Professor Dave Catlin
MA34100 Real Analysis



STUDY GUIDE
FOR FINAL EXAM
(problem 15 updated)

Final Exam Study Guide


FINAL EXAM
Location: University 103
Time: 7:00 - 9:00 PM













Exams

Exam 2: Wednesday 11-02-2016
8:00pm in REC 108
Note date change and room change
The exam covers section 3.7, all of chapters 4 and 5.

Proofs that you must memorize are
  • Boundedness Theorem, p.135
  • Maximum-Minimum Theorem,
    see Lecture 19 from bottom of p.14 through p.20
  • Location of Roots Theorem, p. 137
  • Uniform Continuity Theorem, p. 145
Review problems for Exam 2:
Section 4.1, page 110. #7, #8, #9a, #10
Sectiom 4.2, page 116. #2d, #5, #11
Section 4.3, page 123. #5a, #5g, #11
Section 5.1, page 129. #5, #6, #12
Section 5.2, pages 133-134. #1a, #1b, #7
Section 5.3, page 140. #1, #5, #8, #13
Section 5.4, page 148. #1, #5, #6, #9, #11



Exam 1: Thursday 09-29-2016
8:00pm in REC 302
Exam 1 Study Guide
Exam 1
Exam 1 Answers



Class Information

When MWF 10:30-11:20
Where REC 302
Text An Introduction to Real Analysis (4th Edition) by Bartle and Sherbert


Professor Information

Office Math 744
Office Phone 494-1958
Email catlind@purdue.edu
Office Hours M 1:30-2:30
  T 1:30-2:30
  Th 9:30-10:30
  or by appointment

Lectures

Refresh your browser before clicking on a Lecture

Mon 08-22-2016 Lecture 1
Preliminaries
Wed 08-24-2016 Lecture 2
Mathematical Induction
Fri 08-26-2016 Lecture 3
Finite and Infinite Sets
Mon 08-29-2016 Lecture 4
Properties of the Real Numbers
Wed 08-31-2016 Lecture 5
Absolute Value
Fri 09-01-2016 Lecture 6
Completeness Property
Wed 09-07-2016 Lecture 7
Completeness Property II
Fri 09-09-2016 Lecture 8
Sequences
Mon 09-12-2016 Lecture 9
Limit Laws
Wed 09-14-2016 Lecture 10
Monotone Sequences
Fri 09-16-2016 Lecture 11
Bolzano-Weierstrass Theorem
Mon 09-19-2016 Lecture 12
The Cauchy Criterion
Wed 09-21-2016 Lecture 13
Properly Divergent Sequences
Fri 09-23-2016 Lecture 14
Infinite Series
Mon 10-03-2016 Lecture 15
Limits of Functions
Wed 10-05-2016 Lecture 16
Limit Theorems
Fri 10-07-2016 Lecture 17
Some Extensions of the Limit Concept
Wed 10-12-2016 Lecture 18
Combinations of Continuous Functions
Fri 10-14-2016 Lecture 19
Continuous Functions on Intervals
Mon 10-17-2016 Lecture 20
Uniform Continuity
Wed 10-19-2016 Lecture 21
Uniform Continuity (cont'd)
Fri 10-21-2016 Lecture 22
Continuous Inverse Functions
Mon 10-24-2016 Lecture 23
Mean Value Theorem
Wed 10-26-2016 Lecture 24
L'Hopital's Rule
Wed 11-02-2016 Lecture 25
Taylor Series
Fri 11-04-2016 Lecture 26
Riemann Integral I
Mon 11-07-2016 Lecture 27
Riemann Integral II
Wed 11-09-2016 Lecture 28
Riemann Integral III
Fri 11-11-2016 Lecture 29
Taylor Series
Wed 11-16-2016 Lecture 30
Fundamental Theorem of Calculus
Fri 11-18-2016 Lecture 31
The Darboux Integral
Mon 11-21-2016 Lecture 32
Newton's Method
Mon 11-28-2016 Lecture 33
Three Theorems
Wed 11-30-2016 Lecture 34
Three Theorems Part II
Fri 12-02-2016 Lecture 35
Three Theorems Part III
Mon 12-05-2016 Lecture 36
Weierstrass M-Test
Wed 12-07-2016 Lecture 37
Two Theorems
Fri 12-09-2016 Lecture 38
Review Problms for Final Exam

Homework

HOMEWORK #9 NOW ASSIGNED
Scroll down for problems and due dates

All problems are from the textbook.



Homework #1: Due Wednesday 08-31-2016
pages 10-11: #2, #5a, #14, #16, #24
pages 15-16: #1, #6, #10, #15, #18

Homework #2: Due Wednesday 09-07-2016
page 22: #5, #10, #11c
pages 30-31: #2, #6, #9, #15, #18
pages 35-36: #1, #6, #9a, #18a

Homework #3: Due Wednesday 09-14-2016
page 39: #1, #3, #4
page 40: #5a, #5b, #7
page 44: #1
page 46: #14, #18, #19
Homework #4: Due Wednesday 09-21-2016
page 62: #6c, #6d, #8, #12, #16, #18
pages 69-70: #4, #6b, #6d, #7, #12
page 77: #1, #3, #7, #11, #12
Homework #5: Due Monday 10-03-2016
page 84: #7b, #7d, #9, #12
page 91: #5, #8, #9
pages 93-94: #1, #3, #4c, #4d, #10
Homework #6: Due Wednesday 10-12-2016
page 101: #6, #11, #12, #13
page 110: #7, #11, #15
page 116: #3, #5, #9, #10
Homework #7: Due Monday 10-24-2016
page 123: #5g, #5h, #9, #11
page 129: #6, #7, #11, #12
Homework #8: Due Monday 10-31-2016
page 134: #8, #10, #11
page 140: #1, #13
page 148: #2, #11
Homework #9: Due Monday 11-21-2016
page 171: #9, #10, #14, #16
page 179: #6, #11, #13
pages 187-188: #6, , #7, #8b, #8c, #11a, #11b, #12