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Preface
Review of Geometry
Polygons
Circles
Solid Geometry
Congruent Triangles
Similar Triangles
Problem Set
Review of Algebra
Real Numbers
Algebraic Processes
Powers and Roots
Sequences and Series
Solving Equations
Completing the Square
Solving Inequalities
Determinants
Functions
Polynomials
Problem Set
Systems of Equations
Elementary Methods
Matrix Methods
Equality-of-Coefficients Method
Problem Set
Review of Trigonometry
Trigonometric Functions
Inverse Trigonometric Functions
Evaluating Trigonometric Functions
Trigonometric Graphs
Trigonometric Identities
Solving Triangles
Problem Set
Polar Coordinates
Plotting Points in Polar Coordinates
Relationship Between Polar and Rectangular Coordinates
Polar Graphs
Graphing by Plotting Points
Symmetry and Rotations
Limaçons
Rose Curves
Lemniscates
Problem Set
Conic Sections: The Parabola
Standard-Position Parabolas
Translation of Parabolas
Representation in Polar Coordinates
Parabolic Reflectors
Problem Set
Conic Sections: The Ellipse and the Hyperbola
Ellipses
Hyperbolas
Eccentricity and Polar Coordinates
Geometric Properties
Problem Set
Curve Sketching
Symmetry
Extent
Asymptotes
Intercepts
Problem Set
Catalog of Special Curves
Limit Formulas
Definition of Limit
Rules of Limits
Limits of a Function of Two Variables
Differentiation Formulas
Definition of Derivative
Procedural Rules of Differentiation
Differentiation Rules
Functions of Two Variables
Integration Formulas
Definition of Integral
Procedural Rules for Integration
Integration Rules
Integral Table
Bernoulli and Euler Numbers Gamma and Beta Functions
Definite Integral Formulas
Series
Series of Constants
Taylor Series
Appendices
A Mathematical Symbols
B Greek Alphabet
C Answers
Index