Math 3308 Conceptual Algebra

Spring 2005

Dr. Duval

Reading assignment

Until spring break, continue to read sections 8.1-8.4 from the Student Resources Manual (blue book) on functions and their graphs.

Homework assignments

(Unless otherwise noted, all homework assignments will be from the "Exercises & More" section at the end of each chapter.)

Ch. 4: 2, 4, 8, 10, 39(using 225 trees).
Ch. 4: 26, 28, 30.
Ch. 4: 14, 16, 32, 36, 38.
Ch. 6: 6, 10, 14, 16, 24.
Ch. 6: 12, 32, 36.
Ch. 6: 20, 22, 26.
Activity 7.2 1, 2, 3, 4, 5.
Ch. 8 6, 8, 14, 20.
Ch. 8 26, 30, 34, 36.
Ch. 9 24, 36, 52, 56.
Ch. 9 14, 18, 42, 44, 48, due Thu. 21 Apr.

Activity reports

Activity 4.4: This is a group report.

Activity 6.6: You may work in pairs or individually.
Add the following questions:
Activity 7.3: This is an individual report.
Add the following question:
Activity 8.4:This is an individual report.
In the second part of the activity ("Identifying Graphs of Functions"), only do part (a) for each of the four questions.

I am not adding any additional question at the end of this activity. But be sure that your "introduction" and "approaches" sections talk about common ideas in all the problems.

Activity 9.13:This is an individual report. Due Thu. 28 Apr.
This is largely a rephrasing of Activity 9.13. Start by doing the activities suggested there. Your report should answer the following question:

In the setup of Activity 9.13, where [triangle] ABC is allowed to be any triangle (not just the one shown in the book) and P is allowed to be any point inside or outside the triangle (in other words, anywhere except on the triangle itself), what can you say about [triangle] DEF?

As described in the activity report guidelines, explain why [triangle] DEF has these features, ideally with a careful proof, but, if you do not have a proof, then with numerous and carefully chosen examples that support your claim.

When you discuss your "approaches" in your report, do not explain how you built [triangle] DEF each time -- this is fairly routine. Instead focus on how you arrived at your solutions -- how you discovered [triangle] DEF has all the features you describe, and, if you do carefully prove that [triangle] DEF has all these features, how you figured out that proof.