Mathematical reform is the driving force behind the organization and development of this new precalculus text. The use of technology, primarily graphing utilities, is assumed throughout the text. The development of each topic proceeds from the concrete to the abstract and takes full advantage of technology, wherever appropriate. The first major objective of this book is to encourage students to investigate mathematical ideas and processes graphically and numerically, as well as algebraically. Proceeding in this way, students gain a broader, deeper, and more useful understanding of a concept or process. Even though concept development and technology are emphasized, manipulative skills are not ignored, and plenty of opportunities to practice basic skills are present. A brief look at the table of contents will reveal the importance of the function concept as a unifying theme. The second major objective of this book is the development of a library of elementary functions, including their important properties and uses.
Having this library of elementary functions as a basic working tool in their mathematical tool boxes, students will be able to move into calculus with greater confidence and understanding. In addition, a concise review of basic algebraic concepts is included in Appendix A for easy reference, or systematic review. The third major objective of this book is to give the student substantial experience in solving and modeling real world problems. Enough applications are included to convince even the most skeptical student that mathematics is really useful. Most of the applications are simplified versions of actual real-world problems taken from professional journals and professional books. No specialized experience is required to solve any of the applications.
Auflage
Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Editions-Typ
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 259 mm
Breite: 213 mm
Dicke: 33 mm
Gewicht
ISBN-13
978-0-07-292235-6 (9780072922356)
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Schweitzer Klassifikation
1 Functions, Graphs, and Models 1.1 Using Graphing Utilities 1.2 Functions 1.3 Functions: Graphs and Properties 1.4 Functions: Graphs and Transformations 1.5 Operations on Functions; Composition 1.6 Inverse Functions 2 Modeling with Linear and Quadratic Functions 2.1 Linear Functions 2.2 Linear Equations and Models 2.3 Quadratic Functions 2.4 Complex Numbers 2.5 Quadratic Equations and Models 2.6 Additional Equation-Solving Techniques 2.7 Solving Inequalities 3 Polynomial and Rational Functions 3.1 Polynomial Functions and Models 3.2 Real Zeros and Polynomial Inequalities 3.3 Complex Zeros and Rational Zeros of Polynomials 3.4 Rational Functions and Inequalities 4 Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Exponential Models 4.3 Logarithmic Functions 4.4 Logarithmic Models 4.5 Exponential and Logarithmic Equations 5 Modeling with Linear Systems 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations and Augmented Matrices 5.3 Gauss-Jordan Elimination 5.4 Systems of Linear Inequalities 5.5 Linear Programming 6 Matrices and Determinants 6.1 Matrix Operations 6.2 Inverse of a Square Matrix 6.3 Matrix Equations and Systems of Linear Equations 6.4 Determinants 6.5 Properties of Determinants 6.6 Determinants and Cramer's Rule 7 Sequences, Induction, and Probability 7.1 Sequences and Series 7.2 Mathematical Induction 7.3 Arithmetic and Geometric Sequences 7.4 Multiplication Princple, Permutations, and Combinations 7.5 Sample Spaces and Probability 7.6 Binomial Formula 8 Additional Topics in Analytic Geometry 8.1 Conic Sections; Parabola 8.2 Ellipse 8.3 Hyperbola 8.4 Translation of Axes 8.5 Nonlinear Systems Appendix A Review of Equations and Graphing A.1 Linear Equations and Inequalities A.2 Cartesian Coordinate System A.3 Basic Formulas in Analytic Geometry Appendix B Special Topics B.1 Significant Digits B.2 Partial Fractions B.3 Descartes' Rule of Signs B.4 Parametric Equations Appendix C Geometric Formulas
