MAT157Y5 • Analysis I

Description

A theoretical course in calculus for students with a very serious interest in mathematics; 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. Note: MAT157Y5 will be accepted anywhere where MAT137Y5 is accepted.

Prerequisites
Minimum 70% in Grade 12 Advanced Functions (MHF4U), Minimum 70% in Grade 12 Calculus and Vectors (MCV4U)
Corequisites
MAT102H5 (strongly recommended in the Fall term for students taking MAT157Y5 in their first year)
Exclusions
Distribution Requirement
Science
Total Instructional Hours
72L/48T
Mode of Delivery
In Class
Program Area
Mathematical Sciences