## 주메뉴

### 수학 및 연습2

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자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >수학
• 강의학기
2017년 2학기
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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

#### 차시별 강의

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

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