Student Mathematics Handbook for Calculus

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