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Dave Mason's STHS Precalculus Site |
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Precalculus
Text: Precalculus, Enhanced with Graphing Utilities, 4th ed. by Sullivan & Sullivan, © 2006, Pearson/Prentice Hall
Course Outline
A) Functions and Their Graphs
- Functions
- Graphs
- Properties of Functions
- Library of Functions
- Piecewise-functions
- Graphing techniques
- Mathematical Models
B) Polynomial and Rational Functions
- Quadratic Functions
- Polynomial Functions
- Rational Functions
- Real Zeros
- Complex Zeros
C) Exponential and Logarithmic Functions
- Composite Functions
- One-to-One Functions
- Exponential Functions
- Logarithmic functions
- Growth and Decay
D) Trigonometric Functions
- Unit Circle
- Graphs of Sine, Cosine, Tangent
- Graphs of inverse trig functions
- Sinusoidal Curve Fitting
- Trigonometric identities
- Trigonometric Equations
E) Applications of Trigonometric Functions
- Laws of Sines & Cosines
- Area of a Triangle
- Harmonic motion
F) Polar Coordinates
- Polar Coordinates
- Polar Equations & Graphs
- The Complex Plane; De Moivre's Theorem
G) Analytic Geometry
- Conics
- Parabola
- Ellipse
- Hyperbola
- Rotation of Axes
- Polar forms of Conics
- Parametric Equations
H) Calculus Preview
- Limits
- Continuity
- The Derivative
- The Integral