APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES 8/E
商品資訊
ISBN13：9780538734875
出版社：Cengage Learning
作者：TAN
出版日：2011/01/01
裝訂：平裝
版次：8
定價
：NT$ 1220 元無庫存，下單後進貨(採購期約4~10個工作天)
下單可得紅利積點 ：36 點
商品簡介
商品簡介
1. PRELIMINARIES.
1.1 Precalculus Review I.
1.2 Precalculus Review II.
1.3 The Cartesian Coordinate System.
1.4 Straight Lines.
2. FUNCTIONS, LIMITS, AND THE DERIVATIVE.
2.1 Functions and Their Graphs.
2.2 The Algebra of Functions.
2.3 Functions and Mathematical Models.
2.4 Limits.
2.5 One-Sided Limits and Continuity.
2.6 The Derivative.
3. DIFFERENTIATION.
3.1 Basic Rules of Differentiation.
3.2 The Product and Quotient Rules.
3.3 The Chain Rule.
3.4 Marginal Functions in Economics.
3.5 Higher-Order Derivatives.
3.6 Implicit Differentiation and Related Rates.
3.7 Differentials.
4. APPLICATIONS OF THE DERIVATIVE.
4.1 Applications of the First Derivative.
4.2 Applications of the Second Derivative.
4.3 Curve Sketching.
4.4 Optimization I.
4.5 Optimization II.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
5.1 Exponential Functions.
5.2 Logarithmic Functions.
5.3 Compound Interest.
5.4 Differentiation of Exponential Functions.
5.5 Differentiation of Logarithmic Functions.
5.6 Exponential Functions as Mathematical Models.
6. INTEGRATION.
6.1 Antiderivatives and the Rules of Integration.
6.2 Integration by Substitution.
6.3 Area and the Definite Integral.
6.4 The Fundamental Theorem of Calculus.
6.5 Evaluating Definite Integrals.
6.6 Area between Two Curves.
6.7 Applications of the Definite Integral to Business and Economics.
7. ADDITIONAL TOPICS IN INTEGRATION.
7.1 Integration by Parts.
7.2 Integration Using Tables of Integrals.
7.3 Numerical Integration.
7.4 Improper Integrals.
7.5 Volumes of Solids of Revolution.
8. CALCULUS OF SEVERAL VARIABLES.
8.1 Functions of Several Variables.
8.2 Partial Derivatives.
8.3 Maxima and Minima of Functions of Several Variables.
8.4 The Method of Least Squares.
8.5 Constrained Maxima and Minima and the Method of Lagrange Multipliers.
8.6 Total Differentials.
8.7 Double Integrals.
8.8 Applications of Double Integrals.
9. DIFFERENTIAL EQUATIONS.
9.1 Differential Equations.
9.2 Separation of Variables.
9.3 Applications of Separable Differential Equations.
9.4 Approximate Solutions of Differential Equations.
10. PROBABILITY AND CALCULUS.
10.1 Probability Distributions of Random Variables.
10.2 Expected Value and Standard Deviation.
10.3 Normal Distributions.
11. TAYLOR POLYNOMIALS AND INFINITE SERIES.
11.1 Taylor Polynomials.
11.2 Infinite Sequences.
11.3 Infinite Series.
11.4 Series with Positive Numbers.
11.5 Power Series and Taylor Series.
11.6 More on Taylor Series.
11.7 Newton's Method.
12. TRIGONOMETRIC FUNCTIONS.
12.1 Measurement of Angles.
12.2 The Trigonometric Functions.
12.3 Differentiation of Trigonometric Functions.
12.4 Integration of Trigonometric Functions
APPENDIX
1.1 Precalculus Review I.
1.2 Precalculus Review II.
1.3 The Cartesian Coordinate System.
1.4 Straight Lines.
2. FUNCTIONS, LIMITS, AND THE DERIVATIVE.
2.1 Functions and Their Graphs.
2.2 The Algebra of Functions.
2.3 Functions and Mathematical Models.
2.4 Limits.
2.5 One-Sided Limits and Continuity.
2.6 The Derivative.
3. DIFFERENTIATION.
3.1 Basic Rules of Differentiation.
3.2 The Product and Quotient Rules.
3.3 The Chain Rule.
3.4 Marginal Functions in Economics.
3.5 Higher-Order Derivatives.
3.6 Implicit Differentiation and Related Rates.
3.7 Differentials.
4. APPLICATIONS OF THE DERIVATIVE.
4.1 Applications of the First Derivative.
4.2 Applications of the Second Derivative.
4.3 Curve Sketching.
4.4 Optimization I.
4.5 Optimization II.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
5.1 Exponential Functions.
5.2 Logarithmic Functions.
5.3 Compound Interest.
5.4 Differentiation of Exponential Functions.
5.5 Differentiation of Logarithmic Functions.
5.6 Exponential Functions as Mathematical Models.
6. INTEGRATION.
6.1 Antiderivatives and the Rules of Integration.
6.2 Integration by Substitution.
6.3 Area and the Definite Integral.
6.4 The Fundamental Theorem of Calculus.
6.5 Evaluating Definite Integrals.
6.6 Area between Two Curves.
6.7 Applications of the Definite Integral to Business and Economics.
7. ADDITIONAL TOPICS IN INTEGRATION.
7.1 Integration by Parts.
7.2 Integration Using Tables of Integrals.
7.3 Numerical Integration.
7.4 Improper Integrals.
7.5 Volumes of Solids of Revolution.
8. CALCULUS OF SEVERAL VARIABLES.
8.1 Functions of Several Variables.
8.2 Partial Derivatives.
8.3 Maxima and Minima of Functions of Several Variables.
8.4 The Method of Least Squares.
8.5 Constrained Maxima and Minima and the Method of Lagrange Multipliers.
8.6 Total Differentials.
8.7 Double Integrals.
8.8 Applications of Double Integrals.
9. DIFFERENTIAL EQUATIONS.
9.1 Differential Equations.
9.2 Separation of Variables.
9.3 Applications of Separable Differential Equations.
9.4 Approximate Solutions of Differential Equations.
10. PROBABILITY AND CALCULUS.
10.1 Probability Distributions of Random Variables.
10.2 Expected Value and Standard Deviation.
10.3 Normal Distributions.
11. TAYLOR POLYNOMIALS AND INFINITE SERIES.
11.1 Taylor Polynomials.
11.2 Infinite Sequences.
11.3 Infinite Series.
11.4 Series with Positive Numbers.
11.5 Power Series and Taylor Series.
11.6 More on Taylor Series.
11.7 Newton's Method.
12. TRIGONOMETRIC FUNCTIONS.
12.1 Measurement of Angles.
12.2 The Trigonometric Functions.
12.3 Differentiation of Trigonometric Functions.
12.4 Integration of Trigonometric Functions
APPENDIX
購物須知
為了保護您的權益，「三民網路書店」提供會員七日商品鑑賞期(收到商品為起始日)。
若要辦理退貨，請在商品鑑賞期內寄回，且商品必須是全新狀態與完整包裝(商品、附件、發票、隨貨贈品等)否則恕不接受退貨。