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Presents engineers with a resource for learning calculus. This book includes worked examples and problem types that help improve comprehension. It provides applied exercises that demonstrate the usefulness of the mathematics. It incorporates summary tables with step-by-step details into the chapters to make the concepts easier to understand.
Sommario
Chapter 0 Before Calculus
Chapter 1 Limits and Continuity
Chapter 2 The Derivative
Chapter 3 Topics in Differentiation
Chapter 4 The Derivative in Graphing and Applications
Chapter 5 Integration
Chapter 6 Applications of the Definite Integral in Geometry, Science, and Engineering
Ch 7 Principles of Integral Evaluation
Ch 8 Mathematical Modeling with Differential Equations
Ch 9 Infinite Series
Ch 10 Parametric and Polar Curves; Conic Sections
Ch 11 Three-Dimensional Space; Vectors
Ch 12 Vector-Valued Functions
Ch 13 Partial Derivatives
Ch 14 Multiple Integrals
Ch 15 Topics in Vector Calculus
Appendix [order of sections TBD]
A Graphing Functions Using Calculators and Computer Algebra Systems
B Trigonometry Review
C Solving Polynomial Equations
D Mathematical Models
E Selected Proofs
Web Appendices
F Real Numbers, Intervals, and Inequalities
G Absolute Value
H Coordinate Planes, Lines, and Linear Functions
I Distance, Circles, and Quadratic Functions
J Second-Order Linear Homogeneous Differential Equations; The Vibrating String
K The Discriminant
ANSWERS
PHOTOCREDITS
INDEX
