COURSE SYLLABUS

Course Number: MATH6390
Course Title: INTERMEDIATE EUCLIDEAN GEOMETRY II
Credit Hours: 3
Prerequisites: MATH6380
Corequisite: 

Objectives: 
A continuation of MATH 6380.  An outline of the fundamental concepts and theorems of plane and solid Euclidean geometry with an introduction to higher dimensions. Regular polygons and polyhedra, symmetry groups, convexity, geometric extremum  problems. Geometric transformations and their invariants.

Course content: (30 class days +11 days for solving problems + 4 days for tests)
Review of basic techniques to prove geometric facts. (3 days)
Advanced constructions using compass and ruler only. (3 days)
Additional five theorems which every teacher must know.  (5 days)
Planar graphs and Euler's theorem. (4 days)
Symmetries in the plane. The symmetry group of a set. (4 days)
Homotheties and similitudes. (4 days)
Path, arcs and length of curves. (3 days)
The circle; part 1: Approximation by regular polygons. (2 days)
The circle; part 2: The isoperimetric property. (2 days)

Possible textbooks:
 Notes prepared by W. Kuperberg

Grading and Evaluation Procedures:
Quizzes, tests, final exam. Other methods of evaluation are used at the discretion of the instructor.

Statement related to polices on unannounced quizzes and class attendance and participation: 
Individual instructorss have different policies concerning class participation, homework grades and attendance, which are announced at the beginning of the semester.