Course Description:

An introductory course in rigorous analysis, covering real numbers, sequences, series, continuous functions, differentiation, and Riemann integration.
This corresponds to Chapters 2-7 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 Time and Place:

TR 9:00 - 10:15am, UNIV 317

Office Hours:

TR 10:30-11:30am, or by appointment

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

Homework:

Homeworks 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.

Examinations: There will be two middle term exams (90 minutes evening exams) and one comprehensive final exams (covers all the materials).
The exact time and place will be specified at least two weeks in advance.

Midterm Exam I: Wed. 02/22, 2017, 6:30-7:30 pm, MATH 175: It covers Chapters 2.1-2.5; and Chapter 3.1-3.7.

Midterm Exam II Wed. 4/12, 2017, 6:30-7:30 pm, MATH 175

Final Exam: TBA

Grading Policy:

Homeworks (25%)

Midterm Exam 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 Thursday, January 19) :

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, January 26) :

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, February 2) :

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

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

Homework 4 (Due Thursday, February 9) :

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

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

Homework 5 (Due Thursday, February 16) :

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

Homework 6 (Due Tuesday, February 28) :

Chapter 3.6: 1, 3, 6, 9

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

Homework 7 (Due Thursday, March 2) :

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

Homework 8 (Due Thursday, March 9) :

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

Chapter 4.3: 5(a-h), 11

Homework 9 (Due Thursday, March 23) :

Chapter 5.1: 7, 8, 11, 12

Chapter 5.2: 4, 7, 11, 15

Homework 10 (Due Thursday, March 30) :

Chapter 5.3: 1, 6, 8, 13

Chapter 5.4: 2, 6, 11

Homework 11 (Due Thursday, April 6) :

Chapter 5.6: 4, 7, 8, 10

Homework 12 (Due Thursday, April 20) :

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

Homework 13 (Due Thursday, April 27) :

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