# Math 170 - PreCalculus

 Chapter 1: Graphs Section Topic 1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations 1.2 Intercepts; Symmetry Graphing Key Equations1.2.51 Intercepts and Symmetry 1.3 Solving Equations Using a Graphing Utility 1.4 Lines1.4.66 Lines1.4.124 Lines 1.5 Circles1.5.26 Circles Chapter 2: Functions and Their Graphs Section Topic 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions2.3.58 Properties of Functions2.3.76 Properties of Functions 2.4 Library of Functions; Piecewise-defined Functions2.4.56 Piecewise Function 2.5 Graphing Techniques: Transformations 2.6 Mathematical Models: Building Functions2.6.8 Building Functions2.6.22 Building Functions Chapter 3: Linear and Quadratic Functions Section Topic 3.1 Linear Functions and Their Properties 3.2 Linear Models: Building Linear Functions from Data 3.3 Quadratic Functions and Their Properties3.3.92 Quadratic Functions and Their Properties 3.4 Build Quadratic Models from Verbal Descriptions and from Data3.4.6 Build Quadratic Models 3.5 Inequalities Involving Quadratic Functions Chapter 4: Polynomial and Rational Functions Section Topic 4.1 Polynomial Functions and Models4.1.78 Polynomial Function4.1.90 Polynomial Function 4.2 The Real Zeros of a Polynomial Function4.2.76 Intermediate Value Theorem 4.3 Complex Zeros; Fundamental Theorem of Algebra4.3.20 Function from Zeros4.3.28 Zeros from Function 4.4 Properties of Rational Functions4.4.22+24 Domain of a Rational Function4.4.38 Graph of a Rational Function4.4.52+54 Asymptotes of a Rational Function 4.5 The Graph of a Rational Function4.5.52 Rational Function Model4.5.56 Rational Function Model 4.6 Polynomial and Rational Inequalities4.6.36 Rational Inequality4.6.44 Rational Inequality Chapter 5: Exponential and Logarithmic Functions Section Topic 5.1 Composite Functions5.1.36 Composite Functions Domain & Formula5.1.44 Composite Functions Domain & Formula5.1.70 Composite Function Model 5.2 One-to-One Functions; Inverse Functions5.2.56 Inverse Function 5.3 Exponential Functions 5.4 Logarithmic Functions5.4.76 Logartihmic Function with Transformations5.4.126 Logarithmic Function Model 5.5 Properties of Logarithms 5.6 Logarithmic and Exponential Equations5.6.54 Solve Exponential Equation5.6.100 Exponential Function Model 5.7 Financial Models 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models5.8.18 Exponential Decay Model5.8.24 Logistic Growth 5.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter 6: Trigonometric Functions Section Topic 6.1 Angles and Their Measure6.1.82+84 Angles and Arc Length Formula6.1.102 Distance Between Cities 6.2 Trigonometric Functions: Unit Circle Approach6.2.128 Trig Function Model 6.3 Properties of Trigonometric Functions6.3.56 Values of Six Trig Functions6.3.58 Values of Six Trig Functions 6.4 Graphs of the Sine and Cosine Functions6.4.58 Graph of Sine Function 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions6.5.40 Graph of Secant Function 6.6 Phase Shift; Sinusoidal Curve Fitting6.6.14 Graph of Sinusoidal Function with Transformations Chapter 7: Analytic Trigonometry Section Topic 7.1 The Inverse Sine, Cosine, and Tangent Functions7.1.68 Inverse Trig Function Equation 7.2 The Inverse Trigonometric Functions (Continued)7.2.26+34 Composition of Trig and Inverse Trig Functions 7.3 Trigonometric Equations7.3.34 Trigonometric Equation7.3.68 Trigonometric Equation7.3.80 Trigonometric Equation7.3.86 Trigonometric Equation 7.4 Trigonometric Identities7.4.48 Trigonometric Identities7.4.84 Trigonometric Identities 7.5 Sum and Difference Formulas7.5.62 Sum and Difference Formulas7.5.78 Sum and Difference Formulas 7.6 Double-angle and Half-angle Formulas7.6.14 Double-angle and Half-angle Formulas 7.7 Product-to-Sum and Sum-to-Product Formulas Chapter 8: Applications of Trigonometric Functions Section Topic 8.1 Right Triangle Trigonometry; Applications8.1.64 Right Triangle Trigonometry; Applications8.1.74 Right Triangle Trigonometry; Applications 8.2 The Law of Sines 8.3 The Law of Cosines 8.4 Area of a Triangle 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter 9: Polar Coordinates; Vectors Section Topic 9.1 Polar Coordinates9.1.38 Polar Coordinates9.1.68 Polar Coordinates9.1.82 Polar Coordinates 9.2 Polar Equations and Graphs9.2.50 Polar Equations and Graphs9.2.54 Polar Equations and Graphs 9.3 The Complex Plane; De Moivre’s Theorem 9.4 Vectors 9.5 The Dot Product 9.6 Vectors in Space 9.7 The Cross Product Chapter 10: Analytic Geometry Section Topic 10.1 Conics 10.2 The Parabola 10.3 The Ellipse 10.4 The Hyperbola 10.5 Rotation of Axes; General Form of a Conic 10.6 Polar Equations of Conics 10.7 Plane Curves and Parametric Equations Chapter 11: Systems of Equations and Inequalities Section Topic 11.1 Systems of Linear Equations: Substitution and Elimination 11.2 Systems of Linear Equations: Matrices 11.3 Systems of Linear Equations: Determinants 11.4 Matrix Algebra 11.5 Partial Fraction Decomposition 11.6 Systems of Nonlinear Equations 11.7 Systems of Inequalities 11.8 Linear Programming Chapter 12: Sequences; Induction; the Binomial Theorem Section Topic 12.1 Sequences 12.2 Arithmetic Sequences 12.3 Geometric Sequences; Geometric Series 12.4 Mathematical Induction 12.5 The Binomial Theorem Chapter 13: Counting and Probability Section Topic 13.1 Counting 13.2 Permutations and Combinations 13.3 Probability Chapter 14: A Preview of Calculus: The Limit, Derivative, and Integral of a Function Section Topic 14.1 Finding Limits Using Tables and Graphs 14.2 Algebra Techniques for Finding Limits 14.3 One-Sided Limits; Continuous Functions 14.4 The Tangent Problem; The Derivative 14.5 The Area Problem; The Integral

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