Math 1200 College Algebra

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MATH 1200 COLLEGE ALGEBRA
3 Credits
Offered in Lab or Lecture Format
Prerequisite required (MATH 0600 or Appropriate Placement-Test Score)
(Not recommended for those receiving a grade below “B” in Math 0600)
SYLLABUS
Revised 04/06/93
I.
SETS
A.
Define set, element, finite and infinite sets, empty set
B.
Relations between sets: subset, proper subset, equal sets
C.
Set operations: union, intersection and complement
D.
Set-builder notation
E.
The set of natural numbers
F.
The set of integers
G.
The set of rational numbers
H.
The set of real numbers
1.
Operations
2.
Commutative, associative, and distributive properties
3.
Identity and inverse elements
II.
LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE
A.
Review of techniques for solving linear equations and inequalities in one variable
B.
Review solving literal equations for a specified variable
C.
Absolute value
1. Definition and examples
2. Equations of the form   ax + b = c
Inequalities of the form   ax + b  < c
3.
Inequalities of the form   ax + b  > c
4.
D.
Word problems (mixture, distance, age, money, and interest)
III.
LINEAR EQUATIONS AND INEQUALITIES IN TWO AND THREE VARIABLES
A.
Definition and examples of linear equations
B.
Review of the rectangular coordinate system
C.
Graphing linear equations in two variables
1. Intercept method
2. The slope concept
3. The slope-intercept form
D.
Systems of linear equations in two variables
1. Classification of systems: Consistent, inconsistent, and dependent
2. Representation by graphs
3. Substitution
4. Elimination by addition
E.
Systems of linear equations in three variables
1. Classification: unique solution, no solution, infinite number of solutions
2. Substitution
3. Elimination by addition
F.
Solving graphically linear inequalities in two variables
G.
Solving graphically systems of linear inequalities in two variables

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