By Jon Rogawski
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Extra info for Single Variable Calculus Early Transcendentals (HS Version)
6 7. 7 7. eight four hundred Integration by means of elements four hundred Trigonometric Integrals 405 Trigonometric Substitution 413 Integrals concerning Hyperbolic and Inverse Hyperbolic capabilities 420 the tactic of Partial Fractions 426 unsuitable Integrals 436 chance and Integration 448 Numerical Integration 454 bankruptcy eight extra functions OF THE quintessential AND TAYLOR POLYNOMIALS eight. 1 eight. 2 eight. three eight. four 357 quarter among Curves 357 establishing Integrals: quantity, Density, normal worth 365 Volumes of Revolution 375 the strategy of Cylindrical Shells 384 paintings and effort 391 bankruptcy 7 innovations OF INTEGRATION 7. 1 7. 2 7. three 7. four 286 299 309 316 322 328 336 341 Arc size and floor sector Fluid strain and strength heart of Mass Taylor Polynomials 467 467 474 480 488 C ONTE N TS bankruptcy nine creation TO DIFFERENTIAL EQUATIONS 502 nine. 1 nine. 2 nine. three nine. four nine. five fixing Differential Equations types regarding y = k(y − b) Graphical and Numerical equipment The Logistic Equation First-Order Linear Equations bankruptcy 10 countless sequence 10. 1 10. 2 10. three 10. four 10. five 10. 6 10. 7 Sequences Summing an Infinite sequence Convergence of sequence with optimistic phrases Absolute and Conditional Convergence The Ratio and Root checks energy sequence Taylor sequence 502 511 516 524 528 537 537 548 559 569 575 579 591 CALCULUS vii bankruptcy eleven PARAMETRIC EQUATIONS, POLAR COORDINATES, AND CONIC SECTIONS 607 eleven. 1 eleven. 2 eleven. three eleven. four eleven. five Parametric Equations Arc size and velocity Polar Coordinates region and Arc size in Polar Coordinates Conic Sections 607 620 626 634 641 APPENDICES A. The Language of arithmetic B. homes of actual Numbers C. Induction and the Binomial Theorem D. extra Proofs A1 A1 A8 A13 A18 solutions TO ODD-NUMBERED routines A27 REFERENCES A98 photograph credit INDEX A101 I1 ABOUT JON ROGAWSKI As a profitable instructor for greater than 30 years, Jon Rogawski has listened to and realized a lot from his personal scholars. those important classes have made an effect on his considering, his writing, and his shaping of a calculus textual content. Jon Rogawski acquired his undergraduate and master’s levels in arithmetic concurrently from Yale collage, and he earned his PhD in arithmetic from Princeton collage, the place he studied below Robert Langlands. earlier than becoming a member of the dep. of arithmetic at UCLA in 1986, the place he's at present a whole professor, he held instructing and vacationing positions on the Institute for complicated examine, the college of Bonn, and the college of Paris at Jussieu and at Orsay. Jon’s parts of curiosity are quantity conception, automorphic types, and harmonic research on semisimple teams. He has released various learn articles in best arithmetic journals, together with the learn monograph Automorphic Representations of Unitary teams in 3 Variables (Princeton collage Press). he's the recipient of a Sloan Fellowship and an editor of the Pacific magazine of arithmetic and the Transactions of the AMS. Jon and his spouse, Julie, a doctor in relations perform, have 4 young children. They run a hectic loved ones and, at any time when attainable, take pleasure in kin vacation trips within the mountains of California.