Math 3001, Analysis 1
Semester 1, 2023-24
Course Lecturer
Dr. Judith Packer, Dept. of Mathematics
Office: Math 227
Email: packer@colorado.edu
URL: http://math.colorado.edu/~packer
Course Syllabus: For course syllabus, complete with list of university policies, click here!
Please note this course also has a website on Canvas, with links to lecture notes, resources, details about Zoom, Netiquette, Proctorio software, etc.
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.
Prerequisite:
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.
Assessment:
- Homework Assignments (20 %) and in-class worksheets (5%) (every week): You will use Canvas to access and upload the homework assignments.
- In-class mid-term exam - Wednesday, October 4, 2023; 9:05 a.m. - 10:00 a.m.: 22.5 %, in class.
- In-class mid-term exam - Wednesday, November 8, 2023; 9:05 a.m. - 10:00 a.m.: 22.5 %, in class.
- In-class final exam - Wednesday, December 20, 2023, 7:30 p.m. – 10:00 p.m. (yes, the very last
exam session) (30 %); note the evening hour.
Lecture Hours and Venue:
MWF 9:05 a.m.-9:55 a.m. in DUAN G2B60.
Office Hours:
MWF 10:10 a.m. -11:10 a.m. in Math 227 or by appointment via Zoom.
Extra slides:
Important University Rules and Regulations:
Click HERE
for all the important university rules and regulations that must be listed on syllabi.
Some Important Names associated with Analysis :
Back to the home page of Judith A. Packer
Last modified August 23, 2023.