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When | MWF 1:30-2:20 |
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Where | University (UNIV) 103 |
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Text |
An Introduction to Real Analysis
(4th Edition)
by Bartle and Sherbert
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Syllabus | Course policies and content |
Professor
| Office | Math 744 |
| Office Phone | 494-1958
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| Email | catlind@purdue.edu |
| Office Hours |
Tues 11:30-12:30 |
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| Wed 2:30-3:30
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| Thurs 11:30-12:30 |
| | or by appointment
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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.
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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.
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| Mon | 01-08 |
Lecture 1
(section 1.1)
Sets and Functions
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| Wed | 01-10 |
Lecture 2
(section 1.2)
Mathematical Induction
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| Fri | 01-12 |
Lecture 3
(section 1.3)
Finite & Infinite Sets
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| Wed | 01-17 |
Lecture 4
(section 2.1)
Properties of the Real Numbers
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| Fri | 01-19 |
Lecture 5
(section 2.2)
Absolute Value
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| Mon | 01-22 |
Lecture 6
(section 2.3) +
Quiz1
Completeness Property
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| Wed | 01-24 |
Lecture 7
(section 2.4)
Applications of Supremum Property
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| Fri | 01-26 |
Lecture 8
(section 2.5)
Intervals
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| Mon | 01-29 |
Lecture 9
(section 3.1) +
Quiz2
Sequences
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| Wed | 01-31 |
Lecture 10
(section 3.2)
Limit Theorems
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| Fri | 02-02 |
Lecture 11
(section 3.3)
Monotone Sequences
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| Mon | 02-05 |
Lecture 12
(section 3.4) +
Quiz3
Bolzano-Weierstrass Theorem
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| Wed | 02-07 |
Lecture 13
(section 3.5)
The Cauchy Criterion
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| Fri | 02-09 |
Lecture 14
(section 3.6)
Properly Divergent Sequences
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| Mon | 02-12 |
Lecture 15
(section 3.7) +
Quiz4
Infinite Series
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| Wed | 02-14 |
Lecture 16
(section 4.1)
Limits of Functions
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| Fri | 02-16 |
Exam 1 Review
Exam 1 Study Guide
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| Mon | 02-19 |
Exam 1 Review (cont')
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| Mon | 02-19 |
Exam 1
Time 8:00pm-9:30pm
Location: LILY G126
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Wed |
02-21 |
No Class
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| Fri | 02-23 |
Lecture 17
(section 4.2)
Limit Theorems for Functions
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| Mon | 02-26 |
Lecture 18
(section 4.3, 5.1) +
Quiz 5
Infinite Limits, Continuous Functions
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| Wed | 02-28 |
Lecture 19
(section 5.2)
Comb. of Continuous Functions
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| Fri | 03-02 |
Lecture 20
(section 5.3)
Cont Functions on Intervals
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| Mon | 03-05 |
Exam 1 Discussion
Solutions Exam 1 +
Quiz 6
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| Wed | 03-07 |
Lecture 21
Continuity of the Square Root
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| Fri | 03-09 |
Lecture 22
Present solutions of assorted problems
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Mon Fri |
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03-12 to 03-16 Spring Break
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| Mon | 03-19 |
Lecture 23
(section 5.4)
Uniform Continuity
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| Wed | 03-21 |
Lecture 24
(sections 5.6, 6.1)
Monetone & Inverse Functions + Derivative
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| Fri | 03-23 |
Lecture 25
(section 6.2) +
Quiz 7
Quiz is on Friday this week
Mean Value Theorem
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| Mon | 03-26 |
Lecture 26
(section 6.2)
Mean Value Theorem UPDATED
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| Wed | 03-28 |
Lecture 27
(section 6.3)
L'Hospital's Rule (I)
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| Fri | 03-30 |
Lecture 28
(section 6.3) +
Quiz 8
Quiz is on Friday this week
L'Hospital's Rule (II)
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| Mon | 04-02 |
Exam 2 Review
(refresh browser before clicking on study guide link)
Exam 2 Study Guide
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| Wed | 04-04 |
Exam 2 Review (cont')
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| Thu | 04-05 |
Exam 2
Time 8:00pm-9:30pm
Location: LILY G126
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Fri |
04-06 |
No Class
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| Mon | 04-09 |
Lecture 29
(section 6.4)
Taylor's Theorem (I)
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| Wed | 04-11 |
Lecture 30
(section 7.2 adapted)
The Darboux Integral (I)
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| Fri | 04-13 |
Lecture 31
(section 7.4 adapted)
The Darboux Integral (II)
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| Mon | 04-16 |
Lecture 32
(section 7.3)
The Fundamental Theorem of Calculus (I)
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| Wed | 04-18 |
Lecture 33
Fundamental Theorem of Calculus (II)
+ Complex Numbers
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| Fri | 04-20 |
Lecture 34 No Quiz
The Fundamental Theorem of Algebra
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| Mon | 04-23 |
Lecture 35 (Part 1)
Lecture 35 (Part 2)
The Fundamental Theorem of Calculus (I) and (II)
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Wed Fri |
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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)
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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
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Homework #2:
Due Friday 01-19-2018
(1.3) page 22: #5, #10, #11c
(2.1) pages 30-31: #2, #6, #9, #15, #18
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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
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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
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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
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| 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
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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
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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
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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
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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
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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
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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
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