Spring 2008

** Instructor:** Tom Cooney

** Email:** tcooney@math.uiuc.edu

** Classroom:** 141 Altgeld

** Time:** 12:00-12:50pm Monday, Wednesday, Friday

** Office:** 150 Altgeld

** Office Hours:** 2:00-2:50pm Monday, Wednesday, Friday or by appointment.

Math 119 is a general education course in mathematics for students who do not have mathematics as a central part of their studies. The goal is to convey the spirit of mathematical thinking through topics chosen mainly from geometry.

Homework assignments, exam dates and other course details will be posted on
this website.
Here is the syllabus.
You can check your grades at the compass website.

This course adheres strictly to the University's Student Code Part 4 Policy on Academic Integrity. Cheating of any kind on the homeworks, exams, or the final will result in a letter being placed in your permanent school file. A single very minor instance of cheating will be punished by a 0 on that exam, etc.. More serious offences or a second offence will result in an immediate F in the course. Any such student should feel free to continue attending the course and to continue learning (if they are not being disruptive) but their grade in the course will be an F. I would also like to add that any disruptive behaviour during any exams will result in a 0 on that exam and the student being asked to leave. If appropriate, more severe penalties will be imposed.

** Problem 1:** What is the idea behind constructible numbers? We start with the length 1 and we build our way step by step towards more complicated numbers. We have constructions for addition, subtraction, multiplication, division and square roots. Can you construct the numerator? Can you construct the denominator?

** Problem 2:** Can you construct the circumcenter? Draw a rough sketch of a triangle (including circumcenter and circumcircle) and mark off all distances and special features you can.

** Problem 3:** Have we seen how to use these pieces of information before? Have we seen an example of how to use an opposite angle? Is there anything related to this in the notes? (Hint: p.120)

Here is a pdf file that shows (in glorious technicolour) how we can do the problem we ended with on Friday, 18th of April. Opposite Angle and Median Problem .

Section 1.1: Problem 7.

Section 1.2: Problems 6, 21, 36, 46.

Section 1.3: Problems 10, 18, 20, 26, 29.

Due Date: Monday, the 4th of February.

Section 2.1: Problems 14, 18.

Section 2.2: Problems 2, 8, 18, 22, 27, 32, 38, 43.

Due Date: Monday, the 25th of February.

Section 3.1: Problems 13, 17

Section 3.2: Problems 5, 8, 10

Section 3.3: Problems 4, 6

Section 3.4: Problems 2, 22, 33

Due Date: Wednesday, the 26th of March.

Section 4.1: Problem 15 (What is the radius?)

Section 4.2: Problems 7, 8, 24, 26 (Use the information from
this file .)

Section 4.3: Problems 3, 10, 14, 33

Section 4.4: Problem 4.4 (Note: using compass and straightedge only)

Due Date: Monday, the 21st of April

You will be given a week's notice of the actual exam dates.
The hour exams will be held (in class) * near * the following dates:

Department of Mathematics College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Department Main Office Telephone: (217) 333-3350 Fax (217) 333-9576 |