Precalculus

"Algebra and Trigonometry: Real Mathematics, Real People, 6th edition, International Edition" is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Retaining the series' emphasis on student support, selected examples throughout the text include notations directing students to previous sections to review concepts and skills needed to master the material at hand. This book also achieves accessibility through careful writing and design - including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its new subtitle, this significant revision focuses more than ever on showing students the relevance of mathematics in their lives and future careers.

ISBN 1111430268   Pages 1008 ISBN13 9781111430269 (What's this?)   Weight (grammes) 1973 Publisher Cengage Learning, Inc   Published in Mason, OH Imprint CENGAGE Learning Custom Publishing   Previous ISBN 9780618394661 Format Paperback   Height (mm) 274 Publication date 31 Jan 2011   Width (mm) 216 DEWEY 512.13   Spine width (mm) 33 DEWEY edition DC23   Academic level Tertiary education

1. Structure and Process of Supervision. 2. Supervision Models: Psychotherapy-based Non-Psychotherapy-based. 3. Effective Supervision. 4. Supervisor. Gender and Perceived Stereotypes. Theoretical Orientation, Interaction and Learning Styles. BTI Types. Negative-Harmful Supervision. 5. Supervisee. Attachment Style. Self-presentation and Self-disclosure. Interaction and Learning Styles. Theoretical Orientation. Gender & Perceived Stereotypes. 6. Assessment of the Trainee. Knowledge and Skills. Personal Dynamics. Formal Assessment Tools. 7. Supervision Ethics. 8. Legal Aspects of Supervision in Psychotherapy. 9. Impacts of Culture and Diversity on the Supervisory Relationship and Process.

Each chapter concludes with a chapter summary, review exercises, a chapter test, and proofs in mathematics. P. PREREQUISITES. Real Numbers. Exponents and Radicals. Polynomials and Factoring. Rational Expressions. The Cartesian Plane. Representing Data Graphically. 1. FUNCTIONS AND THEIR GRAPHS. Introduction to Library of Functions. Graphs of Equations. Lines in the Plane. Functions. Graphs of Functions. Shifting, Reflecting, and Stretching Graphs. Combinations of Functions. Inverse Functions. 2. SOLVING EQUATIONS AND INEQUALITIES. Linear Equations and Problem Solving. Solving Equations Graphically. Complex Numbers. Solving Quadratic Equations Algebraically. Solving Other Types of Equations Algebraically. Solving Inequalities Algebraically and Graphically. Linear Models and Scatter Plots. Cumulative Test: Chapters P-2. Progressive Summary: Chapters P-2. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Quadratic Functions. Polynomial Functions of Higher Degree. Real Zeros of Polynomial Functions. The Fundamental Theorem of Algebra. Rational Functions and Asymptotes. Graphs of Rational Functions. Quadratic Models. Cumulative Test: Chapters 1-3. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Nonlinear Models. Cumulative Test: Chapters 3-4. Progressive Summary: Chapters P-4. 5. TRIGONOMETRIC FUNCTIONS. Angles and Their Measure. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Library of Parent Functions Review. 6. ANALYTIC TRIGONOMETRY. Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. Multiple-Angle and Product-to-Sum Formulas. 7. ADDITIONAL TOPICS IN TRIGONOMETRY. Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Trigonometric Form of a Complex Number. Cumulative Test: Chapters 5-7. Progressive Summary: Chapters P-7. 8. LINEAR SYSTEMS AND MATRICES. Solving Systems of Equations. Systems of Linear Equations in Two Variables. Multivariable Linear Systems. Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. 9. SEQUENCES, SERIES, AND PROBABILITY. Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. The Binomial Theorem. Counting Principles. Probability. 10. TOPICS IN ANALYTIC GEOMETRY. Circles and Parabolas. Ellipses. Hyperbolas. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Cumulative Test: Chapters 8-10. Progressive Summary: Ch P-10. APPENDIX A: TECHNOLOGY SUPPORT GUIDE. APPENDIX B: CONCEPTS IN STATISTICS (Web only). Measures of Central Tendency and Dispersion. Least Squares Regression. APPENDIX C: VARIATION (Web only) APPENDIX D: SOLVING LINEAR EQUATIONS AND INEQUALITIES (Web only). APPENDIX E: SYSTEMS OF INEQUALITIES (Web only). Solving Systems of Inequalities. Linear Programming. APPENDIX F: MATHEMATICAL INDUCTION (Web only).

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