Properties of numbers, modular arithmetic, mathematical induction, equivalence relations. Vector spaces, matrix algebra, linear dependence, bases, linear transformations, bilinear and quadratic forms, inner products, eigenvalues, diagonalization. Proofs and theory will be emphasized in this course. Strongly recommended for students intending to specialize in mathematics, statistics, physics, or related areas. Note: MATH 1119 is not an acceptable substitute for half of MATH 1102. Precludes additional credit for MATH 1104, MATH 1107, MATH 1119, MATH 2107. Prerequisite(s): Grade 12 Mathematics: Advanced Functions, and Grade 12 Mathematics: Calculus and Vectors, with grades of at least 75% in each; or MATH 0005, MATH 0006, and MATH 0107 with grades of at least B in each; or equivalents; or permission of the School of Mathematics and Statistics.Lectures three hours a week, tutorial one hour a week.
