. Geometry for Teachers, MTH 623 Fall 2019

Geometry for Teachers

MTH 623 Section 48923 Fall 2019

Monday & Wednesday, 4:40 pm - 6:20 pm, Room 4S-217


Instructor: Abhijit Champanerkar
Office: 1S-230
Phone: 718-982-3613
Email :
Office Hours: Mondays 1-2 pm & Wednesdays 1 - 2pm, 6:30 - 7:30 pm
Class Homepage: http://www.math.csi.cuny.edu/abhijit/623/
Academic Calender

Course Description: This course will cover classical Euclidean geometry, and modern non-Euclidean geometries. Topics include - Classical Euclidean Geometry, Planar isometries and patterns, Spherical geometry, Euler's formula, Regular polyhedra, and other related topics.

Required textbook: Geometry from Euclid to Knots by Saul Stahl, Dover Publications, ISBN: 0486-47459-3

Additional references:
Homework and Quizzes: Homework problems will be posted on class homepage. I highly recommend working jointly on homework problems with fellow students. Homework will be collected and graded. We will also have in-class quizzes which will be announced in advance.


Exams and Reports: We will one midterm exam during the semester, a course report and a final exam.

Grading: The course grade will be determined as follows: 20% Homework/Quizzes + 30% Midterm Exam + 20% Report + 30% Final Exam.

Optimal Method of Study: (1.) Come to class (attendance is mandatory). (2.) Read the relevant sections and websites after class. (3.) Do the homework. Leave time to think--do not put homework off until it is due! (4.) Form study groups and discuss with other students. (5.) Come to office hours or email with any questions.

Attendance is mandatory. Cell phone usage of any kind during class is not allowed. Academic dishonesty and cheating will not be tolerated. Please see CUNY's Academic Integrity Policy.

Announcements
  1. Homework 2 is due on Monday Sept 23rd
  2. Midterm Exam postponed to Wednesday Oct 30
  3. No class on Wednesday Nov 27th.
  4. Reports due by Friday Dec 6th by email
  5. Short presentation (around 5 minutes) of report summary on Monday Dec 9th in class
  6. Homework 7 posted and due by Wednesday Dec 11th (last class).
  7. Final Exam on Wednesday Dec 18 during class time
  8. Class cancelled on Monday Dec 2nd Due to inclement weather in the New York - New Jersey region and hazardous driving conditions, our class on Monday Dec 2nd 2019 is cancelled.
  9. Sample problems for Final Exam posted. See below.
  10. Note that students agreed to the proposal to weigh midterm and final both to 30%.

Course syllabus and Homework

This give a tentative outline of the course. Links to homework, quizzes and other online resources and readings will be posted here during the course.

Lecture Date Topic Resources Homework etc
1 Wed 8/28 Chpt 2 Geometry of triangle Sections 1.1, 2.1, 2.2 hw 1 Due: Mon 9/9
2 Wed 9/4 Chpt 2 Geometry of triangle Sections 2.3
3 Thur 9/5 Chpt 2 Geometry of triangle Sections 2.3
4 Mon 9/9 Chpt 3 Nonneutral Euclidean Geometry Sections 3.1
5 Wed 9/11 Chpt 3 Nonneutral Euclidean Geometry Sections 3.2 hw 2 Due: Wed 9/25
6 Mon 9/16 Chpt 3 Nonneutral Euclidean Geometry Sections 3.3 - 3.4
7 Wed 9/18 Chpt 3 Nonneutral Euclidean Geometry Section 3.5
8 Mon 9/23 Chpt 4 Circle Section 4.1 hw 3 Due: Mon 10/7
9 Wed 9/25 Chpt 4 Circle Section 4.2
10 Wed 10/2 Chpt 4 Circle Section 4.3
11 Mon 10/7 Chpt 4 Circle Section 4.4 hw 4 Due: Mon 10/21
12 Wed 10/16 Chpt 5 Towards projective geometry Sections 5.1-5.2
13 Mon 10/21 Review for Midterm Exam
14 Mon 10/23 Chpt 5 Projective geometry Section 5.3 hw 5 Due: Wed 11/13
15 Mon 10/28 Chpt 6 Planar Symmetries Section 6.1
14 Wed 10/30 Midterm Exam Euclids Book 1 Handout Sample Questions
17 Mon 11/4 Chpt 6 Planar Symmetries Section 6.2 Rotations   Glide Reflections
18 Wed 11/6 Chpt 6 Planar Symmetries Section 6.3
19 Mon 11/11 Chpt 6 Planar Symmetries Section 6.4 - 6.5 hw 6 Due: Mon 11/25
20 Wed 11/13 Spherical geometry: points, lines Section 1.1   Polking's Notes  Shape of Space
21 Mon 11/18 Spherical geometry Polking's Notes 
22 Wed 11/20 Girard's Theorem (slides) Euler's Formula (slides) Polking's Notes  
Strogatz's article
23 Mon 11/25 Spherical Trigonometry hw 7 Due: Wed 12/11
24 Wed 11/27 No class
25 Mon 12/2 Taxicab Geometry
26 Wed 12/4 Hyperbolic Geometry
Report Due: Friday Dec 6th 		The geometry of whales
27 Mon 12/9 Report summary presentations
28 Wed 12/11 Review for Final Exam
Wed 12/18 Final Exam 4:40 - 6:20 4S-217 Sample Questions


Online Resources and related links: