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The hope is that, after the course, you will have an appreciation for the liveliness, diversity and connectedness of mathematics, and the excitement and pleasure of discovering mathematics, and that you would be comfortable to attack geometric problems using a combination of methods learned in this course.
Emphasis will be placed on geometric understanding and logical reasoning. As such, mere memorization of facts would be of little help. Nor can you complete most regular assignments by simply looking up a magic formula on a page from the texts. Instead, you should be prepared to fully participate in the discussions(in-class and out-class), do extra readings and research, develop and communicate your ideas. You may also try to use a combination of geometric exploration, model making, and thought experiments to help you in the learning process. Group discussions and brainstorms will be strongly encouraged. An important aspect of the course is to help you sort out your ideas and present them in a logical way. So it is expected that you present your work in a coherent way, using compelte English sentences. More guidelines are given below.
You may find a copy of our section's syllabus at http://math.rutgers.edu/~zchan/435syllabus.txt. It is subject to adjustment. Any updated information should be posted on this web page. However, the most accurate information will be from the lectures.
Some reference books will be put on reserve in Mabel Smith Douglass Library. You are encouraged to explore our libraries, the bookstores and the internet to find more readings.
List of References on Reserve:
Here is an online version of Euclid's Elements.
Homework and Quizzes:
You will have weekly
regular assignments(due each Thursday), and one or two writing assignments,
of term paper nature.
The regular assignments
are to help you work through the ideas discussed in class and gain a fuller
understanding of the technical aspect of the ideas. The writing assignments are
to provoke you to think more of the ``big" pictures of our subject, its
connections
with your real experience and other subjects, and to help you organize your
mathematical thinking in a coherent way and communicate with others effectively.
See the Assignment Grading Guidelines
below for what constitutes good/poor writing assignments.
Discussion and cooperation with each other is strongly encouraged at every
stage of the course work, except at the writing-up. In your submitted work,
ideas that come from other
people should be given proper attribution. If your work has emerged
from work with other people, write down whom you have worked with. If you have
referred to some sources, cite them.
Short quizzes may occasionally be given to test basic understanding on
concepts.
Attendance and Make-up Policy: Class attendance is expected. Poor attendance will be used to decide borderline grade situations. Any changes to the syllabus, homework assignment and any announcement for the midterms and final exam will be made in the lectures. No late work will be accepted. There will be no make-ups for quizzes. A make-up midterm will be given only if you have a valid reason such as serious illness (not a slight cold) or a family emergency, and provide an acceptable, written excuse (not an email message), or you will receive a grade of zero. If possible (particularly if you want to be sure that your excuse is an acceptable one), contact me before missing an exam.
Your course grade will be determined on the following basis:
Here are links to dated material, as our course progresses.
Some notes and homework for week 1.
Here is the homework for week 2, due in class on Thursday, September 19.
Here is the homework for week 3, due in class on Thursday, September 26.
Here is the homework for week 4, due in class on Thursday, October 3. Here is the solution.
Here is the homework for week 5, due in class on Monday, October 14. Here is the solution.
The midterm exam is scheduled on:
Here is the list of problems used on midterm1.
Here are some notes on the parallel postulates and the homework assignment, due Thursday, October 31.
Here are some notes on several foundational issues in Euclidean Geometry and an additional homework problem, also due Thursday, October 31.
Here is the writing assignment, with first draft due on Monday, November 18.
Here are some reading guides to the text "Geometry" by Brannan et al, and dated assignments.
Here are some suggestions for reviews and some supplementary problems.
The final exam is scheduled on Tuesday, December 17, 12-3pm, RAB204