MA341, Section 067: Foundations of Analysis
Spring 2022, Purdue University

Course Description:

An introductory course in rigorous analysis, covering real numbers, sequences, series, continuous functions, differentiation, and Riemann integration.
This corresponds to Chapters 2-6 in the textbook.

Instructor:

Changyou Wang
Department of Mathematics
Purdue University

Contact Information:

Office: MATH 714
Phone number: 4-2719
Email: wang2482@purdue.edu

Lecture Times and Places:

TR 10:30 - 11:45 am, UNIV 303

Office Hours:

MW 2:00--3:15 pm, or by appointment

Textbook: Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) by Walter Rudin

Homework:

Assignment will be collected every Thursday at the beginning of class, starting at the second week. No late homework will be accepted (in principle).
The problem numbers will be posted on this course webpage at least one week priori to the due date.
1. Steps must be shown to explain your answers.
2. Please staple all loose sheets of your homework to prevent 5% penalty.
3. Please resolve any error in the grading within one week after return of it.
4. You are encouraged to discuss the homework problems with your classmates, but all your handed-in homework must be your own work.

Examinations: There will be two midterm exams (evening exams) and one comprehensive final exams (covering all material).
The exact time and place will be specified at least two weeks in advance.

Midterm I : 8-10 pm, Wednesday, 2/16/2022, LILY 3118
Midterm II : 8-10 pm, Wednesday, 3/30/2022, LILY 3118
Final Exam: TBA

Grading Policy:

Homeworks (25%)
Midterm I and II (20% for each)
Final Exam (35%)

You are expected to observe academic honesty to the highest standard.
Any form of cheating will automatically lead to an F grade, plus any other disciplinary action, deemed appropriate.

Problem Numbers of Homework Assignments and Due Dates:
(All homework problems are from the textbook, unless stated otherwise)

Homework 1 (Due January 20, Thursday) :
  • Chapter 1 (pages 21-22): 1, 2, 4, 5, 7
    • Homework 2 (Due January 29, Saturday) : pdf file of HW#2
    Homework 3 (Due February 3, Thursday) :
  • Chapter 2 (pages 43-44): 4, 5, 6, 7, 8, 9, 11
    • Homework 4 (Due February 10, Thursday) :
    • Homework 5 (Due February 17, Thursday) :
    • Homework 6 (Due February 24, Thursday) :
    • Homework 7 (Due March 3, Thursday) :
    • Homework 8 (Due March 10, Thursday) :
    • Homework 9 (Due March 24, Thursday) :
    • Homework 10 (Due March 31, Thursday) :
    • Homework 11 (Due April 7, Thursday) :
    • Homework 12 (Due April 14, Thursday) :
    • Homework 13 (Due April 21, Thursday) :
    • Homework 14 (Due April 28, Thursday) :