Calculus with Applications: Brief Version / Margret Lial L, Raymond N. Greenwell, Nathan P. Ritchey

Contents
Chapter 1 Linear Functions
Slopes and Equations of lines
Linear functions and applications
The least square line

Chapter 2 Nonlinear Functions
Properties of Functions
Quadratic Functions: Translation and reflection
Polynomial and rational Functions
Exponential functions
Logarithmic Functions
etc

Chapter 3 The derivative
Limits
Continuity Rates of change
Definition of Derivatives
Graphical differentiation

Chapter 4 Calculating the Derivative
Techniques for finding derivatives
Derivatives of products and quotients
The chain rule
Derivatives of exponential functions
Derivatives of Logarithmic Functions

Chapter 5 Graphs and derivatives
Increasing and decreasing Functions
Relative extrema
High derivatives, Concavity and the second derivative test
Curve sketching

Chapter 6 Applications of the derivative
Absolute Extrema
Applications of Extrema
Further Business applications: Economic lot; Economic order quantity; Elasticity of demand
Implicit of differentiation
Related rates

Chapter 7 Integers
Antiderivatives
Substitution
Area and the definite integral
The fundamental theorem of Calculus
The area between two curves
etc

Chapter 8 Further techniques and applications of integration
Integration by parts
Volume and average values
Continuous money flow
Improper integrals

Chapter 9 Multivariable calculus
Function of several variables
Partial derivatives
Maxima and minima
Lagrange multipliers
Total differentials and approximations
Double integrals.