Math 341: Foundations of Analysis

Course Information

Professor: Kiril Datchev
Section 64 Lectures: Tuesdays and Thursdays 10:30 to 11:45 am, in UNIV 117.
Section 61 Lectures: Tuesdays and Thursdays 12:00 to 1:15 pm, in UNIV 117.
Office hours: Tuesdays and Thursdays 1:20 to 1:50 pm, Wednesdays 3:30 to 4:30 pm, or by appointment, in MATH 602.

Textbook: Introduction to Analysis by Arthur Mattuck. The first three chapters and Appendix A are available online. See also some online lists of corrections to the various printings, here, here, and here.

The topics we will cover include real numbers, sequences, series, continuous functions, differentiation, and Riemann integration.

Grading is based on

  • Almost weekly homework assignments, worth 20% of the total grade,
  • Midterm I, on Monday, October 1st, from 8 to 9 pm in MATH 175, worth 20% of the total grade,
  • Midterm II, on Monday, November 5th, from 6:30 to 7:30 pm in MATH 175, worth 20% of the total grade,
  • a final exam, on Friday, December 14th, from 7 to 9 pm in BRNG 2280, worth 40% of the total grade.
  • Homework is due in class on Thursdays, or in MATH 602 by 1:50 pm. It may be handed in up to one week late for half credit. Here are the assignments:

    Homework 1, due August 30th.
    Homework 2, due September 6th.
    Homework 3, due September 13th.
    Class is cancelled on September 18th and Homework 4, due September 27th.
    Midterm 1 review problems.
    Homework 5, due October 11th.
    Homework 6, due October 18th.
    Homework 7, due October 25th. See also this proof of the chain rule, from Rudin's Principles of Mathematical Analysis.
    Homework 8, due November 1st.
    Midterm 2 review problems.
    Homework 9, due November 15th.
    Class is cancelled on November 20th and Homework 10, due November 29th.
    Homework 11, due December 6th.
    Final review problems.

    University Procedures

  • Procedures for students with disabilities requiring classroom or exam accommodations.
  • Emergency preparedness briefing.
  • Honor pledge.