MATH 2080

Introduction to Analysis

General information

3 credit hours - Lab required

Course description

Fundamental properties of the real number system as a complete ordered field, Archimedean property, existence of square roots, density of rational numbers, uncountability of real numbers. Sequences, subsequences, limit theorems, monotonicity, Bolzano-Weierstrass theorem, Cauchy sequences. Rigorous treatment of limits and continuity of functions of one and several variables. Uniform continuity. Applications.

Prerequisites

MATH 1232 (C) or MATH 1690 (C) or MATH 1700 (B) or MATH 1701 (B) or MATH 1710 (B); and MATH 1220 (C) or MATH 1300 (B) or MATH 1301 (B); and MATH 1240 (C)

Information for the Fall 2017 term

No lectures and tutorials in the Fall 2017 term OR no information in our database (check Aurora)

Past examinations

News

In an effort to help students, the Math department has put together the LevelUp program. See details here. Video explaining registration process is here.

Events

Tuesday, September 26th, 2017 at 14:40, 418 Machray Hall
R. Padmanabhan
Circle-realizable \( (n_4) \)-configurations
(Seminar series : Rings and Modules)

Tuesday, September 26th, 2017 at 15:00, 205 Armes Building
Ievgen Bilokopytov
Continuity and Holomorphicity of Symbols of Weighted Composition Operators
(Seminar series : Functional Analysis)

Monday, October 2nd, 2017 at 15:00, 415 Machray Hall
Kristin Courtney
TBA
(Seminar series : Functional Analysis)

Friday, November 3rd, 2017 at 08:00, TBA
Steve Reinhardt
TBA
(Seminar series : Colloquium)