國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第12講 Parametrized Surfaces and Tangent Vectors

Array ( [0] => Array ( [title] => L12A [link] => https://www.youtube.com/embed/MmAq2dw_9U8 ) [1] => Array ( [title] => L12B [link] => https://www.youtube.com/embed/ndvIQFZlnmc ) [2] => Array ( [title] => L12C [link] => https://www.youtube.com/embed/PdyD16WAyGM ) ) 國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第12講 Parametrized Surfaces and Tangent Vectors

國立清華大學開放式課程

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03-5715131#35401 mengfen@mx.nthu.edu.tw 吳小姐

國立清華大學開放式課程

Title

第12講 Parametrized Surfaces and Tangent Vectors

第1節

L12A

第2節

L12B

第3節

L12C

Syllabus

章節大綱

L12A
1. Definition: Parametrized Surfaces and Regular Parametrized Surfaces
2. Example: The Tangent Surface

L12B
1. Proposition: A Regular Parametrized Surface Is Locally
a Regular Surface
2. Definition: Tangent Vectors

L12C
1. Proposition: Relation Between T_p(S) and dx_q(R^2)
2. Proposition: The Tangent Plane to f^{-1}(a) Is the Kernel of df_p

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