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GLN - Advanced Mathematical Concepts (Precalculus with Applications) c2006
Mathematics - Grade 11

 
  UNIT GLN.1. Unit 1: Relations, Functions, And Graphs
    CHAPTER GLN.1.1. Unit 1 Chapter 1: Linear Relations and Functions
      SECTION GLN.1.1.1. Unit 1 Ch 1 Sec 1: Relations and Functions (pp 5 - 12)
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      SECTION GLN.1.1.2. Unit 1 Ch 1 Sec 2: Composition of Functions (pp 13 - 19)
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      SECTION GLN.1.1.3. Unit 1 Ch 1 Sec 3: Graphing Linear Functions (pp 20 - 25)
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      SECTION GLN.1.1.3B. Unit 1 Ch 1 Sec 3B: Graphing Calculator Exploration: Analyzing Families of Linear Graphs (pp 26 - 26)
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      SECTION GLN.1.1.4. Unit 1 Ch 1 Sec 4: Writing Linear Equations (pp 27 - 30)
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      SECTION GLN.1.1.5. Unit 1 Ch 1 Sec 5: Writing Equations of Parallel and Perpendicular Lines (pp 32 - 37)
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      SECTION GLN.1.1.6. Unit 1 Ch 1 Sec 6: Modeling: Real-World Data with Linear Functions (pp 38 - 44)
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      SECTION GLN.1.1.7. Unit 1 Ch 1 Sec 7: Piecewise Functions (pp 45 - 51)
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      SECTION GLN.1.1.8. Unit 1 Ch 1 Sec 8: Graphing Linear Inequalities (pp 52 - 56)
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    CHAPTER GLN.1.2. Unit 1 Chapter 2: Systems of Linear Equations and Inequalities
      SECTION GLN.1.2.1. Unit 1 Ch 2 Sec 1: Solving Systems of Equations in Two Variables (pp 67 - 72)
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      SECTION GLN.1.2.2. Unit 1 Ch 2 Sec 2: Solving Systems of Equations in Three Variables (pp 73 - 77)
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      SECTION GLN.1.2.3. Unit 1 Ch 2 Sec 3: Modeling: Real-World Data with Matrices (pp 78 - 86)
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      SECTION GLN.1.2.4A. Unit 1 Ch 2 Sec 4A: Graphing Calculator Exploration: Transformation Matrices (pp 87 - 87)
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      SECTION GLN.1.2.4. Unit 1 Ch 2 Sec 4: Modeling: Motion with Matrices (pp 88 - 95)
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      SECTION GLN.1.2.5. Unit 1 Ch 2 Sec 5: Determinants and Multiplicative Inverses of Matrices (pp 98 - 105)
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      SECTION GLN.1.2.5B. Unit 1 Ch 2 Sec 5B: Graphing Calculator Exploration: Augmented Matrices and Reduced Row-Echelon Form (pp 106 - 106)
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      SECTION GLN.1.2.6. Unit 1 Ch 2 Sec 6: Solving Systems of Linear Inequalities (pp 107 - 111)
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      SECTION GLN.1.2.7. Unit 1 Ch 2 Sec 7: Linear Programming (pp 112 - 118)
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    CHAPTER GLN.1.3. Unit 1 Chapter 3: The Nature of Graphs
      SECTION GLN.1.3.1. Unit 1 Ch 3 Sec 1: Symmetry and Coordinate Geometry (pp 127 - 131)
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      SECTION GLN.1.3.2. Unit 1 Ch 3 Sec 2: Families of Graphs (pp 137 - 145)
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      SECTION GLN.1.3.3. Unit 1 Ch 3 Sec 3: Graphs of Nonlinear Inequalities (pp 146 - 150)
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      SECTION GLN.1.3.4. Unit 1 Ch 3 Sec 4: Inverse Functions and Relations (pp 152 - 158)
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      SECTION GLN.1.3.5. Unit 1 Ch 3 Sec 5: Continuity and End Behavior (pp 159 - 168)
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      SECTION GLN.1.3.5B. Unit 1 Ch 3 Sec 5B: Graphing Calculator Exploration: Gap Discontinuities (pp 169 - 170)
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      SECTION GLN.1.3.6. Unit 1 Ch 3 Sec 6: Critical Points and Extrema (pp 171 - 179)
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      SECTION GLN.1.3.7. Unit 1 Ch 3 Sec 7: Graphs of Rational Functions (pp 180 - 188)
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      SECTION GLN.1.3.8. Unit 1 Ch 3 Sec 8: Direct, Inverse, and Joint Variation (pp 189 - 196)
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    CHAPTER GLN.1.4. Unit 1 Chapter 4: Polynomials and Rational Functions
      SECTION GLN.1.4.1. Unit 1 Ch 4 Sec 1: Polynomial Functions (pp 205 - 212)
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      SECTION GLN.1.4.2. Unit 1 Ch 4 Sec 2: Quadratic Equations (pp 213 - 221)
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      SECTION GLN.1.4.3. Unit 1 Ch 4 Sec 3: The Remainder and Factor Theorems (pp 222 - 228)
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      SECTION GLN.1.4.4. Unit 1 Ch 4 Sec 4: The Rational Root Theorem (pp 229 - 234)
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      SECTION GLN.1.4.5. Unit 1 Ch 4 Sec 5: Locating Zeros of a Polynomial Function (pp 236 - 242)
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      SECTION GLN.1.4.6. Unit 1 Ch 4 Sec 6: Rational Equations and Partial Fractions (pp 243 - 250)
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      SECTION GLN.1.4.7. Unit 1 Ch 4 Sec 7: Radical Equations and Inequalities (pp 251 - 257)
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      SECTION GLN.1.4.8. Unit 1 Ch 4 Sec 8: Modeling: Real-World Data with Polynomial Functions (pp 258 - 264)
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      SECTION GLN.1.4.8B. Unit 1 Ch 4 Sec 8B: Graphing Calculator Exploration: Fitting a Polynomial Function to a Set of Points (pp 265 - 266)
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  UNIT GLN.2. Unit 2: Trigonometry
    CHAPTER GLN.2.5. Unit 2 Chapter 5: The Trigonometric Functions
      SECTION GLN.2.5.1. Unit 2 Ch 5 Sec 1: Angles and Degree Measure (pp 277 - 283)
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      SECTION GLN.2.5.2. Unit 2 Ch 5 Sec 2: Trigonometric Ratios in Right Triangles (pp 284 - 290)
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      SECTION GLN.2.5.3. Unit 2 Ch 5 Sec 3: Trigonometric Functions on the Unit Circle (pp 291 - 298)
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      SECTION GLN.2.5.4. Unit 2 Ch 5 Sec 4: Applying Trigonometric Functions (pp 299 - 303)
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      SECTION GLN.2.5.5. Unit 2 Ch 5 Sec 5: Solving Right Triangles (pp 305 - 312)
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      SECTION GLN.2.5.6. Unit 2 Ch 5 Sec 6: The Law of Sines (pp 313 - 319)
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      SECTION GLN.2.5.7. Unit 2 Ch 5 Sec 7: The Ambiguous Case for the Law of Sines (pp 320 - 326)
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      SECTION GLN.2.5.8. Unit 2 Ch 5 Sec 8: The Law of Cosines (pp 327 - 332)
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      SECTION GLN.2.5.8B. Unit 2 Ch 5 Sec 8B: Graphing Calculator Exploration: Solving Triangles (pp 333 - 334)
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    CHAPTER GLN.2.6. Unit 2 Chapter 6: Graphs of Trigonometric Functions
      SECTION GLN.2.6.1. Unit 2 Ch 6 Sec 1: Angles and Radian Measure (pp 343 - 351)
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      SECTION GLN.2.6.2. Unit 2 Ch 6 Sec 2: Linear and Angular Velocity (pp 352 - 358)
      SECTION GLN.2.6.3. Unit 2 Ch 6 Sec 3: Graphing Sine and Cosine Functions (pp 359 - 367)
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      SECTION GLN.2.6.4. Unit 2 Ch 6 Sec 4: Amplitude and Period of Sine and Cosine Functions (pp 368 - 376)
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      SECTION GLN.2.6.5. Unit 2 Ch 6 Sec 5: Translation of Sine and Cosine Functions (pp 378 - 386)
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      SECTION GLN.2.6.6. Unit 2 Ch 6 Sec 6: Modeling: Real-World Data with Sinusoidal Functions (pp 387 - 394)
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      SECTION GLN.2.6.7. Unit 2 Ch 6 Sec 7: Graphing Other Trigonometric Functions (pp 395 - 403)
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      SECTION GLN.2.6.7B. Unit 2 Ch 6 Sec 7B: Graphing Calculator Exploration: Sound Beats (pp 404 - 404)
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      SECTION GLN.2.6.8. Unit 2 Ch 6 Sec 8: Trigonometric Inverses and Their Graphs (pp 405 - 412)
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    CHAPTER GLN.2.7. Unit 2 Chapter 7: Trigonometric Identities and Equations
      SECTION GLN.2.7.1. Unit 2 Ch 7 Sec 1: Basic Trigonometric Identities (pp 421 - 430)
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      SECTION GLN.2.7.2. Unit 2 Ch 7 Sec 2: Verifying Trigonometric Identities (pp 431 - 436)
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      SECTION GLN.2.7.3. Unit 2 Ch 7 Sec 3: Sum and Difference Identities (pp 437 - 444)
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      SECTION GLN.2.7.3B. Unit 2 Ch 7 Sec 3B: Graphing Calculator Exploration: Reduction Identities (pp 446 - 447)
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      SECTION GLN.2.7.4. Unit 2 Ch 7 Sec 4: Double-Angle and Half-Angle Identities (pp 448 - 455)
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      SECTION GLN.2.7.5. Unit 2 Ch 7 Sec 5: Solving Trigonometric Equations (pp 456 - 462)
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      SECTION GLN.2.7.6. Unit 2 Ch 7 Sec 6: Normal Form of a Linear Equation (pp 463 - 469)
      SECTION GLN.2.7.7. Unit 2 Ch 7 Sec 7: Distance From a Point to a Line (pp 470 - 476)
    CHAPTER GLN.2.8. Unit 2 Chapter 8: Vectors and Parametric Equations
      SECTION GLN.2.8.1. Unit 2 Ch 8 Sec 1: Geometric Vectors (pp 485 - 492)
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      SECTION GLN.2.8.2. Unit 2 Ch 8 Sec 2: Algebraic Vectors (pp 493 - 499)
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      SECTION GLN.2.8.3. Unit 2 Ch 8 Sec 3: Vectors in Three-Dimensional Space (pp 500 - 504)
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      SECTION GLN.2.8.4. Unit 2 Ch 8 Sec 4: Perpendicular Vectors (pp 505 - 510)
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      SECTION GLN.2.8.4B. Unit 2 Ch 8 Sec 4B: Graphing Calculator Exploration: Finding Cross Products (pp 512 - 512)
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      SECTION GLN.2.8.5. Unit 2 Ch 8 Sec 5: Applications with Vectors (pp 513 - 519)
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      SECTION GLN.2.8.6. Unit 2 Ch 8 Sec 6: Vectors and Parametric Equations (pp 520 - 525)
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      SECTION GLN.2.8.6B. Unit 2 Ch 8 Sec 6B: Graphing Calculator Exploration: Modeling with Parametric Equations (pp 526 - 526)
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      SECTION GLN.2.8.7. Unit 2 Ch 8 Sec 7: Modeling: Motion Using Parametric Equations (pp 527 - 534)
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      SECTION GLN.2.8.8. Unit 2 Ch 8 Sec 8: Transformational Matrices in Three-Dimensional Space (pp 535 - 542)
 
  UNIT GLN.3. Unit 3: Advanced Functions And Graphing
    CHAPTER GLN.3.9. Unit 3 Chapter 9: Polar Coordinates and Complex Numbers
      SECTION GLN.3.9.1. Unit 3 Ch 9 Sec 1: Polar Coordinates (pp 553 - 560)
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      SECTION GLN.3.9.2. Unit 3 Ch 9 Sec 2: Graphs of Polar Equations (pp 561 - 567)
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      SECTION GLN.3.9.3. Unit 3 Ch 9 Sec 3: Polar and Rectangular Coordinates (pp 568 - 573)
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      SECTION GLN.3.9.4. Unit 3 Ch 9 Sec 4: Polar Form of a Linear Equation (pp 574 - 578)
      SECTION GLN.3.9.5. Unit 3 Ch 9 Sec 5: Simplifying Complex Numbers (pp 580 - 585)
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      SECTION GLN.3.9.6. Unit 3 Ch 9 Sec 6: The Complex Plane and Polar Form of Complex Numbers (pp 586 - 591)
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      SECTION GLN.3.9.6B. Unit 3 Ch 9 Sec 6B: Graphing Calculator Exploration: Geometry in the Complex Plane (pp 592 - 592)
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      SECTION GLN.3.9.7. Unit 3 Ch 9 Sec 7: Products and Quotients of Complex Numbers in Polar Form (pp 593 - 598)
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      SECTION GLN.3.9.8. Unit 3 Ch 9 Sec 8: Powers and Roots of Complex Numbers (pp 599 - 606)
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    CHAPTER GLN.3.10. Unit 3 Chapter 10: Conics
      SECTION GLN.3.10.1. Unit 3 Ch 10 Sec 1: Introduction to Analytic Geometry (pp 615 - 622)
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      SECTION GLN.3.10.2. Unit 3 Ch 10 Sec 2: Circles (pp 623 - 630)
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      SECTION GLN.3.10.3. Unit 3 Ch 10 Sec 3: Ellipses (pp 631 - 641)
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      SECTION GLN.3.10.4. Unit 3 Ch 10 Sec 4: Hyperboles (pp 642 - 652)
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      SECTION GLN.3.10.5. Unit 3 Ch 10 Sec 5: Parabolas (pp 653 - 660)
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      SECTION GLN.3.10.6. Unit 3 Ch 10 Sec 6: Rectangular and Parametric Forms of Conic Sections (pp 662 - 669)
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      SECTION GLN.3.10.7. Unit 3 Ch 10 Sec 7: Transformations of Conics (pp 670 - 677)
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      SECTION GLN.3.10.8. Unit 3 Ch 10 Sec 8: Systems of Second-Degree Equations and Inequalities (pp 678 - 684)
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      SECTION GLN.3.10.8B. Unit 3 Ch 10 Sec 8B: Graphing Calculator Exploration: Shading Areas on a Graph (pp 685 - 686)
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    CHAPTER GLN.3.11. Unit 3 Chapter 11: Exponential and Logarithmic Functions
      SECTION GLN.3.11.1. Unit 3 Ch 11 Sec 1: Real Exponents (pp 695 - 703)
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      SECTION GLN.3.11.2. Unit 3 Ch 11 Sec 2: Exponential Functions (pp 704 - 711)
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      SECTION GLN.3.11.3. Unit 3 Ch 11 Sec 3: The Number e (pp 712 - 716)
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      SECTION GLN.3.11.4. Unit 3 Ch 11 Sec 4: Logarithmic Functions (pp 718 - 725)
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      SECTION GLN.3.11.5. Unit 3 Ch 11 Sec 5: Common Logarithms (pp 726 - 732)
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      SECTION GLN.3.11.6. Unit 3 Ch 11 Sec 6: Natural Logarithms (pp 733 - 737)
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      SECTION GLN.3.11.6B. Unit 3 Ch 11 Sec 6B: Graphing Calculator Exploration: Natural Logarithms and Area (pp 738 - 739)
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      SECTION GLN.3.11.7. Unit 3 Ch 11 Sec 7: Modeling: Real-World Data with Exponential and Logarithmic Functions (pp 740 - 748)
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  UNIT GLN.4. Unit 4: Discrete Mathematics
    CHAPTER GLN.4.12. Unit 4 Chapter 12: Sequences and Series
      SECTION GLN.4.12.1. Unit 4 Ch 12 Sec 1: Arithmetic Sequences and Series (pp 759 - 765)
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      SECTION GLN.4.12.2. Unit 4 Ch 12 Sec 2: Geometric Sequences and Series (pp 766 - 773)
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      SECTION GLN.4.12.3. Unit 4 Ch 12 Sec 3: Infinite Sequences and Series (pp 774 - 73)
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      SECTION GLN.4.12.3B. Unit 4 Ch 12 Sec 3B: Graphing Calculator Exploration: Continued Fractions (pp 784 - 785)
      SECTION GLN.4.12.4. Unit 4 Ch 12 Sec 4: Convergent and Divergent Series (pp 786 - 792)
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      SECTION GLN.4.12.5. Unit 4 Ch 12 Sec 5: Sigma Notation and the nth Term (pp 794 - 800)
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      SECTION GLN.4.12.6. Unit 4 Ch 12 Sec 6: The Binomial Theorem (pp 801 - 805)
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      SECTION GLN.4.12.7. Unit 4 Ch 12 Sec 7: Special Sequences and Series (pp 806 - 814)
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      SECTION GLN.4.12.8. Unit 4 Ch 12 Sec 8: Sequences and Iteration (pp 815 - 821)
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      SECTION GLN.4.12.9. Unit 4 Ch 12 Sec 9: Mathematical Induction (pp 822 - 828)
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    CHAPTER GLN.4.13. Unit 4 Chapter 13: Combinatorics and Probability
      SECTION GLN.4.13.1. Unit 4 Ch 13 Sec 1: Permutations and Combinations (pp 837 - 845)
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      SECTION GLN.4.13.2. Unit 4 Ch 13 Sec 2: Permutations with Repetitious and Circular Permutations (pp 846 - 851)
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      SECTION GLN.4.13.3. Unit 4 Ch 13 Sec 3: Probability and Odds (pp 852 - 857)
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      SECTION GLN.4.13.4. Unit 4 Ch 13 Sec 4: Probabilities of Compound Events (pp 859 - 867)
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      SECTION GLN.4.13.5. Unit 4 Ch 13 Sec 5: Conditional Probability (pp 868 - 874)
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      SECTION GLN.4.13.6. Unit 4 Ch 13 Sec 6: The Binomial Theorem and Probability (pp 875 - 880)
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    CHAPTER GLN.4.14. Unit 4 Chapter 14: Statistics and Data Analysis
      SECTION GLN.4.14.1. Unit 4 Ch 14 Sec 1: The Frequency Distribution (pp 889 - 896)
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      SECTION GLN.4.14.2. Unit 4 Ch 14 Sec 2: Measures of Central Tendency (pp 897 - 907)
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      SECTION GLN.4.14.3. Unit 4 Ch 14 Sec 3: Measures of Variability (pp 908 - 916)
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      SECTION GLN.4.14.4. Unit 4 Ch 14 Sec 4: The Normal Distribution (pp 918 - 925)
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      SECTION GLN.4.14.4B. Unit 4 Ch 14 Sec 4B: Graphing Calculator Exploration: The Standard Normal Curve (pp 926 - 926)
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      SECTION GLN.4.14.5. Unit 4 Ch 14 Sec 5: Sample Sets of Data (pp 927 - 932)
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  UNIT GLN.5. Unit 5: Calculus
    CHAPTER GLN.5.15. Unit 5 Chapter 15: Introduction to Calculus
      SECTION GLN.5.15.1. Unit 5 Ch 15 Sec 1: Limits (pp 941 - 948)
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      SECTION GLN.5.15.2A. Unit 5 Ch 15 Sec 2A: Graphing Calculator Exploration: The Slope of a Curve (pp 949 - 950)
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      SECTION GLN.5.15.2. Unit 5 Ch 15 Sec 2: Derivatives and Antiderivatives (pp 951 - 959)
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      SECTION GLN.5.15.3. Unit 5 Ch 15 Sec 3: Area Under a Curve (pp 961 - 969)
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      SECTION GLN.5.15.4. Unit 5 Ch 15 Sec 4: The Fundamental Theorem of Calculus (pp 970 - 976)
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