Professor David Catlin
MA34100 Real Analysis
Foundations of Analysis

Course Syllabus Spring 2018



Course Information

Lectures

Homework

When MWF 1:30-2:20
Where University (UNIV) 103
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 Tues 11:30-12:30
  Wed 2:30-3:30
  Thurs 11:30-12:30
  or by appointment

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
Exam 2 covers Lecture 17 through Lecture 34
(sections 4.2 through 7.3)
Review Materials:


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 for attending Monday's lecture, taking the quiz, and turning it in.


Mon 01-08 Lecture 1 (section 1.1)
Sets and Functions
Wed 01-10 Lecture 2 (section 1.2)
Mathematical Induction
Fri 01-12 Lecture 3 (section 1.3)
Finite & Infinite Sets
Wed 01-17 Lecture 4 (section 2.1)
Properties of the Real Numbers
Fri 01-19 Lecture 5 (section 2.2)
Absolute Value
Mon 01-22 Lecture 6 (section 2.3) + Quiz 1
Completeness Property
Wed 01-24 Lecture 7 (section 2.4)
Applications of Supremum Property
Fri 01-26 Lecture 8 (section 2.5)
Intervals
Mon 01-29 Lecture 9 (section 3.1) + Quiz 2
Sequences
Wed 01-31 Lecture 10 (section 3.2)
Limit Theorems
Fri 02-02 Lecture 11 (section 3.3)
Monotone Sequences
Mon 02-05 Lecture 12 (section 3.4) + Quiz 3
Bolzano-Weierstrass Theorem
Wed02-07 Lecture 13 (section 3.5)
The Cauchy Criterion
Fri02-09 Lecture 14 (section 3.6)
Properly Divergent Sequences
Mon02-12 Lecture 15 (section 3.7) + Quiz 4
Infinite Series
Wed02-14 Lecture 16 (section 4.1)
Limits of Functions
Fri02-16
Exam 1 Review

Mon02-19 Exam 1 Review (cont')

Mon02-19 Exam 1
Time 8:00pm-9:30pm
Location: LILY G126


Wed

02-21

No Class

 

 

 








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

Homework #2: Due Friday 01-19-2018
(1.3) page 22: #5, #10, #11c
(2.1) pages 30-31: #2, #6, #9, #15, #18

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
(2.4) pages 44-46: #1,#3, #4, #14, #18, #19

Homework #4: Due Friday 02-02-2018
(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

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

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