MATH 3001, Analysis I, Spring 2021

Instructor:

Dr. Markus Pflaum

Course Contents:

Acquaints students with calculus of one variable. Topics include the real number system, continuity, differentiation, sequences, convergence, uniform convergence, Taylor's theorem, and integration.

Syllabus

Lecture Hours and Venue:

MWF 12:40 p.m. - 1:30 p.m., KOBL 123.

Office Hours:

Mon. 1:30 p.m. - 2:30 p.m., Fr. 1:30 p.m. - 2:30 p.m., and by appointment

Homework:

Homework assignments will be given on the course homepage on a bi-weekly basis. Homework is due at the beginning of each class on the second Friday following the assignment. It is the student's responsibility to get these assignments in the event of an absence from class. Homework will be graded. Late turn-ins will not be accepted. Show all your work.

Homework   Due Date    Homework   Due Date    Homework   Due Date   
Set 1 02/01/2021 Set 2 02/12/2021 Set 3 03/01/2021
Set 4 03/15/2021 Set 5 Set 6
Set 7 Set 8

Exams:

Midterm exam: Wednesday, March 17th, in class.
Final exam: May 3rd, 1:30 p.m. - 4:00 p.m.

Course Grading:

Your grade will be determined from the graded homework (50%), the midterm (20%), and the final exam (30%).

Textbooks:

Stephen Abbot, Understanding Analysis, Springer.
Maxwell Rosenlicht, Introduction to Analysis, Dover Books (alternatively).
Elliot Mendelson, Number Systems and the Foundations of Analysis, Dover Books (additional text on the foundations of Analysis).

Online Resources:

The CRing Project
Short Notes in Mathematics by M.J. Pflaum
Construction of Number Systems by N.M. Kumar

Last modified: Tue, January 12, 2021