4.2 Stokes Theorem
4.3 Poincare's Theorem
5.2 Surfaces in R^3
5.3 Intrinsic Geometry of Surfaces
6.2 The Theorem of Morse
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| Instructor | |||
| Name | Jin, Gyo Taek | ||
| Office | 4404 Natural Sciences Building | ||
| Office Hour | Tuesday and Thursday 10:30-11:30 am | ||
| Phone | 042-869-2724 | ||
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| Textbook | |||
| Differential Forms and Applications, Manfredo P. do Carmo, Springer-Verlag, 1994 | |||
| Lectures | |||
| 9:00-10:15 am Every TUE and THU, rm 3431 Nat.Sci.Bldg. | |||
| Contents | |||
| Chapter 1 | Differencial Forms in R^n | ||
| Chapter 2 | Line Integrals | ||
| Chapter 3 | Differentiable Manifolds | ||
| Chapter 4 | Integration on Manifolds | ||
| 4.1 Integration of Differential Forms 4.2 Stokes Theorem 4.3 Poincare's Theorem |
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| Chapter 5 | Differential Geometry of Surfaces | ||
| 5.1 The Structure Equations of R^n 5.2 Surfaces in R^3 5.3 Intrinsic Geometry of Surfaces |
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| Chapter 6 | Gauss-Bonnet Theorem and Morse Theorem | ||
| 6.1 The Theorem of Gauss-Bonnet 6.2 The Theorem of Morse |
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| Exams | |||
| Midterm Exam | Chapters 1-3, Tuesday April 24, 9-11am | ||
| Final Exam | Chapters 4-6, Tuesday June 19, 9-11am | ||
| Grading | |||
| Homeworks | 30% | ||
| Midterm Exam | 35% | ||
| Final Exam | 35% | ||
| Handout Sheet | |||
| DVI FILE | Download Viewer (TeXplus) | ||
| PS File | Download Viewer (Ghostscript & GSview) | ||