Elementary functions. Limits. Continuity. Differentiation. L’Hôpital’s rules. Indefinite and definite integrals. Improper integrals. Sequences and series, Taylor’s formulae. Introduction to differential equations. Proofs and theory will be emphasized in this course. Strongly recommended for students intending to specialize in mathematics, statistics, physics, or related areas. Precludes additional credit for MATH 1004, MATH 1005, MATH 1007, MATH 1009, and MATH 2007. 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 and MATH 0006 with grades of B/better in each; or equivalents; or permission of the School of Mathematics and Statistics.Lectures three hours a week, tutorial one hour a week.
