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Syllabus for Essentials of Algebra and Trigonometry
Math 9: Essentials of Algebra and Trigonometry
Prerequisites: One year each of high school algebra and geometry
This course is designed to prepare students , majoring in bioscience, economics, and social science for courses requiring basic algebra and right angle trigonometry (e.g. Physics 2 and 5A). Course coverage includes a review of high school algebra up to and including the quadratic formula with an introduction to right angle trigonometry. Manipulative skills are emphasized.
OUTLINE:
I. Basic Algebra
3 Weeks
a. Exponents
b. Radicals
c. Factoring
d. Operations
e. Simplifying algebraic fractions
II. Equations
5
Weeks
a. Linear
b. Graphs of linear equations
c. Linear systems (not larger than 3 x 3)
d. Quadratic equations
Factoring, completing the square , quadratic formula
e. Equations of quadratic form
3x + 5 = 1/x , x^{4}  2x^{2} = 3
III. Exponential and logarithmic functions
1
Week
a. Graphs of exponential functions
2^{x} , (1/3) x , 5x
b. Graphs of logarithmic functions
log_{2}x, log x, ln x
IV. Basic trigonometry
5
Weeks
a. Angular measurement using degrees
b. Definition of trigonometric ratios
c. Solution of triangles
Right triangles, law of sines
law of cosines
d. Elementary identities
sin^{2} è + cos^{2} è = 1, 1 + tan^{2} è = sec^{2} è
e. Two dimensional vectors and resolution of vectors
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