Math 3000.002 Information

Spring 2011

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Office hours during finals:

· Monday May 9 2:00 – 3:30

· Tuesday May 10 9:30 - 11:00

· Wednesday May 11 1:30 - 3:00

· Thursday May 13 9:30 - 11:00

Syllabus

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Homework and Reading Assignments: Homework is to be turned at the beginning of class on the days indicted below. Soon after class each day the homework assignments will be posted here. You should do all the homework listed, but turn in only the problems listed in bold face type. The reading assignments are to be completed by the beginning of class on the days indicated. The class discussion will focus on the reading assignment. The schedule below is subject to change.

• January 19
  First day of class - introduction to proofs
  A puzzle
• January 21
  Read Section 13 through Practice 13.5
• January 24
  Read Section 5
• January 26
  Continue discussion of Section 5
• January 28
  Continue discussion of Section 5
  Page 46 5.1, 5.2, 5.3, 5.4, 5.5, 5.8
• January 31
  Read Section 1
• February 2
  Read Section 2 and start reading the rest of Section 13
• February 4
  Read Section 13
• February 7
  Continue discussion of Section 13
  Page 8 1.4, 1.8, 1.10, 1.13
• February 9
  Continue discussion of Section 13
  Page 14 2.4, 2.6, 2.8, 2.10, 2.11, 2.12
• February 11
  Continue discussion of Section 13
• February 14
  Continue discussion of Section 13
• February 16
  Review for Exam 1 and continue discussion of Section 13
• February 18
  Exam 1
  Page 134 1, 2, 5 a,b, 8, 11, 12, 21, 23
• February 21
  Read Section 14 through Lemma 14.4
• February 23
  Read Section 11
• February 25
  Continue discussion of Section 11
• February 28
  Continue discussion of Section 11
  Read Section 12
  Page 135 13.7, 13.10, 13.13, 13.15, 13.16
• March 2
  Continue discussion of Section 12
• March 4
  Page 143 14.1 parts a) and b), 14.3
  Page 115 11.3 parts a), b, c), d), e), j), 11.4
• March 7
  Continue discussion of Section 12
  Fill in the reasons in this handout
• March 9
  Continue Discussion of Section 12
• March 11
  Read Section 14
  Page 126 12.1, 12.2, 12.3, 12.4, 12.6
• March 21
  Continue Discussion of Section 14

o March 23
Continue discussion of Section 14
Page 126 12.7, 12.8, 12.9, 12.10a, 12.13
Page 136 13.14, 13.19 Prove that if S is a closed set which is bounded above, then sup(S) is an element of S.

o March 25
Review for Exam 2

o March 28
Read Section 16 through Example 16.1
Read Section 6 through Example 6.8
Review for Exam and discuss sections 6 and 7

o March 30
Exam 2
Page 144 14.4, 14.5, 14.8, 14.12

o April 1
Read Section 7
Page 73  7.1, 7.2, 7.3, 7.4, 7.5, 7.10, 7.11

• April 4
  Continue discussion of Section 7
  Page 75  7.14, 7.17, 7.20, 7.21, 7.22, 7.26
• April 6
• April 8
• April 11
• April 13
  Homework sheet due today
• April 15
  Class Cancelled
• April 18
  Read Section 20 through Example 20.7
  Read Section 21
• April 20
  Read Section 22
  Page 197 20.1 parts a and b, 20.6, 20.13
• April 22
  Properties of continuous functions
• April 25
  Properties of continuous functions
• April 27
  Page 206 21.1, 21.4, 21.13, 21.14
  Page 214 22.1, 22.2, 22.3, 22.5 (Assume that the functions are continuous)
  Exam 3
• April 29
  Read Section 10
• May 2
  Continue discussion of Section 10
• May 4
  Continue discussion of Section 10 and review for final
  Page 103 10.3, 10.5, 10.6, 10,10, 10.13, 10.14, 10.17
• May 9
  Final Exam (10:30-12:30)

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