Table Of ContentFES-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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