Student Mathematics Handbook and Integral Table for Calculus

✍ Scribed by Karl J. Smith

• Publisher: Prentice Hall
• Year: 2002
• Tongue: English
• Leaves: 328
• Edition: 3
• Category: Library

✦ Table of Contents

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 Algebraic Processes
2.3 Powers and Roots
2.4 Sequences and Series
2.5 Solving Equations
2.6 Completing the Square
2.7 Solving Inequalities
2.8 Determinants
2.9 Functions
2.10 Polynomials
2.11 Problem Set 2
3 Systems of Equations
3.1 Elementary Methods
3.2 Matrix Methods
3.3 Equality-of-Coefficients Method
3.4 Problem Set 3
4 Review of Trigonometry
4.1 Trigonometric Functions
4.2 Inverse Trigonometric Functions
4.3 Evaluating Trigonometric Functions
4.4 Trigonometric Graphs
4.5 Trigonometric Identities
4.6 Solving Triangles
4.8 Problem Set 4
5 Polar Coordinates
5.1 Plotting Points in Polar Coordinates
5.2 Relationship Between Polar and Rectangular Coordinates
5.3 Polar Graphs
5.4 Graphing by Plotting Points
5.6 Symmetry and Rotations
5.7 Limaçons
5.8 Rose Curves
5.9 Lemniscates
5.10 Problem Set 5
6 Conic Sections: The Parabola
6.1 Standard-Position Parabolas
6.2 Translation of Parabolas
6.3 Representation in Polar Coordinates
6.4 Parabolic Reflectors
6.5 Problem Set 6
7 Conic Sections: The Ellipse and the Hyperbola
7.1 Ellipses
7.2 Hyperbolas
7.3 Eccentricity and Polar Coordinates
7.4 Geometric Properties
7.5 Problem Set 7
8 Curve Sketching
8.1 Symmetry
8.2 Extent
8.3 Asymptotes
8.4 Intercepts
8.5 Problem Set 8
9 Catalog of Special Curves
10 Limit Formulas
10.1 Definition of Limit
10.2 Rules of Limits
10.3 Limits of a Function of Two Variables
11 Differentiation Formulas
11.1 Definition of Derivative
11.2 Procedural Rules of Differentiation
11.3 Differentiation Rules
11.4 Functions of Two Variables
12 Integration Formulas
12.1 Definition of Integral
12.2 Procedural Rules for Integration
12.3 Integration Rules
12.4 Integral Table
12.5 Bernoulli and Euler Numbers; Gamma and Beta Functions
12.6 Definite Integral Formulas
13 Series
13.1 Series of Constants
13.2 Taylor Series
Appendices
A. Mathematical Symbols
B. Greek Alphabet
C. Answers
Index