| Description |
1 online resource (247 p.) |
| Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Acknowledgments -- Introduction -- Chapter 1 Functions in Applied Sciences -- 1.1 The Concept of Function -- 1.2 Linear Functions -- 1.3 Polynomial Functions -- 1.4 Rational Functions and Algebraic Functions -- 1.5 The Exponential and Logarithmic Functions -- 1.6 Malthusian Law -- 1.7 Elementary Trigonometric Functions -- 1.8 Exercises with Solutions -- 1.9 Suggested Exercises -- Chapter 2 Limits and Derivatives -- 2.1 Limits -- 2.2 Properties of Limits and Standard Limits -- 2.3 Indeterminate Forms |
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2.4 Continuity -- 2.5 Derivative of a Function -- 2.6 Derivability and Continuity -- 2.7 De L'Hopital's Rule -- 2.8 Derivative of the Inverse Function -- 2.9 Exercises with Solutions -- 2.10 Suggested Exercises -- 2.11 Appendix: Derivation Rules -- 2.12 Appendix: Derivatives -- 2.13 Appendix: Theorems on Limits -- Chapter 3 Applications of the Derivative -- 3.1 The Linear Approximation -- 3.2 The Derivative as Rate of Change -- 3.3 Local Maxima and Minima -- 3.4 Graph Sketching -- 3.5 Optimization -- 3.6 Exercises with Solutions -- 3.7 Suggested Exercises |
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3.8 Appendix: Theorems of Differential Calculus -- Chapter 4 Integrals -- 4.1 The Definite Integral -- 4.2 Properties of the Definite Integral -- 4.3 The Fundamental Theorem of Calculus -- 4.4 Integration by Substitution -- 4.5 Integration by Parts -- 4.6 Integration of Rational Functions -- 4.7 Integration of Trigonometric Functions -- 4.8 Applications -- 4.9 Exercises with Solutions -- 4.10 Suggested Exercises -- 4.11 Appendix: Indefinite Integrals -- 4.12 Appendix: Theorems on Integral Calculus -- Chapter 5 First-Order Differential Equations -- 5.1 First-Order Equations |
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5.2 The Cauchy Problem -- 5.3 Direction Field -- 5.4 Separable Equations -- 5.5 Newton's Law of Cooling -- 5.6 Linear Equations -- 5.7 Mixing Problems -- 5.8 Malthusian Laws and Population Dynamics -- 5.9 Homogeneous Equations -- 5.10 Autonomous Differential Equations -- 5.11 The Logistics Model -- 5.12 Solution of the Logistic Equation -- 5.13 Exercises with Solutions -- 5.14 Suggested Exercises -- Chapter 6 Second-Order Differential Equations -- 6.1 Cauchy's Theorem -- 6.2 The Wronskian -- 6.3 Homogeneous Linear Equations -- 6.4 Linear Equations |
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6.5 Linear Equations with Constant Coefficients -- 6.6 Equations with Constant Coefficients: The General Case -- 6.7 Simple Harmonic Motion -- 6.8 Harmonic Motion with External Force -- 6.9 Damped Harmonic Motion -- 6.10 Exercises with Solutions -- 6.11 Suggested Exercises -- 6.12 Appendix: Linear Systems -- Chapter 7 Elementary Statistics -- 7.1 Populations and Variables -- 7.2 Absolute Frequencies and Percentages -- 7.3 Graphical Representation of Data -- 7.4 Mode, Average and Median -- 7.5 Variance and Standard Deviation -- 7.6 Quartiles and Interquartile Range -- 7.7 Normal Distribution |
| Notes |
Description based upon print version of record |
|
7.8 Exercises with Solutions |
| Form |
Electronic book
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| Author |
Fioresi, Rita
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| ISBN |
9781003824572 |
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1003824579 |
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