Synopsis
Alice Kaseberg's respected Intermediate Algebra: Everyday Explorations, Fourth Edition, helps students build confidence in algebra. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention. Known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy, Intermediate Algebra includes a host of teaching and learning tools that work together for maximum flexibility and a high student success rate. With the Fourth Edition, instructors have access to an Instructor's Annotated Edition that provides additional examples, as well as a robust Instructor's Resource Manual, algorithmic computerized testing, and an extensive online homework system.
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Review
0. REVIEW. Number Sense. Coordinate Systems. Solving Linear Equations and Inequalities. Inequalities, Line graphs and Intervals. Solving Systems of Equations. Quantity Rate Tables. Problem Solving. 1. LINEAR FUNCTIONS AND INEQUALITIES. Functions. Functions Represented in Four Ways. Linear Functions. Modeling Linear Functions and Inequalities. Modeling Special Linear Functions and Inequalities. Solving Linear and Absolute Value Inequalities. 2. QUADRATIC AND POLYNOMIAL FUNCTIONS. Quadratic Functions. Modeling Quadratic Functions. Polynomial Functions and Operations. Special Products and Completing the Square. Solving Quadratic Equations with Tables, Graphs, and Factors. The Roles of a, b, c, and Binomial Squares in Graphing Quadratic Functions. 3. SQUARE ROOTS; QUADRATIC EQUATIONS AND INEQUALITIES. The Square Root Function and the Pythagorean Theorem. Solving Quadratic Equations with Square Roots. Solving Quadratic Equations with the Quadratic Formula. Solving Minimum and Maximum Problems. Complex Numbers and Solving Polynomial Equations. Shifts, Vertex Form, and Applications of Quadratic Functions. Solving Quadratic Inequalities. 4. VARIATION AND RATIONAL FUNCTIONS. Ratios, Units of Measure, and Proportions. Direct Variation. Inverse Variation and Related Graphs. Simplification, Multiplication, and Division of Rational Expressions. Division of Polynomials and Related Graphs. Addition and Subtraction of Rational Expression. Solving Rational Equations. 5. EXPONENTS AND RADICALS. Exponents and Their Properties. Scientific Notation. Rational Exponents. Roots and Rational Exponents. More Operations with Radicals. Solving Root and Power Equations. 6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Exponential Equations and Graphs. Finding Inverse Functions (from 7.6). Solving Exponential Equations: Logarithms. Applications of Exponential and Logarithmic Functions. Properties of Logarithms and the Logarithmic Scale. The Natural Number e in Exponential and Logarithmic Functions. 7. SYSTEMS OF THREE EQUATIONS AND NONLINEAR SYSTEMS. Solving Systems of Three or More Equations. Conic Sections. Solving Systems of Nonlinear Equations. Solving Systems of Inequalities. Series and Sequences. 8. COUNTING AND PROBABILITY. Introduction to Probability. The Addition and Multiplication Principles. More on the Addition and Multiplication Principles. Permutations and Combinations. Final Exam Review.
About the Author
Alice Kaseberg combines 30 years of secondary school and community college teaching experience with an avid mathematical curiosity, constantly seeking to answer the commonly asked question, "What is mathematics good for?" Her BA in Business Administration, MA in Mathematics, and MS in Engineering Science reflect her keen interest in academics and mathematics applications. She began her career as a teacher in Australia. Then, as a junior high teacher, she class-tested materials from the Mathematics Resource Project, Lane County Math Project, School Mathematics Project (of Great Britain), and Bob Wirtz's Drill and Practice at the Problem Solving Level. Her mentors were early advocates of the discovery approach, laboratory activities, and membership/involvement in professional organizations. Kaseberg has always reached out to mathematics students in a variety of situations. She was a high school teacher for the hearing impaired, where she taught contrasting classes such as Advanced Placement Calculus and remedial mathematics. Always eager to take on new projects, she organized weekly problem-solving activities for the entire department. As a community college teacher (15 years), she has taught a range of courses from Beginning Algebra through Calculus, as well as Strength of Materials and Statics in Engineering. While on sabbatical from teaching, she worked 15 months for the EQUALS Project, Berkeley, CA, writing Odds-on-You and coauthoring the EQUALS Handbook. In addition to her teaching at the school and community college level, she has developed and presented numerous workshops on mathematics applications, content strategies, problem solving, art and math, and teaching strategies. Group work and intense participation by attendees characterize her workshops and her classroom. Her goal in writing textbooks is to help students succeed in mathematics, learn how to learn, and become actively aware of the mathematics in their daily lives.
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