MAT137Y1: Calculus with Proofs

Hours

72L/24T

A conceptual approach for students with a serious interest in mathematics. Attention is given to computational aspects as well as theoretical foundations and problem solving techniques. Review of Trigonometry. Limits and continuity, mean value theorem, inverse function theorem, differentiation, integration, fundamental theorem of calculus, elementary transcendental functions, Taylor's theorem, sequence and series, power series. Applications.

Prerequisite
High school level calculus
Exclusion
MAT135H1, MAT135H5, MAT136H1, MAT136H5, MAT157Y1, MATA35H3, MATA36H3, MATA37H3, MAT135Y5, MAT137Y5, MAT138Y5, MAT187H, MAT196H, MAT197H, ESC194H, ESC195H. Students will receive credit for both MAT137Y1 and MAT138H1 if MAT138H1 is taken before or along with MAT137Y1.
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)