains the importance of parentheses in simplifying mathematical operations and notations.
