Table Of Content

FES-2 Page: FES-2 FES-3 Page: FES-3 FES-4 Page: FES-4 Title Page: i Statement Page: Statement Copyright Page: ii Contents Page: iii Preface Page: vii Instructor Resources Page: x Student Resources Page: xi Acknowledgements Page: xii Ch 1: Functions and Their Graphs Page: 1 1.1: Rectangular Coordinates Page: 2 1.2: Graphs of Equations Page: 11 1.3: Linear Equations in Two Variables Page: 22 1.4: Functions Page: 35 1.5: Analyzing Graphs of Functions Page: 49 1.6: A Library of Parent Functions Page: 60 1.7: Transformations of Functions Page: 67 1.8: Combinations of Functions: Composite Functions Page: 76 1.9: Inverse Functions Page: 84 1.10: Mathematical Modeling and Variation Page: 93 Ch 1: Chapter Summary Page: 104 Ch 1: Review Exercises Page: 106 Ch 1: Chapter Test Page: 109 Ch 1: Proofs in Mathematics Page: 110 Ch 1: P.S. Problem Solving Page: 111 Ch 2: Polynomial and Rational Functions Page: 113 2.1: Quadratic Functions and Models Page: 114 2.2: Polynomial Functions of Higher Degree Page: 124 2.3: Polynomial and Synthetic Division Page: 138 2.4: Complex Numbers Page: 147 2.5: Zeros of Polynomial Functions Page: 154 2.6: Rational Functions Page: 168 2.7: Nonlinear Inequalities Page: 180 Ch 2: Chapter Summary Page: 190 Ch 2: Review Exercises Page: 192 Ch 2: Chapter Test Page: 194 Ch 2: Proofs in Mathematics Page: 195 Ch 2: P.S. Problem Solving Page: 197 Ch 3: Exponential and Logarithmic Functions Page: 199 3.1: Exponential Functions and Their Graphs Page: 200 3.2: Logarithmic Functions and Their Graphs Page: 211 3.3: Properties of Logarithms Page: 221 3.4: Exponential and Logarithmic Equations Page: 228 3.5: Exponential and Logarithmic Models Page: 238 Ch 3: Chapter Summary Page: 250 Ch 3: Review Exercises Page: 252 Ch 3: Chapter Test Page: 255 Ch 3: Cumulative Test for Chapters 1–3 Page: 256 Ch 3: Proofs in Mathematics Page: 258 Ch 3: P.S. Problem Solving Page: 259 Ch 4: Trigonometry Page: 261 4.1: Radian and Degree Measure Page: 262 4.2: Trigonometric Functions: The Unit Circle Page: 272 4.3: Right Triangle Trigonometry Page: 279 4.4: Trigonometric Functions of Any Angle Page: 290 4.5: Graphs of Sine and Cosine Functions Page: 299 4.6: Graphs of Other Trigonometric Functions Page: 310 4.7: Inverse Trigonometric Functions Page: 320 4.8: Applications and Models Page: 330 Ch 4: Chapter Summary Page: 340 Ch 4: Review Exercises Page: 342 Ch 4: Chapter Test Page: 345 Ch 4: Proofs in Mathematics Page: 346 Ch 4: P.S. Problem Solving Page: 347 Ch 5: Analytic Trigonometry Page: 349 5.1: Using Fundamental Identities Page: 350 5.2: Verifying Trigonometric Identities Page: 357 5.3: Solving Trigonometric Equations Page: 364 5.4: Sum and Difference Formulas Page: 375 5.5: Multiple-Angle and Product-to-Sum Formulas Page: 382 Ch 5: Chapter Summary Page: 391 Ch 5: Review Exercises Page: 393 Ch 5: Chapter Test Page: 395 Ch 5: Proofs in Mathematics Page: 396 Ch 5: P.S. Problem Solving Page: 399 Ch 6: Additional Topics in Trigonometry Page: 401 6.1: Law of Sines Page: 402 6.2: Law of Cosines Page: 411 6.3: Vectors in the Plane Page: 418 6.4: Vectors and Dot Products Page: 431 6.5: Trigonometric Form of a Complex Number Page: 440 Ch 6: Chapter Summary Page: 450 Ch 6: Review Exercises Page: 452 Ch 6: Chapter Test Page: 456 Ch 6: Cumulative Test for Chapters 4–6 Page: 457 Ch 6: Proofs in Mathematics Page: 459 Ch 6: P.S. Problem Solving Page: 463 Ch 7: Systems of Equations and Inequalities Page: 465 7.1: Linear and Nonlinear Systems of Equations Page: 466 7.2: Two-Variable Linear Systems Page: 476 7.3: Multivariable Linear Systems Page: 488 7.4: Partial Fractions Page: 500 7.5: Systems of Inequalities Page: 508 7.6: Linear Programming Page: 518 Ch 7: Chapter Summary Page: 527 Ch 7: Review Exercises Page: 529 Ch 7: Chapter Test Page: 533 Ch 7: Proofs in Mathematics Page: 534 Ch 7: P.S. Problem Solving Page: 535 Ch 8: Matrices and Determinants Page: 537 8.1: Matrices and Systems of Equations Page: 538 8.2: Operations with Matrices Page: 551 8.3: The Inverse of a Square Matrix Page: 565 8.4: The Determinant of a Square Matrix Page: 574 8.5: Applications of Matrices and Determinants Page: 582 Ch 8: Chapter Summary Page: 594 Ch 8: Review Exercises Page: 596 Ch 8: Chapter Test Page: 601 Ch 8: Proofs in Mathematics Page: 602 Ch 8: P.S. Problem Solving Page: 603 Ch 9: Sequences, Series, and Probability Page: 605 9.1: Sequences and Series Page: 606 9.2: Arithmetic Sequences and Partial Sums Page: 616 9.3: Geometric Sequences and Series Page: 625 9.4: Mathematical Induction Page: 634 9.5: The Binomial Theorem Page: 644 9.6: Counting Principles Page: 652 9.7: Probability Page: 662 Ch 9: Chapter Summary Page: 674 Ch 9: Review Exercises Page: 676 Ch 9: Chapter Test Page: 679 Ch 9: Cumulative Test for Chapters 7–9 Page: 680 Ch 9: Proofs in Mathematics Page: 682 Ch 9: P.S. Problem Solving Page: 685 Ch 10: Topics in Analytic Geometry Page: 687 10.1: Lines Page: 688 10.2: Introduction to Conics: Parabolas Page: 695 10.3: Ellipses Page: 704 10.4: Hyperbolas Page: 713 10.5: Rotation of Conics Page: 723 10.6: Parametric Equations Page: 731 10.7: Polar Coordinates Page: 741 10.8: Graphs of Polar Equations Page: 747 10.9: Polar Equations of Conics Page: 755 Ch 10: Chapter Summary Page: 762 Ch 10: Review Exercises Page: 764 Ch 10: Chapter Test Page: 767 Ch 10: Proofs in Mathematics Page: 768 Ch 10: P.S. Problem Solving Page: 771 Ch 11: Analytic Geometry in Three Dimensions Page: 773 11.1: The Three-Dimensional Coordinate System Page: 774 11.2: Vectors in Space Page: 781 11.3: The Cross Product of Two Vectors Page: 788 11.4: Lines and Planes in Space Page: 795 Ch 11: Chapter Summary Page: 804 Ch 11: Review Exercises Page: 806 Ch 11: Chapter Test Page: 808 Ch 11: Proofs in Mathematics Page: 809 Ch 11: P.S. Problem Solving Page: 811 Ch 12: Limits and an Introduction to Calculus Page: 813 12.1: Introduction to Limits Page: 814 12.2: Techniques for Evaluating Limits Page: 825 12.3: The Tangent Line Problem Page: 835 12.4: Limits at Infinity and Limits of Sequences Page: 845 12.5: The Area Problem Page: 854 Ch 12: Chapter Summary Page: 862 Ch 12: Review Exercises Page: 864 Ch 12: Chapter Test Page: 867 Ch 12: Cumulative Test for Chapters 10–12 Page: 868 Ch 12: Proofs in Mathematics Page: 870 Ch 12: P.S. Problem Solving Page: 871 A.1: Real Numbers and Their Properties Page: A1 A.2: Exponents and Radicals Page: A13 A.3: Polynomials and Factoring Page: A25 A.4: Rational Expressions Page: A35 A.5: Solving Equations Page: A45 A.6: Linear Inequalities in One Variable Page: A58 A.7: Errors and the Algebra of Calculus Page: A67 Answers to Odd-Numbered Exercises and Tests Page: A75 Index Page: A183 BES-5 Page: BES-5 BES-6 Page: BES-6 BES-7 Page: BES-7

Description:

Larson's PRECALCULUS WITH LIMITS is known for delivering the same sound, consistently structured explanations and exercises of mathematical concepts as the market-leading PRECALCULUS, Ninth Edition, with a laser focus on preparing students for calculus. In LIMITS, the author includes a brief algebra review to the core precalculus topics along with coverage of analytic geometry in three dimensions and an introduction to concepts covered in calculus. With the third edition, Larson continues to revolutionize the way students learn material by incorporating more real-world applications, ongoing review, and innovative technology. How Do You See It? exercises give students practice applying the concepts, and new Summarize features, Checkpoint problems, and a Companion Website reinforce understanding of the skill sets to help students better prepare for tests.
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