Professor Dave Catlin
MA34100 Real Analysis

Exam Information

Final Exam: Tuesday 05-02-2017

When: 1:00pm - 3:00pm
Where: BRNG 2290
The exam is comprehensive.
Final Exam Study Guide from Fall 2016
Also, you must be able to state and prove
these theorems for the final exam:
1. The Boundedness Theorem
(Theorem 5.3.2 on p135)
2. The Uniform Continuity Theorem
(Theorem 5.4.3 on p143)
3. The Continuity of Sequences Theorem
(Theorem 8.2.2 on pp248-249)

Exam 2: Thursday 04-06-2017
When: 7:30pm - 9:00pm
Where: REC 121
The exam will cover Lectures 17 through 28
Exam 2 Study Guide

Exam 1: Monday 02-20-2017
When: 8:00pm - 9:30pm
Where: REC 114

For Exam 1 2017 Spring Semester
Exam 1 Review Problems

Exam 1 Study Guide Fall 2016
Exam 1 Fall 2016
Exam 1 Answers Fall 2016

Class Information

When	MWF 12:30-1:20
Where	REC 121
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 9:30-10:30
	W 10:30-11:30
	Th 9:30-10:30
	or by appointment

Lectures

The following schedule is approximate. Lecture topics and order may change over the course of the semester, but this schedule gives a general idea of what will be covered this semester.

Refresh your browser before clicking on a Lecture
Lectures are always available online on the day of class
(but not necessarily before that)

Mon	01-09-2017	Lecture 1 Preliminaries
Wed	01-11-2017	Lecture 2 Mathematical Induction
Fri	01-13-2017	Lecture 3 Finite & Infinite Sets
Wed	01-18-2017	Lecture 4 Properties of the Real Numbers
Wed	01-20-2017	Lecture 5 Absolute Value
Fri	01-23-2017	Lecture 6 Least Upper Bounds
Wed	01-25-2017	Lecture 7 Completeness Property & Intervals
Fri	01-27-2017	Lecture 8 Sequences
Mon	01-30-2017	Lecture 9 Limit Laws
Wed	02-01-2017	Lecture 10 Monotone Sequences
Fri	02-03-2017	Lecture 11 Bolzano-Weierstrass Theorem
Mon	02-06-2017	Lecture 12 The Cauchy Criterion
Wed	02-08-2017	Lecture 13 Properly Divergent Sequences
Fri	02-10-2017	Lecture 14 Infinite Series
Mon	02-13-2017	Lecture 15 Limits of Functions
Wed	02-15-2017	Lecture 16 Limit Theorems
Fri	02-17-2017	Exam 1 Review Study Guide Problems
Mon	02-20-2017	Lecture 17 Extensions of Limits
Wed	02-22-2017	Lecture 18 Infinite Limits
Fri	02-24-2017	Lecture 19 Combinations of Continuous Functions (updated)
Mon	02-27-2017	Lecture 20 Continuous Functions on Intervals
Wed	03-01-2017	Lecture 21 Uniform Continuity
Fri	03-03-2017	Lecture 22 The Derivative
Mon	03-06-2017	Lecture 23 Mean Value Theorem
Wed	03-08-2017	Lecture 24 L'Hopital's Rule
Mon	03-20-2017	Lecture 25 The Darboux Integral
Wed	03-22-2017	Lecture 26 The Darboux Integral (cont')
Fri	03-24-2017	Lecture 27 Taylor Series
Mon	03-27-2017	Lecture 28 Fundamental Theorem of Calculus
Wed	03-29-2017	Lecture 29 Solutions of Differential Equations
Fri	03-31-2017	Lecture 30 Differential Equations (cont')
Mon	04-03-2017	Lecture 31 Complex Numbers
Wed	04-05-2017	Exam 2 Review Study Guide Problems
Mon	04-10-2017	Lecture 32 (coming soon) Fundamental Theorem of Algebra
Wed	04-12-2017	Lecture 33 Three Theorems
Fri	04-14-2017	Lecture 34 Newton's Method
Mon	04-17-2017	Lecture 35 Taylor's Theorem (cont')
Wed	04-19-2017	Lecture 36 Coming soon ...
Fri	04-21-2017	Lecture 37 Convergence of Power Series
Wed	04-26-2017	Lecture 38 Review Problems for Final Exam
Fri	04-28-2017	Lecture 39 Convergence of Power Series

Homework

All problems are from the textbook.
Homeworks are due on Wednesday and will be graded and returned on Monday.

Homework #1: Due Wednesday 01-18-2017
pages 10-11: #2, #5a, #14, #16, #24
pages 15-16: #1, #6, #10, #15, #18

Homework #2: Due Wednesday 01-25-2017
page 22: #5, #10, #11c
pages 30-31: #2, #6, #9, #15, #18
pages 35-36: #1, #6, #9a, #18a

Homework #3: Due Wednesday 02-01-2017
page 39: #1, #3, #4
page 40: #5a, #5b, #7
page 44: #1
page 46: #14, #18, #19

Homework #4: Due Wednesday 02-08-2017
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 Wesnesday 02-15-2017
page 84: #7b, #7d, #9, #12
page 91: #5, #8, #9
pages 93-94: #1, #3, #4c, #4d, #10

Homework #6: Due Wednesday 03-08-2017
page 101: #6, #11, #12, #13
page 110: #7, #11, #15
page 116: #3, #5, #9, #10

Homework #7: Due Monday 03-27-2017
page 123: #5g, #5h, #9, #11
page 129: #6, #7, #11, #12
page 134: #8, #10, #11
page 140: #1, #13
page 148: #2, #11

Homework #8: Due Wednesday 04-19-2017
page 171: #9, #10, #14, #16
page 179: #6, #11, #13
pages 187-188: #6, , #7, #8b, #8c, #11a, #11b, #12

Professor Dave Catlin MA34100 Real Analysis