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Mendelson, Elliott. McGraw-Hill's 500 College Calculus Questions to Know by Test Day. US: McGraw-Hill, 2012.

McGraw-Hill's 500 College Calculus Questions to Know by Test Day

Authors: Elliott Mendelson

Published:  August 2012

eISBN: 9780071789646 0071789642 | ISBN: 9780071789639
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Book description:

500 Ways to Achieve Your Best Grades

We want you to succeed on your college calculus midterm and final exams. That's why we've selected these 500 questions to help you study more effectively, use your preparation time wisely, and get your best grades. These questions and answers are similar to the ones you'll find on a typical college exam, so you will know what to expect on test day. Each question includes explanations for right and wrong answers for your full understanding of the concepts. Whether you have been studying all year or are doing a last-minute review, McGraw-Hill's 500 Calculus Questions will help you achieve the final grade you desire.

Sharpen your subject knowledge and build your test-taking confidence with:

  • 500 essential college calculus questions

  • Complete answer explanations

  • Coverage of calculus from absolute value to space vectors

Dr. Elliott Mendelson

was a professor of mathematics at Queens College, the City University of New York. He taught mathematics at the college level for more than 30 years.

Keywords: LINEAR COORDINATE SYSTEMS, ABSOLUTE VALUE, INEQUALITIES, RECTANGULAR COORDINATE SYSTEMS, LINES, CIRCLES, EQUATIONS AND THEIR GRAPHS, FUNCTIONS, LIMITS, CONTINUITY, DERIVATIVE, RULES FOR DIFFERENTIATING FUNCTIONS, IMPLICIT DIFFERENTIATION, TANGENT AND NORMAL LINES, LAW OF THE MEAN, INCREASING AND DECREASING FUNCTIONS, MAXIMUM AND MINIMUM VALUES, CURVE SKETCHING, CONCAVITY, SYMMETRY, REVIEW OF TRIGONOMETRY, DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS, INVERSE TRIGONOMETRIC, RECTILINEAR AND CIRCULAR MOTION, RELATED RATES, DIFFERENTIALS, NEWTON'S METHOD, ANTIDERIVATIVES, THE DEFINITE INTEGRAL, AREA UNDER A CURVE, THE FUNDAMENTAL THEOREM OF CALCULUS, THE NATURAL LOGARITHM, EXPONENTIAL AND LOGARITHMIC FUNCTIONS, L'HOPITAL'S RULE, EXPONENTIAL GROWTH AND DECAY, APPLICATIONS OF INTEGRATION I: AREA AND ARC LENGTH, APPLICATIONS OF INTEGRATION II: VOLUME, TECHNIQUES OF INTEGRATION I: INTEGRATION BY PARTS, TECHNIQUES OF INTEGRATION II: TRIGONOMETRIC INTEGRANDS AND TRIGONOMETRIC SUBSTITUTIONS, TECHNIQUES OF INTEGRATION III: INTEGRATION BY PARTIAL FRACTIONS, TECHNIQUES OF INTEGRATION IV: MISCELLANEOUS SUBSTITUTIONS, IMPROPER INTEGRALS, APPLICATIONS OF INTEGRATION III: AREA OF A SURFACE OF REVOLUTION, PARAMETRIC REPRESENTATION OF CURVES, CURVATURE, PLANE VECTORS, CURVILINEAR MOTION, POLAR COORDINATES, INFINITE SEQUENCES, INFINITE SERIES, SERIES WITH POSITIVE TERMS, THE INTEGRAL TEST, COMPARISON TESTS, ALTERNATING SERIES, ABSOLUTE AND CONDITIONAL CONVERGENCE, THE RATIO TEST, POWER SERIES, TAYLOR AND MACLAURIN SERIES. TAYLOR'S FORMULAS WITH REMAINDER, PARTIAL DERIVATIVES, TOTAL DIFFERENTIAL, DIFFERENTIABILITY, CHAIN RULES, SPACE VECTORS, SURFACES AND CURVES IN SPACE, DIRECTIONAL DERIVATIVES, MAXIMUM AND MINIMUM VALUES, VECTOR DIFFERENTIATION AND INTEGRATION, DOUBLE AND ITERATED INTEGRALS, CENTROIDS AND MOMENTS OF INERTIA OF PLANE AREAS, DOUBLE INTEGRATION APPLIED TO VOLUME UNDER A SURFACE AND THE AREA OF A CURVED SURFACE, TRIPLE INTEGRALS, MASSES OF VARIABLE DENSITY, DIFFERENTIAL EQUATIONS OF FIRST AND SECOND ORDER