4 Credit Course
Offered in Lecture Format
Prerequisite required  (Appropriate Placement-Test score)

SYLLABUS

I. FUNCTIONS AND GRAPHS

A. Functions
B. Rectangular coordinates
C. The graph of a function
D. Solving equations graphically

II. TRIGONOMETRIC FUNCTIONS

A. Angles
B. Definitions of the trigonometric functions
C. Values of the trigonometric functions
D. The right triangle
E. Applications of right triangles

NOTE: Use examples of the right triangle that are in a position other than the standard position.

III. TRIGONOMETRIC FUNCTIONS OF ANY ANGLE

A. Signs of the trigonometric functions
B. Trigonometric functions of any angle
C. Radian measure of angles
D. Geometric applications

IV. VECTORS AND OBLIQUE TRIANGLES

A. Introduction to vectors
B. Vector addition by components
C. Application of vectors
D. The law of sines
E. The law of cosines
F. Vector addition by parallelogram method

V. GRAPHS OF TRIGONOMETRIC FUNCTIONS

A. Graphs of y = a sin (bx+c)
B. Graphs of y = a cos (bx+c)
C. Graphs of y = tan(x)
*D. Composite trigonometric graphs

VI. SYSTEMS OF LINEAR EQUATIONS

A. Linear equations
B. Two linear equations in two unknowns
        1. Graphical solution
        2. Algebraic solution
        3. Cramer's rule
C. Three linear equations in three unknowns
        1. Algebraic solution
        2. Cramer's rule

VII. ALGEBRAIC FRACTIONS

A. Multiplication and division of fractions
B. Addition and subtraction of fractions
C. Equations involving fractions

VIII. QUADRATIC EQUATIONS

Solutions by:

A. Factoring
B. Completing the square
C.    Quadratic formula

IX. EXPONENTS AND RADICALS

A. Scientific notation
B. Integral exponents
C. Fractional exponents
D. Simplest radical form
E. Addition and subtraction of radicals
F. Multiplication and division of radicals

X. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

A. Definition of a logarithm
B. Exponential and logarithmic graphs
C. Logarithms to the base 10
D. Natural logarithms
E. Logarithms to bases other than 10
F. Exponential and logarithmic equations

*Optional

Click here to go back to Courses