MAT157Y1: Analysis I


A theoretical course in calculus; emphasizing proofs and techniques, as well as geometric and physical understanding. Trigonometric identities. Limits and continuity; least upper bounds, intermediate and extreme value theorems. Derivatives, mean value and inverse function theorems. Integrals; fundamental theorem; elementary transcendental functions. Techniques of integration. Taylor's theorem; sequences and series; uniform convergence and power series.


High school level calculus


MAT137Y1, MATA37H3, MAT137Y5, MAT157Y5, MAT197H1, ESC195H1.

Recommended Preparation: 

Students should consider taking the Preparing for University Math Level II in order to prepare in advance for MAT157Y1. Students may also take MAT138H1 concurrently with MAT157Y1. Students will receive credit for both MAT157Y1 and MAT138H1 if MAT138H1 is taken before or along with MAT157Y1.

Distribution Requirements: 
Breadth Requirements: 
The Physical and Mathematical Universes (5)