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Book Description

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 subject and ace their exams.

It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.

  • Introduction to integration
  • Indefinite integrals
  • Intermediate Integration topics
  • Infinite series
  • Advanced topics
  • Practice exercises

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!

Table of Contents

  1. Cover
  2. Table of Contents
  3. Title Page
  4. Introduction
  5. Part I: Introduction to Integration
    1. Chapter 1: An Aerial View of the Area Problem
    2. Chapter 2: Dispelling Ghosts from the Past: A Review of Pre-Calculus and Calculus I
    3. Chapter 3: From Definite to Indefinite: The Indefinite Integral
  6. Part II: Indefinite Integrals
    1. Chapter 4: Instant Integration: Just Add Water (And C)
    2. Chapter 5: Making a Fast Switch: Variable Substitution
    3. Chapter 6: Integration by Parts
    4. Chapter 7: Trig Substitution: Knowing All the (Tri)Angles
    5. Chapter 8: When All Else Fails: Integration with Partial Fractions
  7. Part III: Intermediate Integration Topics
    1. Chapter 9: Forging into New Areas: Solving Area Problems
    2. Chapter 10: Pump Up the Volume: Using Calculus to Solve 3-D Problems
  8. Part IV: Infinite Series
    1. Chapter 11: Following a Sequence, Winning the Series
    2. Chapter 12: Where Is This Going? Testing for Convergence and Divergence
    3. Chapter 13: Dressing Up Functions with the Taylor Series
  9. Part V: Advanced Topics
    1. Chapter 14: Multivariable Calculus
    2. Chapter 15: What's So Different about Differential Equations?
  10. Part VI: The Part of Tens
    1. Chapter 16: Ten “Aha!” Insights in Calculus II
    2. Chapter 17: Ten Tips to Take to the Test
  11. Cheat Sheet
3.145.18.101