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 1:30 - 2:45 pm, PHYS 223

Virtual Office Hours:

Wednesday 3:00--5:00 pm, or by appointment

Textbook: Introduction to Real Analysis (4th edition), by Robert G. Bartle

Homework:

Homeworks will be due every Thursday via online submission, starting at the second week. No late homework will be accepted (in principle), but two lowest homework scores will be dropped in the final grading.
The problem numbers will be posted on this course webpage at least one week priori to the due date.

Examinations: There will be two midterms (tentative schedules below) and one comprehensive final exams (covers all the materials).
The exact time and place will be specified at least two weeks in advance.

Midterm I : Tuesday September 22 (time, tba) (It covers Chapters 2.1-2.5; and Chapter 3.1-3.7.)

Midterm II : Tuesday, October 27 (time, tba)

Final Exam: TBA

Grading Policy:

Homeworks (20%)

Midterm I and II (20% for each)

Final Exam (40%)

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 Thursday, September 3) :

Chapter 2.1: 4, 6, 11, 13, 14, 17, 18, 26

Chapter 2.2: 5, 6(b), 11, 12, 18(a)

Homework 2 (Due Thursday, September 10) :

Chapter 2.3: 2, 4, 5, 6, 11

Chapter 2.4: 4, 5, 8, 14

Chapter 2.5: 2, 5, 7, 9, 10

Homework 3 (Due Thursday, September 17) :

Chapter 3.1: 5(d), 8, 10, 12, 14, 16

Chapter 3.2: 1, 2, 5, 6, 9, 10, 23

Homework 4 (Due Thursday, September 24) :

Chapter 3.3: 1, 4, 7, 10, 11, 12

Chapter 3.4: 4, 6, 7, 9, 11, 12, 14

Homework 5 (Due Thursday, October 1) :

Chapter 3.5: 2, 5, 7, 9, 11, 12

Homework 6 (Due Thursday, October 8) :

Chapter 3.6: 1, 3, 6, 9

Chapter 3.7: 3(b), 6, 7, 9(b), 11, 12, 14

Homework 7 (Due Thursday, October 15) :

Chapter 4.1: 3, 5, 10, 12(a), (c)

Homework 8 (Due Tuesday, October 22) :

Chapter 4.2: 3, 10, 11(b)(d), 14

Chapter 4.3: 5(a-h), 11

Homework 9 (Due Thursday, October 29) :

Chapter 5.1: 7, 8, 11, 12

Chapter 5.2: 4, 7, 11, 15

Homework 10 (Due Thursday, November 5) :

Chapter 5.3: 1, 6, 8, 13

Chapter 5.4: 2, 6, 11

Homework 11 (Due Thursday, November 12) :

Chapter 5.6: 4, 7, 8, 10

Homework 12 (Due Thursday, November 19) :

Chapter 6.1: 1, 2, 4, 7, 10, 12, 14

Homework 13 (Due Thursday, December 2) :

Chapter 6.2: 2(a)(c), 3(c) 4, 6, 7, 13, 17

Chapter 6.3: 5, 6(b), 7(b)9d), 9(a), 12