# 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 , 5-x

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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