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, MAT157Y5, MAT197H1, ESC195H1.
Distribution Requirements
Science
Breadth Requirements
The Physical and Mathematical Universes (5)