101 |
Introduction to Mathematics |
3 semester hours |
An introduction to a broad range of mathematical concepts
at the first-year college level. Topics include: sets, problem
solving , logic, the real number system , use of charts and graphs, geometry,
metrics, and elementary probability and
statistics. Prerequisite: FND 150 or exemption by placement exam.
102 |
Intermediate Algebra |
3 semester hours |
An intermediate course in algebra, including real numbers ,
laws of exponents, linear equations and inequalities,
systems of linear equations and inequalities, polynomials , rational expressions
and equations, radicals , rational
exponents, and an introduction to second and higher order equations .
Prerequisite: FND 150 or exemption by
placement exam.
103 |
College Algebra |
3 semester hours |
A college course in algebra, including exponents,
equations and inequalities , systems of equations, complex numbers ,
functions and their graphs, variation, the binomial theorem, arithmetic and
geometric progressions. Prerequisite:
MATH 102 or exemption by placement exam.
104 |
Logic |
3 semester hours |
An introduction to the problems principles, and techniques
of sound reasoning. Deals with deductive logic (including
symbolic), inductive logic, and with informal logic. Not offered every year.
105 |
Precalculus |
4 semester hours |
Algebraic and geometric properties of polynomial ,
exponential, logarithmic and trigonometric functions, topics in
advanced algebra and analytic geometry. Prerequisite: MATH 103 or exemption by
placement exam
106 |
Calculus I |
4 semester hours |
Limits, continuity, and derivatives of elementary
algebraic and transcendental functions, implicit differentiation,
maxima and minima, curve tracing , related rates, application to practical and
scientific problems, antidifferentiation,
definite integrals and the fundamental theorem of calculus. Prerequisite: MATH
105 or exemption by placement
examination.
110 |
Geometry Concepts |
3 semester hours |
Introduction to logic, inductive and deductive reasoning,
direct and indirect proofs, Euclidean and non-Euclidean
geometries. Prerequisite: MATH 101 or higher.
134 |
Algorithmic Foundations of Computer Science |
3 semester hours |
This course sets the mathematical foundation for computer
science, logic, algorithmic design, and data structures.
The course covers the logic of compound and quantified statements, basic ideas
of mathematical functions, recursion,
and O-notation and the efficiency of algorithms. Prerequisite: MATH 101 or
higher.
135 |
Discrete Mathematics |
3 semester hours |
An appreciation course dealing with elementary concepts
and applications of finite systems, sets and relations, vectors
and matrices, finite graphs and trees, diagraphs and finite-state machines,
combinatories, algorithms, and applications.
Prerequisite: MATH 101 or higher.
180 |
Statistics |
3 semester hours |
An introduction to descriptive and inferential statistics:
frequency distributions , measures of central tendency,
standard deviation, binomial and normal probability distributions, estimation,
hypothesis testing, correlation, linear
regression, and applications to business, industry, and the sciences.
Prerequisite: MATH 101 or exemption by
placement exam.
201 |
Calculus II |
4 semester hours |
Techniques of integration, applications of the definite
integral, improper integrals, L’Hopital’s rule, infinite series,
topics in analytic geometry, polar coordinates and parametric equations.
Prerequisite: MATH 106.
202 |
Calculus III |
4 semester hours |
Further study of limit processes, vector analysis, partial
derivatives, multiple integrals , topics in vector calculus, line
and surface integrals. Prerequisite: MATH 201.
205 |
The Language of Mathematics |
3 semester hours |
Introduces the techniques of mathematical proof, abstract
methods in mathematical analysis and algebra. Some of the
topics to be covered are the logic of compound and quantized statements,
mathematical induction, basic set theory
including functions and cardinality. Prerequisite: MATH 201.
303 |
College Geometry |
3 semester hours |
Euclidean geometry from an advanced standpoint, incidence
geometry, absolute geometry, non-Euclidean geometries,
and some point-set theory. Prerequisites: MATH 205, high school geometry or MATH
110. Not offered every year.
304 |
Differential Equations |
3 semester hours |
Linear differential equations of first and second order,
systems of ordinary differential equations, Laplace transforms,
series and numerical solutions, some partial differential equations, and
applications to the sciences. Prerequisite:
MATH 202. Not offered every year.
312 |
Linear Algebra |
3 semester hours |
Systems of linear equations, matrices, determinants,
vector spaces, linear transformations, canonical forms, and
applications. Prerequisite: MATH 201. Not offered every year.
313 |
Algebraic Structures |
3 semester hours |
Introductions to groups , rings, fields, modules,
homomorphisms, and related topics. Prerequisite: MATH 205. Not
offered every year.
315 |
Introduction to Analysis |
3 semester hours |
Sets, completeness of real numbers, sequences and limits,
Cauchy sequences, topology of the real line, Boizano-
Weierstrass and Heine-Borel theorems, differentiation and the mean value
theorems, infinite series, the Riemann
integral, and power series. Prerequisite: MATH 205. Not offered every year.
Elements of the calculus of complex variables, analytic
functions, complex transformations, complex integration, and
applications. Prerequisite: MATH 202. Not offered every year.
394 |
Practicum |
1-15 semester hours |
Applied field work under professional supervision
supplemented by appropriate readings and written reports. In
general, 40 hours of supervised work are expected for each semester hour of
credit. The course may be repeated for
credit provided a new topic is chosen. Prerequisite: permission of the
instructor.
395 |
Senior Thesis |
3 semester hours |
To conduct research on a selected current topic in
mathematics, culminating in a presented paper .
399 |
Independent Study |
1-6 semester hours |
An intensive study of a selected topic at varying levels
of independence. In general, 40 hours of work are expected for
each semester hour of credit. The course may be repeated for credit provided a
new topic is chosen. Prerequisites:
ENGL 102 and permission of the instructor.