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   <subfield code="a">Chapter P. Prerequisites -- P.1. Review of real numbers and their properties -- P.2. Exponents and radicals -- P.3. Polynomials and special products -- P.4. Factoring polynomials -- P.5. Rational expressions -- P.6. The rectangular coordinate system and graphs -- Chapter 1. Equations, inequalities, and mathematical modeling -- 1.1. Graphs of equations -- 1.2. Linear equations in one variable -- 1.3. Modeling with linear equations -- 1.4. Quadratic equations and applications -- 1.5. Complex numbers -- 1.6. Other types of equations -- 1.7. Linear inequalities in one variable -- 1.8. Other types of inequalities -- Chapter 2. Functions and their graphs -- 2.1. Linear equations in two variables -- 2.2. Functions -- 2.3. Analyzinh graphs of functions -- 2.4. A library of parent functions -- 2.5. Transformations of functions -- 2.6. Combinations of functions: composite functions -- 2.7. Inverse functions -- Chapter 3. Polynomial functions -- 3.1. Quadratic functions and models -- 3.2. Polynomial functions of higher degree -- 3.3. Polynomial and synthetic division -- 3.4. Zeros of polynomial functions -- 3.5. Mathematical modeling and variation -- Chapter 4. Rational functions and conics -- 4.1. Rational functions and asymptotes -- 4.2. Graphs of rational functions -- 4.3. Conics -- 4.4. Translations of conics -- Chapter 5. Exponential and logarithmic functions -- 5.1. Exponential functions and their graphs -- 5.2. Logarithmic functions and their graphs -- 5.3. Properties of logarithms -- 5.4. Exponential and logarithmic equations -- 5.5. Exponential and logarithmic models -- Chapter 6. Trigonometry -- 6.1. Angles and their measures -- 6.2. Right triangle trigonometry -- 6.3. Trigonometric functions of any angle -- 6.4. Graphs of sine and cosine functions -- 6.5. Graphs of other trigonometric functions -- 6.6. Inverse trigonometric functions -- 6.7. Applications and models -- Chapter 7. Analytic trigonometry -- 7.1. Using fundamental identities -- 7.2. Verifying trigonometric identities -- 7.3. Solving trigonometric equations -- 7.4. Sum and difference formulas -- 7.5. Multiple-angle and product-to-sum formulas -- Chapter 8. Additional topics in trigonometry -- 8.1. Law of sines -- 8.2. Law of cosines -- 8.3. Vectors in the plane -- 8.4. Vectors and dot products -- 8.5. Trigonometric form of a complex number -- Chapter 9. Systems of equations and inequalities -- 9.1. Linear and nonlinear systems of equations -- 9.2. Two-variable linear systems -- 9.3. Multivariable linear systems -- 9.4. Partial fractions -- 9.5. Systems of inequalities -- 9.6. Linear programming -- Chapter 10. Matrices and determinants -- 10.1. Matrices and systems equations -- 10.2. Operations with matrices -- 10.3. The inverse of a square matrix -- 10.4. The determinant of a square matrix -- 10.5. Applications of matrices and determinants -- Chapter 11. Sequences, series, and probability -- 11.1. Sequences and series -- 11.2. Arithmetic sequences and partial sums -- 11.3. Geometric sequences and series -- 11.4. Mathematical induction -- 11.5. The binomial theorem -- 11.6. Counting principles -- 11.7. Probability.</subfield>
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