MAT157Y1: Analysis I

Hours: 
72L/48T

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.

Prerequisite: 

High school level calculus

Exclusion: 

MAT137Y1, MATA37H3, MAT137Y5, MAT195H, & MAT197H

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