The City College of New YorkCCNY
Department of Mathematics
Division of Science

Professor Auth's Modern Geometry Page

Final Exam (Proofs/Project)

Final Exam Proof/Interview. This component of the final will now be for you to work on alone instead of on blackboard ultra. Please complete this component in 30 minutes and then email me your answers no later than Friday 22 May at 11:59pm. You may not use any electronics, notes, or course materials while working on this part. You may not talk with anyone while working on this part.

Blackboard Ultra

Lectures TuTh 11am-12:15

Office Hours Fr 9-11am

Syllabus

Syllabus

Revised syllabus due to COVID/remote instruction

Your final course grade will now be computed using the following grading factors: 1. HW Quizzes (average): 15% (lowest hw grade will be dropped). 2. Final Exam: 85% (If your final exam grade is better than your HW Quiz average then your final exam score will be counted as your final course grade.)

(old) Exercises

Assigned problems before March 24

Lecture Slides

Week of March 24

Week of April 2

Week of April 14

Week of April 21

Week of April 28

Week of May 5 and May 12

Exercise Sheets

Week of March 24(partial solutions)

Week of April 2(partial solutions)

Week of April 14 and April 21(partial solutions)

Week of April 28

Week of May 5 and May 12

What is modern geometry and how does it differ from Euclidean (classical) geometry?

"What is the Geometry of the Universe?" Quanta Magazine

Non-Euclidean geometry

Texts

Planimetry (download first chapter)

Elementary Differential Geometry by Andrew Presley 2nd Edition 2010 (free download from ccny library)

What is Mathematics by Courant (free download)

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