SYLLABUS FOR MATH 140
SURVEY OF MATHEMATICS
Bladen Community College
Department of Mathematics
INSTRUCTOR: Robert D. Herring
OFFICE: Building
1, Room 119
PHONE: 910.879.5535
E‑MAIL: rherring@bladencc.edu
TEXTBOOK: Mathematical
Ideas, Miller, Heeren and
Hornsby. 2008 11th Edition
COURSE
DESCRIPTION:
This course provides an introduction in a
non-technical setting to selected topics in mathematics. Topics include, but
are not limited to, sets, logic, probability, statistics, matrices,
mathematical systems, geometry, topology, mathematics of finance, and modeling.
Upon completion, students should be able to understand a variety of
mathematical applications, think logically, and be able to work collaboratively
and independently. This course has been
approved to satisfy the Comprehensive Articulation Agreement general education
core requirement in natural sciences/mathematics.
COURSE
OUTLINE:
Chapter Topic
Six The Real Numbers and Their Representations
Seven The
Basic Concepts of Algebra
Eight Functions,
Graphs, and Systems of Equations and Inequalities
Nine Geometry
Eleven Counting
Methods
Twelve Probability
Thirteen Statistics
Fourteen Consumer
Mathematics
COURSE
COMPETENCIES:
For satisfactory completion of Survey
of Mathematics, the students must demonstrate by written examination that they
can do the following. (Order of
competence does not imply the order of presentation.)
1)
Determine whether a second set is a subset
of a given set, give the number of subsets, and list all subsets.
2)
Perform set operations.
3)
Construct Venn diagrams and use the diagrams
to solve counting problems.
4)
Perform the arithmetic operations with
signed numbers and algebraic expressions.
5)
Solve problems of ratio, proportion, and
variation.
6)
Solve first-degree equations in one
variable; solve literal equations, particularly formulas of perimeter, area,
and volume.
7)
Perform algebraic operations with
expressions involving integral exponents.
8)
Find special algebraic products and factor
common algebraic expressions.
9)
Translate word problems into mathematical
symbols and solve the resulting equations.
10)
Apply his knowledge of algebra to the
solution of practical problems.
11)
Factor Polynomials.
12)
Solve linear and quadratic equations.
13)
Solve equations linear or quadratic in form.
14)
Solve word problems which can be modeled by
a linear or quadratic equation.
15)
Solve inequalities.
16)
Determine whether a given relation is a
function.
17)
Find the domain and range of a function.
18)
Graph algebraic and absolute value functions
on the Cartesian Coordinate System.
19)
Know properties of triangles.
20)
Know properties of special quadrilaterals:
parallelogram, rectangle, square, rhombus trapezoid.
21)
State and apply relationships that exist in
right triangles.
22)
Apply formulas to area and perimeter of
plane figures.
23)
Compute the probability for simple and
compound events.
24)
Compute odds and mathematical expectations.
25)
Determine whether two events are dependent
or independent and whether they are mutually exclusive.
26)
Compute measures of central tendency.
27)
Compute variance and standard deviation.
28)
Compute percentile and quartile scores.
29)
Organize statistical data.
30)
Use the normal distribution table to solve
probability problems.
COURSE AVERAGE: 5% quizzes and assignments
80% major test average
10% comprehensive final examination
5% attendance and participation
A student who has two or fewer absences may
drop the lowest of the major test grades in determining the major test
average. A student, who has more than
two absences, may not drop any major test grades. No distinction is made between excused and
unexcused absences. (Being tardy is an
unexcused absence.)
COURSE EVALUATION: 90
≤ A < 100
80 ≤ B < 90
70 ≤ C < 80
60 ≤ D < 70
0 ≤ F < 60
COURSE MATERIALS:1) Pencil and paper
2) Graph paper
3) Graphing Calculator (TI/83)
4) Ruler
5) Desire to learn