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R. Algebra Reference.
Polynomials.
Factoring.
Rational Expressions.
Equations.
Inequalities.
Exponents.
Radicals.
1. Functions.
Lines and Linear Functions.
The Least Squares Line.
Properties of Functions.
Quadratic Functions; Translation and Reflection.
Polynomial and Rational Functions.
2. Exponential, Logarithmic, and Trigonometric Functions.
Exponential Functions.
Logarithmic Functions.
Applications: Growth and Decay.
Trigonometric Functions.
3. The Derivative.
Limits.
Continuity.
Rates of Change.
Definition of the Derivative.
Graphical Differentiation.
4. Calculating the Derivative.
Techniques for Finding Derivatives.
Derivatives of Products and Quotients.
The Chain Rule.
Derivatives of Exponential Functions.
Derivatives of Logarithmic Functions.
Derivatives of Trigonometric Functions.
5. Graphs and the Derivative.
Increasing and Decreasing Functions.
Relative Extrema.
Higher Derivatives, Concavity, and the Second Derivative Test.
Curve Sketching.
6. Applications of the Derivative.
Absolute Extrema.
Applications of Extrema.
Implicit Differentiation.
Related Rates.
Differentials: Linear Approximation.
7. Integration.
Antiderivatives.
Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
Integrals of Trigonometric Functions.
The Area Between Two Curves.
8. Further Techniques and Applications of Integration.
Numerical Integration.
Integration by Parts.
Volume and Average Value.
Improper Integrals.
9. Multivariable Calculus.
Functions of Several Variables.
Partial Derivatives.
Maxima and Minima.
Total Differentials and Approximations.
Double Integrals.
10. Linear Algebra.
Solution of Linear Systems.
Addition and Subtraction of Matrices.
Multiplication of Matrices.
Matrix Inverses.
Eigenvalues and Eigenvectors.
11. Differential Equations.
Solutions of Elementary and Separable Differential Equations.
Linear First-Order Differential Equations.
Euler's Method.
Linear Systems of Differential Equations.
Nonlinear Systems of Differential Equations.
Applications of Differential Equations.
12. Probability.
Sets.
Introduction to Probability.
Conditional Probability; Independent Events; Bayes' Theorem.
Discrete Random Variables; Applications to Decision Making.
13. Probability and Calculus.
Continuous Probability Models.
Expected Value and Variance of Continuous Random Variables.
Special Probability Density Functions.
| Price | Condition | Delivery | Seller | Action |
| $140.00 | Digital |
| WonderClub |
Margaret Gochal
reviewed Calculus with Applications for the Life Sciences on December 13, 2016 Calculus with Applications for the Life Sciences
This text is very poorly written. It is unnecessarily obfuscating and jargon cluttered. If there are three terms with which to describe the exact same thing, Raven is sure to give you four. There are much better General Biology texts out there which I had to refer to because Raven makes such a muddle of things. Better and more highly recommended texts are Sadava "Life" (Very Good) and Freeman "Biological Science" (Fantastic). Campbell is good too.
Aside from the plethora of unnecessary jargon, the book's other primary failing is a lack of unification in what is presented. Nothing is tied to anything else. This book is essentially a loose assemblage of facts about biology without any seeming connection.
I will mention that the final chapters on ecology are, however somewhat better written than the rest of the book. In these chapters (and only in these chapters) the facts are presented not as they are elsewhere, as just a string of true statements (or purportedly true statements - another failing of Raven is that he uses many speculative studies which are still being debated and after mentioning they are still disputed, proceeds to treat them as though they were established facts) connected by conjunctions and unnecessarily technical mumbo jumbo, but as a unity of interrelated, interlocking parts to a puzzle.
I cannot imagine (and I can imagine quite a good deal) any possible way this text could have been written more poorly.
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