MTH 311B--Homework Assignments

Supplementary text chapters you should read [keyed to the 3rd Edition of Chartrand]:

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:

• Mon, Sep 30  completed
• Mon, Oct 28  completed
• Mon, Nov 25  completed
• Final Exam, Wed, Dec 11,  8:00AM - 11:00AM in Capen 262 Note change in room
  

Office Hours: Mon, 1:00 PM; Wed, 10:15-10:50 AM

• Finals week: 10:00 AM Monday & Tuesday (might be in the Common Room, not my office)

Textbook:

• Main text: "Outline and Problem Sets", available in the Course Documents section of UBLearns for this course.
• Required supplement: Mathematical Proofs: A Transition to Advanced Mathematics (3rd Edition) by Chartrand, Polimeni, and Zhang

Final Exam

• When: Wednesday, December 11 at 8:00-11:00 AM
• Where: Capen 262 note change in room
• Covers: 1 - 16
  
• Format: 3 statements/definitions; approximately 9 problems/proofs
• a sheet with the axioms/properties of the integers in abbreviated form will be provided if appropriate
• Seating will be assigned
• No alphanumeric/programmable/graphing calculators allowed
• Review Session: Monday, December 9, 5:00 PM, Math 250 note change in room

Assignment 14--Due Friday, December 6:

• Quiz: in recitation Wednesday, December 4, on Sections 14 and 15
  
• Problems 14: 7, 8
  
• Problems 15: 1 - 3
  
• Problems 16: 1 - 6, 8, 9 (we will cover this material on Wednesday)                                                                                 

Coming Attractions (tentative assignments--due dates TBA): 

• Final Exam
• Review Session?
• Winter Break
  

Assignment 1--Due Friday, August 30:

• Recitation will meet on Wednesday, August 28 at 8:00 AM
• 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 and Problem Sets"] Turn in on Friday
  
• Supplemental Text 3rd Edition (Chartrand), p. 74: problem 2.86 [updated for 3rd edition] Turn in on Friday
• All problems listed in an assignment are to be turned in at lecture on the due date

Assignment 2--Due Friday, September 6:

• Quiz: In recitation on Section 1 of the Outline and on the Integer Axioms in Section 2
• Including:
• the meaning of the terms used in the axioms (e.g. define "multiplication 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
• You will not need to memorize the number of the axioms (there will be no questions of the sort "What does Axiom Z5 say") [Correction: not need to memorize]
  
• Quizzes have two questions:
• A statement or definition
• A problem or proof
• Problems 2 (of notes): 2.1 (this has multiple parts)

Assignment 3--Due Friday, September 13:

• Quiz: In recitation Wednesday, September 11 on Section 2
• 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

Assignment 4--Due Friday, September 20:

• Quiz: In recitation Wednesday, September 18 on Sections 3 and 4 (through Definition 4.2)
  
• a sheet listing the real axioms in abbreviated form and listing the properties will be provided if appropriate
• Problems 3 (of notes): 1-14
• Do, but do not turn in, problems 3.45-3.53 [this has been updated for 3rd edition]
  
• [This was 3.31-3.39 in Chartrand 2nd edition]

Assignment 5--Due Friday, September 27:

• Quiz: In recitation Wednesday, September 25 on Sections 4 and 5
  
• a sheet listing the real axioms in abbreviated form and listing the properties will be provided if appropriate
• Problems 4: 1-9
• Problems 5: 1-9
• Exam I: Monday, Sept 30

Assignment 6--Due Friday, October 4:

• Quiz: no quiz in recitation Wednesday, October 2
  
• Problems 5: 10-12
• Problems 6: 1-11                                                                                                                                       
  

Assignment 7--Due Friday, October 11:

• Quiz: in recitation Wednesday, October 9, on Sections 6 and 7 (through 7.13)
  
• Problems 6: 12 - 14 [15 is hard--try it if you like a challenge]
• Problems 7: 1-7                                                                                                                                       

Assignment 8--Due Friday, October 18:

• Quiz: in recitation Wednesday, October 16, on Sections 7 (from  Prop. 7.13)  and 8
• If you missed the quiz on Wednesday, you may take it on Friday in class.
  
• Problems 7: 8 - 11
• Problems 8: 1 - 15                                                                                                                           

Assignment 9--Due Friday, October 25:

• Quiz: in recitation Wednesday, October 23, on Sections 9 and 10 (through Proposition 10.10)
• Problems 9: 1 - 13
• Problems 10: 1 - 8                                                                                                                         
  

Assignment 10--Due Friday, November 1:

• Quiz: no quiz in recitation Wednesday, October 30
• Problems 10: 9, 10
• Problems 11: 1 - 5 (You will be able to start problems 1 and 4 after lecture on Wednesday; 2, 3, and 5 can be done already)

Assignment 11--Due Friday, November 8:

• Quiz: in recitation Wednesday, November 6, on Sections 10 (from Proposition 10.11) and 11 (through Prop. 11.12)
• Problems 11: 8 - 14 (these can be found in the proof of Lemma 11.7 posted to UBlearns > Course Documents)
  
• Problems 11: 6, 7                                                                                                                  

Assignment 12--Due Friday, November 15:

• Quiz: in recitation Wednesday, November 13, on Sections 11, 12, 13 (through Definition 13.8)
  
• Problems 12: 1 - 5
• Problems 13: 1 - 5, 7                                                                                                           

Assignment 13--Due Friday, November 22:

• Quiz: in recitation Wednesday, November 20, on Sections 13 and 14 (through Lemma 14.6 plus Axiom 14.10)
  
• Problems 13: 6, 8 - 12
• Problems 14: 1 - 6 [note change from previous versions of this webpage]

Assignment 14--Due Friday, December 6:

• Quiz: in recitation Wednesday, December 4, on Sections 14 and 15
  
• Problems 14: 7, 8
  
• Problems 15: 1 - 3
  
• Problems 16: 1 - 6, 8, 9 (we will cover this material on Wednesday)                                                                                 

Exam I

• When: Monday, September 30 at 9:00-9:50 AM
• Where: Knox 4
• Covers: Sections 1 to 5
• Format: 2 statements/definitions; 3 or 4 problems/proofs
• a sheet with the axioms/properties in abbreviated form will be provided if appropriate
• Seating will be assigned
• No alphanumeric/programmable/graphing calculators allowed
• Review Session: Sunday, September 29 at 2:00 PM, in Knox 4

Exam II

• When: Monday, October 28 at 9:00-9:50 AM
• Where: Knox 4
• Covers: Sections 6 - 10 (through Proposition 10.10)
  
• Format: 2 statements/definitions; 3 or 4 problems/proofs
• Seating will be assigned
• No alphanumeric/programmable/graphing calculators allowed
• Review Session: Sunday, October 27, 2:30 PM, in Knox 4

Exam III

• When: Monday, November 25 at 9:00-9:50 AM
• Where: Knox 4
• Covers: 10 - 14 (through Proposition 14.7 plus Axiom 14.10)
  
• Format: 2 statements/definitions; 3 or 4 problems/proofs
• Seating will be assigned
• No alphanumeric/programmable/graphing calculators allowed
• Review Session: Sunday, November 24, 2:00 PM, Knox 4