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Calculus Early Transcendentals:
Integral & Multi-Variable Calculus for Social Sciences
Contents
Index
Calc
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Contents
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Front Matter
Copyright
Acknowledgements
Open Educational Resources (OER) Support: Corrections and Suggestions
Dedication
Introduction
Problem Solving Strategies
1
Integration
Antiderivatives
Displacement and Area
Riemann Sums
The Definite Integral and FTC
Indefinite Integrals
2
Techniques of Integration
Substitution Rule
Powers of Trigonometric Functions
Trigonometric Substitutions
Integration by Parts
Partial Fraction Method for Rational Functions
Numerical Integration
Improper Integrals
Additional Exercises
3
Applications of Integration
Average Value and Area Revisited
Applications to Business and Economics
Volume of Revolution: Disk Method
Volume of Revolution: Shell Method
4
Multiple Integration
Functions of Several Variables
Double Integrals: Volume and Average Value
Triple Integrals: Volume and Average Value
Probability
5
Differential Equations
Classifying Differential Equations
First Order Differential Equations
First Order Linear Differential Equations
Approximation
6
Sequences and Series
Sequences
Series
Integral Test
Alternating Series
Comparison Test
Absolute and Conditional Convergence
Ratio and Root Tests
Power Series and Polynomial Approximation
Back Matter
Index
Calculus Early Transcendentals:
Integral & Multi-Variable Calculus for Social Sciences
Dr. Petra Menz, Nicola Mulberry
Department of Mathematics
¶¡ÏãÔ°AV
June 1, 2020
Copyright
Acknowledgements
Open Educational Resources (OER) Support: Corrections and Suggestions
Dedication
Introduction
Problem Solving Strategies
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