# Mathematics Courses

**MATH 100, INTERMEDIATE ALGEBRA**, 4 credits,
non-degree only. This course is for students with less than a 2-year algebra
sequence from high school or whose score on the mathematics placement test is
not satisfactory for CORE 130 or MATH 101. Review of basic concepts with
emphasis on equations and inequalities, functions and graphing, systems of
linear equations and graphing, exponential and logarithmic functions, and the
conic sections. The above topics are introduced in their basic setting.

**MATH 101, 101S, COLLEGE ALGEBRA**, 4 credits. This
course presents fundamental concepts of algebra are reviewed, but emphasis is on
advanced study of algebraic equations and inequalities, algebraic functions and
their graphs, exponential and logarithmic functions, and systems of equations
and inequalities. Additional topics will be covered following completion of the
topics listed above. The course will make use of technology (calculators and
computers) and mathematical modeling for solving both hypothetical and real-life
problems. The course is recommended for students needing more algebraic
experience before taking advanced courses in their discipline (for example,
quantitative courses not requiring trigonometry). Prerequisites: MATH 100 or
successful completion of a 2-year sequence in high school algebra and a suitable
score on a mathematics placement test.

**MATH 110, PRECALCULUS**, 4 credits. This course
emphasizes functions and their graphs, exponential and logarithmic functions,
trigonometry, trigonometric functions and applications, systems of equations and
inequalities, matrices and determinants, series, counting, and probability. The
course will make use of technology and mathematical modeling for problem
solving. This is a one semester preparation for calculus, involving all of the
elementary functions. Prerequisites: MATH 101 or successful completion of at
least a 2-year sequence of high school algebra and an adequate score on a
mathematics placement test.

**MATH 115, DISCRETE MATHEMATICS**, 4 credits. This
course is a non-calculus based course designed for students interested in
computer science. No previous experience is required. The course will provide
the mathematical foundations necessary for other computer science courses.
Topics covered include introduction to formal logic, techniques of proofs,
recursion and recurrence relations, elementary analysis of algorithms, counting
principles, relations and functions, graphs and trees, and graph algorithms.
Prerequisite: MATH 110 or eligibility to enroll in MATH 120.

**MATH 120, CALCULUS I**, 4 credits. Topics of this
course include limits, derivatives, and integration of algebraic, trigonometric,
exponential, and logarithmic functions, with applications. The course will use
technology for exploration and problem-solving. Prerequisites: MATH 110 or
successful completion of at least a two year sequence in high school algebra and
high school trigonometry, and an adequate score on the mathematics placement
test.

**MATH 130, CALCULUS II**, 4 credits. This course is
the second of a three-semester course sequence. Topics included are techniques
of integrations, improper integrals, conic sections, polar coordinates,
parametric equations, solid analytic geometry and vectors in space, and
applications. Prerequisite: MATH 120.

**MATH 200, MATHEMATICS FOR ELEMENTARY TEACHERS**, 4
credits. This course introduces students to the algorithms of arithmetic, number
bases, mensuration and convergence factors. Divisibility properties of the
integers, primes and composites, sets and numbers, logic and sets and techniques
of proof. Prerequisite: MATH 101 or Core 130. Not open to students who have
completed MATH 220.

**MATH 210, CALCULUS III**, 4 credits. This course is
the third in a three-semester sequence. Topics included are infinite series,
vector valued-functions, partial differentiation, multiple integration, and
topics in vector calculus (line integrals, surface integrals, Green’s Theorem,
Divergence Theorem, and Stokes’ Theorem). A computer algebra system will be used
for problem-solving and to gain new insight and understanding. This three course
sequence is very important for advanced studies in mathematics and many other
disciplines. Prerequisite: MATH 130.

**MATH 220, INTRODUCTION TO HIGHER ALGEBRA**, 4
credits. This course is an introduction to fundamental mathematical techniques
used in upper-level mathematics courses and other disciplines. The course
presents the principles of mathematical logic and uses them to examine standard
methods of direct and indirect proof, including mathematical induction. Topics
include techniques from elementary number theory and the naive set theoretic
approach to functions and relations. An axiomatic development of some structures
is introduced, as well as systems of linear equations and matrices.
Prerequisite: MATH 120 or permission of the instructor.

**MATH 240, LINEAR ALGEBRA**, 4 credits. This course
introduces students to systems of linear equations and matrices, abstract vector
spaces and linear transformations, orthogonality, eigenvalues, eigenvectors, and
diagonalization. Some attention is given to the development of abstract
reasoning and a variety of applications of linear algebra in natural and social
science. Prerequisite: MATH 130 or concurrent enrollment in MATH 130.

**MATH 270, ORDINARY DIFFERENTIAL EQUATIONS**, 4
credits. This course is on linear differential equations, Integral transforms,
integrating in series and system of linear differential equations with
applications. Prerequisite: MATH 130.

**MATH 320, ALGEBRAIC STRUCTURES**, 4 credits. This
course is a systematic study of groups, rings and fields complete with
substructures, homorphisms, endomorphism, isomorphisms and automorphism and
field extensions. Prerequisite: MATH 240.

**MATH 353, INTRODUCTION TO REAL ANALYSIS**, 4 credits.
This course represents a rigorous treatment of limits and continuity with an
introduction to a topology for the reals, completeness of the reals,
differentiability and integrability and sequences, series and the theory of
convergence. Prerequisite: MATH 240.

**MATH 390, SPECIAL TOPICS IN MATHEMATICS**, 4 credits.
Topics vary, depending on the interest of students and staff. Prerequisite:
Permission of the instructor.

**MATH 395, SENIOR SEMINAR**, 1 credit. This course is
open only to senior mathematics majors. Under the supervision of a full time
member of the mathematics faculty, the student will prepare a seminar to be
presented orally and in writing.

**MATH 398, INDEPENDENT STUDY**, 3-4 credits. In this
course, the student may complete any mathematics requirement by independent
study and periodic evaluations by a full-time member of the Mathematics faculty.
Prerequisite: Approval of Program Coordinator.