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자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >수학
강의학기

2015년 1학기

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강의계획서: 강의계획서

This course, Calculus, deals with limits, functions, derivatives, integrals, and infinite series. Calculus is a major part of modern mathematics, and has two major branches, differential calculus and integral calculus.

Applications of differential calculus include computations involving velocity and acceleration, the slope of a curve, and optimization. Applications of integral calculus include computations involving area, volume, arc length, center of mass, work.

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Course Syllabus (Overview)

차시별 강의

1.	Course Syllabus (Overview)	Course Syllabus
2.	1. FUNCTIONS AND MODELS.	.- Four Ways to Represent a Function. - Mathematical Models: A Catalog of Essential Functions. - New Functions from Old Functions.
3.	3. DIFFERENTIATION RULES.(2)	.- Implicit Differentiation - Inverse Trigonometric Functions and their Derivatives.
4.	3. DIFFERENTIATION RULES. (3) 5. INTEGRALS.(1)	.- Derivatives of Logarithmic Functions - Areas and Distances. - The Definite Integral.
5.	5. INTEGRALS.(2)	.- Evaluating Definite Integrals - The Fundamental Theorem of Calculus. - The Substitution Rule
6.	5. INTEGRALS.(3)	.- Integration by Parts. - Additional Techniques of Integration
7.	6. APPLICATIONS OF INTEGRATION.(1)	.- More about Areas - Volumes - Volumes by Cylindrical Shells.
8.	6. APPLICATIONS OF INTEGRATION.(2)	.- Arc Length - Average Value of a Function
9.	11. PARTIAL DERIVATIVES(1)	.- Functions of Several Variables. - Limits and Continuity - Partial Derivatives
10.	11. PARTIAL DERIVATIVES(2)	.- Partial Derivatives
11.	12. MULTIPLE INTEGRALS.(1)	.- Double Integrals over Rectangles

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운영자2016-08-12 15:11: KOCW운영팀입니다. 강의교재는 Calculus 4e _ concepts and contexts/international edition/, books/cole cengage learning, James Stewart 입니다.