# Professor David Catlin MA34100 Real Analysis Foundations of Analysis

## 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

### Final Exam

Day: Wednesday May 2
Time: 8:00am to 10:00am
Room: MTHW 304
Final Exam is comprehensive
Covers Lecture 1 through Lecture 35

Review Materials:
See Lectures column for Study Guides

### 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 Wed 02-07 Lecture 13 (section 3.5) The Cauchy Criterion Fri 02-09 Lecture 14 (section 3.6) Properly Divergent Sequences Mon 02-12 Lecture 15 (section 3.7) + Quiz4 Infinite Series Wed 02-14 Lecture 16 (section 4.1) Limits of Functions Fri 02-16 Exam 1 Review Exam 1 Study Guide Mon 02-19 Exam 1 Review (cont') Mon 02-19 Exam 1 Time 8:00pm-9:30pm Location: LILY G126 Wed 02-21 No Class Fri 02-23 Lecture 17 (section 4.2) Limit Theorems for Functions Mon 02-26 Lecture 18 (section 4.3, 5.1) + Quiz 5 Infinite Limits, Continuous Functions Wed 02-28 Lecture 19 (section 5.2) Comb. of Continuous Functions Fri 03-02 Lecture 20 (section 5.3) Cont Functions on Intervals Mon 03-05 Exam 1 Discussion Solutions Exam 1 + Quiz 6 Wed 03-07 Lecture 21 Continuity of the Square Root Fri 03-09 Lecture 22 Present solutions of assorted problems Mon Fri 03-12 to 03-16 Spring Break Mon 03-19 Lecture 23 (section 5.4) Uniform Continuity Wed 03-21 Lecture 24 (sections 5.6, 6.1) Monetone & Inverse Functions + Derivative Fri 03-23 Lecture 25 (section 6.2) + Quiz 7 Quiz is on Friday this week Mean Value Theorem Mon 03-26 Lecture 26 (section 6.2) Mean Value Theorem UPDATED Wed 03-28 Lecture 27 (section 6.3) L'Hospital's Rule (I) Fri 03-30 Lecture 28 (section 6.3) + Quiz 8 Quiz is on Friday this week L'Hospital's Rule (II) Mon 04-02 Exam 2 Review (refresh browser before clicking on study guide link) Exam 2 Study Guide Wed 04-04 Exam 2 Review (cont') Thu 04-05 Exam 2 Time 8:00pm-9:30pm Location: LILY G126 Fri 04-06 No Class Mon 04-09 Lecture 29 (section 6.4) Taylor's Theorem (I) Wed 04-11 Lecture 30 (section 7.2 adapted) The Darboux Integral (I) Fri 04-13 Lecture 31 (section 7.4 adapted) The Darboux Integral (II) Mon 04-16 Lecture 32 (section 7.3) The Fundamental Theorem of Calculus (I) Wed 04-18 Lecture 33 Fundamental Theorem of Calculus (II) + Complex Numbers Fri 04-20 Lecture 34 No Quiz The Fundamental Theorem of Algebra Mon 04-23 Lecture 35 (Part 1) Lecture 35 (Part 2) The Fundamental Theorem of Calculus (I) and (II) Wed Fri 04-25 to 04-27 Review for Final Exam The Final Exam is Wed May 02 8:00am-10:00am MTHW 304 Study Guide 1 with Theorems Study Guide 2 (ignore #6, #24) You will need to be able to state and prove: The Fundamental Theorem of Calculus (7.3.5 p219)
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