Calculus II for dummies
An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subje...
| Formato: | Libro electrónico |
|---|---|
| Idioma: | Inglés |
| Publicado: |
Hoboken, New Jersey :
John Wiley & Sons, Inc
2012.
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| Edición: | Second edition |
| Colección: | --For dummies.
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628260706719 |
Tabla de Contenidos:
- Calculus II For Dummies, 2nd Edition; About the Author; Dedication; Author's Acknowledgments; Table of Contents; Introduction; About This Book; Conventions Used in This Book; What You're Not to Read; Foolish Assumptions; How This Book Is Organized; Icons Used in This Book; Where to Go from Here; Part I: Introduction to Integration; Chapter 1: An Aerial View of the Area Problem; Checking Out the Area; Slicing Things Up; Defining the Indefinite; Solving Problems with Integration; Understanding Infinite Series; Advancing Forward into Advanced Math
- Chapter 2: Dispelling Ghosts from the Past: A Review of Pre-Calculus and Calculus IForgotten but Not Gone: A Review of Pre-Calculus; Recent Memories: A Review of Calculus I; Finding Limits Using L'Hopital's Rule; Chapter 3: From Definite to Indefinite: The Indefinite Integral; Approximate Integration; Knowing Sum-Thing about Summation Formulas; As Bad as It Gets: Calculating Definite Integrals Using the Riemann Sum Formula; Light at the End of the Tunnel: The Fundamental Theorem of Calculus; Understanding the Fundamental Theorem of Calculus; Your New Best Friend: The Indefinite Integral
- Part II: Indefinite IntegralsChapter 4: Instant Integration: Just Add Water (And C); Evaluating Basic Integrals; Evaluating More Difficult Integrals; Understanding Integrability; Chapter 5: Making a Fast Switch: Variable Substitution; Knowing How to Use Variable Substitution; Recognizing When to Use Substitution; Using Substitution to Evaluate Definite Integrals; Chapter 6: Integration by Parts; Introducing Integration by Parts; Integrating by Parts with the DI-agonal Method; Chapter 7: Trig Substitution: Knowing All the (Tri) Angles; Integrating the Six Trig Functions
- Integrating Powers of Sines and CosinesIntegrating Powers of Tangents and Secants; Integrating Powers of Cotangents and Cosecants; Integrating Weird Combinations of Trig Functions; Using Trig Substitution; Chapter 8: When All Else Fails: Integration with Partial Fractions; Strange but True: Understanding Partial Fractions; Solving Integrals by Using Partial Fractions; Integrating Improper Rationals; Part III: Intermediate Integration Topics; Chapter 9: Forging into New Areas: Solving Area Problems; Breaking Us in Two; Improper Integrals; Solving Area Problems with More Than One Function
- The Mean Value Theorem for IntegralsCalculating Arc Length; Chapter 10: Pump Up the Volume: Using Calculus to Solve 3-D Problems; Slicing Your Way to Success; Turning a Problem on Its Side; Two Revolutionary Problems; Finding the Space Between; Playing the Shell Game; Knowing When and How to Solve 3-D Problems; Part IV: Infinite Series; Chapter 11: Following a Sequence, Winning the Series; Introducing Infinite Sequences; Introducing Infinite Series; Getting Comfy with Sigma Notation; Connecting a Series with Its Two Related Sequences; Recognizing Geometric Series and P-Series
- Chapter 12: Where Is This Going? Testing for Convergence and Divergence
