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\section*{Math 162AB: Introduction to Differential Geometry}

\textbf{Text:} 
\emph{Differential Geometry of Curves and Surfaces}, Manfredo P. Do Carmo

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Chapter 1

Chapter 2

Chapter 3-1 to 3-4

Chapter 4-1 to 4-5

If time permits, cover Chapter 3-5 or Chapter 4-6 and 4-7.

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The punch line for the 2-quarter course is Gauss-Bonnet Theorem.  The instructor should adjust the speed according to the level of the students.
I recommend that the student should have a good understanding of linear algebra - the theorectical side rather than just matrix manipulation.  Also, multi-variable calculus should be required (H2E or 140D)


% Contributed by : P. Li, 11/07

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