Math 3001, Analysis 1

Semester 2, 2019-20

Course Lecturer

Dr. Judith Packer, Dept. of Mathematics

Tel: (303) 492-6979
Office: Math 227

Course Syllabus: For course syllabus, complete with list of university policies, click here!

LaTeX: Here is a link to information about the mathematical typewriting software LaTeX. This site has links to download sites, including here .

Course Information:
This course is meant to familiarize the student with the rigorous theory behind the study of functions of a single real variable, and goes over the proofs of some of the major results used in calculus. Topics to be covered include: the topology and order structure of the real line; sequences of real numbers and limits of sequences; functions of a real variable: limits of functions at a point, continuous functions and their properties -- Intermediate Value Theorem , uniform continuity; the derivative of a function at a point and differentiability, the Mean Value Theorem, and Taylor's Theorem; the Riemann integral and its properties, and the Fundamental Theorem of Calculus; and if time permits, a brief overview of series of real numbers and power series expansions.

Math 2001 or the equivalent.

Course Text:
We will use the text "Analysis, With an Introduction to Proof", S.R. Lay, Pearson - Prentice Hall, 2014, 5th edition. After a quick review of Chapters 1 and 2, we will cover most of Chapters 3--7, and part of Chapter 8.

Assessment: Lecture Hours and Venue:
MWF 10 a.m.-10:50 a.m. ECCR 110.

Office Hours:
MWF 11 a.m. - 12 noon, and by appointment.

Extra slides:

Some Important Names associated with Analysis :

Back to the home page of Judith A. Packer
Last modified December 18, 2019.