I. Course Objectives
Students will exhibit knowledge of:
• Real number arithmetic
• Solving linear equations
• Solving quadratic equations
• Exponents
• Polynomial arithmetic
• Factoring
• Introduction to graphing
• Solving applied problems
II. Topics to Be Studied
How will course objectives be met?
MANDATORY TOPICS OF NUMBER SYSTEMS
A. Definition of Number Systems
• Natural
• Whole
• Integer
• Rational
• Irrational
• Real
B. Operation (Integers and Reals)
• Addition
• Subtraction
• Multiplication
• Division
C. Order of Operations
should include grouping symbols , possibly powers and roots and problems
without grouping symbols.
D. Properties of Real Numbers
• Commutative for (+,x)
• Associative for (+,x)
• Identities for (+,x)
• Inverses for (+,x)
• Distributive
E. Absolute value of real numbers.
F. Solving linear equation. Should include:
• Variables, both side
• Grouping symbols at least parenthesis
• Simple equations involving fractions with numerical denominators
• Discussion of identities
• Discussion of no solution equations
• Application
• Formula manipulation
• Percent problems
G. Solve and sketch graph of solutions to simple linear
inequalities in one variable .
H. Slope of lines
I. Equation of lines  slope intercept and pointslope
form.
J. Sketch the graph of a linear equation in two variables .
• Discuss x = c where c is real.
• Discuss y = c where c is real.
K. Solve a system of linear equations in two variables.
• By graphical means
• By elimination method
• By substitution method
• Dependent, inconsistent systems
• Applications
L. Laws of exponents. Exponents that are integer in
nature.
• a^{x} a^{y} = a^{x} + y
• (a^{x})^{y} = a^{xy}
• a^{x}/a^{y} = a^{x  y} if a
0
• (ab)^{x} = a^{x}
b^{x}
M. Operations with polynomials  Terminology
a. Addition and subtraction of polynomials
b. Multiplication of polynomials
• monomial by monomial
• monomial by polynomial
• binomial by binomial
• binomial by trinomial
c. Division by polynomials
• Divide a polynomial by monomial
• Divide a polynomial by binomial
N. Factoring Algebraic Expressions
a. Find greatest monomial factor
b. Difference of squares
c. Trinomials  one or two variables
• leading coefficient of one
• leading coefficient other than one
d. Combinations of above
O. Express a square root in simplest radical form
P. Quadratic Equations  Real solutions only
• Definition of above
• Solving by factoring
ADDITIONAL TOPICS THAT MAY BE COVERED IF SO DESIRED
A. Compound inequalities  Solution and Graphs of
solutions
B. Rational Expression  Algebraic fraction
• Express simplest terms
• Multiplication and Division
• Addition and Subtraction
• Equations involving variables in denominator
• Applications
• Complex fractions
C. Roots and Radicals  Only square roots
• Evaluate square root of perfect square
• Express radicals simplest form
• Addition and subtraction of radicals
• Multiplication radicals
• Dividing radical expressions
• Solving equations involving radicals
D. a. Solving by quadratic equation
• Sketching graph of quadratic equation in 2 variables
by plotting
points.
• Solving Quadratics by completing square.
E. Application of Quadratic Equations
F. Complex Numbers
• Definition
• Addition and Subtraction
• Multiplication
• Division
G. Solutions of Quadratics with Complex Roots
H. Ratio and Proportion Problems
I. Sketching graph of linear inequality in two variables.
III. Special Projects to Be Included in Course
Research papers 
Reports 
Surveys 
Annotated bibliographies 
Other 

None
IV. Methods of Student Evaluation
Tests (how many? how often? what type?)
Quizzes
Oral Presentations
Written Papers
Laboratory Activities
Clinical Experiences
Tests: 37 objective exams
Quizzes: optional
Final: Comprehensive
No Calculators
Grading Scale:
92100% = A
83 91% = B
74 82% = C
70 73% = D
Be low 73% = F
V. Assessment of Outcomes
What measurements will be used to demonstrate that outcomes have been
reached? (Refers to class as a whole, not individual students.)
VI. Other Information
What additional information will help to clarify the course?
I. Prerequisites: Math 011 (Arithmetic), satisfactory
score on placement test
(A test), or consent of fulltime department member.
II. Nontransfer course  developmental.
III. Offered Fall/Spring/ Summer on both Parkersburg and Jackson County
Center Campuses, both day and evening classes.
III. Special Projects to Be Included in Course:
Research papers 
Reports 
Surveys 
Annotated bibliographies 
Other 

NONE