What is included with this book?
Integrals | |
Areas and Distances | |
The Definite Integral | |
Discovery Project: Area Functions | |
The Fundamental Theorem of Calculus | |
Indefinite Integrals and the Total Change Theorem | |
Writing Project: Newton, Leibniz, and the Invention of Calculus | |
The Substitution Rule | |
Applications of Integration | |
Areas between Curves | |
Volume | |
Volumes by Cylindrical Shells | |
Work | |
Average Value of a Function | |
Applied Project: Where to Sit at the Movies | |
Techniques of Integration | |
Integration by Parts | |
Trigonometric Integrals | |
Trigonometric Substitution | |
Integration of Rational Functions by Partial Fractions | |
Strategy for Integration | |
Integration Using Tables and Computer Algebra Systems | |
Discovery Project: Patterns in Integrals | |
Approximate Integration | |
Improper Integrals | |
Further Applications of Integration | |
Arc Length | |
Discovery Project: Arc Length Contest | |
Area of a Surface of Revolution | |
Discovery Project: Rotating on a Slant | |
Applications to Physics and Engineering | |
Applications to Economics and Biology | |
Probability | |
Differential Equations | |
Modeling with Differential Equations | |
Direction Fields and Euler?s Method | |
Separable Equations | |
Applied Project: Which is Faster, Going Up or Coming Down? | |
Exponential Growth and Decay | |
Applied Project: Calculus and Baseball | |
The Logistic Equation | |
Linear Equations | |
Predator-Prey Systems | |
Parametric Equations and Polar Coordinates | |
Curves Defined by Parametric Equations | |
Laboratory Project: Families of Hypocycloids | |
Tangents and Areas | |
Laboratory Project: Bezier Curves | |
Arc Length and Surface Area | |
Polar Coordinates | |
Areas and Lengths in Polar Coordinates | |
Conic Sections | |
Conic Sections in Polar Coordinates | |
Applied Project: Transfer Orbits | |
Infinite Sequences and Series | |
Sequences | |
Laboratory Project: Logistic Sequences | |
Series | |
The Integral Test and Estimates of Sums | |
The Comparison Tests | |
Alternating Series | |
Absolute Convergence and the Ratio and Root Tests | |
Strategy for Testing Series | |
Power Series | |
Representation of Functions as Power Series | |
Taylor and Maclaurin Series | |
The Binomial Series | |
Writing Project: How Newton Discovered the Binomial Series | |
Applications of Taylor Polynomials | |
Applied Project: Radiation from the Stars | |
Appendixes | |
Numbers, Inequalities, and Absolute Values | |
Coordinate Geometry and Lines | |
Graphs of Second-Degree Equations | |
Trigonometry | |
Sigma Notation | |
Proofs of Theorems | |
The Logarithm Defined as an Integral | |
Complex Numbers | |
Answers to Odd-Numbered Exercises | |
Table of Contents provided by Publisher. All Rights Reserved. |