MTH 445 Real Analysis Semester 082

Calendar for Assignments, Quizzes, and Tests

Purchasing Maple 12 with special discount:
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Note on Reading
Read assigned material before the class when it is to be discussed.  Focus on understanding and learning concepts.  Do not make the mistake of skipping reading material before attempting homework assignments. 

Note on Homework

Write out complete answers NEATLY and CLEARLY. You must show your work! Partial credit is given when work is shown even if answer is incorrect. Start homework early and see me for help with problems you don't know how to work! My office is Core 257-- See my schedule for office hours or call or send email for an appointment. I am always delighted to help.

Date

Exams and Quizzes

Reading Assignment -- Complete by date given

Homework Due -- turn in at beginning of class on date given  (See exercise lists at bottom)

Tues.

01/06

 

 

 

Thur.
01/08

 

    
 Section 1, Section 2, Section  3

   

Exercise Set 1

Tues
01/13

 

Section 4, Section 5

Exercise Set 2

Thurs.
01/15

 

Section 10

Induction Handout  Induction PowerPoint

 

Tues.
01/20

 

 

Exercise Set 3

Thur.
01/22

 

Section 12

Exercise Set 4

Tues.
01/27

 

Section 13

Exercise Set 5

Exercise Set 6

Thur.
01/29

 

 

Exercise Set 7

Tues.
02/03

Exam 1

 

 

Thur.
02/05

 

Section 14

Lemma for Heine Borel

Heine Borel Theorem

 

Tues.
02/10

 

Bolzano Weierstrass Theorem

 

Section 16

Maple Sequence Worksheet 1 (Limits)

 

Convergent Sequences Notes

Exercise Set 8

Thur.
02/12

 


Section 17

Limit Theorem Notes

 

 

Tues.
02/17

 

 

 

Thur.
02/19

 

 

Exercise Set 9

Tues.
02/24

 

Section 18

Montone and Cauchy Sequences Notes

Exercise Set 10

 

Thurs.
02/26

 

Section 19

Subsequences Notes (Section 19)

Golden Ratio Sequence Maple Worksheet

Subsequences Maple Worksheet

 

Section 20

Limits of Functions Maple Worksheet

Exercise Set 11, Exercise Set  1

Tues.

03/03
Thurs

03/05

 

SPRING BREAK – NO CLASS

 

Tues.

03/10

 

Limit of Functions Notes (Section 20)

 

Exercise Set 12
 

Thurs

 03/12

Exam 2

 

Exercise Set 13

Tues

03/17

 

Section 21  Maple Worksheet on Continuity

 

 

Thur.
03/19

 

Section 21, con’t
Continuity of Functions (Section 21)

Exercise Set 14

 

Tues.
03/24

 

Section 22

Properties of Continuous Functions  Maple Worksheet

 

 

Thur.
03/26

 

Section 23  Uniform Continuity

Uniform Continuity Maple Worksheet

Exercise Set 15

 

Tues.
03/31

 

Section 25  The Derivative

The Derivative Maple Worksheet

Work sheet for Derivative Practice

Exercise Set 16

 

Thur.
04/02

 

Section 26

Maple worksheet on Rolle’s and Mean Value Theorem

Exercise Set 17

Tues.
04/07

Exam 3

Review Guide

 

Exercise Set 18

Thur.
04/09

 

PROJECT WORK!

 

Tues.
04/14

 

Section 29  The Riemann Integral

 and Section 30  Properties of the Riemann Integral  (first theorem only)

 

Thur.
04/16

 

Maple worksheet on Riemann Integral

Exercise Set 19

Tues.
04/21

 

Presentations

Exercise Set 20

Thur.
04/23

 

Presentations

 

Tues.

04/29

Exam 4

Due  -- submit by 

4:00 p.m.

 

 

 

Exercise Set List

 

Exercise Set 1

page 8:   1.4 all (use tautologies from practice 1.6 for c-g), 1.6, 1.10, 1.12
page 14   2.4, 2.8, 2.10

 

Exercise Set 2

pages 24-26:  3.3, 3.4, 3.5, 3.6 a e h

 

Exercise Set 3

page 32:  4.4, 4.8, 4.14, 4.16

Exercise Set 4

page 46:  5.6, 5.10, 5.14, 5.15, 5.16, 5.17
Also, prove Theorem 5.13 g

Exercise Set 5

page 103:  10.1, 10.2, 10.6, 10.9

 

Exercise Set 6

page 127:  12.1, 12.2, 12.3, 12.4

Exercise Set 7

page 134:  13.1, 13.2, 13.3, 13.4, 13.5, 13.6, 13.9

 

Exercise Set 8

page 143:  14.1, 14.2, 14.3

 

Exercise Set 9

page 162:  16.1, 16.2, 16.6 c and d, 16.7 b, 16.8 a and b

 

Exercise Set 10

page 172: 17.3, 17.5 b, d, f and h, 17.6

 

Exercise Set 11

page 179: 18.1, 18.2, 18.3 c, 18.4

 

Exercise Set 12

page 187: 19.1, 19.2, 19.4, 19.14

 

Exercise Set 13

page 197: 20.3 a,d,h, 20.4, 20.6 c, 20.9 a,b,c
 

Exercise Set  14

page 207:  21.3, 21.4

 

Exercise Set 15

page 214: 22.1, 22.2, 22.5

Exercise Set  16

page 221: 23.1, 23.3 b, c, d, e, f

 

Exercise Set 17

page 239: 25.1, 25.2, 25.4a, b

 

Exercise Set 18

page 248: 26.1, 26.2, 26.3, 26.5a, d, f

 

Exercise Set 19

page 283:  30.1, 30.2, 30.3 a, 30.11

 

Exercise Set 20

page 291: 31.1, 31.3, 31.5