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Mathematics
Examination and Placement Policy
Placement into
mathematics courses at FLC is based on standardized test scores
and high school records. Students without scores or transfer credit
should take a placement exam during their initial advising session.
This will be administered by the New Student Advising and Registration
Office. Students who believe their placement is inappropriate are
encouraged to take a challenge exam, which will be given the week
before classes start and again during the first week of class.
A prerequisite
course must be completed with a grade of C- or better, or the student
must have the consent of the instructor to take the course. Students
will not receive credit for a mathematics course that is a prerequisite
for a previously completed course.
Most mathematics
courses require the student to have a graphing calculator. For advice
on which model to buy, contact the course instructor or the Chair
of the Department. At the present, the TI-83 is commonly used.
Math 110Q College
Algebra (4-0) 4
This course covers the
topics in algebra necessary for students who plan to enroll in Math
210Q Calculus for Business and the Biological Sciences or Math 121Q
Precalculus. The use of technology to aid in problem solving is
an integral part of the course. Specific topics covered are simplification
of algebraic expressions, complex numbers, solutions of equations
(including systems of linear equations) and inequalities, and functions,
including polynomial, root, rational, exponential, and logarithmic.
Fall, winter, and summer terms.
Prerequisites:
Placement into Math 110Q or completion of TRS 92 with a grade of
C- or better.
Math 121Q Pre-Calculus
(4-0) 4
This course covers the
topics in algebra and trigonometry necessary for students who plan
on enrolling in Math 221Q Calculus I. Technological methods, in
addition to symbolic methods, are essential in solving problems.
The course will include an in-depth analysis of the topics covered
in Math 110Q, with additional emphasis on symbolic methods. In addition,
other topics include trigonometric functions, vectors, polar coordinates,
parametric equations, and the conic sections. The concept of function,
with its multiple representations, will be emphasized. Fall, winter,
and summer.
Prerequisites:
Placement into Math 121Q or completion of Math 110Q with a grade
of C- or better.
Math 130Q Mathematics
For Liberal Arts (3-0) 3
This course contains
an introductory survey of a variety of topics such as theory and
history of mathematics, logic, problem solving, number theory, consumer
applications, and probability. Fall and winter terms.
Prerequisites:
19 on Math ACT or completion of TRS 92 with a grade of C- or better.
Math 135Q Mathematical
Concepts (3-0) 3
Students develop familiarity
with concepts of number and measurement, both exact and approximate;
number sense; patterns and representations of numbers, including
estimations of solutions; geometric figures; functions and connections
between variables using algebraic, tabular, and graphical representations;
probability and statistical relations, with elementary analysis
of data.
Prerequisites:
19 on Math ACT or completion of TRS 92 with a grade of C- or better.
Math 201Q Elementary
Statistics (4-0) 4
An introduction to basic
ideas in statistics including descriptive statistics, measure of
central tendency and dispersion, probability, sampling distributions,
estimation, hypothesis testing, regression and correlation, and
statistical software application. Credit will be given for only
one of BA 253Q, Psyc 241Q, or Math 201Q. Fall and winter terms.
Prerequisites:
Completion of Math 110Q with a grade of C- or better or consent
of instructor.
Math 210Q Calculus
For Business And The Biological Sciences (4-0) 4
An introductory calculus
course intended for students majoring in business administration,
economics, or the biological sciences. Topics include limits, differential
and integral calculus of one variable, and an introduction to calculus
of two variables. Fall and winter terms.
Prerequisites:
Placement into Math 210Q or completion of Math 110Q with a grade
of C- or better.
Math 215Q Mathematics
For The Elementary School Teacher (2-2) 3
This course is designed
primarily for the elementary school teacher. It includes a study
of sets, set operations, construction of numeration systems, whole
and integer and rational number arithmetic, ratio and proportion,
decimals, percent, selected topics in geometry, the metric system,
and an introduction to the real number system. Fall, winter, and
summer terms.
Prerequisites:
19 on Math ACT or completion of TRS 92 with a grade of C- or better;
and completion of, or concurrent enrollment in, Ed 200.
Math 221Q Calculus
I (4-0) 4
Limits, continuity, derivatives
and integrals of functions of one variable including polynomial,
root, rational, exponential, logarithmic, trigonometric, and inverse
trigonometric functions. Applications of Calculus are included.
Fall and winter terms.
Prerequisites:
Placement into Math 221Q or completion of Math 121Q with a grade
of C- or better.
Math 222Q Calculus
II (4-0) 4
A continuation of Math
221Q. Techniques and applications of integration, introduction to
differential equations and applications, sequences and series, applications
using polar and parametric coordinate systems.
Prerequisites:
Completion of Math 221 with a grade of C- or better.
Math 223Q Calculus
III (4-0) 4
Vectors and multivariable
calculus with applications. Fall and winter terms. Prerequisites:
Completion of Math 222Q with a grade of C- or better.
Math 300W Writing
In Mathematics (3-0) 3
Writing and interpretation
associated with problem statements and solutions, proof structures,
modeling experiments, exposition and technical reports. Winter term.
Prerequisites:
Completion of Math 221Q with a grade of C- or better and Comp 150
and Lib 150.
Math 301Q Foundations
For Advanced Mathematics (4-0) 4
A study of mathematical
systems and the forms and techniques of proofs. Included are logic,
set theory, and an introduction to elementary number theory. These
are studied in some depth and with careful attention to forms of
proofs. This course is a prerequisite for most upper-division courses
in mathematics. It is often taken concurrently with Math 222Q or
223Q. Fall term.
Prerequisites:
Completion of Math 221Q with a grade of C- or better.
Math 305Q Discrete
Mathematical Structures (3-2) 4
A study of sets, graphs,
trees, combinatorics, probability, recursion, algorithms, mathematical
reasoning and modeling computation with applications to computer
science. Winter term. Prerequisites: Completion of Math 221Q or
Math 210Q, and CSIS 110 with a grade of C- or better; or consent
of instructor.
Math 310Q Methods
Of Teaching Mathematics In The Secondary School (3-0) 3
This course is for students
who are planning to be secondary of middle school teachers. It will
include concepts from discrete math, geometry, algebra, and data
collection and analysis. It will include uses of technology, in
particular the graphing calculator and software used in geometric
investigations. Prerequisites: Acceptance into teacher education
program.
Math 311Q Matrices
And Linear Algebra (4-0) 4
A study of the properties
and applications of matrices, including systems of equations, determinants,
similarity, and eigenvalues. An introduction to the theory of vector
spaces and linear transformations. Fall term.
Prerequisites:
Completion of Math 221Q with a grade of C- or better.
Math 315Q Real Numbers
And Geometry (3-0) 3
This course is intended
for those seeking teacher certification at the elementary or junior
high school level. Topics will include real numbers, points, lines,
planes, the continuum, the role of axioms and proof, and the basic
concepts of Euclidean geometry. Fall term of odd-numbered years.
Prerequisites:
Completion of Math 215Q with a grade of C- or better.
Math 316Q Topics In
Number Theory (3-0) 3
Some of the topics to
be presented in this course are: modular arithmetic, finite fields,
basic prime number theorems, congruences, and combinations. Winter
term of even-numbered years.
Prerequisites:
Completion of Math 315Q or 221Q with a grade of C- or better.
Math 318Q Mathematics
For The Elementary School Teacher II (2-2) 3
A continuation of Math
215Q. Topics will include the use of calculators and computers,
discrete math, data analysis, and an introduction to algebra. Winter
term.
Prerequisites:
Completion of Math 215Q with a grade of C- or better.
Math 320Q Numerical
Analysis (3-0) 3
An introductory course
in developing and using numerical techniques for solving problems
in mathematics, the physical sciences, engineering, and in other
quantitative fields. Topics include approximation of functions by
computable functions, zeros of functions, linear algebra and matrix
calculations, and difference equations. The use of the computer
will be included. Fall term of odd-numbered years.
Prerequisites:
Completion of Math 222Q and one of CSIS 150 or CSIS 110 with a grade
of C- or better.
Math 325 History Of
Mathematics (3-0) 3
The development of selected
mathematical concepts will be traced from the Greek era. The course
will focus on mathematical creation as a human endeavor done within
a cultural context. Fall term of even-numbered years.
Prerequisites:
Completion of Math 121 with a grade of C- or better.
Math 327Q Differential
Equations (4-0) 4
An introduction to ordinary
differential equations. Topics will include methods of solving first
order nonlinear equations, basic theory and methods of solving n-th
order linear equations, including infinite series methods. Further
topics will include an introduction to systems of linear ordinary
differential equations and the Laplace transform. Applications will
be emphasized. Winter term.
Prerequisites:
Completion of Math 223Q with a grade of C- or better.
Math 342Q Modern College
Geometry (3-0) 3
A course in college geometry
that includes topics in Euclidean and non-Euclidean geometries.
Winter term of odd-numbered years.
Prerequisites:
Completion of Math 301Q with a grade of C- or better.
Math 345Q Data Analysis
(4-0) 4
A second course in statistics
covering techniques most widely used in the sciences, including
multiple regression models, analysis of variance, and non-parametric
methods. Emphasis is placed on underlying assumptions, purposes,
advantages and disadvantage, valid interpretation, and computer
software implementation. Fall term.
Prerequisites:
Completion of Math 201Q or BA 253Q or Psyc 241Q with a grade of
C- or better.
Math 360Q Introduction
To Operations Research (4-0) 4
Overview of optimization
techniques used in operations research. Topics include linear programming,
network flow, transportation problems, queuing theory, inventory
models, PERT and CPM, dynamic programming, use of statistical computer
packages. Winter term of odd-numbered years. (This course is the
same as BA 360.)
Prerequisites:
Completion of Math 210Q or 221Q and Math 201Q or BA 253 with a grade
of C- or better.
Math 387Q Algebraic
Structures (4-0) 4
A course in abstract
algebra including topics from the theories of groups, rings, and
fields. Applications will be discussed. Winter term.
Prerequisites:
Completion of Math 301Q with a grade of C- or better.
Math 403Q Probability
And Mathematical Statistics (4-0) 4
Topics include probability
functions, conditional probability, independence, random variables,
order statistics, expected values, moment generating functions,
probability distributions, properties of estimators, maximum likelihood,
estimation, and hypothesis testing. Winter term of even-numbered
years.
Prerequisites:
Completion of Math 201Q with a grade of C- or better; and completion
of, or concurrent enrollment in, Math 222Q.
Math 424Q Advanced
Calculus (4-0) 4
Topics include structure
of the real number system and Euclidean spaces, general theory of
limits, continuity, derivatives, Riemann integrals, series and sequences,
coordinate systems transformations, physical fields, Divergence
and Stokes theorem. Fall term.
Prerequisites:
Completion of Math 223Q and Math 301Q with a grade of C- or better.
Math 430Q Complex
Variables (3-0) 3
This course will cover
topics in complex numbers, analytic functions, elementary functions
and associated mappings, integrals, series, residues and poles,
and conformal mappings. Fall term of even-numbered years.
Prerequisites:
Completion of Math 223Q with a grade of C- or better.
Math 496 Mathematics
Senior Seminar (3-0) 3
Advanced study and research
in selected topics. Will include written and oral presentations
of a project involving library research. Activities relate to various
mathematical careers and students participate in seminars given
by visiting mathematicians. Winter term.
Prerequisites:
Senior standing.
Math 497 Mathematics
Education Senior Seminar (3-0) 3
Advanced study and research
in selected topics. Will include written and oral presentations
of a project involving library research. Activities relate to career
in mathematics education. Winter term. Prerequisites: Senior or
junior standing and enrollment in a program of teacher certification.
Math 499 Independent Study 1-6 Individual research conducted under
the supervision of a faculty member. Written and oral presentation
of research results required if this course is used to satisfy the
Math 496/497 graduation requirement. On demand.
Prerequisites:
Consent of instructor.
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