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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
Authored in PreTeXt
Calculus Early Transcendentals:
Integral & Multi-Variable Calculus for Social Sciences
Dr. Petra Menz, Nicola Mulberry
Department of Mathematics
Simon Fraser University
June 1, 2020
Copyright
Acknowledgements
Open Educational Resources (OER) Support: Corrections and Suggestions
Dedication
Introduction
Problem Solving Strategies
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