Professor David Catlin
MA34100 Real Analysis

Course Syllabus Fall 2017


Study Guide for Final Exam Now Available



Course Information

Lectures

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
Spring 2017 Exam 1 Answers
Fall 2016 Study Guide
Fall 2016 Exam 1
Fall 2016 Exam 1 Answers

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
Wed09-20 Lecture 13 (section 3.5)
The Cauchy Criterion
Fri09-22 Lecture 14 (section 3.6)
Properly Divergent Sequences
Mon09-25
Exam 1 Review
Fall 2017 Study Guide
Fall 2017 Review (UPDATED)
Tue09-26 Exam 1 6:30-7:45pm, BRNG 2280
Fall 2017 Exam 1 Answers


Wed


09-27


No Class
Fri09-29 Lecture 15 (section 3.7)
Infinite Series
Mon10-02 Lecture 16 (section 4.1)
Limits of Functions
Wed10-04 Lecture 17 (section 4.2)
Limit Theorems
Fri10-06 Lecture 18 (section 4.2 continued)
Limit Theorems
Mon10-09 October Break
Wed10-11 Lecture 19 (section 4.3 + 5.1)
Infinite Limits + Continuous Functions
Fri10-13 Lecture 20 (section 5.2)
Combinations of Continuous Functions
Mon10-16 Lecture 21 (section 5.3) + Quiz 4
Continuous Functions on Intervals
Wed10-18 Lecture 22 (section 5.4)
Uniform Continuity
Fri10-20 Lecture 23 (section 5.4)
Uniform Continuity (Part I updated, Part II)
Mon10-23 Lecture 24 (sections 5.6, 6.1) + Quiz 5
Inverse Functions + the Derivative
Wed10-25 Lecture 25 (section 6.1)
The Derivative
Fri10-27 Lecture 26 (section 6.2)
Mean Value Theorem


Mon10-30 Exam 2 Review
Fall 2017 Study Guide
Tue09-31 Exam 2 6:30-7:45pm, BRNG 2280
Fall 2017 Exam 2 Answers


Wed11-01 Lecture 27 (sections 6.2, 6.3)
Mean Value Theorem (Part II)
+ L'Hospital's Rule
Fri11-03 Lecture 28 (section 6.3)
L'Hospital's Rule (Part II) + Taylor's Theorem
Mon11-06 Class Canceled
Today's class is canceled.
Class will be held on Wednesday as usual.
Wed11-08 Lecture 30 (section 6.4)
Taylor's Theorem (Part II)
Fri11-10 Lecture 31 (section 7.4)
The Darboux Integral
Mon11-13 Lecture 32 (section 7.2 adapted) + Quiz 6
Darboux Integrable Functions
Wed11-15 Lecture 33 (section 7.3)
The Fundamental Theorem
Fri11-17 Lecture 34
The Darboux Integral (updated, expanded)
Mon11-20 Lecture 35 + Quiz 7
Solutions of Differential Equations
Wed11-22 No Class
Fri11-24 Thanksgiving Vacation
Mon11-27 Exam 2 Solutions + Quiz 8
Discussion of Exam 2 Solutions
Wed11-29 Lecture 37
Differential Equations (Part II)
Fri12-01 Lecture 38 (adapted, external source)
Fundamental Theorem of Algebra
Mon12-04 Lecture 39 (external source)
Power Series
Wed12-06 Lecture 40 (external source)
Power Series (Part II)


Fri12-08 Review for Final Exam
Final Exam Study Guide


Thu12-14 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