Draft 1 10/4/08
MGF 1106 Liberal Arts Mathematics I
The purpose of this course is to demonstrate the utility and beauty of mathematics with
an emphasis on critical thinking, the communication of mathematical ideas, and
applications to real life. The course is intended for, but not limited to, students who need
to satisfy a general education mathematics requirement and are in programs which do not
require calculus. THIS COURSE IS NOT A PREREQUISITE FOR MGF 1107. THIS
COURSE DOES NOT MEET THE REQUIREMENTS OF 6A-5.066(3)1, FLORIDA
ADMINISTRATIVE RULES, FOR EDUCATION MAJORS. IT WILL NOT ENABLE
THE TEACHER TO SUPPORT THE INSTRUCTION OF GEOMETRY AND
MEASUREMENT AS LISTED BY THE SUNSHINE STATE STANDARDS.
PREREQUISITE: MAT 1033 Intermediate Algebra (with a minimum grade of C?)
Topics
I. Sets
A. Symbolic notation and representations
B. Subsets, union, intersection, complement
C. Number of possible subsets of a set
D. Venn diagrams
E. Cardinality
F. DeMorgan’s Laws
II. Logical Reasoning
A. Symbolic forms of arguments
B. Quantified statements
C. Compound statements involving negation, conjunction, disjunction, and
conditional and biconditional statements
D. Validity of arguments through truth tables and Euler circles
E. Common patterns of arguments
F. Valid vs. sound arguments
G. Equivalent statements including the use of contrapositives and DeMorgan’s Laws
III. Probability and Counting
A. Fundamental counting principle
B. Permutations and combinations
C. Odds
D. Expected value
E. Events involving not, and, or and conditional probability
F. Mutually exclusive and independent events
IV. Elementary Geometry and Measurement
A. Units of measure and unit conversions
B. Characteristics of two-dimensional and three-dimensional figures
C. Problems involving perimeter, area and volume
