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, MAT136H1, MAT157Y1, MATA35H3, MATA36H3, MATA37H3, MAT135Y5, MAT137Y5, MAT138Y5, MAT187H, MAT196H, MAT197H, ESC194H, ESC195H.

Recommended Preparation: 

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)