MATH230
DIFFERENTIAL GEOMETRY
- Department
- Mathematics
- Terms offered
- 5
- Data refreshed
- Jun 30, 2026
Description
Section information text: Spaces such as curves and surfaces, along with their higher dimensional generalization, the manifold, are studied in this course. Local properties, defined initially in the vicinity of a point, are examined along with global ones, which concern the space as a whole. A main theme is the interplay between the notion of distance, and that of curvature. The latter comes in many forms, such as the Gauss curvature, mean curvature and principal curvatures, all related instances of a multifaceted concept. The techniques used in this study have their origin in Calculus, especially Multivariable Calculus. Differential Geometry is renowned for its applications in Physics, most notably General Relativity. In its modern form it has been utilized in many other disciplines, ranging from Architecture to Economics. Some of these will be touched upon if time permits.
Syllabi
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Offering history & forecast 2013–2022
| Year | Fall | Spring | Summer | Intersession |
|---|---|---|---|---|
| 2030 | 2030 Fall: 19% chance, medium confidence. Offered in 3 of 9 fall terms since 2018. | 2030 Spring: 7% chance, medium confidence. Offered in 0 of 9 spring terms since 2018. | 2030 Summer: 7% chance, medium confidence. Offered in 0 of 9 summer terms since 2018. | 2030 Intersession: 8% chance, medium confidence. Offered in 0 of 6 intersession terms since 2020. |
| 2029 | 2029 Fall: 19% chance, medium confidence. Offered in 3 of 10 fall terms since 2017. | 2029 Spring: 8% chance, medium confidence. Offered in 1 of 10 spring terms since 2017. | 2029 Summer: 6% chance, medium confidence. Offered in 0 of 10 summer terms since 2017. | 2029 Intersession: 7% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017. |
| 2028 | 2028 Fall: 19% chance, medium confidence. Offered in 3 of 11 fall terms since 2016. | 2028 Spring: 8% chance, medium confidence. Offered in 1 of 10 spring terms since 2017. | 2028 Summer: 5% chance, medium confidence. Offered in 0 of 11 summer terms since 2016. | 2028 Intersession: 7% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017. |
| 2027 | 2027 Fall: 19% chance, medium confidence. Offered in 3 of 12 fall terms since 2015. | 2027 Spring: 8% chance, medium confidence. Offered in 1 of 10 spring terms since 2017. | 2027 Summer: 5% chance, high confidence. Offered in 0 of 12 summer terms since 2015. | 2027 Intersession: 6% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017. |
| 2022 | 1 section | Not offered | Not offered | Not offered |
| 2021 | Not offered | Not offered | Not offered | Not offered |
| 2020 | 1 section | Not offered | Not offered | Not offered |
| 2019 | Not offered | Not offered | Not offered | No data for this term |
| 2018 | 1 section | Not offered | Not offered | No data for this term |
| 2017 | Not offered | 1 section | Not offered | Not offered |
| 2016 | Not offered | Not offered | Not offered | No data for this term |
| 2015 | Not offered | Not offered | Not offered | No data for this term |
| 2014 | Not offered | Not offered | Not offered | No data for this term |
| 2013 | 1 section | Not offered | Not offered | No data for this term |
Future estimates combine recent offering frequency with detected multi-year cycles. Hover a cell for confidence and evidence; low-confidence estimates are marked with ~.
Meeting times
Most recent firstNo meeting times recorded for this course.
| Term | Professor | Type | Credits | Enrollment | CRN |
|---|---|---|---|---|---|
| Fall 2022 | Robert O. Ream | Lecture | 1 | 8 of 25 enrolled | 21758 |
| Fall 2020 | Aghil Alaee Khangha | Lecture | 1 | 9 of 12 enrolled | 27991 |
| Fall 2018 | Gideon Bahir-Maschler | Lecture | 1 | 7 of 25 enrolled | 26556 |
| Spring 2017 | Gideon Bahir-Maschler | Lecture | 1 | 5 of 25 enrolled | 35762 |
| Fall 2013 | Gideon Bahir-Maschler | Lecture | 1 | 17 of 24 enrolled | 23080 |