Calculus for Biology and Medicine
ISBN: 9780130455161 | 0130455164
Edition: 3rdFormat: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2011
Why Rent from Knetbooks?
Because Knetbooks knows college students. Our rental program is designed to save you time and money. Whether you need a textbook for a semester, quarter or even a summer session, we have an option for you. Simply select a rental period, enter your information and your book will be on its way!
Top 5 reasons to order all your textbooks from Knetbooks:
- We have the lowest prices on thousands of popular textbooks
- Free shipping both ways on ALL orders
- Most orders ship within 48 hours
- Need your book longer than expected? Extending your rental is simple
- Our customer support team is always here to help
This volume teaches calculus in the "biology" context "without" compromising the level of regular calculus. The material is organized in the standard way and explains how the different concepts are logically related. Each new concept is typically introduced with a biological example; the concept is then developed "without" the biological context and then the concept is tied into additional biological examples. This allows readers to first see "why" a certain concept is important, then lets them focus on how to use the concepts "without" getting... MORE
1. Preview and Review.
2. Discrete Time Models, Sequences, and Difference Equations.
3. Limits and Continuity.
4. Differentiation.
5. Applications of Differentiation.
6. Integration.
7. Integration Techniques and Computational Methods.
8. Differential Equations.
9. Linear Algebra and Analytic Geometry.
10. Multivariable Calculus.
11. Systems of Differential Equations.
12. Probability and Statistics.
Preliminaries. Elementary Functions. Graphing. Key Terms. Review Problems.
2. Discrete Time Models, Sequences, and Difference Equations.
Exponential Growth and Decay. Sequences. More Population Models. Key Terms. Review Problems.
3. Limits and Continuity.
Limits. Continuity. Limits at Infinity. The Sandwich Theorem and Some Trigonometric Limit... MORE
4. Differentiation.
Formal Definition of the Derivative. The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials. Product and Quotient Rule. The Chain Rule and Higher Derivatives. Derivatives of Trigonometric Functions. Derivatives of Exponential Functions. Derivatives of Inverse and Logarithmic Functions. Approximation and Local Linearity. Key Terms. Review Problems.
5. Applications of Differentiation.
Extrema and the Mean Value Theorem. Monotonicity and Concavity. Extrema, Inflection Points and Graphing. Optimization. L'Hospital's Rule. Numerical Methods—The Newton-Raphson Methods. Antiderivatives. Key Terms. Review Problems.
6. Integration.
The Definite Integral. The Fundamental Theorem of Calculus. Applications of Integration. Key Terms. Review Problems.
7. Integration Techniques and Computational Methods.
The Substitution Rule. Integration by Parts. Practicing Integration and Partial Fractions. Improper Integrals. Numerical Integration. Tables of Integration. The Taylor Approximation. Key Terms. Review Problems.
8. Differential Equations.
Solving Differential Equations. Equilibria and Their Stability. Systems of Autonomous Equations. Key Terms. Review Problems.
9. Linear Algebra and Analytic Geometry.
Linear Systems. Matrices. Linear Maps, Eigenvectors and Eignvalues. Analytic Geometry. Key Terms. Review Problems.
10. Multivariable Calculus.
Functions of Two or More Independent Variables. Limits and Continuity. Partial Derivatives. Tangent Planes, Differentiability, and Linearization. More About Derivatives. Applications. Systems of Difference Equations. Key Terms. Review Problems.
11. Systems of Differential Equations.
Linear Systems—Theory. Linear Systems—Applications. Nonlinear Autonomous Systems—Theory. Nonlinear Systems—Applications. Key Terms. Review Problems.
12. Probability and Statistics.
Counting. What Is Probability? Conditional Probability and Independence. Discrete Random Variables and Discrete Distributions. Continuous Distributions. Limit Theorems. Statistical Tools. Key Terms. Review Problems.
