TOPICS IN GEOMETRY MATH
302
Instructor: Ilya Kapovich
Spring 2003 Section B1
MWF, 9am Altgeld Hall, rm 143
WWW: http://www.math.uiuc.edu/~kapovich/302-03/302-03.html
The Final exam will take place on Saturday, May 10, 2003 at 8:00-11:00am
in our regular classroom.
Please make sure now that this
time is acceptable for you. (If not, you urgently need to adjust your registration
now!!!) Keep in mind that I will not entertain any requests for "conflict"
final exams from people who do not have what the university officially
recognizes as a "conflict". See
the official university rules about exam conflicts here.
The final exam will be cumulative; however a few chapters
discussed in class will be excluded. Here is a complete list of chapters
that will be covered by the final exam: 1.2, 2.6, 3.1-3.6,
5.5, 6.1-6.4, 6.6. During the exam you are allowed to
use the list of SMSG axioms, a calculator and one 8''x11'' sheet of notes
and formulas. The use of textbooks or lecture notes is not allowed during
the exam. There will be ten problems on the final exam.
The Final exam has been graded and the grades have been posted via Score
Reports. As explained at the bottom of the page, the quiz score and the
h/work score were weighted to a maximum of 90 points when the course point
total was computed. I added all the extra credit points for the challenge
problems to the FIRST MIDTERM EXAM SCORE. Thus the maximum possible
point total was 200 +100+100+90+90=580 points. You should see your
point total as well as your letter grade score for the course in your Score
Reports record. As was announced in the beginning of the semester, this
course is NOT curved (in the sense of assigning a particular grade to a
particular percentage of people). The grade cut-off levels were:
| Grade |
A+ |
A |
A- |
B+ |
B |
B- |
C+ |
C |
C- |
D+ |
D |
D- |
F |
| Points |
557.3-580 |
534.6-557.2 |
512-534.2 |
491.3-511.9 |
470.6-491.2 |
450-470.5 |
425.6-449.9 |
401.3-425.5 |
377-401.2 |
344.6-376.9 |
312.3-376.8 |
280-312.2 |
<280 |
Next week I will be in my office
during my regular office hours (Tuesday, May 13 and Thursday, May 15, 10-11:50am).
If you wish to discuss your grade and take a look at your final, you can
see me then. I will submit the grade roster on Friday, May 16.
Office
and Contact info:
Office: Illini Hall 328
Office Hours: Tuesday, Thursday 10-11:50am (and
at other times by appointment)
Tel.: 265-0633
e-mail: kapovich@math.uiuc.edu.
Grader: Mr Dong-il Kim, dikim@math.uiuc.edu
Course information:
-
Textbook: "Roads to Geometry" by Wallace
and West (2-d ed), Prentice Hall
-
SCORE
REPORTS , including the grades for exams and
quizzes
-
A
list of definitions and notations of neutral geometry
-
EXAM
1 with solutions
-
EXAM
2 with solutions
-
Quiz
2 with solutions
-
Quiz
3 with solutions
-
Quiz
4 with solutions
-
Quiz
5 with solutions
-
Quiz
8 with Solutions
-
Quiz
9 with Solutions
-
Quiz
10 with Solutions
-
Quiz
11 with Solutions
-
Challenge
Problem 2 (due Wednesday, March 19) and its Solution
-
Challenge
Problem 3 (due Wednesday, April 9)
-
Challenge
Problem 4 (due Wednesday, May 7) and its Solution
-
Homework assignments:
-
Due date extended till Wednesday, Jan 29: Ch 1.2 (from the new edition
of the book), no. 5, 6, 8, 15 [SOLUTIONS]
-
Due Monday, February 3: Ch. 2.2 no. 2,4,7,8,13 [SOLUTIONS]
-
Due Monday, February 10: Ch. 2.4 no. 4, 6, 7, 11; Ch. 2.6 no 2,3,
11
-
Due Monday, February 17: Ch 3.2 no. 1, 4, 6, 7, 9 [SOLUTIONS]
-
Due Wednesday, February 26: Ch. 3.3, no. 2,
3, 5, 7, 8
-
Due Wednesday, March 5: Ch. 3.4 no. 1, 2, 3, 7, 11
-
Due Wednesday, March 12: Ch. 3.5 no. 1,2,3; Ch. 3.6 no. 1, 2 [SOLUTIONS]
-
Due Wednesday, March 19: Ch. 3.6 no. 4, 6, 8, 10, 11, 22
-
Due Wednesday, April 2: Ch. 6.2 no. 1, 2, 3, 4, 5
-
Due Wednesday, April 9: Ch. 6.3 no. 1, 2, 4, 6, 9
-
Due Wednesday, April 16: Ch. 6.4 no. 1, 6, 7, 12, 16 [SOLUTIONS]
-
Due Wednesday, April 30: Ch. 5.5 no. 2, 4, 5, 7, 10
-
Due Wednesday, May 7: Ch. 6.6 no. 4, 5, 6, 8, 13, 28
Approximate syllabus (to be adjusted later):
-
Ch 1.1-1.2 Axiomatic method
-
Ch 2.2 Euclid's Geometry and Euclid's Elements
-
Ch. 2.3-2.5 Modern Euclidean Geometries: Hilbert's
and Birkhoff's Models
-
Ch. 2.6 SMSG axioms
-
Ch. 2.7 Non-Euclidean Geometries
-
Ch. 3.1-3.2 Introduction to Neutral Geometry
-
Ch. 3.3 Congruence Conditions
-
Ch. 3.4 Parallel lines
-
Ch. 3.5 Saccheri-Legendre Theorem
-
Ch. 3.6 Rectangles
-
Ch. 6.1-6.2 Introduction to Non-Euclidean Geometries
-
Ch. 6.3 The Hyperbolic Parallel Postulate
-
Ch. 6.4 Hyperbolic Polygons
-
Ch. 6.5 Areas in Hyperbolic Geometry
-
Ch. 5.5 Inversions
-
Ch. 6.6 Models for Hyperbolic Geometry
How this course is graded.
-
There will be two one-hour exams during the semester.
-
There will be a quiz every Wednesday (with a few exceptions).
-
Homework will be collected every Monday and graded, starting
with the h/work due Monday, February 10. No late homework will be accepted!
-
The final exam contributes a maximum of 200 points towards
your course total. Each midterm is worth at most 100 points. The quizzes
contribute a maximum of 90 points and the h/works contribute a maximum
of 90 points. The lowest quiz grade and the lowest h/work grade will be
dropped at the end of the term. I may also assign a number of extra points
for active class participation (particularly, for regular h/work completion).
The maximum course point total is 580 points.
-
There is NO CURVE in this course.
-
The final exam is cumulative and will take place on Saturday,
May 10, 2003 at 8:00-11:00am
-
For each of the midterms and and for the final exam you
are allowed to use a calculator and one two-sided 8''x11'' sheet of notes.
-
All the grades (midterms, quizzes, final) will be posted
via SCORE REPORTS. Please check your grades regularly for completion
and accuracy.