Applied CALC (with CourseMate Printed Access Card)

Frank Wilson is an award-winning textbook author whose passion is helping students see how to apply mathematics in their personal lives. Frank shares his passion with colleagues worldwide through engaging workshops, keynote presentations, journal articles, and curricular materials. He holds B.S. and M.S. degrees in Mathematics from Brigham Young University and expects to complete his Ph.D. in Business Administration (Business Quantitative Methods) in 2013. Wilson is the recipient of numerous awards including the Calculus Division Instructor of the Year Award, Make Their Day Staff Award, and Faculty Excellence Award. He is a dynamic speaker, and regularly presents his innovative teaching techniques at national and affiliate conferences of the American Mathematical Association of Two-Year Colleges.

1. FUNCTIONS AND MODELS.
1.1 Functions 1.2 Linear Functions 1.3 Quadratic Functions 1.4 Polynomial and Rational Functions 1.5 Exponential Functions and Logarithms 1.6 Function Modeling and Combining Functions.
2. THE DERIVATIVE.
2.1 Average Rate of Change 2.2 Limits and Instantaneous Rates of Change 2.3 The Derivative as a Slope: Graphical Methods 2.4 The Derivative as a Function: Algebraic Method 2.5 Interpreting the Derivative
3. DIFFERENTIATION TECHNIQUES.
3.1 Basic Derivative Rules 3.2 The Product and Quotient Rules 3.3 The Chain Rule 3.4 Exponential and Logarithmic Rules 3.5 Implicit Differentiation
4. DERIVATIVE APPLICATIONS.
4.1 Maxima and Minima 4.2 Applications of Maxima and Minima 4.3 Concavity and the Second Derivative 4.4 Related Rates.
5. THE INTEGRAL.
5.1 Indefinite Integrals 5.2 Integration by Substitution 5.3 Using Sums to Approximate Area 5.4 The Definite Integral 5.5 The Fundamental Theorem of Calculus.
6. ADVANCED INTEGRATION TECHNIQUES AND APPLICATIONS.
6.1 Integration by Parts 6.2 Area Between Two Curves 6.3 Differential Equations and Applications 6.4 Differential Equations: Limited Growth and Logistic Growth Models.
7. MULTIVARIABLE FUNCTIONS AND PARTIAL DERIVATIVES.
7.1 Multivariable Functions 7.2 Partial Derivatives 7.3 Multivariable Maxima and Minima 7.4 Constrained Maxima and Minima and Applications.