Student Mathematics Handbook for Calculus

Description

FREE with every purchase of a new copy of Bradley/Smith's text, this handbook contains review material, learning tips and integral tables. A cross-reference icon in the text directs students to the handbook for additional information. Front Cover Title Page Copyright Page Contents Preface 1 Review of Geometry 1.1 Polygons 1.2 Circles 1.3 Solid Geometry 1.4 Congruent Triangles 1.5 Similar Triangles 1.6 Problem Set 1 2 Review of Algebra 2.1 Real Numbers 2.2 Powers and Roots 2.3 Sequences and Series 2.4 Completing the Square 2.5 Solving Equations 2.6 Solving Inequalities 2.7 Determinants 2.8 Functions 2.9 Polynomials 2.10 Problem Set 2 3 Review of Trigonometry 3.1 Trigonometric Functions 3.2 Inverse Trigonometric Functions 3.3 Evaluating Trigonometric Functions 3.4 Trigonometric Graphs 3.5 Trigonometric Identities 3.6 Solving Triangles 3.7 Trigonometric Equations 3.8 Problem Set 3 4 Conic Sections: Parabolas 4.1 Standard Position Parabolas 4.2 Translation of Parabolas 4.3 Representation of Parabolas in Polar Form 4.4 Parabolic Reflectors 4.5 Problem Set 4 5 Conic Sections: The Ellipse and the Hyperbola 5.1 Ellipses 5.2 Hyperbolas 5.3 Eccentricity and Polar Coordinates 5.4 Geometric Properties 5.5 Problem Set 5 6 Curve Sketching 6.1 Symmetry 6.2 Extent 6.3 Asymptotes 6.4 Intercepts 6.5 Problem Set 6 7 Catalog of Special Curves 8 Limit Formulas 8.1 Definition of Limit 8.2 Rules of Limits 8.3 Limits of a Function of Two Variables 9 Differentiation Formulas 9.1 Definition of Derivative 9.2 Procedural Rules of Differentiation 9.3 Differentiation Rules 9.4 Functions of Two Variables 10 Integration Formulas 10.1 Definition of Integral 10.2 Procedural Rules for Integration 10.3 Integration Rules 10.4 Table of Integrals 10.5 Bernoulli and Euler Numbers; Gamma and Beta Functions 10.6 Definite Integral Formulas 11 Series 11.1 Series of Constants 11.2 Taylor Series Appendices A. Mathematical Symbols B. Greek Alphabet C. Answers Index Back Cover