MATH 6990 - Independent Study
Summer 2026 Syllabus, Section 02, CRN 31100,
Credit hours: 3
Course Meeting Times
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Instructor
Thomas Wakefield
Professional Qualifications:
PhD, Pure Mathematics
Professor
Email: tpwakefield@ysu.edu
Office: Cafaro Hall 501
Office Phone: 330-941-3302
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Course Description
6990. Independent Study. Study under the supervision of a staff member. Prereq.: Consent of graduate coordinator. May be repeated. 3 s.h.
Topics may include a review of Euclidean geometry, non-Euclidean geometry, transformations, symmetry, and finite, discrete, and differential geometry.
Course Readings
| Group | Title | Author | ISBN |
|---|---|---|---|
| Required | Thinking Geometrically: A Survey of Geometries | Sibley, Thomas |
The course readings are subject to change in the event of extenuating circumstances, research developments, current events, and/or to ensure better learning.
Assignments/Assessments
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Schedule of Topics and Assignments
| Week of | Reading(s) | Proposed Topic | Due/To Prepare for Class |
|---|---|---|---|
| 5/11 | Chapters 1-2 | Euclidean Geometry/Axiomatic Systems | Euclidean Exercises |
| 5/18 | Chapter 3 | Analytic Geometry | Analytic Geometry Exercises |
| 5/25 | Chapter 4 | Non-Euclidean Geometry | Non-Euclidean Exercises |
| 6/1 | Chapters 5-6 | Transformations and Symmetry | Transformations Exercises |
| 6/8 | Chapter 7 | Projective Geometry | Projective Exercises |
| 6/15 | Chapter 8 | Finite Geometries | Finite Geometry Exercises |
| 6/22 | Chapters 9-10 | Differential and Discrete Geometries | Differential Exercises |
The course schedule, policies, procedures, and assignments in this course are subject to change in the event of extenuating circumstances, by mutual agreement, and/or to ensure better learning.