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· 분류 : 국내도서 > 고등학교참고서 > 논술/면접/수시 > 입시자료집
· ISBN : 9788996672371
· 쪽수 : 432쪽
책 소개
목차
Chapter 1. Limits and Continuity
1. Introduction to Limits
2. Trigonometric and Infinite Limits
3. Continuity
Chapter 2. Differentiation
1. The Definition of Derivatives
2. Basic Differentiation Rules, Part 1
3. Basic Differentiation Rules, Part 2
4. Implicit Differentiation
5. Derivatives of Inverse Functions
Chapter 3. Application of Differentiation
1. Tangent and Normal Lines and Linear Approximation
2. The Mean Value Theorem and Rolles Theorem
3. Extrema and the First Derivative Test
4. Concavity and the Second Derivative Test
5. Curve Sketching
6. Motions
7. Related Rates
8. Optimization
9. More Applications of Differentiation
Chapter 4. Integration
1. Introduction to Indefinite Integration
2. Riemann Sum
3. The Fundamental Theorem of Calculus
4. Integration by Substitution
5. Integration by Parts (BC Only)
6. Integration by Partial Fraction (BC Only)
7. Improper Integrals (BC Only)
Chapter 5. Application of Integration
1. Area of a Region
2. Volume of Solids
3. Integration by Parts (BC Only)
4. Integration by Partial Fractions (BC Only)
5. Improper Integrals (BC Only)
Chapter 6. Differential Equations
1. Separable Differential Equations
2. Slope Fields and Euler’s Method
3. The Exponential and Logistic Models
Chapter 7. Infinite Series (BC Only)
1. Sequence and series
2. Test for Convergence, Part 1
3. Test for Convergence, Part 2
4. Taylor Polynomials and Approximations
5. Power Series
