Calculus IISpringer Science & Business Media, 1998 M01 9 - 345 páginas The goal of this text is to help students leam to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximum use to the students. With few exceptions we adhere to the following policies. • The section exercises are graded into three consecutive groups: (a) The first exercises are routine, modelIed almost exactly on the exam pIes; these are intended to give students confidence. (b) Next come exercises that are still based directly on the examples and text but which may have variations of wording or which combine different ideas; these are intended to train students to think for themselves. (c) The last exercises in each set are difficult. These are marked with a star (*) and some will challenge even the best students. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into what calculus is really about. • The exercises come in groups of two and often four similar ones. |
Contenido
III | 337 |
IV | 347 |
V | 354 |
VI | 358 |
VII | 369 |
VIII | 378 |
IX | 384 |
X | 392 |
XXV | 489 |
XXVI | 500 |
XXVII | 509 |
XXVIII | 521 |
XXIX | 528 |
XXX | 537 |
XXXII | 550 |
XXXIII | 561 |
XII | 398 |
XIV | 408 |
XV | 419 |
XVI | 428 |
XVII | 433 |
XVIII | 437 |
XIX | 445 |
XX | 457 |
XXIII | 465 |
XXIV | 477 |
XXXIV | 570 |
XXXV | 579 |
XXXVI | 586 |
XXXVII | 594 |
XXXVIII | 607 |
XXXIX | 617 |
XL | 632 |
XLI | A-43 |
XLII | A-67 |
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Términos y frases comunes
2x dx a₁ Algebra antiderivative axis b₁ c₁ c₂ Calculate center of mass coefficient comparison test complex numbers compute constant cos²x cosh defined definition derivative differential equation diverges dx dx dx/dt dy/dx Example Exercises for Section Figure Find the area Find the volume formula geometric series given graph of ƒ improper integral infinite integrals in Exercises integration by substitution interval l'Hôpital's rule lim x→0 limit linear m₁ Maclaurin series mean value theorem meters Newton's method obtained by revolving oscillations parametric curve partial sums plane polynomial power series Prove r₁ radius of convergence real number region root S₁ sequence series converges Show Simpson's rule sin²x sinh sint Sketch solid solution Solve spring equation substitution tangent line tanh trigonometric write x₁ x² dx zero