Most recent assignments

Our final exam will take place on Wednesday, December 14, 2005, from 1:00 P.M. to 3:00 P.M. in the usual classroom. The exam will be comprehensive with an emphasis on Chapter 6.

There is a typographical error in the statement of Proposition 3.21 in our textbook. In Part (c), the first inequality should be “>”, not “<”. Specifically, Part (c) should read as follows:

If angle P > angle Q and angle Q is congruent to angle R, then angle P > angle R.

For each assignment, do the “Exercises” (not the “Review Exercises”), unless noted otherwise.

Assignments

1. Chapter 1: 1, 2aef, 5, 9, 10, 13
   Due August 31, 2005

2. Chapter 2, "Review exercises": 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
   Due September 2, 2005

3. Chapter 2, "Exercises": 2, 3, 4, 5
   Due September 2, 2005

4. Chapter 2, "Exercises": 6
   Due September 9, 2005

5. Chapter 2, "Exercises": 7, 9a, 9d, 9e, 11
   Due September 16, 2005
   Hint: Avoid proofs in these problems. Just give the requested interpretation or model, or give the answer requested.

6. Exercise for graduate students only:
   Chapter 2, "Exercises": 10a
   Due September 28, 2005
   Hint: Read the subsection on "Isomorphism of Models." Do an essay style proof.

7. Chapter 3, "Exercises": 1a, 1b, 1c, 2a, 2b, 2c
   Due September 19, 2005
   Note: Write proofs. In each case, provide a list of numbered statements.

8. Chapter 3, "Exercises": 9, 14
   Due September 26, 2005

9. Chapter 3, "Exercises": 20, 24, 25
   Due September 30, 2005

10. Chapter 3, "Exercises": 26, 27, 32
    Due October 7, 2005

11. Chapter 3, "Exercises": 34 and 35
    Due October 14, 2005
    Notes: In Problem 34, give an essay style proof. In Problem 35, do only the parts that ask for a drawing. Give the drawing and any explanation that should go along with the drawing.

12. Chapter 4, "Exercises": 10, 11, 12
    Due October 17, 2005
    Note 1: In Problem 12, use Pasch's Theorem. Some of the steps in Problem 12 may be complicated.
    Note 2: Problem 10 is asking you to prove Proposition 4.1.

13. Chapter 4, "Exercises": 27
    Due October 19, 2005

14. Chapter 4, "Exercises": 15
    Due October 26, 2005
    Note: The angle sum of a triangle is the sum of the degree measures of the angles of the triangle.

15. Chapter 4, "Exercises": 4, 5
    Due October 31, 2005
    

16. Chapter 4, "Exercises": 1a, 1b, 1c, 18 (first part), 19, 20
    Due November 7, 2005

17. Chapter 5, "Exercises": 1, 2, 3
    Due November 14, 2005
    Note: You may assume that you have done Exercise 23 in Chapter 4.
    

18. Chapter 5, "Exercises": 4
    Due November 16, 2005
    Note: Problem 4 mentions quadrilateral ABCD. Change this to ABDC.
    Note: In Problem 4, do parts (a), (b), (c), and (d). You may wish to read the paragraph that follows these parts, but you do not have to prove any of the statements listed in that paragraph.

19. Chapter 5, "Exercises": 7(a), 14
    Due November 18, 2005
    Hint: Euclid's fifth postulate is stated on page 128.
    Hint: Your solution to Problem 14 should be very short.
    

20. Chapter 6, "Exercises": 1, 5
    Due November 30, 2005
    Hint: For Exercise 1, use Lemma 6.2 and Theorem 4.3 as necessary.
    Hint: Read the comment block at the top of the "Exercises" section.

    Most recent assignments:

21. Chapter 6, "Exercises": 2, 3, 4, 15
    Due December 5, 2005
    Note: I have added problems to this assignment. This assignment originally included just one problem. It now includes four problems.
    Hints: In Problem 15, do not give any proofs. Feel free to browse through the book and use things you find. In Problem 15, you may use the results of exercises even if you don't actually do the exercises. Include at least 15 statements in the list that you make in your solution to Problem 15.

22. Chapter 6, "Exercises": 8
    Due December 8, 2005
    Notes: Skip the part following the hint. Assume you have done Exercise 7.
    Notes: The last regular meeting of our class will be on Wednesday, December 7, 2005. The last homework problem is due the following day. Come to my office to hand it in. If I am not available, give it to the secretary in the Mathematics Department. If you will not be around the campus on December 8, then please hand the problem in before then. Also, remember that we have the final exam the following week.

    ---- End of assignments for Geometry ----
    

Lawrence J. Peterson home page

Department of Mathematics home page

University of North Dakota home page

Contact Person: Larry Peterson
E-mail: lawrence.peterson@und.nodak.edu
Phone: (701) 777-4609
Date of most recent update: 2 December 2005
University of North Dakota home page