MAT390 - Introduction to Real Analysis

Homework Assignments

Feb. 6

• For Monday, Feb. 9 - Go back to Section 1.1 and look at notation and ideas you are not familiar with

• For Monday, Feb. 9 - Read Section 2.1 up to (not including) Rational and Irrational Numbers

• For Wednesday, Feb. 11 - From Section 2.1, #1, 2, 4, 5

  • Hints:

    • 2(c) - Assume a is not zero

    • 4 - Begin by assuming a is not zero and show a is equal to one

    • 5 - Focus on multiplicative inverse not the fact that it is division

Feb. 9

• For Wednesday, Feb. 11 - Read Section 2.1 through Rational and Irrational Numbers

• For Friday, Feb. 13 - From Section 2.1, #8

• Prove:  n is even if and only if n² is even.

• For Wednesday, Feb. 11 - Read Section 1.2 and in Exercises #13

• For Friday, Feb. 13 - From Section 1.2 - #1, 3, 4, 7, 14, 16, 20

Feb. 11

• For Friday, Feb. 13 - Finish reading Section 2.1

• For Monday, Feb. 16 - From Section 2.1 - #10, 11, 13, 14, 15, 18, 20, 22

• For Monday, Feb. 16 - Read exercises from Section 2.1 - #17, 24, 25, 26

Feb. 13

• For Monday, Feb. 16 - Read Section 2.2 (pay attention to examples)

• For Wednesday, Feb. 18 - From Section 2.2, #1b, 4, 5, 6a, 15, 16a

Feb. 16

• For Wednesday, Feb. 18 - Read Section 2.3

• For Friday, Feb. 20 - From Section 2.3 - #2, 6, 7, 8, 9

Feb. 18

• For Friday, Feb. 20 - Read page 7

• For Friday, Feb. 20 - Read page 11 exercises 11-13

• For Monday, Feb. 23 - Do the first part of #12 and the second part of #13

Feb. 20

• For Monday, Feb. 23 - Read Section 2.4 (We will do proof of existence of sqrt(2) on Monday)

• For Wednesday, Feb. 25 - From Section 2.4, the sup parts of 4a, 4b, 6, 13, 18.

  • Hints:

    • Will need the stuff from Section 2.1

    • Probably will use the proof method from 2.4.8 and 2.4.9

Feb. 23

• For Wednesday, Feb. 25 - Read Section 1.3 (if you haven't already)

• For Wednesday, Feb. 25 - Read Section 2.5 (in it's entirety)

• For Friday, Feb. 27 - From Section 2.5 - #2, 7, 8, 9, 17

  • Hints:

    • Understand that 7, 8 and 9 are PROOFS

Feb. 25

• NO HOMEWORK GIVEN

Feb. 27

• For Monday, Mar. 1 - Read Section 3.1

• For Wednesday, Mar. 3 - From Section 3.1, #1d, 2b, 3b, 4, 5a, 5c, 8, 10, 11, 17

• REMINDER -- EXAM #1 NEXT FRIDAY

Mar. 1

• For Wednesday, Mar. 3 - Read Section 3.2

• For Friday, Mar. 5 - From 3.2, #1b, 1d, 3, 6b, 7, 19, 21

Mar. 3

• Review for Exam #1

Mar. 5

• EXAM #1

Mar. 8

• For Wednesday, Mar. 10 - Read Section 3.3

• No Problems Assigned

Mar. 10

• For Friday, Mar. 12 - Finish reading Section 3.3

• For Monday, Mar. 15 - From Section 3.3, #1, 2, 3, 4

Mar. 12

• For Monday, Mar. 15 - Begin reading Section 3.4

• No Problems Assigned

Mar. 15

• For Wednesday, Mar 17 - Finish reading Section 3.4

• For Friday, Mar. 19 - From Section 3.4, # 4a, 7, 12, 16

  • _{Hints -}

    • _{For #7, use example 3.3.6}

    • _{For #12, DO NOT assume that (x_{n}) is positive.}

Mar. 17

• For Friday, Mar. 19 - Read Section 3.5

• For Monday, Mar. 29 - From Section 3.5, #2, 4, 5, 9

Mar. 19

• For Monday, Mar. 29 - Read Section 3.6

• For Wednesday, Mar. 31 - From Section 3.6 - #1, 3, 6, 7, 8a, 8b, 8c, 10

Mar. 29

• For Wednesday, Mar. 31 - Read Section 3.7

• For Friday, Apr. 2 - From Section 3.7, #3a, 3b, 4, 6b, 8, 9, read #12 and do #14a, read #2

Mar. 31

• Reminder:  EXAM 2 is a WEEK from today

• NO HOMEWORK ASSIGNED

Apr. 2

• For Monday, Apr. 5 - Read Section 4.1

• For Wednesday, Apr. 7 - From Section 4.1, #6, 8, 9a, 9c, 11b, 11d, 14.  ONLY read 3, 4, 5, 7, 12

Apr. 5

• EXAM 2 MOVED UNTIL APRIL 14

• For Wednesday, Apr. 7 - Read Section 4.2

• For Wednesday, Apr. 14 - From Section 4.2, #1a, 1c, 2a, 2c, 3, 4, 5, 11c, 11d

Apr. 7

• REMINDER:  EXAM 2 IS WEDNESDAY APRIL 14

• For Friday, April 16 - Read Section 5.1

• For Friday, April 16 - From Section 5.1, #6, 7, 8, 12 and read #11.

Apr. 9

• EASTER BREAK

Apr. 12

• EASTER BREAK

Apr. 14

• EXAM #2

Apr. 16

• For Wednesday, April 21 - From Section 5.2, # 2, 8, 10, 11

• For Wednesday, April 21 - From Section 5.2, read #6, 7, 8, 11, 12

Apr. 19

• No Assignment Given -- BUT MAKE SURE 5.2 PROBLEMS ARE DONE!!

Apr. 21

• No Assignment Given -- MAKE SURE YOU USE THIS TIME TO CATCH UP

Apr. 23

• For Monday, April 26 - Read Section 5.3

• For Wednesday, April 28 - From Section 5.3, #1, 2, 4, 17

• For Wednesday, April 28 - From Section 5.3, read #6, 14, 18, 19

Apr. 26

• For Wednesday, April 28 - Read Section 5.4

• For Friday, April 30 - From Section 5.4, #1, 2, 3, 5 and READ #12

Apr. 28

• For Friday, Apr. 30 - Read Section 5.5

• For Monday, May 3 - From Section 5.5, #1, 2a, 3b, 9 (use gauges on 9)

Apr. 30

• For Monday, May 3 - Read Section 5.6

• For Wednesday, May 5 - From Section 5.6, #2, 3, 4, 12 (#9 for extra credit)

May 3

• No Homework Assigned

• MAKE SURE Section 5.6 homework is DONE for class

May 5

• No Homework Assigned

May 7

• For Monday, May 10 - Read Section 6.1

• For Wednesday, May 12 - From Section 6.1, #1b, 1d, 6, 10, 12 (#4 for extra credit)

May 10

May 12

May 14

May 17

• FINAL EXAM REVIEW

May 19

• FINAL EXAM -- 10:30am  to 12:30pm

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