Math 446 - Real Analysis - Schedule & Homework

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• 446 Syllabus
• Schedule and Homework
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Week 1

• Syllabus discussion.
• Intro topics quiz on Sections 1.1-1.3 (not graded).
• Section 2.1 Algebraic and order properties of the real numbers.
• Sections 1.1-1.3 review as needed.
• Homework 1 (due Friday, Sept 9) 2.1.1, 2.1.2, 2.1.5, 2.1.12, 2.1.20,
  (review/take-home-quiz problems, due Wednesday, Sept 7, 1.1.3(a), 1.1.6(a), 1.1.12, 1.1.15, 1.2.3, 1.3.8).

Week 2 (Labor Day, Sept 5, no classes)

• Sections 2.2 Absolute Value, 2.3 The Completeness Property of R
• Homework 2 (due Friday, Sept 16) 2.2.6b, 2.2.8b, 2.2.10, 2.2.13bd, 2.2.14, 2.3.3, 2.3.5, 2.3.9, 2.3.10, 2.4.4b

Week 3 (Last day to add/drop, Sept 13)

• Sections 2.4, 2.5
• Homework 3 (due Friday, Sept 23) 2.4.2, 2.4.7, 2.4.8, 2.4.9, 2.5.2, 3.1.5cd

Week 4

• Sections 3.1, 3.2, 3.3
• Homework 4 (due Friday, Sept 30) 3.1.6cd, 3.1.8, 3.1.15, 3.2.2, 3.2.3, 3.2.6cd, 3.2.7, 3.2.9, 3.2.16

Week 5

• Midterm Exam 1
• Homework 5 (due Friday, Oct 7) 3.3.2, 3.3.3, 3.3.10, 3.3.14, and 3.3.6

Week 6

• Sections 3.4, 3.5
• Homework 6 (due Friday, Oct 14) 3.4.1, 3.4.3, 3.4.6, 3.4.7bc, 3.5.2a, 3.5.4

Week 7

• 3.6, 3.7, 4.1
• Homework 7 (due Monday, Oct 24) 3.5.5, 3.6.2, 3.6.6, 3.6.7, 3.7.3c, 3.7.8, 3.7.9, Binomial Theorem

Week 8 (Mid-semester day, Oct 21, no classes)

• 3.7, 4.1
• Homework 8 (study these problems for Midterm 2. ) 4.1.4, 4.1.5, 4.1.8, 4.1.9cd, 4.1.10b, 4.1.11

Week 9

• 4.1, 4.2, 4.3, 5.1
• Homework 8 (study these problems for Midterm 2. due Friday, Nov 8, 4PM) 4.1.4, 4.1.5, 4.1.8, 4.1.9cd, 4.1.10b, 4.1.11

Week 10 (Last day to withdraw Nov 4)

• Midterm Exam 2, Monday, Oct 31. This exam will cover everything through section 4.1 (proving lim_{x -> c} f(x) = L via the definition)
• Homework 9 (due Friday, Nov 11) 5.1.5, 5.1.7, 5.1.12, 5.1.13

Week 11

• 5.1, 5.2, 5.3, 5.4
• Homework 10 (due Friday, Nov 18) 5.2.3, 5.2.7, 5.2.8, 5.2.10, 5.3.17, 5.4.1, 5.4.2, 5.4.3

Week 12

• 6.1, 6.2
• Homework 11 (due Monday, Nov 28) 6.1.1ad, 6.1.2, 6.1.4, 6.1.8ac, 6.1.10

Week 13

• 6.3
• Homework 12 (due Friday, Dec 2) 6.2.1b, 6.2.3c, 6.2.5, 6.2.13, 6.2.17, 6.3.4, 6.3.5, 6.3.6d, 6.3.8d, 6.3.10bd

Week 14

• 6.4, 7.1
• Homework 13 (due Friday, Dec 9) Turn in solutions to 6 of the 9 problems listed. Do at least one problem from each section. 6.4.7, 7.1.2, 7.1.10, 7.2.1, 7.2.2, 7.2.8, 7.2.16, 7.3.3, 7.3.5

Week 15

• 7.2, 7.3