MAT 360  Geometric Structures   Spring 2012 

Tue & Thu 2:20 - 3:40 p.m. S B Union 231

Instructor: Ljudmila Kamenova

e-mail: kamenova@math.sunysb.edu.
Office: Math Tower 3-115
Office hours: Wednesday 4-6 p.m. in 3-115 and Wednesday 1:30 - 2:30 p.m. in the MLC
Grader: Yongsheng Zhang, e-mail: yzhang@math.sunysb.edu

This is a course in planar geometry, covering both Euclidean and non-Euclidean geometries. It is assumed that you have already had a high-school course in Euclidean geometry (more precisely, know the geometry covered in MAT 200). Our approach will be primarily axiomatic. We will be doing a lot of proofs, so it is crucial that you be familar with basic logic and proof techniques (again, as covered in MAT 200).

Required text: Euclidean and Non-Euclidean Geometries , by Greenberg, 4th edition, Freeman, W. H. & Company

Other texts: Kiselev's Geometry, Book I. Planimetry , adapted from Russian by Alexander Givental, Sumizdat, El Cerrito, Calif., 2006.

Geometry Notes of the Stony Brook Mathematics Department: here

Oleg Viro's Lecture Notes on Inversions: here

Oleg Viro's Lecture Notes on Isometries: here

Oleg Viro's Lecture Notes on Similarity: here

Grading: There will be one midterm test given in class. The final course grade will be determined as follows: Homework: 40%, Midterm Test: 20%, Final Exam: 40%.

Midterm: Thursday, March 22nd in class

Final: Friday, May 11th from 11:15 a.m. to 1:45 p.m. in S B Union 231

Homework:

HW 1 (due on February 2nd): Write solutions to the following problems from [G]: Ch 1. Exercises 1, 2, 3, 4, Major exercise 1.

HW 2 (due on February 9th): Write solutions to the following problems from [G]: Ch 2. Exercises 1, 2, 3, 4 and 5. Also prove that the square root of 10 is not rational.

HW 3 (due on February 16th): Write solutions to the following problems from [G]: Ch 3. Exercises 1, 5, 16 (corresponds to 17 in the 3rd ed) and 18 (corresponds to 19 in the 3rd ed).

HW 4 (due on February 23rd): Write solutions to the following problems from [G]: Ch 3. Exercises 20, 24 and 30.

HW 5 (due on March 1st): Write solutions to the following problems from [G]: Ch 4. Exercises 2, 4 and 6.

HW 6 (due on March 8th): Write solutions to the following problems from [G]: Ch 4. Exercises 10, 11, 14, Major exercise 5.

HW 7 (due on March 15th): Write solutions to the following problems from [G]: Ch 6. Exercises 2, 5 and 7.

Midterm: Thursday, March 22nd, in class.

HW 8 (due on March 29th): Write solutions to the following problems from [G]: Ch 6. Exercises 6 and 8.

HW 9 (due on April 19th): Write solutions to the following problems from [G]: Ch 7. Exercises K-4 and K-5.

HW 10 (due on April 26th): Write solutions to the following problems from [G]: Ch 9. Exercises 36 and 38 (you may use problem 37 without proof).

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DSS advisory. If you have a physical, psychiatric, medical, or learning disability that may affect your ability to carry out the assigned course work, please contact the office of Disabled Student Services (DSS), Humanities Building, room 133, telephone 632-6748/TDD. DSS will review your concerns and determine what accommodations may be necessary and appropriate. All information regarding any disability will be treated as strictly confidential.

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