Applied Calculus for the Life and Social Sciences, International Edition
(Sprache: Englisch)
Designed specifically for biology and life/social sciences majors, this applied calculus program motivates students while fostering understanding and mastery. The authors emphasize integrated and engaging applications that show students the real-world...
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Klappentext zu „Applied Calculus for the Life and Social Sciences, International Edition “
Designed specifically for biology and life/social sciences majors, this applied calculus program motivates students while fostering understanding and mastery. The authors emphasize integrated and engaging applications that show students the real-world relevance of topics and concepts. Several pedagogical features from algebra review to study tips provide extra guidance and practice. Applied Calculus for the Life and Social Sciences features current, relevant examples drawn from government sources, industry, recent events, and other disciplines that appeal to diverse interests. In addition, the program offers a strong support package including CL MATHSpace Instructor/Student websites and course management tools, instructional DVDs, and solutions manuals that allows students to review the material independently and retain key concepts.
Inhaltsverzeichnis zu „Applied Calculus for the Life and Social Sciences, International Edition “
0. A PRECALCULUS REVIEW.The Real Number Line and Order. Absolute Value and Distance on the Real Number Line. Exponents and Radicals. Factoring Polynomials. Fractions and Rationalization.
1. FUNCTIONS, GRAPHS, AND LIMITS.
The Cartesian Plane and the Distance Formula. Graphs of Equations. Lines in the Plane and Slope. Functions. Limits. Continuity.
2. DIFFERENTIATION.
The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change. The Product and Quotient Rules. The Chain Rule. Higher-Order Derivatives.
3. APPLICATIONS OF THE DERIVATIVE.
Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative. Optimization Problems. Asymptotes. Curve Sketching: A Summary. Differentials: Linear Approximation.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growthand Decay.
5. TRIGONOMETRIC FUNCTIONS.
Radian Measure of Angles. The Trigonometric Functions. Graphs of Trigonometric Functions. Derivatives of Trigonometric Functions.
6. INTEGRATION AND ITS APPLICATIONS.
Antiderivatives and Indefinite Integrals. Integration by Substitution and The General Power Rule. Exponential and Logarithmic Integrals. Area and the Fundamental Theorem of Calculus. The Area of a Region Bounded by Two Graphs. Volumes of Solids of Revolution.
7. TECHNIQUES OF INTEGRATION.
Integration by Parts. Partial Fractions and Logistic Growth. Integrals of Trigonometric Functions. The Definite Integral as the Limit of a Sum. Numerical Integration. Improper Integrals
8. MATRICES.
Systems of Linear Equations in Two Variables. Systems of Linear Equations in More Than Two Variables. Matrices and Systems of Linear Equations. Operations with Matrices. The Inverse of a Matrix.
9. FUNCTIONS OF SEVERAL VARIABLES.
The Three-Dimensional Coordinate System. Surfaces in Space.
... mehr
Functionsof Several Variables. Partial Derivatives. Extrema of Functions of Two Variables. Least Squares Regression Analysis. Double Integrals and Area in the Plane. Applications of Double Integrals.
10. DIFFERENTIAL EQUATIONS.
Solutions of Differential Equations. Separation of Variables. First-Order Linear Differential Equations. Applications of Differential Equations.
11. PROBABILITY AND CALCULUS.
Discrete Probability. Continuous Random Variables. Expected Value and Variance.
Appendix A. Differentiation and Integration Formulas.
Appendix B. Additional Topics in Differentiation.
Implicit Differentiation. Related Rates.
Appendix C. Probability and Probability Distributions (web only).
Probability. Probability Computations. Conditional Probability. Tree Diagrams and Bayes Theorem. Probability Distributions. Normal Distribution. Binomial Distribution.
Appendix D. Properties and Measurement (web only).
Review of Algebra. Units of Measurements.
Appendix E. Graphing Utility Programs (web only).
Graphing Utility Programs.
10. DIFFERENTIAL EQUATIONS.
Solutions of Differential Equations. Separation of Variables. First-Order Linear Differential Equations. Applications of Differential Equations.
11. PROBABILITY AND CALCULUS.
Discrete Probability. Continuous Random Variables. Expected Value and Variance.
Appendix A. Differentiation and Integration Formulas.
Appendix B. Additional Topics in Differentiation.
Implicit Differentiation. Related Rates.
Appendix C. Probability and Probability Distributions (web only).
Probability. Probability Computations. Conditional Probability. Tree Diagrams and Bayes Theorem. Probability Distributions. Normal Distribution. Binomial Distribution.
Appendix D. Properties and Measurement (web only).
Review of Algebra. Units of Measurements.
Appendix E. Graphing Utility Programs (web only).
Graphing Utility Programs.
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Bibliographische Angaben
- Autor: Ron Larson
- 2009, 864 Seiten, Maße: 25 x 19,2 cm, Kartoniert (TB), Englisch
- Verlag: Brooks Cole
- ISBN-10: 0538737980
- ISBN-13: 9780538737982
Sprache:
Englisch
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