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Calculus for Scientists and Engineers, Single Variable

Best in textbook rentals since 2012!

ISBN-10: 032182671X

ISBN-13: 9780321826718

Edition: 2013

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz, Bill L. Briggs

List price: $104.99
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Book details

List price: $104.99
Copyright year: 2013
Publisher: Pearson Education, Limited
Publication date: 7/2/2012
Binding: Paperback
Pages: 912
Size: 8.75" wide x 11.00" long x 1.00" tall
Weight: 3.784

Functions
Review of functions
Representing functions
Trigonometric functions and their inverses
Review
Limits
The idea of limits
Definitions of limits
Techniques for computing limits
Infinite limits
Limits at infinity
Continuity
Precise definitions of limits
Review
Derivatives
Introducing the derivative
Rules of differentiation
The product and quotient rules
Derivatives of trigonometric functions
Derivatives as rates of change
The Chain Rule
Implicit differentiation
Derivatives of inverse trigonometric functions
Related rates
Review
Applications of the Derivative
Maxima and minima
What derivatives tell us
Graphing functions
Optimization problems
Linear approximation and differentials
Mean Value Theorem
L'H�pital's Rule
Newton's method
Antiderivatives
Review
Integration
Approximating areas under curves
Definite integrals
Fundamental Theorem of Calculus
Working with integrals
Substitution rule
Review
Applications of Integration
Velocity and net change
Regions between curves
Volume by slicing
Volume by shells
Length of curves
Surface area
Physical applications
Hyperbolic functions
Review
Logarithmic and Exponential Functions
Inverse functions
The natural logarithm and exponential functions
Logarithmic and exponential functions with general bases
Exponential models
Inverse trigonometric functions
L'H�pital's rule and growth rates of functions
Review
Integration Techniques
Basic approaches
Integration by parts
Trigonometric integrals
Trigonometric substitutions
Partial fractions
Other integration strategies
Numerical integration
Improper integrals
Review
Differential Equations
Basic ideas
Direction fields and Euler's method
Separable differential equations
Special first-order differential equations
Modeling with differential equations
Review
Sequences and Infinite Series
An overview
Sequences
Infinite series
The Divergence and Integral Tests
The Ratio, Root, and Comparison Tests
Alternating series
Review
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