|
|
 |
Mathematics Course
Descriptions
MATH 105 Mathematics for
Liberal Arts Students 3 sem. hrs.
An introduction to the nature of mathematics and its applications in the
physical world. Topics include numerical reasoning, symbolism and algebra,
geometric reasoning and measurement, the function concept, discrete mathematics
and algorithms, probability and statistical reasoning, mathematical modeling,
inductive and deductive arguments. Prerequisite: MATH 3A or recommendation
of the department chairperson based on mathematics assessment. Spring
MATH 111 College
Algebra 4 sem. hrs.
Real number system, linear equations and inequalities, polynomials, factoring, rational
expressions, functions and graphs, quadratic equations and inequalities, exponentials and
logarithms, systems of linear equations, sequences, permutations and
combinations. Prerequisite: Recommendation of the
department chairperson based on mathematics assessment. Fall
MATH 112 Elementary Functions 3 sem.
hrs.
A functional approach to precalculus mathematics including polynomial functions,
exponential and logarithmic functions, trigonometric functions, complex numbers. Prerequisite: MATH 111 or recommendation of the
department chairperson based on mathematics assessment. Winter 2007
MATH 117 Mathematics for Elementary Teachers 4 sem. hrs.
Emphasis is on understanding of mathematics taught in elementary school using a
problem-solving approach and the recommendations of the NCTM Curriculum and
Evaluation Standards. Topics from basic mathematics include sets, functions,
numeration systems, whole numbers, integers, number theory, rational numbers,
decimals, and real numbers. Topics from geometry include points, lines,
planes, angles, triangles, parallelograms, circles, basic straight-edge
and compass constructions, geometry as a deductive system, congruence and
similarity, areas, and volumes. Prerequisite: MATH 3A or recommendation of the
department chairperson based on mathematics assessment. Winter
MATH 200 Elementary Statistics 4 sem.
hrs.
An introduction to the theory and applications of statistics intended for students in
business, nursing, and the social sciences, but also recommended for students in the
liberal arts. Topics include measures of central tendency and variability, probability
distributions, confidence intervals, hypothesis testing, linear regression, correlation,
analysis of variance, and nonparametric statistics. This course is not open to those in a
mathematics major. Prerequisite: MATH 3A or recommendation of the department
chairperson based on mathematics assessment. Fall, Winter,
Spring, Summer
MATH 210 Applied Calculus
3 sem. hrs.
A survey of calculus with emphasis on applications in business, economics, and the biological sciences. Topics include functions, rate of change,
derivatives, continuity, curve sketching, optimization, exponential and logarithmic
functions, antiderivatives and definite integrals. Prerequisite: MATH 111 or
recommendation of the department chairperson based on mathematics assessment.
Spring
2009
MATH 217 Calculus I
4 sem. hrs.
Functions and graphs, mathematical models, limits, continuity, slope of a curve, derivatives, techniques of
differentiation, applications of derivatives, differentials, optimization, plane
areas, antiderivatives, definite integrals, Fundamental Theorem of Calculus, and
numerical integration. Includes one session per week in
a computer lab. Prerequisite: MATH 112 or recommendation of the department
chairperson based
on mathematics assessment. Winter
MATH 218 Calculus II 4 sem. hrs.
Applications of the definite integral, techniques of integration,
numerical integration, differential equations, growth and decay models,
parametric equations, vectors, polar coordinates, infinite series, and power
series. Includes one
session per week in a computer lab. Prerequisite: MATH 217. Spring
MATH 219 Multivariate Calculus 3 sem.
hrs.
Vectors in space, lines and planes, quadric surfaces, vector-valued functions, curvilinear motion,
functions of several variables, partial derivatives, tangent planes,
optimization, multiple integrals, vector fields and line integrals. Prerequisite: MATH 218.
Fall 2007
MATH 225 Discrete Mathematics 3 sem.
hrs. (FT)
Set theory, sequences, counting principles, probability, matrix algebra, relations,
functions, algorithms, ordering, binary operations, Boolean algebras, graphs and trees.
Prerequisite: MATH 111 or recommendation of the department chairperson based on mathematics
assessment. Fall
2007
MATH 245
Introduction to Mathematical Thinking 2 sem. hrs.
A bridge course to a fundamental understanding of the nature of mathematics.
Topics include inductive and deductive reasoning, abstraction and
generalization, valid arguments, counterexamples, conjecture and proof,
methods of proof. Prerequisite: MATH 218. Fall 2008
MATH 344 Linear Algebra 3 sem. hrs.
Systems of linear equations, matrix algebra, determinants, vector spaces, subspaces, basis
and dimension, eigenvalues and eigenvectors, linear transformations,
and applications. Prerequisite: MATH 218. Winter 2008
MATH 348 Ordinary Differential Equations 3
sem. hrs.
Methods of solution of various types of first and second order ODEs using
analytical, numerical, and graphical approaches. Topics include modeling
with ODEs, growth and decay, slope fields, equilibriums, linear ODEs, predator-prey
models, harmonic oscillators, linear systems, eigenvalues and eigenvectors,
Laplace transforms. Prerequisite: MATH 218. Fall 2008
MATH 350 Numerical Analysis 3 sem. hrs.
An introduction to numerical analysis with emphasis on numerical methods and
computer solutions. Intended for students in mathematics, natural sciences, and
pre-engineering. The topics covered will include Newton, Trapezoidal, and Simpson methods, Gauss
quadrature, interpolation, curve-fitting, and splines. Prerequisite: MATH 218.
Spring
2009
MATH 360 Probability and Statistics I 3
sem. hrs.
An introduction to the theory and applications of statistics for mathematics, natural
science, computer science and engineering students. Topics include probability, random
variables, moment-generating functions, estimation, hypothesis testing, and two-sample
problems. Prerequisite: MATH 218. Winter 2007
MATH 361 Probability and Statistics II 3
sem. hrs.
A continuation of MATH 360. Topics to be covered include goodness-of-fit, regression and
correlation, analysis of variance, block designs and non-parametric statistics.
Prerequisite: MATH 360. Spring 2008
MATH 405 Abstract Algebra 3 sem. hrs.
An introduction to some of the fundamental algebraic structures with emphasis on the
axiomatic method. Topics include groups, abelian groups, finite groups, cyclic groups,
permutation groups, isomorphisms and homomorphisms, factor groups, rings,
integral domains, ideals and factor rings, polynomial rings, fields, and algebraic
extensions. Prerequisites: MATH 245. Winter 2007
MATH 440 Special Methods of Teaching Secondary School
Mathematics 1 sem. hr.
An inquiry into the goals of teaching mathematics as they relate to the objectives of
modern education, curriculum design and problems, projects related to selected topics in
secondary school mathematics. As needed
MATH 445 Concepts of Geometry 3 sem.
hrs.
A survey of topics in geometry from an advanced standpoint, including incidence,
betweenness, congruence, parallelism, geometric inequalities, non-Euclidean geometries.
Prerequisite: MATH 245. Fall
2007
MATH 475 Independent Study 3 sem.
hrs.
Topics chosen from an area of mathematics of interest to the student and the instructor.
Available to mathematics majors only. Prerequisite: consent of the department
chairperson. With
departmental approval
MATH 490 Internship 3 sem. hrs.
Experience involving applications of undergraduate mathematics in an industrial or
commercial setting. Open to junior and senior mathematics majors with consent of the
program coordinator. With departmental
approval
MATH IR Independent Research 1
or 2 sem. hrs.
Independent research on an advanced topic in mathematics. Required of junior and
senior mathematics majors. Prerequisite: consent of
instructor. Winter
|
