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Tue Jan 7, 2025
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Topics: Course Overview; Notions from Linear Algebra
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2:15pm
to
4:20pm
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Thu Jan 9, 2025
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Topics: Notions from Linear Algebra Notions
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2:15pm
to
4:20pm
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|
Reading 1
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due by 2:15pm
|
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Tue Jan 14, 2025
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Topics: Vector Fields, Integral Curves & Systems of ODEs
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2:15pm
to
4:20pm
|
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Thu Jan 16, 2025
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Topics: Vector Fields, Integral Curves & Systems of ODEs; Surfaces & Tangent Spaces
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2:15pm
to
4:20pm
|
|
Reading 2
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due by 2:25pm
|
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Tue Jan 21, 2025
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Topics: Surfaces, Tangent Spaces & the Implicit Function Theorem; Orientation on Vector spaces
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2:15pm
to
4:20pm
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Thu Jan 23, 2025
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Topics: Orientation & Vector Fields on Surfaces
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2:15pm
to
4:20pm
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Homework 1
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due by 2:25pm
|
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Tue Jan 28, 2025
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Topics: Functions on Surfaces, Local Extrema & Lagrange Multipliers
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2:15pm
to
4:20pm
|
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Reading 3
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due by 2:25pm
|
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Thu Jan 30, 2025
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Topics: The Gauss Map; Geodesics, Covariant Differentiation & Parallel Transport
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2:15pm
to
4:20pm
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Tue Feb 4, 2025
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Geodesics & Parallel Transport
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2:15pm
to
4:20pm
|
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Thu Feb 6, 2025
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Differentiating Vector Fields, the Weingarten Map & Self-Adjoint Transformations
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2:15pm
to
4:20pm
|
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Homework 2
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due by 2:25pm
|
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Tue Feb 11, 2025
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Differentiating Vector Fields, the Weingarten Map & Self-Adjoint Transformations; Curvature of Plane Curves; Arc Length & Line Integrals
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2:15pm
to
4:20pm
|
|
Reading 4
|
due by 2:25pm
|
|
Thu Feb 13, 2025
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Curvature of Plane Curves; Arc Length & Line Integrals
|
2:15pm
to
4:20pm
|
|
Reading 5
|
due by 2:25pm
|
|
Tue Feb 18, 2025
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Curvature of Surfaces
|
2:15pm
to
4:20pm
|
|
Thu Feb 20, 2025
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Parametrized Surfaces
|
2:15pm
to
4:20pm
|
|
Tue Feb 25, 2025
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Exponential Map
|
2:15pm
to
4:20pm
|
|
Homework 3
|
due by 2:25pm
|
|
Thu Feb 27, 2025
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Topics: TBD
|
2:15pm
to
4:20pm
|
|
Tue Mar 4, 2025
|
Topics: TBD
|
2:15pm
to
4:20pm
|
|
Thu Mar 6, 2025
|
Topics: TBD
|
2:15pm
to
4:20pm
|
|
Wed Mar 12, 2025
|
Term Project
|
due by 8am
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