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:

Section 031: TR 9:00 - 10:15am, UNIV 217

Section 052: TR 1:30 - 2:45pm, UNIV 117

Office Hours:

TR 10:30-11:45am, 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 : Mon 02/26, 2018, 8:00pm - 9:30pm, MATH 175 (It covers Chapters 2.1-2.5; and Chapter 3.1-3.7.)

Midterm Exam II : Wed 04/11, 2018, 8:00pm - 9:30pm, LILY G126

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 18) :

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 25) :

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 1) :

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 8) :

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

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

Homework 5 (Due Thursday, February 15) :

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

Homework 6 (Due Thursday, February 22) :

Chapter 3.6: 1, 3, 6, 9

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

Homework 7 (Due Thursday, March 1) :

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

Homework 8 (Due Tuesday, March 20) :

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

Chapter 4.3: 5(a-h), 11

Homework 9 (Due Thursday, March 22) :

Chapter 5.1: 7, 8, 11, 12

Chapter 5.2: 4, 7, 11, 15

Homework 10 (Due Thursday, March 29) :

Chapter 5.3: 1, 6, 8, 13

Chapter 5.4: 2, 6, 11

Homework 11 (Due Thursday, April 5) :

Chapter 5.6: 4, 7, 8, 10

Homework 12 (Due Thursday, April 19) :

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

Homework 13 (Due Thursday, April 26) :

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