MTH 311E--Homework Assignments

Supplementary text chapters you should read [revised 08/25/08 for the 2nd Edition]:

The material in Chapters 2-5 in the handouts ["Outline and Problem Sets"] is not covered directly in the supplementary text [Mathematical Proofs by Chartrand, et al]. However you should read Chapters 3-5 [of Chartrand] since these discuss proof techniques and give many examples of proofs, some of which are related to the material in Chapters 2-5 of the handout. After Chapter 5 in the handout, the topics covered will be: Induction (see Chapter 6 of Chartrand), sets (see Chapter 1 of Chartrand), functions (see Chapter 9 of the Chartrand), equivalence of sets and cardinality (Chapter 10 of Chartrand). After this we will cover topics such as the Least Upper Bound Axiom, which are not in Chartrand.

Homework: due Fridays in lecture
Quiz: Wednesdays in recitation

Exams:

• Wed, Oct 6
• Mon, Nov 1
• Wed, Dec 1

Office Hours: Mon, 11:00 AM; Wed, 9:00 AM

Textbook:

• Main text: "Outline and Problem Sets", will be available in the Course Documents section of UBLearns for this course.
• Required supplement: Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition) by Chartrand, Polimeni, and Zhang

Assignment 4--Due Friday, Sept 24:

• Quiz: Wednesday, Sept 22 in recitation on Chapter 3 and Chapter 4 through TBA
  
• Problems 3: 1-14
• Do, but do not turn in, problems 3.31-3.39 in Chartrand 2nd edition
• Problems 4: 1-6 (depending on where we get to on Monday)
  

Coming Attractions: 

• Problems 4: 1-6, 7, 8
  
• Problems 5: 1-7

Assignment 1--Due Friday, Sept 3:

• Recitation will meet on Wednesday, Sept 1
• Read the Preface and Chapter 1 of the "Outline and Problem Sets"
• Quiz: No quiz this week
• Problems 1: 1-4 ["Problems 1" refers to the problems at the end of section 1 of the "Outline"]
• Supplemental Text 2nd Edition (Chartrand), p. 64: problem 2.57

Assignment 2--Due Monday, Sept 13:

• Quiz: Wednesday, Sept 8 in recitation on Chapter 1 and Chapter 2 of "Outline" through Definition 2.2
• Including:
• the meaning of the terms used in the axioms (e.g. define "muliplication is associative") 
• the statement of the Well Ordering Principle
• Note: you will not need to memorize the axioms themselves, except for the Well Ordering Principle
• Quizzes have two questions:
• A statement or definition
• A problem or proof
• Problems 2 (of notes): 2.1 (this has multiple parts)
• [Note: you will begin working on these problems in groups in recitation on Wed, Sept 9 [didn't quit work out that way]]
• No class: Friday, Sept 10

Assignment 3--Due Friday, Sept 17:

• Quiz: Wednesday, Sept 15 in recitation on Chapter 2 of "Outline"
• a sheet listing the axioms in abbreviated form and listing the properties will be provided if appropriate
• Problems 2 (of notes): 2.2 (this has multiple parts), 2.3, 2.4
• Hint for 2.2 part 1: break the proof up into cases. Can you prove for a, b both positive, for example?