Math 016. Algebra and Trigonometry
Syllabus for Instructors
Text:
PRECALCULUS. Mathematics for Calculus 5th Edition,
Stewart, Redlin and Watson, Brooks/Cole 2006
TOPICS TO BE COVERED IN THIS COURSE:
UNIT 1
Coordinate Geometry and Linear Functions
Definition of functions
Looking at functions on the Cartesian Plane
Slope (rate of change)
Intercepts and their meanings
Writing the equations of linear functions
Linear function models
Lines of “best fit” and their uses
Polynomial Functions
Definition
Domain and Range
Vertical Line Test
Slope, Increasing, Decreasing
Transformations
Even and Odd functions
Critical Points
End Behavior
Finding all zeros
Graphing
Factoring and Synthetic Division
Quadratic Formula
Complex Roots
Finding functions from the roots
Modeling
UNIT 2
Rational Functions
Definition
Domain and Range
Discontinuity and Asymptotes
Graphing
Transformations
Models (Inverse Variation)
Inverse Functions
Definition
One-to-One functions
Composite Functions
Recognizing
Graphing
Finding equations for
Determining range and domain
Exponential Functions
Definition
Graphing
Growth and Decay
Interest models
Regression Fitting
Logarithmic Functions
Definition
History of logarithms
Graphing
Applying Properties of Logarithms
As inverse of Exponential function
Models
UNIT 3
Trigonometric Functions
Sin (x), Cos (x), Tan (x)
As ratio of sides in a right triangle
Defining, finding, applying
As circular functions
Graphing on the unit circle
Graphing on the Coordinate Plane
Sinusoidal models
Trig Identities
Trig Equations
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Last modified August 23, 2006
