Precalculus: Functions & Graphs (study guide)

by Swokowski, Earl; Cole, Jeffery A.

• ISBN13: 9780534352646
• ISBN10: 0534352642
• Format: Paperback
• Copyright: 1998-03-31
• Publisher: Brooks Cole

Table of Contents

Topics from Algebra	1	(40)
Real Numbers	1	(2)
Exponents and Radicals	3	(2)
Algebraic Expressions	5	(5)
Equations	10	(7)
Complex Numbers	17	(1)
Inequalities	18	(4)
Rectangular Coordinate Systems	22	(8)
Lines	30	(11)
Review Exercises	33	(6)
Discussion Exercises	39	(2)
Functions	41	(34)
Definition of Function	41	(6)
Graphs of Functions	47	(7)
Quadratic Functions	54	(6)
Operations on Functions	60	(6)
Inverse Functions	66	(9)
Review Exercises	68	(5)
Discussion Exercises	73	(2)
Polynomial and Rational Functions	75	(36)
Polynomial Functions of Degree Greater Than 2	75	(5)
Properties of Division	80	(4)
Zeros of Polynomials	84	(5)
Complex and Rational Zeros of Polynomials	89	(5)
Rational Functions	94	(17)
Review Exercises	105	(4)
Discussion Exercises	109	(2)
Exponential and Logarithmic Functions	111	(28)
Exponential Functions	111	(5)
The Natural Exponential Function	116	(4)
Logarithmic Functions	120	(5)
Properties of Logarithms	125	(3)
Exponential and Logarithmic Equations	128	(11)
Review Exercises	134	(3)
Discussion Exercises	137	(2)
The Trigonometric Functions	139	(48)
Angles	139	(2)
Trigonometric Functions of Angles	141	(5)
Trigonometric Functions of Real Numbers	146	(8)
Values of the Trigonometric Functions	154	(3)
Trigonometric Graphs	157	(10)
Additional Trigonometric Graphs	167	(7)
Applied Problems	174	(13)
Review Exercises	179	(7)
Discussion Exercises	186	(1)
Analytic Trigonometry	187	(36)
Verifying Trigonometric Identities	187	(4)
Trigonometric Equations	191	(5)
The Addition and Subtraction Formulas	196	(4)
Multiple-Angle Formulas	200	(5)
Product-to-Sum and Sum-to-Product Formulas	205	(2)
The Inverse Trigonometric Functions	207	(16)
Review Exercises	214	(7)
Discussion Exercises	221	(2)
Applications of Trigonometry	223	(24)
The Law of Sines	223	(2)
The Law of Cosines	225	(3)
Trigonometric Form for Complex Numbers	228	(3)
De Moivre's Theorem and nth Roots of Complex Numbers	231	(2)
Vectors	233	(4)
The Dot Product	237	(10)
Review Exercises	239	(5)
Discussion Exercises	244	(3)
Systems of Equations and Inequalities	247	(46)
Systems of Equations	247	(4)
Systems of Linear Equations in Two Variables	251	(4)
Systems of Linear Equations in More Than Two Variables	255	(6)
Partial Fractions	261	(3)
Systems of Inequalities	264	(5)
Linear Programming	269	(4)
The Algebra of Matrices	273	(4)
The Inverse of a Matrix	277	(3)
Determinants	280	(2)
Properties of Determinants	282	(11)
Review Exercises	285	(6)
Discussion Exercises	291	(2)
Sequences, Series, and Probability	293	(32)
Infinite Sequences and Summation Notation	293	(4)
Arithmetic Sequences	297	(3)
Geometric Sequences	300	(3)
Mathematical Induction	303	(5)
The Binomial Theorem	308	(3)
Permutations	311	(1)
Distinguishable Permutations and Combinations	312	(1)
Probability	313	(12)
Review Exercises	317	(5)
Discussion Exercises	322	(3)
Topics from Analytic Geometry	325	(39)
Parabolas	325	(4)
Ellipses	329	(4)
Hyperbolas	333	(5)
Plane Curves and Parametric Equations	338	(7)
Polar Coordinates	345	(9)
Polar Equations of Conics	354	(10)
Review Exercises	358	(6)
Discussion Exercises	364