Solutions Manual to accompany Fundamentals of Calculus

A solutions manual to accompany Fundamentals of Calculus

Fundamentals of Calculus illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes:

• Linear Equations and Functions
• Integral Calculus
• The Derivative
• Integrations Techniques
• Using the Derivative
• Functions of Several Variables
• Exponents and Logarithms
• Series and Summations
• Differentiation Techniques
• Applications to Probability

1 LINEAR EQUATIONS AND FUNCTIONS 1

2 THE DERIVATIVE 16

3 USING THE DERIVATIVE 26

4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 39

5 TECHNIQUES OF DIFFERENTIATION 46

6 INTEGRAL CALCULUS 56

7 INTEGRATION TECHNIQUES 66

8 FUNCTIONS OF SEVERAL VARIABLES 79

9 SERIES AND SUMMATIONS 94

10 APPLICATIONS TO PROBABILITY 110

"Fundamentals of calculus illustrates the elements of fi nite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus." (Zentralblatt MATH, 2016)

Carla C. Morris, PhD, is Assistant Professor of Mathematics in the Associate in Arts Program at the University of Delaware. A member of The Institute for Operations Research and the Management Sciences and the Mathematical Association of America, Dr. Morris teaches courses ranging from college algebra to calculus and statistics.

Robert M. Stark, PhD, is Professor Emeritus in the Departments of Mathematical Sciences and Civil and Environmental Engineering at the University of Delaware. Dr. Stark's teaching and research interests include applied probability, mathematical optimization, operations research, and mathematics education.