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Single Variable Calculus

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ISBN-10: 0534465668

ISBN-13: 9780534465667

Edition: 2010

Authors: Soo T. Tan

List price: $197.95
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Book details

List price: $197.95
Copyright year: 2010
Publisher: Brooks/Cole
Publication date: 8/3/2009
Binding: Hardcover
Pages: 1008
Size: 8.50" wide x 10.00" long x 1.00" tall
Weight: 9.328
Language: English

Soo T. Tan has published numerous papers in Optimal Control Theory and Numerical Analysis. He received his S.B. degree from Massachusetts Institute of Technology, his M.S. degree from the University of Wisconsin-Madison, and his Ph.D. from the University of California at Los Angeles. "One of the most important lessons I learned from my early experience teaching these courses is that many of the students come into these courses with some degree of apprehension. This awareness led to the intuitive approach I have adopted in all of my texts."

Preliminaries
Lines
Functions and Their Graphs
The Trigonometric Functions
Combining Functions
Graphing Calculators and Computers
Mathematical Models
Chapter Review
Limits
An Intuitive Introduction to Limits
Techniques for Finding Limits
A Precise Definition of a Limit
Continuous Functions
Tangent Lines and Rates of Change
Chapter Review
Problem-Solving Techniques
Challenge Problems
The Derivative
The Derivative
Basic Rules of Differentiation
The Product and Quotient Rules
The Role of the Derivative in the Real World
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Related Rates
Differentials and Linear Approximations
Chapter Review
Problem-Solving Techniques
Challenge Problems
Applications Of The Derivative
Extrema of Functions
The Mean Value Theorem
Increasing and Decreasing Functions and the FirSt. Derivative TeSt. Concavity and Inflection Points
Limits Involving Infinity
Asymptotes
Curve Sketching
Optimization Problems
Newton's Method
Chapter Review
Problem-Solving Techniques
Challenge Problems
Integration
Indefinite Integrals
Integration by Substitution
Area
The Definite Integral
The Fundamental Theorem of Calculus
Numerical Integration
Chapter Review
Problem-Solving Techniques
Challenge Problems
Applications Of The Definite Integral
Areas Between Curves
Volumes: Disks, Washers, and Cross Sections
Volumes Using Cylindrical Shells
Arc Length and Areas of Surfaces of Revolution
Work
Fluid Pressure and Force
Moments and Centers of Mass
Chapter Review
Problem-Solving Techniques
Challenge Problems
The Transcendental Functions
The Natural Logarithmic Function
Inverse Functions
Exponential Functions
General Exponential and Logarithmic Functions
Inverse Trigonometric Functions
Hyperbolic Functions
Indeterminate Forms and L'H?pital's Rule
Chapter Review
Challenge Problems
Techniques Of Integration
Integration by Parts
Trigonometric Integrals
Trigonometric Substitutions
The Method of Partial Fractions
Integration Using Tables of Integrals and CAS
Improper Integrals
Chapter Review
Problem-Solving Techniques
Challenge Problems
Differential Equations
Differential Equations: Separable Equations
Direction Fields and Euler's Method
The Logistic Equation
First-Order Linear Differential Equations
Chapter Review
Challenge Problems
Infinite Sequences And Series
Sequences
Series
The Integral TeSt. The Comparison Tests
Alternating Series
Absolute Convergence
The Ratio and Root Tests
Power Series
Taylor and Maclaurin Series
Approximation by Taylor Polynomials
Chapter Review
Problem-Solving Techniques
Challenge Problems