Prepare yourself for the Pretest by looking at the Chapters 1 - 6 Review Sheets
(If you need help on these topics look under the PreCalculus Resources tab. I have prepared some applets and videos for you).
(If you need help on these topics look under the PreCalculus Resources tab. I have prepared some applets and videos for you).
|
1st Semester
Chapter 1 Graphs 1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations 1.2 Intercepts; Symmetry; Graphing Key Equations 1.3 Solving Equations Using a Graphing Utility 1.4 Lines 1.5 Circles Chapter 2 Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Library of Functions; Piecewise-defined Functions 2.5 Graphing Techniques: Transformations 2.6 Mathematical Models: Building Functions Chapter 3 Linear and Quadratic Functions 3.1 Linear Functions, Their Properties, and Linear Models 3.2 Building Linear Models from Data; Direct Variation 3.3 Quadratic Functions and Their Properties 3.4 Building Quadratic Models from Verbal Descriptions and Data 3.5 Inequalities Involving Quadratic Functions Chapter 4 Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Properties of Rational Functions 4.3 The Graph of a Rational Function 4.4 Polynomial and Rational Inequalities 4.5 The Real Zeros of a Polynomial Function 4.6 Complex Zeros; Fundamental Theorem of Algebra Chapter 5 Exponential and Logarithmic Functions 5.1 Composite Functions 5.2 One-to-One Functions; Inverse Functions 5.3 Exponential Functions 5.4 Logarithmic Functions 5.5 Properties of Logarithms 5.6 Logarithmic and Exponential Equations 5.7 Financial Models 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models 5.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter 6 Trigonometric Functions 6.1 Angles and Their Measure 6.2 Trigonometric Functions: Unit Circle Approach 6.3 Properties of the Trigonometric Functions 6.4 Graphs of the Sine and Cosine Functions 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 6.6 Phase Shift; Building Sinusoidal Models Chapter 7 Analytic Trigonometry 7.1 The Inverse Sine, Cosine, and Tangent Functions 7.2 The Inverse Trigonometric Functions (Continued) 7.3 Trigonometric Identities 7.4 Sum and Difference Formulas 7.5 Double-angle and Half-angle Formulas 7.6 Product-to-Sum and Sum-to-Product Formulas 7.7 Trigonometric Equations (I) 7.8 Trigonometric Equations (II) |
2nd Semester
Chapter 8 Applications of Trigonometric Functions
8.1 Applications Involving Right Triangles 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 9.1 Polar Coordinates 9.2 Polar Equations and Graphs 9.3 The Complex Plane; DeMoivre’s Theorem 9.4 Vectors 9.5 The Dot Product 9.6 Vectors in Space 9.7 The Cross Product Chapter 10 Analytic Geometry 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 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 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 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 14.1 Finding Limits Using Tables and Graphs 14.2 Algebra Techniques for Finding Limits 14.3 One-side Limits; Continuous Functions 14.4 The Tangent Problem; The Derivative 14.5 The Area Problem; The Integral | ||||||||||||||||||||||||||||