Mathematics Courses

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.

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.

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.

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.

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 

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.

Introduction to logic, inductive and deductive reasoning, direct and indirect proofs, Euclidean and non-Euclidean
geometries. Prerequisite: MATH 101 or higher.

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.

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.

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.

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.

Further study of limit processes, vector analysis, partial derivatives, multiple integrals , topics in vector calculus, line
and surface integrals. Prerequisite: MATH 201.

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.

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.

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.

Systems of linear equations, matrices, determinants, vector spaces, linear transformations, canonical forms, and
applications. Prerequisite: MATH 201. Not offered every year.

Introductions to groups , rings, fields, modules, homomorphisms, and related topics. Prerequisite: MATH 205. Not
offered every year.

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.

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.

To conduct research on a selected current topic in mathematics, culminating in a presented paper.

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.