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

Completion of Math. D with a grade 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:

Study of algebra topics beyond Math D; including functions, graphs, logarithms, systems of equations, matrices, analytic geometry sequences, mathematical induction, and introduction to counting techniques. (CAN MATH 10)

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.)

Through homework assignments, quizzes, exams, projects and classroom discussions, the student will:
1. solve equations, including linear, quadratic, polynomial, rational, logarithmic, exponential, absolute value and equations with radicals;
2. simplify algebraic expressions using the order of operations, properties of exponents/radicals, and mechanics of fractions;
3. solve word problems leading to equations from outcome Number 1;
4. graph the solution to a system of linear or non-linear inequalities;
5. graph functions and equations and have the ability to discuss and find intercepts, vertices, and asymptotes (examples of functions: linear, quadratic, polynomial, rational, logarithmic, exponential, radical);
6. solve systems of equations using substitution, elimination
Cramer’s Rule or matrices;
7. identify and graph conic sections, labeling the center, vertices, foci, directrices, and asymptotes when applicable;
8. perform binomial expansion using Pascal's Triangle or combinatorics; and
9.identify terms and find finite or infinite sums of arithmetic and geometric sequences and series.

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. Basic Concepts of Algebra
A. Exponents and Radicals
B. Polynomials, Factoring, Special Products
C. Fractional Expressions
D. Linear and Quadratic Equations
E. Linear, Non-Linear and Absolute Value Inequalities
F. Problem Solving/Word Problems
G. Complex Numbers
II. Functions and Graphs
A. Definition of Function and Evaluation of Functions
B. Graphing of Functions
1. Zeros, or Roots, and Intercepts of Functions
2. Asymptotes of Functions
3. Shifting and Reflection of Functions
4. Symmetry
C. Combination and Composition of Functions
D. Inverse Function
E. Conic Sections
III. Logarithms, Exponential and Logarithmic Functions
A. Review of Exponents and Logarithms
B. Solving Equations with Exponentials and Logarithms
C. Graphing Exponential and Logarithmic Functions
D. Word Problems with Logarithmic and Exponential Equations
IV. Systems of Equations and Matrices
A. Solving Systems of Equations
1. Substitution
2. Elimination
B. Introduction to Matrices
1. Algebra of matrices
2. Elementary row operations
3. Inverse of a square matrix
C. Matrices as a Method of Solving a System of Equations
1. Elementary row operations
2. Inverse matrices
3. Cramer's Rule
V. Binomial Expansion and Combinatorics
A. Expand Binomial
1. Pascal's triangle
2. Combinations
VI. Sequences and Mathematical Induction
A. Arithmetic Sequences
1. Terms
2. Sums
B. Geometric Sequences
1. Terms
2. Sums (finite and infinite)
C. Introduction to Mathematical Induction

12. Typical Assignments: (List types of assignments, including library assignments.)

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

1. Read selected topics throughout the course from the textbook, such as how to find the zeros of rational functions using algebraic and graphical methods.
2. Read supplementary handouts on topics such as the applications of and patterns found in Pascal's Triangle and prepare a presentation about one pattern to the class.

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

1. Complete homework problems from the textbook on topics throughout the course. Such problems may involve computation, sketching graphs and diagrams, solving equations, applying mathematical concepts, or explaining mathematical ideas.
2. Work in groups to solve application problems in class. For example, using matrices to solve systems of equations that arise from mixture problems.

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

SECTION D

SECTION E

SECTION F

SECTION G