Synopses & Reviews
The Problem Solvers are an exceptional series of books that are thorough, unusually well-organized, and structured in such a way that they can be used with any text. No other series of study and solution guides has come close to the Problem Solvers in usefulness, quality, and effectiveness. Educators consider the Problem Solvers the most effective series of study aids on the market. Students regard them as most helpful for their school work and studies. With these books, students do not merely memorize the subject matter, they really get to understand it. Each Problem Solver is over 1,000 pages, yet each saves hours of time in studying and finding solutions to problems. These solutions are worked out in step-by-step detail, thoroughly and clearly. Each book is fully indexed for locating specific problems rapidly. Prepares students for calculus courses. Thorough coverage of first-year college math, including algebraic, trigonometric, exponential, and logarithmic functions and their graphs. Includes solutions of linear and quadratic equations, analytic geometry, elementary statistics, differentiation and integration, determinants, matrices, and systems of equations. Problem-solving strategies are included at the beginning of every chapter for each topic covered.
From accounting to vector analysis, this book delivers solutions for problemsin a variety of subjects.
REAs Problem Solvers is a series of useful, practical, and informative study guides. Each title in the series is complete step-by-step solution guide. The Pre-Calculus Problem Solver enables students to solve difficult problems by showing them step-by-step solutions to Pre-Calculus problems. The Problem Solvers cover material ranging from the elementary to the advanced and make excellent review books and textbook companions. The Pre-Calculus Problem Solver is the perfect resource for any class, any exam, and any problem!
REAs Pre-Calculus Problem Solver
Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. Answers to all of your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. They're perfect for undergraduate and graduate studies.
This highly useful reference provides thorough coverage of first-year college math, including algebraic, trigonometric, exponential, and logarithmic functions and their graphs. Includes solutions of linear and quadratic equations, analytic geometry, elementary statistics, differentiation and integration, determinants, matrices, and systems of equations. Problem-solving strategies are included at the beginning of every chapter for each topic covered.
About the Author
Dennis Smolarski, Ph.D., is associate professor of mathematics at Santa Clara University, Santa Clara, CA.
Founded in 1959, Research & Education Association is dedicated to producing the finest and most effective digital and print materials in educational publishing, including some of Americas most popular test preps and study aids. REAs wide-ranging catalog is a leading resource for teachers, students, and professionals.
Table of Contents
Chapter No. Page No.
SECTION 1: ALGEBRA
1 THE NUMBER SYSTEM
2 DEFINITIONS AND NOTATION OF SETS
AND SET OPERATIONS
3 FUNDAMENTAL ALGEBRAIC LAWS AND
OPERATIONS WITH NUMBERS
4 FUNDAMENTAL ALGEBRAIC LAWS AND
OPERATIONS WITH ALGEBRAIC EXPRESSIONS
5 FACTORING EXPRESSIONS
6 EXPONENT, RADICAL AND POWER
7 FUNCTIONS AND GRAPHS
8 RATIOS, PROPORTIONS AND VARIATIONS
9 EQUATIONS AND GRAPHS
10 LINEAR FUNCTIONS AND EQUATIONS
11 SYSTEMS OF LINEAR EQUATIONS
12 QUADRATIC FUNCTIONS AND GRAPHS
13 QUADRATIC EQUATIONS AND SYSTEMS OF
EQUATIONS INVOLVING QUADRATICS
14 EQUATIONS OF DEGREE GREATER THAN 2
15 THEORY OF EQUATIONS
16 INEQUALITIES AND GRAPHS
17 PROGRESSIONS AND SEQUENCES
18 MATHEMATICAL INDUCTION
19 THE BINOMIAL THEOREM
20 LOGARITHMS AND EXPONENTIALS
24 VECTORS, MATRICES AND DETERMINANTS
25 DETERMINANTS, MATRICES AND
SYSTEMS OF EQUATIONS
26 PARTIAL FRACTIONS
SECTION 2: PLANE TRIGONOMETRY
28 ANGLES AND ARCS
29 DEFINITIONS OF THE
30 TABLES AND LOGARITHMS OF THE
31 PROPERTIES, GRAPHS AND SPECIAL VALUES
OF TRIGONOMETRIC FUNCTIONS
32 TRIGONOMETRIC IDENTITIES AND FORMULAS
33 SOLVING TRIANGLES
34 INVERSE TRIGONOMETRIC FUNCTIONS
35 TRIGONOMETRIC EQUATIONS
36 COMPLEX NUMBERS
37 THE HYPERBOLIC AND INVERSE
SECTION 3: ANALYTIC GEOMETRY
39 STRAIGHT LINES AND FAMILIES
OF STRAIGHT LINES
44 TRANSFORMATION OF COORDINATES
45 POLAR COORDINATES
46 PARAMETRIC EQUATIONS
47 SPACE-RELATED PROBLEMS
SECTION 4: INTRODUCTION TO CALCULUS
50 D - FUNCTION
51 THE DERIVATIVE
52 DIFFERENTIATION OF ALGEBRAIC FUNCTIONS
55 ELEMENTARY STATISTICS