7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Two years of high school algebra, one year of geometry and trigonometry or Math. 8 and Math. D or equivalents with grades of "C" or better, or placement by matriculation assessment process

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

9b. Catalog Description:

Preparation for calculus, study of polynomials, rational functions, exponential and logarithmic functions, trigonometric functions, systems of linear equations, matrices, determinants, rectangular and polar coordinates, lines in the plane, conic sections, complex number systems, mathematical induction, binomial theorem, also vectors, sequences, and progressions (time permitting). The 5-unit option includes instruction on the use of math power tools and specific graphics utility required for the course will be indicated in the class schedule and purchased by the student. Recommended for students who have completed Math. 8 and wish to go on to Math. 30 and for students who have completed four years of high school math with less than a "B" average. (CAN MATH 16)

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

1. identify, develop, and analyze functions and their graphs
including extrema, intercepts, asymptotes;
2. develop and analyze functions including extrema, intercepts,
asymptotes which solve applied problems;
3. solve exponential, logarithmic, trigonometric, and polynomial
equations, including real and complex solutions for the polynomials;
4. sketch graphs of equations in the polar coordinate system, and
switch equations from polar to cartesian, and from cartesian to polar;
5. calculate sums, products, differences, and inverses of appropriate
matrices;
6. solve systems of equations, and solve related applied problems
using matrices and Cramer''s Rule;
7. construct, graph and analyze equations of conic sections, and
solve related applied problems;
8. utilize appropriately a "power tool" for the 5-unit option, the
power tool could be a computer or graphics calculator;
9. apply "Mathematical Induction" method of proof to appropriate
problems and use the Binomial Theorem;
10. calculate powers and roots of complex numbers using the
trigonometric form of complex numbers, vectors, time permitting;
11. calculate partial sums and sums of geometric and arithmetic
series, time permitting; and
12. demonstrate improved skill applying algebra and trigonometry when
formulating solutions to problems.

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

I. Algebra Review
A. Complex Fractions
B. Rational Expressions
C. Algebra of Complex Numbers
II. Functions, Inverse Functions & Their Graphs
A. Polynomials and Inequalities
B. Rational Functions and Inequalities
C. Exponential Functions
D. Logarithmic Functions
E. Trigonometric Functions and Harmonic Motion
III. Topics using Trigonometry, Polar Coordinate, Polar Graphs,
Trigonometric Form of Complex Numbers, Roots, Powers of Complex
Numbers
IV. Conic Sections
V. Algebra of Matrices, Row Reduction Methods for Solving
Systems of Equations: Cramer''s Rule
VI. Mathematical Induction and the Binomial Theorem
VII. Sums and Partial Sums of Geometric and Arithmetic Series, Time
Permitting
IX. Instruction on the Use of a Math Power Tool (indicated in the
class schedulef for the 5-unit option)

12. Typical Assignments: (Credit courses require two hours of independent work outside of class per unit of credit for each lecture hour. List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G