# Professor David Catlin MA34100 Real Analysis

## Homework

 When MWF 12:30-1:20 Where Recitation Building 122 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 M,W 2:30-3:30 Th 11:30-12:30 or by appointment

## Exams

### Exam 1 Tuesday September 26

When: 6:30pm - 7:45pm
Where: BRNG 2280
Exam 1 covers Lecture 1 through Lecture 13
(sections 1.1 through 3.5)
Review Materials:
Fall 2017 Study Guide
Fall 2017 Review(UPDATED)
Spring 2017 Exam 1
Fall 2016 Study Guide
Fall 2016 Exam 1

### Exam 2 Tuesday October 31

When: 6:30pm - 7:45pm
Where: BRNG 2280
Exam 2 covers Lecture 14 through Lecture 25
(sections 3.6 though 6.1)
Review Materials:
Exam 2 Study Guide

### Final Exam: Thursday December 14

When: 7:00 - 9:00 PM
Where: SC 239 (Stanley Coulter)
The final exam is comprehensive.
Review Materials:
Final Exam Study Guide

### 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 just for turning the quiz in on Mondays.
 Mon 08-21 Lecture 1 (section 1.1) Sets and Functions Wed 08-23 Lecture 2 (section 1.2) Mathematical Induction Fri 08-25 Lecture 3 (section 1.3) Finite & Infinite Sets Mon 08-28 Lecture 4 (section 2.1) + Quiz 1 Properties of the Real Numbers Wed 08-30 Lecture 5 (section 2.2) Absolute Value Fri 09-01 Lecture 6 (section 2.3) Completeness Property Wed 09-06 Lecture 7 (section 2.4) Applications of Supremum Property Fri 09-08 Lecture 8 (section 2.5) Intervals Mon 09-11 Lecture 9 (section 3.1) + Quiz 2 Sequences Wed 09-13 Lecture 10 (section 3.2) Limit Theorems Fri 09-15 Lecture 11 (section 3.3) Monotone Sequences Mon 09-18 Lecture 12 (section 3.4) + Quiz 3 Bolzano-Weierstrass Theorem Wed 09-20 Lecture 13 (section 3.5) The Cauchy Criterion Fri 09-22 Lecture 14 (section 3.6) Properly Divergent Sequences Mon 09-25 Exam 1 Review Fall 2017 Study Guide Fall 2017 Review (UPDATED) Tue 09-26 Exam 1 6:30-7:45pm, BRNG 2280 Fall 2017 Exam 1 Answers Wed 09-27 No Class Fri 09-29 Lecture 15 (section 3.7) Infinite Series Mon 10-02 Lecture 16 (section 4.1) Limits of Functions Wed 10-04 Lecture 17 (section 4.2) Limit Theorems Fri 10-06 Lecture 18 (section 4.2 continued) Limit Theorems Mon 10-09 October Break Wed 10-11 Lecture 19 (section 4.3 + 5.1) Infinite Limits + Continuous Functions Fri 10-13 Lecture 20 (section 5.2) Combinations of Continuous Functions Mon 10-16 Lecture 21 (section 5.3) + Quiz 4 Continuous Functions on Intervals Wed 10-18 Lecture 22 (section 5.4) Uniform Continuity Fri 10-20 Lecture 23 (section 5.4) Uniform Continuity (Part I updated, Part II) Mon 10-23 Lecture 24 (sections 5.6, 6.1) + Quiz 5 Inverse Functions + the Derivative Wed 10-25 Lecture 25 (section 6.1) The Derivative Fri 10-27 Lecture 26 (section 6.2) Mean Value Theorem Mon 10-30 Exam 2 Review Fall 2017 Study Guide Tue 09-31 Exam 2 6:30-7:45pm, BRNG 2280 Fall 2017 Exam 2 Answers Wed 11-01 Lecture 27 (sections 6.2, 6.3) Mean Value Theorem (Part II) + L'Hospital's Rule Fri 11-03 Lecture 28 (section 6.3) L'Hospital's Rule (Part II) + Taylor's Theorem Mon 11-06 Class Canceled Today's class is canceled. Class will be held on Wednesday as usual. Wed 11-08 Lecture 30 (section 6.4) Taylor's Theorem (Part II) Fri 11-10 Lecture 31 (section 7.4) The Darboux Integral Mon 11-13 Lecture 32 (section 7.2 adapted) + Quiz 6 Darboux Integrable Functions Wed 11-15 Lecture 33 (section 7.3) The Fundamental Theorem Fri 11-17 Lecture 34 The Darboux Integral (updated, expanded) Mon 11-20 Lecture 35 + Quiz 7 Solutions of Differential Equations Wed 11-22 No Class Fri 11-24 Thanksgiving Vacation Mon 11-27 Exam 2 Solutions + Quiz 8 Discussion of Exam 2 Solutions Wed 11-29 Lecture 37 Differential Equations (Part II) Fri 12-01 Lecture 38 (adapted, external source) Fundamental Theorem of Algebra Mon 12-04 Lecture 39 (external source) Power Series Wed 12-06 Lecture 40 (external source) Power Series (Part II) Fri 12-08 Review for Final Exam Final Exam Study Guide Thu 12-14 Final Exam is on Thursday December 14 7:00-9:00 PM Stanley Coulter SC 239
Problems are from the course textbook. Homework is generally due on Fridays, and will be graded and returned on the following Wednesday. See the course syllabus for policies regarding homework.

COURSE POLICY CHANGE: Homework due on Friday that is handed in during the following Monday's class will have only 30% of the score deducted, not 50%.

 Homework problems for sections covered by Exam 1 Homework #1: Due Friday 08-25-2017 pages 10-11: #2, #5a, #14, #16, #24 pages 15-16: #1, #6, #10, #15, #18 Homework #2: Due Friday 09-01-2017 page 22: #5, #10, #11c pages 30-31: #2, #6, #9, #15, #18 pages 35-36: #1, #6, #9a, #18a Homework #3: Due Friday 09-08-2017 pages 39-40: #1, #3, #4, #5a, #5b, #7 pages 44-46: #1,#3, #4, #14, #18, #19 Homework #4: Due Friday 09-15-2017 pages 52-53: #7, #8, #16, #17 page 62: #6c, #6d, #8, #12, #16, #18 pages 69-70: #4, #6b, #6d, #7, #12 Homework #5: Due Friday 09-22-2017 Staple your pages together or points will be taken off page 77: #1, #3, #7, #11, #12 page 84: #7b, #7d, #9, #12 page 91: #5, #8, #9 Homework problems for sections covered by Exam 2 Homework #6: Due Friday 10-06-2017 pages 93-94: #1, #3, #4c, #4d, #10 page 101: #6, #11, #12, #13 page 110: #7, #11, #15 page 116: #3, #5, #9, #10 Homework #7: Due Friday 10-13-2017 Since we did not finish section 4.2 on Wednesday, you can turn in homework for p.116 on 10-13 without losing any points. page 116: #3, #5, #9, #10 page 123: #5g, #5h, #9, #11 page 129: #6, #7, #11, #12 Homework #8: Due Friday 10-20-2017 pages 133-134: #3, #4, #7, #8, #15 pages 140-141: #1, #4, #13, #17, #19 Homework #9: Due Friday 10-27-2017 pages 148-149: #2, #3, #5, #9, #11 page 160: #1, #4, #5, #12 page 171: #2, #4, #7, #9, #16 Final set of homework problems Homework #10: Due Friday 11-03-2017 pages 179-180: #6, #11, #13, #15, #17 pages 187-188: #3, #6, #7, #8b, #8c Homework #11: Due Friday 11-10-2017 pages 187-188: #10c, #10d, #11a, #11b, #12 pages 196-197: #1, #2, #6, #8, #12, #17, #19 Homework #12: Due Friday 11-17-2017 page 233: #3, #4, #13, #15 pages 215-216: #2, #10 page 224: #7, #9, #11, #14 For the problems on pp215-216, substitute "Darboux integrable" for "Riemann integrable" in problem #2 Homework #13: Due Monday 11-20-2017 pages 246-247: #4, #10, #14, #19 There will be no additional homework assignments