Ebook: Precalculus with limits

Contents note continued: 5.5. Multiple-Angle and Product-to-Sum Formulas -- Chapter Summary -- Review Exercises -- Chapter Test -- Proofs in Mathematics -- P.S. Problem Solving -- 6. Additional Topics in Trigonometery -- 6.1. Law of Sines -- 6.2. Law of Cosines -- 6.3. Vectors in the Plane -- 6.4. Vectors and Dot Products -- 6.5. Trigonometric Form of a Complex Number -- Chapter Summary -- Review Exercises -- Chapter Test -- Cumulative Test for Chapters 4-6 -- Proofs in Mathematics -- P.S. Problem Solving -- 7. Systems of Equations and Inequalities -- 7.1. Linear and Nonlinear Systems of Equations -- 7.2. Two-Variable Linear Systems -- 7.3. Multivariable Linear Systems -- 7.4. Partial Fractions -- 7.5. Systems of Inequalities -- 7.6. Linear Programming -- Chapter Summary -- Review Exercises -- Chapter Test -- Proofs in Mathematics -- P.S. Problem Solving -- 8. Matrices and Determinants -- 8.1. Matrices and Systems of Equations -- 8.2. Operations with Matrices.;Contents note continued: 8.3. The Inverse of a Square Matrix -- 8.4. The Determinant of a Square Matrix -- 8.5. Applications of Matrices and Determinants -- Chapter Summary -- Review Exercises -- Chapter Test -- Proofs in Mathematics -- P.S. Problem Solving -- 9. Sequences, Series, and Probability -- 9.1. Sequences and Series -- 9.2. Arithmetic Sequences and Partial Sums -- 9.3. Geometric Sequences and Series -- 9.4. Mathematical Induction -- 9.5. The Binomial Theorem -- 9.6. Counting Principles -- 9.7. Probability -- Chapter Summary -- Review Exercises -- Chapter Test -- Cumulative Test for Chapters 7-9 -- Proofs in Mathematics -- P.S. Problem Solving -- 10. Topics in Analytic Geometry -- 10.1. Lines -- 10.2. Introduction to Conics: Parabolas -- 10.3. Ellipses -- 10.4. Hyperbolas -- 10.5. Rotation of Conics -- 10.6. Parametric Equations -- 10.7. Polar Coordinates -- 10.8. Graphs of Polar Equations -- 10.9. Polar Equations of Conics -- Chapter Summary -- Review Exercises -- Chapter Test.;Contents note continued: Proofs in Mathematics -- P.S. Problem Solving -- 11. Analytic Geometry in Three Dimensions -- 11.1. The Three-Dimensional Coordinate System -- 11.2. Vectors in Space -- 11.3. The Cross Product of Two Vectors -- 11.4. Lines and Planes in Space -- Chapter Summary -- Review Exercises -- Chapter Test -- Proofs in Mathematics -- P.S. Problem Solving -- 12. Limits and an Introduction to Calculus -- 12.1. Introduction to Limits -- 12.2. Techniques for Evaluating Limits -- 12.3. The Tangent Line Problem -- 12.4. Limits at Infinity and Limits of Sequences -- 12.5. The Area Problem -- Chapter Summary -- Review Exercises -- Chapter Test -- Cumulative Test for Chapters 10-12 -- Proofs in Mathematics -- P.S. Problem Solving -- Appendices -- Appendix A Review of Fundamental Concepts of Algebra -- A.1. Real Numbers and Their Properties -- A.2. Exponents and Radicals -- A.3. Polynomials and Factoring -- A.4. Rational Expressions -- A.5. Solving Equations.;Contents note continued: 3.2. Logarithmic Functions and Their Graphs -- 3.3. Properties of Logarithms -- 3.4. Exponential and Logarithmic Equations -- 3.5. Exponential and Logarithmic Models -- Chapter Summary -- Review Exercises -- Chapter Test -- Cumulative Test for Chapters 1-3 -- Proofs in Mathematics -- P.S. Problem Solving -- 4. Trigonometry -- 4.1. Radian and Degree Measure -- 4.2. Trigonometric Functions: The Unit Circle -- 4.3. Right Triangle Trigonometry -- 4.4. Trigonometric Functions of Any Angle -- 4.5. Graphs of Sine and Cosine Functions -- 4.6. Graphs of Other Trigonometric Functions -- 4.7. Inverse Trigonometric Functions -- 4.8. Applications and Models -- Chapter Summary -- Review Exercises -- Chapter Test -- Proofs in Mathematics -- P.S. Problem Solving -- 5. Analytic Trigonometry -- 5.1. Using Fundamental Identities -- 5.2. Verifying Trigonometric Identities -- 5.3. Solving Trigonometric Equations -- 5.4. Sum and Difference Formulas.;Machine generated contents note: 1. Functions and Their Graphs -- 1.1. Rectangular Coordinates -- 1.2. Graphs of Equations -- 1.3. Linear Equations in Two Variables -- 1.4. Functions -- 1.5. Analyzing Graphs of Functions -- 1.6.A Library of Parent Functions -- 1.7. Transformations of Functions -- 1.8.Combinations of Functions: Composite Functions -- 1.9. Inverse Functions -- 1.10. Mathematical Modeling and Variation -- Chapter Summary -- Review Exercises -- Chapter Test -- Proofs in Mathematics -- P.S. Problem Solving -- 2. Polynomial and Rational Functions -- 2.1. Quadratic Functions and Models -- 2.2. Polynomial Functions of Higher Degree -- 2.3. Polynomial and Synthetic Division -- 2.4.Complex Numbers -- 2.5. Zeros of Polynomial Functions -- 2.6. Rational Functions -- 2.7. Nonlinear Inequalities -- Chapter Summary -- Review Exercises -- Chapter Test -- Proofs in Mathematics -- P.S. Problem Solving -- 3. Exponential and Logarithmic Functions -- 3.1. Exponential Functions and Their Graphs.;Contents note continued: A.6. Linear Inequalities in One Variable -- A.7. Errors and the Algebra of Calculus -- Appendix B Concepts in Statistics -- B.1. Representing Data -- B.2. Analyzing Data -- B.3. Modeling Data.