This is a first-year Algebra course centred on proof, the defining property of Mathematics, thus facilitating the transition from high school math to Honours Mathematics programs. The course provides an introduction to the language of mathematics and proof techniques through a study of the basic algebraic systems of mathematics: the integers, the integers modulo n, the rational numbers, the real numbers, the complex numbers and polynomials.

Topics Include

  • Complex Numbers
  • Congruence and Modular Arithmetic
  • Language of Mathematics
  • Linear Diophantine Equations
  • Logical Analysis of Mathematical Statements
  • Mathematical Induction
  • Polynomials
  • Proving Mathematical Statements
  • Sets
  • The Greatest Common Divisor
  • The RSA Public-Key Encryption Scheme

Course Structure


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