Professor David Catlin
MA34100 Real Analysis
Foundations of Analysis

Course Syllabus Spring 2018



Course Information

Lectures

Homework

When MWF 1:30-2:20
Where University (UNIV) 103
Text An Introduction to Real Analysis
(4th Edition)
by Bartle and Sherbert
Syllabus Course policies and content

Professor

Office Math 744
Office Phone 494-1958
Email catlind@purdue.edu
Office Hours Tues 11:30-12:30
  Wed 2:30-3:30
  Thurs 11:30-12:30
  or by appointment

Exams

Exam 1

Day: Monday February 19
Time: 8:00pm to 9:30pm
Room: LILY G126
Exam 1 covers Lecture 1 through Lecture 16
(sections 1.1 through 4.1)
Review Materials:
Review Fall 2017
Review Fall 2016
Exam 1 Fall 2017
Exam 1 Fall 2016
Exam 1 Spring 2017
Exam 1 Solutions Fall 2017
Exam 1 Solutions Fall 2016
Exam 1 Solutions Spring 2017

Exam 2

Day: Thursday April 5
Time: 8:00pm to 9:30pm
Room: LILY G126
UPDATE Exam 2 covers Lecture 17 through Lecture 28
(sections 4.2 through 6.3)
Review Materials:
Some exam problems from previous semesters cover material outside of sections 4.2 through 6.3.
The problems to ignore are marked for each exam.
Exam 2 Fall 2017
Exam 2 Fall 2016 (ignore problem 1)
Exam 2 Spring 2017 (ignore problems 6,7,8,10)
Exam 2 Review Fall 2017





Accomodations for
Students with Disabilities

In this course, accommodations are managed between the instructor, student, and DRC Testing Center.

Students should see this instructor outside class hours as soon as possible -- before or after class or during office hours -- to discuss necessary accommodations.






















































Refresh your browser before clicking on a Lecture.
Lectures are always available online on the day of class.

There will be a quiz every Monday except for the first class
and during exam weeks.
You will get 4 out of 10 points for attending the Monday lecture, taking the quiz, and turning it in.


Mon 01-08 Lecture 1 (section 1.1)
Sets and Functions
Wed 01-10 Lecture 2 (section 1.2)
Mathematical Induction
Fri 01-12 Lecture 3 (section 1.3)
Finite & Infinite Sets
Wed 01-17 Lecture 4 (section 2.1)
Properties of the Real Numbers
Fri 01-19 Lecture 5 (section 2.2)
Absolute Value
Mon 01-22 Lecture 6 (section 2.3) + Quiz1
Completeness Property
Wed 01-24 Lecture 7 (section 2.4)
Applications of Supremum Property
Fri 01-26 Lecture 8 (section 2.5)
Intervals
Mon 01-29 Lecture 9 (section 3.1) + Quiz2
Sequences
Wed 01-31 Lecture 10 (section 3.2)
Limit Theorems
Fri 02-02 Lecture 11 (section 3.3)
Monotone Sequences
Mon 02-05 Lecture 12 (section 3.4) + Quiz3
Bolzano-Weierstrass Theorem
Wed02-07 Lecture 13 (section 3.5)
The Cauchy Criterion
Fri02-09 Lecture 14 (section 3.6)
Properly Divergent Sequences
Mon02-12 Lecture 15 (section 3.7) + Quiz4
Infinite Series
Wed02-14 Lecture 16 (section 4.1)
Limits of Functions


Fri02-16 Exam 1 Review
Exam 1 Study Guide
Mon02-19 Exam 1 Review (cont')


Mon02-19 Exam 1
Time 8:00pm-9:30pm
Location: LILY G126

Wed

02-21

No Class
Fri02-23 Lecture 17 (section 4.2)
Limit Theorems for Functions
Mon02-26 Lecture 18 (section 4.3, 5.1) + Quiz 5
Infinite Limits, Continuous Functions
Wed02-28 Lecture 19 (section 5.2)
Comb. of Continuous Functions
Fri03-02 Lecture 20 (section 5.3)
Cont Functions on Intervals
Mon03-05 Exam 1 Discussion
Solutions Exam 1 + Quiz 6
Wed03-07 Lecture 21
Continuity of the Square Root
Fri03-09 Lecture 22
Present solutions of assorted problems

Mon Fri


03-12 to 03-16 Spring Break

Mon03-19 Lecture 23 (section 5.4)
Uniform Continuity
Wed03-21 Lecture 24 (sections 5.6, 6.1)
Monetone & Inverse Functions + Derivative
Fri03-23 Lecture 25 (section 6.2) + Quiz 7
Quiz is on Friday this week
Mean Value Theorem
Mon03-26 Lecture 26 (section 6.2)
Mean Value Theorem UPDATED
Wed03-28 Lecture 27 (section 6.3)
L'Hospital's Rule (I)
Fri03-30 Lecture 28 (section 6.3) + Quiz 8
Quiz is on Friday this week
L'Hospital's Rule (II)


Mon04-02 Exam 2 Review
(refresh browser before clicking on study guide link)
Exam 2 Study Guide
Wed04-04 Exam 2 Review (cont')


Thu04-05 Exam 2
Time 8:00pm-9:30pm
Location: LILY G126

Fri

04-06

No Class


Mon04-09 Lecture 29 (section 6.4)
Taylor's Theorem (I)
Wed04-11 Lecture 30 (section 7.2 adapted)
The Darboux Integral (I)
Fri04-13 Lecture 31 (section 7.4 adapted)
The Darboux Integral (II)
Mon04-16 Lecture 32 (section 7.3)
The Fundamental Theorem of Calculus (I)
Wed04-18 Lecture 33
Fundamental Theorem of Calculus (II)
+ Complex Numbers

Fri04-20 Lecture 34 No Quiz
The Fundamental Theorem of Algebra



Mon Fri


04-23 to 04-27
Review for Final Exam
















Homework is generally due on Fridays, and will be graded and returned on the following Wednesday. See the course syllabus for policies regarding homework.

Problems are from the course textbook. In the assignemts below, the section number from the text is listed first, followed by the page numbers and problem numbers.

To make it easier for the grader, staple your homework pages together.

Homework for sections covered by Exam 1

Homework #1: Due Friday 01-12-2018
(1.1) pages 10-11: #2, #5a, #14, #16, #24
(1.2) pages 15-16: #1, #6, #10, #15, #18

Homework #2: Due Friday 01-19-2018
(1.3) page 22: #5, #10, #11c
(2.1) pages 30-31: #2, #6, #9, #15, #18

Homework #3: Due Friday 01-26-2018
(2.2) pages 35-36: #1, #6, #9a, #18a
(2.3) pages 39-40: #1, #3, #4, #5a, #5b, #7

Homework #4: Due Friday 02-02-2018
UPDATED
(2.4) pages 44-46: #1,#3, #4, #14, #18, #19
(2.5) pages 52-53: #7, #8, #16, #17
(3.1) page 62: #6c, #6d, #8, #12, #16, #18
(3.2) pages 69-70: #4, #6b, #6d, #7, #12

Homework #5: Due Friday 02-09-2018
(3.3) page 77: #1, #3, #7, #11, #12
(3.4) page 84: #7b, #7d, #9, #12
(3.5) page 91: #5, #8, #9

Homework #6: Due Friday 02-16-2018
(3.6) pages 93-94: #1, #3, #4c, #4d, #10
(3.7) page 101: #6, #11, #12, #13
(4.1) page 110: #7, #11, #15










Homework for sections covered by Exam 2

Homework #7: Due Friday 03-02-2018
UPDATED
(4.2) page 116: #3, #5, #9, #10
(4.3) page 123: #5g, #5h, #9, #11
(5.1) page 129: #6, #7, #11, #12

Homework #8:
UPDATED DUE DATE
Due Monday 03-19-2018
(5.2) pages 133-134: #3, #4, #7, #8, #15
(5.3) pages 140-141: #1, #4, #13, #17, #19

Homework #9: Due Friday 03-23-2018
(5.4) pages 148-149: #2, #3, #5, #9, #11
(5.6) page 160: #1, #4, #5, #12

Homework #10: Due Friday 03-30-2017
(6.1) page 171: #2, #4, #7, #9, #16
(6.2) pages 179-180: #6, #11, #13, #15, #17
(6.3) page 187: #3, #6, #7, #8b, #8c




























Final set of homework problems

Homework #11: Due Friday 04-13-2017
(6.3) page 188: #9a, #9b, #10a, #10c
(6.4) pages 196: #2, #6, #8

Homework #12: Due Wednesday 04-25-2017
NOTE Wednesday Due Date
(6.4) page 197: #9, #14
(7.4) page 233: #3, #7a, #8, #12, #13, #14a, #15
(7.2) pages 215-216: #8, #9, #16
(7.3) page 224: #11, #14