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PRE-CALCULUS
Jun 25 – Aug 13, every Wed & Fri @ 6:00-7:00pm ET
$225 for 15 hours or $19 per session
Lesson 1: Functions (2 hours)
• What is a Function?
• Graphs of Functions
• Getting Info from the Graph
• Avg Rate of Change
• Transformations of Functions
• Arithmetic Sequences
• Combining Functions
Lesson 2: Polynomial and Rational Functions (2 hours)
• Graphs of Polynomial Func
• Zeros of Polynomial Func
• Writing Polynomial Func from its Zeros
• Binomial Theorem
• Polynomial Inequalities
• Graphs of Rational Func
• Complex Fractions & Rational Equations
• Rational Ineq
Lesson 3: Exponential and Logarithmic Functions (2 hours)
• Rewriting Exponentials as Like Terms
• Exponential Functions
• Exponential Functions with Base e
• Introduction to Logarithms
• The Natural Logarithm
• Logarithmic Functions
• Properties of Logarithms
• Solve Exponential & Logarithmic Equations
• Modeling with Exponentials & Logarithms
• Geometric Sequences
Lesson 4: Conic Sections (3 hours)
• Intro to Conic Sections
• Parabolas
• Circles
• Ellipses
• Hyperbolas
• Recognizing Conic Sections from General Form
Lesson 5: Trigonometric Functions (3 hours)
• Angle and Radian Measures
• Right Triangle Trigonometry
• The Unit Circle
• Symmetry in the Unit Circle
• The Sine Function
• The Graph of Sine
• The Cosine Function
• Sine and Cosine Waves
• Translations of Sine and Cosine Functions
• Other Transformations with Sine and Cosine Functions
• The Tangent Function
• The Reciprocal Functions and Their Graphs
• Graphs of Composite Trigonometric Functions
• Inverse Trigonometric Functions
• Modeling Using Trigonometry
Lesson 6: Analytic Trigonometry (3 hours)
• Fundamental Identities
• Proofs with Identities
• Sum and Difference Identities
• Multiple Angle Identities
• Power Reducing Identities
• Product--Sum Formulas
• Solving Trigonometric Equations
• Law of Sines
• Law of Cosines
• Area of Triangles
• Solving Triangles with Bearings
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