Calculus: With Analytic GeometryWiley, 1980 - 1245 pages The aim of this major revision is to create a contemporary text which incorporates the best features of calculus reform yet preserves the main structure of an established and well-tested calculus course. The multivariate calculus material is completely rewritten to include the concept of a vector field and focuses on major physics and engineering applications of vector analysis. Covers such new topics as Jacobians, Kepler's laws, conics in polar coordinates and parametric representation of surfaces. Contains expanded use of calculator computations and numerous exercises. |
Table des matières
Coordinates Graphs Lines | 1 |
Functions and Limits | 51 |
Differentiation | 122 |
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Expressions et termes fréquents
3-space angle antiderivative approximate arc length axis calculus called chain rule circle constant continuous cosh curve defined definite integral denote differentiable distance diverges domain dx dx ellipse Evaluate Example Exercise Set expression f(xo formula function f geometric given graph of ƒ hyperbola IMPROPER INTEGRALS indeterminate form intersection inverse L'Hôpital's rule Let f(x lim f(x lim h→0 limit line segment Maclaurin series mathematics maximum notation obtain open interval parabola parallel parametric equations PARTIAL DERIVATIVES perpendicular plane polar coordinates polynomial positive problem Proof Prove radius real number rectangle result satisfies sec² secant line sequence series converges shown in Figure sigma notation sin² sinh Sketch the graph slope Solution subintervals Substituting surface tangent line Theorem trigonometric variables vector velocity vertical volume x-axis xy-plane y-axis yields ду дх