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    자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >수학
  • 강의학기
    2017년 2학기
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    3,550
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강의계획서
강의계획서
This lecture is consisted of vectors (Chap. 11, 12, 15), partial derivatives (Chap. 13), and multiple integrals (Chap. 14). The vector section deals with relationship between vectors and geometry and vector calculus such as intergral and derivatives. In partial derivatives, functions of two or more variables and the basic idea of diffrential calculus to such funtions will be studied. Finally, we extend the idea of a definite integral to double and triple integrals of functions of two or three variables.
Vectors and the Geometry of Space
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차시별 강의

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1. 비디오 Vectors and the Geometry of Space Three-dimensional coordinate systems, Vectors, and The dot product URL
비디오 Vectors and the Geometry of Space Projection, The cross product URL
2. 비디오 Vectors and the Geometry of Space equations of lines and planes URL
비디오 Vectors and the Geometry of Space Cylinders and quadric surfaces URL
3. 비디오 Vector functions Vector functions and space curves, Derivatives and integrals of vector functions URL
비디오 Vector functions Arc length and curvature URL
비디오 Vector functions Tangential and Mormal components of acceleration, Kepler's Laws of Planetary Motion, Graphs URL
4. 비디오 Partial derivatives Limits and continuity, Partial derivatives, Higher Derivatives URL
비디오 Partial derivatives Tangent planes and linear approximations, and The chain rule URL
5. 비디오 Partial derivatives Directional derivatives and the gradient vector URL
비디오 Partial derivatives maximum and minimum values, Lagrange multipliers URL
6. 비디오 Multiple integrals Doulbe integrals over rectangles and iterated integrals URL
비디오 Multiple integrals Double integrals over general regions and double integrals in polar coordinates URL
7. 비디오 Multiple integrals Applications of double integrals URL
비디오 Multiple integrals surface area, and triple integrals URL
8. 비디오 Multiple integrals Triple integrals in cylindrical coordinates and spherical coordinates, URL
비디오 Multiple integrals Change of varialbles in multiple integrals URL
9. 비디오 Vector calculus Vector fields URL
비디오 Vector calculus line integral and the fundamental therom for line integrals URL
10. 비디오 Vector calculus Surface integrals URL

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