Math 6
Introduction to Finite Mathematics
Last updated June 24, 2010 10:49:55 EDT

Announcements:

• There will be no class on Friday, April 4th. We will hold class during the x-hour on Thursday, April 3rd, instead.
• There will be no office hours Tuesday, April 15th.
• In-class worksheets have been posted on Blackboard.
• By popular demand, the final exam will be held from 9 to 11am instead of 8 to 11 as scheduled in the final examination calendar.

### Homework Assigments

Week of March 24 - 28, 2008
Assignments Made on:
 Monday: Study: No class Do: Enjoy those fleeting moments of freedom. Wednesday: Study: Chapter 0 (on Blackboard) Do: Explain why: 1. The sum of two even numbers is an even number. 2. The sum of two odd numbers is an odd number. 3. The smallest possible "side-sum" is 9. Hint: A general proof-writing technique is to a. do examples, b. write down the given information and definitions of the objects involved, c. write down the process used in working out the examples, and d. generalize this process. Friday: Study: Lecture notes, homework problems Do: Prepare for the quiz.
Week of March 31 - April 4, 2008
Assignments Made on:
 Monday: Study: Chapter 11 (blackboard) Do: 1. Write the multiplication table for symmetries of the triangle. 2. What is the inverse to each motion? 3. Solve x^2*FR = F for x. Wednesday: Study: Chapter 1 (blackboard) Do: 1. Construct addition and multiplication tables for a field with 2 elements. 2. Construct addition and multiplication tables for a field with 7 elements. Hint: Let 0 = O and 1 = I. 3. Solve 3x + 6 = 3 in the field with 7 elements, justifying each step by the rules of fields and your multiplication and addition tables. 4. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that one of the easiest ways to remember something is to connect it to personal experience, either directly or by analogy.) 5. What is a test question you think you might be asked about an important concept from today's lesson? Thursday: Study: Lecture notes, homework problems Do: Prepare for the quiz.
Week of April 7 - April 11, 2008
Assignments Made on:
 Monday: Study: Chapter 3 (blackboard) Do: 1. What are two possible solutions to the Mystery of the Nonintersecting Threads? 2. What is a 'hypercircle'? 3. Give examples of five spaces that are simply connected and five that are not. 4. Which of your examples have boundaries? 5. Exercise 3.1, Chap. 3 (on Blackboard) 6. Exercise 3.2, Chap. 3 (on Blackboard) 7. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that one of the easiest ways to remember something is to connect it to personal experience, either directly or by analogy.) 8. What is a test question you think you might be asked about an important concept from today's lesson? Wednesday: Study: Chapter 3 (blackboard) Do: 1. Question 1 from Manifolds worksheet 2. Question 2 from Manifolds worksheet 3. Question 3 from Manifolds worksheet 4. Question 5 from Manifolds worksheet 5. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that one of the easiest ways to remember something is to connect it to personal experience, either directly or by analogy.) 6. What is a test question you think you might be asked about an important concept from today's lesson? Friday: Study: Lecture notes, homework problems Do: Prepare for the quiz.
Week of April 14 - April 18, 2008
Assignments Made on:
 Monday: Study: 2.1, 2.2, 1.4 (for explanation of notation) Do: 1.(The Priciple of Inclusion and Exclusion) Suppose in some set, a elements have property A and b elements have property B, anb elements have both properties. How many elements are there that have at least one of the two properties? 2. (The Rule of Sum) Suppose in some set of aUb elements, anb elements have both property A and property B, and b elements have property B. How many elements have only property a? 3. (The Product Principle) Suppose you have a possibilities for the first item on a list and b possibilities for the second, and your choice for the first thing on the list doesnt affect your second. How many different lists can you make? Suppose you have a possibilities for the first item, b for the second, c for the third, and so on, and no choice affects any other. How many different lists of length 10 can you make? 4. (Extension of the Product Principle) Suppose you have a set of size n. How many lists of length k can you make without any item repeating? Of length n? 5. Label each part of the first 16 problems (of the handout) with which principle or rule should be used in solving it. 6. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that one of the easiest ways to remember something is to connect it to personal experience, either directly or by analogy.) 7. What is a test question you think you might be asked about an important concept from today's lesson? Wednesday: Study: 2.3, 2.4 Do: 1. Exercises 2.2 A, #1 2. Exercises 2.2 A, #4 3. Exercises 2.3 A, #1 4. Exercises 2.4 A, #7 5. Exercises 2.4 A, #10 6. Write up the proof of Theorem 2 in your own words. 7. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that one of the easiest ways to remember something is to connect it to personal experience, either directly or by analogy.) What is a test question you think you might be asked about an important concept from today's lesson? Friday: Study: Lecture notes, homework problems Do: Prepare for the quiz.
Week of April 21 - April 25, 2008
Assignments Made on:
 Monday: Study: Chapter 3, esp. 3.1, 3.2 Do: 1. Exercises 3.1 B, #1 2. Exercises 3.1 B, #4 3. Exercises 3.2 A, #1 4. Exercises 3.2 B, #8 5. Write out completely your explanation of the probability puzzle you chose today in class and its solution, using the terms and concepts from the textbook such as sample space, events, uniform distribution, et c. 6. What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that one of the easiest ways to remember something is to connect it to personal experience, either directly or by analogy.) 7. What is a test question you think you might be asked about an important concept from today's lesson? Wednesday: Study: Chapter 3 Do: What is one "big idea" from today's lesson? How will you remember this? (Hint: Studies show that one of the easiest ways to remember something is to connect it to personal experience, either directly or by analogy.) What is a test question you think you might be asked about an important concept from today's lesson? Friday: Study: Lecture notes, homework problems Do: Prepare for the quiz. Annalies Z. Vuong
Last updated June 24, 2010 10:49:55 EDT