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Mathematics Courses

 

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.

323 Introductory Complex Variables 3 semester hours

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.

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