II. CATALOG DESCRIPTION:
Introduction to basic concepts of algebra. Equivalent to first -year high school
algebra. Topics include language of algebra, order of operations, signed
numbers ,
linear equations , simultaneous equations , factoring, solving quadratic equations
by factoring, application of algebra to selected verbal problems. Does not
fulfill
requirements for any degree of certificate. Graded on an SA-SB-SC-R-U-W basis.
A-E-G / 4 cr. hrs.
III. COURSE GOALS:
A. Reinforce basic algebra skills.
B. Introduce elementary problem-solving techniques.
C. Introduce the concept of a line and the technique of graphing in two
dimensions.
IV. COURSE OBJECTIVES:
Upon successful completion of this course, students will be able to:
A. Demonstrate an understanding of the use of variables as representatives of
real numbers, the use of the order of ope rations to evaluate algebraic
expressions, and the meaning of terms, expressions, and factors;
B. Demonstrate an understanding of the arithmetic properties of real numbers
(associative, commutative, identities, inverses, and distributive properties )
and be able to apply these properties in manipulating algebraic equations;
C. Solve linear equations and inequalities in one variable and apply these
techniques to simple models;
D. Solve systems of linear equations in two variables using the techniques of
graphing lines, algebraic substitution method , and the algebraic
elimination method, and apply these techniques to simple models;
moreover, the methods of graphing a line should be done using table of
values, intercepts , and incorporating the slope of the line ;
E. Perform polynomial addition, subtraction, multiplication, division by a
monomial , and factoring; polynomial equations that can be factored,
should be solved and these techniques applied to simple models;
F. Simplify and perform basic operations on rational expressions; moreover,
be able to solve rational equations using factoring techniques and apply
these techniques to simple models;
G. Demonstrate an understanding of radicals and simplify expressions
involving radicals.
V. Topics Outline with Timeline
| Topics |
Approximate Time
(Including
Examinations) |
A. The Fundamental
Operations of Real Numbers
1. Mathematical symbols and notation
2. Sets of numbers
3. Basic properties (axioms) of real numbers
4. Operations of signed numbers
5. Graphing of signed numbers
6. Order of operations
7. Absolute value |
1 ½ weeks |
| |
B. Linear Equations and
Inequalities
1. Solving linear equations
2. Solving verbal problems/applications
3. Solving simple linear inequalities |
2 weeks |
| |
C. Graphing and Systems
of Linear Equations
1. The Cartesian coordinate system
2. Graphs of linear equations
3. Definition of slope, parallel lines
4. Solving linear systems by graphing
5. Solving linear systems by addition/substitution
6. Applications involving linear systems |
2 ½ weeks |
| |
D. Operations with
Polynomials
1. Naming and evaluation of polynomials
2. Addition and subtraction of polynomials
3. Properties of exponents
4. Multiplication of polynomials
5. FOIL method and special products
6. Division of polynomials ( binomials and monomials ) |
2 ½ weeks |
| |
E. Factoring Polynomials
and Solving Quadratic Equations
By Factoring
1. Common factors
2. Difference of two squares and perfect squares
3. Factor trinomials by inspection of coefficients
4. Solving quadratic equations by factoring |
2 ½ weeks |
| |
F. Algebraic Fractions
1. Multiplication and division
2. Addition and subtraction
3. Solving equations containing fractions
4. Solve applied problems (which translate into proportions ) |
2 ½ weeks |
| |
G. Common Roots and
Radicals
1. Definition
2. Properties
3. Simplification and rationalization of denominators |
1 week |
| |
VI. Evaluation of Student Performance:
To be determined by the instructor
VII. Programs that require this course:
None
VIII. Courses that require this course as a prerequisite:
BIO101, BIO103, BIO105, BIO109, BIO111, BIO130-132, BIO137, BIO141,
CHE100, CHE120, CHE122, CST112, ESC101, ESC102, MET101, MET102,
AST101, EAST102, ESC124, ESC202, MAT107, MAT108, MAT101, MAT102,
MAT103, MAT111, MAT115H, MAT112, AR111, MAR115, MAR102,
OPD101, PHY110, SCI127H
IX. Supporting Information:
Mathematics tutoring services, as well as video and computer aids, are provided
for all students through the Math Learning Center (Ammerman Campus,
Riverhead 235), the Center for Academic Excellence (Grant Campus, Health,
Sports and Education Center 129), and the Academic Skills Center (Eastern
Campus, Orient 213).
