# Interactive Applied Calculus,1st edition

• Nathan P. Ritchey Edinboro University of PA , Youngstown State University
• Darin Kapanjie Temple University
• Katharine Fisher University of Toledo
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### Access details

• Pearson+ eTextbook not included
• Instant access once purchased
• Register with a Course ID, a link from your instructor or an LMS link (Blackboard™, Canvas™, Moodle or D2L®)

### Features

• Interactive digital learning experience
• Help when and where you need it
• Instant feedback on assignments
• Apps and study tools

Learn calculus by seeing and doing calculus. Written in MyLab® Math, Interactive Applied Calculus weaves video, text and MyLab Math assessment questions into a seamless learning experience that helps you master calculus and succeed in the course. Rather than introducing concepts all at once on a static, printed page, this unique online product uses Interactive Assignments that take a “watch a little, do a little” approach. Concepts are explained and then you practice them immediately, which leads to deeper understanding. The authors cover all key concepts in a way that you will find accessible and engaging. The flexibility of the MyLab platform, combined with the authors' decades of teaching experience, make this a perfect solution for applied calculus whether your course is traditional lecture, online, hybrid or flipped format.

### 1. Linear Functions

• 1-1 Slopes and Equations of Lines
• 1-2 Linear Functions and Applications
• 1-3 The Least Squares Line

### 2. Nonlinear Functions

• 2-1 Properties of Functions
• 2-2 Quadratic Functions; Translation and Reflection
• 2-3 Polynomial and Rational Functions
• 2-4 Exponential Functions
• 2-5 Logarithmic Functions
• 2-6 Applications: Growth and Decay; Mathematics of Finance

### 3. The Derivative

• 3-1 Limits
• 3-2 Continuity
• 3-3 Rates of Change
• 3-4 Definition of the Derivative
• 3-5 Graphical Differentiation

### 4. Calculating the Derivative

• 4-1 Techniques for Finding Derivatives
• 4-2 Derivatives of Products and Quotients
• 4-3 The Chain Rule
• 4-4 Derivatives of Exponential Functions
• 4-5 Derivatives of Logarithmic Functions

### 5. Graphs and the Derivative

• 5-1 Increasing and Decreasing Functions
• 5-2 Relative Extrema
• 5-3 Higher Derivatives, Concavity, and the Second Derivative Test
• 5-4 Curve Sketching

### 6. Applications of the Derivative

• 6-1 Absolute Extrema
• 6-2 Applications of Extrema
• 6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
• 6-4 Implicit Differentiation
• 6-5 Related Rates
• 6-6 Differentials: Linear Approximation

### 7. Integration

• 7-1 Antiderivatives
• 7-2 Substitution
• 7-3 Area and the Definite Integral
• 7-4 The Fundamental Theorem of Calculus
• 7-5 The Area Between Two Curves
• 7-6 Numerical Integration

### 8. Further Techniques and Applications of Integration

• 8-1 Integration by Parts
• 8-2 Volume and Average Value
• 8-3 Continuous Money Flow
• 8-4 Improper Integrals

### 9. Multivariable Calculus

• 9-1 Functions of Several Variables
• 9-2 Partial Derivatives
• 9-3 Maxima and Minima
• 9-4 Lagrange Multipliers
• 9-5 Total Differentials and Approximations
• 9-6 Double Integrals

### R. Algebra Reference

• R-1 Polynomials
• R-2 Factoring
• R-3 Rational Expressions
• R-4 Equations
• R-5 Inequalities
• R-6 Exponents