Description 
1 online resource 
Contents 
PrefaceChapter 1: Integration  1.1 Approximating Areas  1.2 The Definite Integral  1.3 The Fundamental Theorem of Calculus  1.4 Integration Formulas and the Net Change Theorem  1.5 Substitution  1.6 Integrals Involving Exponential and Logarithmic Functions  1.7 Integrals Resulting in Inverse Trigonometric Functions  Chapter 2: Applications of Integration  2.1 Areas between Curves  2.2 Determining Volumes by Slicing  2.3 Volumes of Revolution: Cylindrical Shells  2.4 Arc Length of a Curve and Surface Area  2.5 Physical Applications  2.6 Moments and Centers of Mass  2.7 Integrals, Exponential Functions, and Logarithms  2.8 Exponential Growth and Decay  2.9 Calculus of the Hyperbolic Functions  Chapter 3: Techniques of Integration  3.1 Integration by Parts  3.2 Trigonometric Integrals  3.3 Trigonometric Substitution  3.4 Partial Fractions  3.5 Other Strategies for Integration  3.6 Numerical Integration  3.7 Improper Integrals  Chapter 4: Introduction to Differential Equations  4.1 Basics of Differential Equations  4.2 Direction Fields and Numerical Methods  4.3 Separable Equations  4.4 The Logistic Equation  4.5 Firstorder Linear Equations  Chapter 5: Sequences and Series  5.1 Sequences  5.2 Infinite Series  5.3 The Divergence and Integral Tests  5.4 Comparison Tests  5.5 Alternating Series  5.6 Ratio and Root Tests  Chapter 6: Power Series  6.1 Power Series and Functions  6.2 Properties of Power Series  6.3 Taylor and Maclaurin Series  6.4 Working with Taylor Series  Chapter 7: Parametric Equations and Polar Coordinates  7.1 Parametric Equations  7.2 Calculus of Parametric Curves  7.3 Polar Coordinates  7.4 Area and Arc Length in Polar Coordinates  7.5 Conic Sections  Appendix A: Table of IntegralsAppendix B: Table of DerivativesAppendix C: Review of PreCalculusIndex 
Summary 
Calculus is designed for the typical two or threesemester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates 
Audience 
College Audience OpenStax College 
Subject 
Mathematics  Textbooks


Mathematics.

Genre/Form 
Textbooks.

Form 
Electronic book

Author 
BCcampus.


OpenStax College.


University of Minnesota.

