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Shackleford
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It's mainly designed for those who want to teach at a junior college or whatever. I plan to stay in oil and gas, and I'm going to take:
MATH 5350: INTRODUCTION TO DIFFERENTIAL GEOMETRY. Prerequisites: Three semesters of calculus, or consent of instructor. Multi-variable calculus, linear algebra, and ordinary differential equations are used to study the geometry of curves and surfaces in 3-space. Topics include: Curves in the plane and in 3-space, curvature, Frenet frame, surfaces in 3-space, the first and second fundamental form, curvature of surfaces, Gauss’s theorem egregium, and minimal surfaces.
I'm not concerned about analysis, because I did well in undergrad and have a strong interest in it. However, I took Cal III in 2008, so I'm a bit rusty in it. I do have my calculus textbook. What, specifically, should I review to prepare for the differential geometry class? Moreover, there is no assigned textbook; the professor will provide the notes. What's a good differential geometry textbook that I can use to supplement the class? Thanks.MATH 5333: ANALYSIS. Prerequisites: Three semesters of calculus, or consent of instructor. A survey of the concepts of limit, continuity, differentiation and integration for functions of one variable and functions of several variables; selected applications are used to motivate and to illustrate the concepts.