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Full Description
The Bittinger Concepts and Applications Program delivers proven pedagogy, guiding students from skills-based math to the concepts-oriented math required for college courses.
Contents
1. Algebra and Problem Solving1.1 Some Basics of Algebra1.2 Operations and Properties of Real Numbers1.3 Solving Equations1.4 Introduction to Problem Solving1.5 Formulas, Models, and Geometry1.6 Properties of Exponents1.7 Scientific Notation2. Graphs, Functions, and Linear Equations2.1 Graphs2.2 Functions2.3 Linear Functions: Slope, Graphs, and Models2.4 Another Look at Linear Graphs2.5 Equations of Lines and Modeling2.6 The Algebra of Functions3. Systems of Linear Equations and Problem Solving3.1 Systems of Equations in Two Variables3.2 Solving by Substitution or Elimination3.3 Solving Applications: Systems of Two Equations3.4 Systems of Equations in Three Variables3.5 Solving Applications: Systems of Three Equations3.6 Elimination Using Matrices3.7 Determinants and Cramer's Rule3.8 Business and Economics Applications4. Inequalities and Problem Solving4.1 Inequalities and Applications4.2 Intersections, Unions, and Compound Inequalities4.3 Absolute-Value Equations and Inequalities4.4 Inequalities in Two Variables4.5 Applications Using Linear Programming5. Polynomials and Polynomial Functions5.1 Introduction to Polynomials and Polynomial Functions5.2 Multiplication of Polynomials5.3 Common Factors and Factoring by Grouping5.4 Factoring Trinomials5.5 Factoring Perfect-Square Trinomials and Differences of Squares5.6 Factoring Sums or Differences of Cubes5.7 Factoring: A General Strategy5.8 Applications of Polynomial Equations6. Rational Expressions, Equations, and Functions6.1 Rational Expressions and Functions: Multiplying and Dividing6.2 Rational Expressions and Functions: Adding and Subtracting6.3 Complex Rational Expressions6.4 Rational Equations6.5 Solving Applications Using Rational Equations6.6 Division of Polynomials6.7 Synthetic Division and the Remainder Theorem6.8 Formulas, Applications, and Variation7. Exponents and Radicals7.1 Radical Expressions and Functions7.2 Rational Numbers as Exponents7.3 Multiplying Radical Expressions7.4 Dividing Radical Expressions7.5 Expressions Containing Several Radical Terms7.6 Solving Radical Equations7.7 The Distance Formula, the Midpoint Formula, and Other Applications7.8 The Complex Numbers8. Quadratic Functions and Equations8.1 Quadratic Equations8.2 The Quadratic Formula8.3 Studying Solutions of Quadratic Equations8.4 Applications Involving Quadratic Equations8.5 Equations Reducible to Quadratic8.6 Quadratic Functions and Their Graphs8.7 More About Graphing Quadratic Functions8.8 Problem Solving and Quadratic Functions8.9 Polynomial Inequalities and Rational Inequalities9. Exponential Functions and Logarithmic Functions9.1 Composite Functions and Inverse Functions9.2 Exponential Functions9.3 Logarithmic Functions9.4 Properties of Logarithmic Functions9.5 Common Logarithms and Natural Logarithms9.6 Solving Exponential Equations and Logarithmic Equations9.7 Applications of Exponential Functions and Logarithmic Functions10. Conic Sections10.1 Conic Sections: Parabolas and Circles10.2 Conic Sections: Ellipses10.3 Conic Sections: Hyperbolas10.4 Nonlinear Systems of Equations11. Sequences, Series, and the Binomial Theorem11.1 Sequences and Series11.2 Arithmetic Sequences and Series11.3 Geometric Sequences and Series11.4 The Binomial Theorem
