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Department of Computer Science and Mathematics
MTH102 Calculus II [3-0, 3 cr.]
This course covers mainly integration. Topics
include indefinite integrals, integral rules,
integration by substitution, estimating with
finite sums, Riemann sums and definite
integrals, the fundamental theorem of Calculus,
substitution in definite integrals, applications of
integrals (areas between curves and volumes
by slicing, volumes by cylindrical shells, and
lengths of plane curves), transcendental
functions (logarithms, exponential functions,
inverse trigonometric functions), and some
basic techniques of integration (integration by
parts, and trigonometric integrals). In addition,
the course covers differential equations and
modeling (first order separable differential
equations, linear first order differential
equations), vectors in the plane and in space,
as well as dot and cross products, lines and
planes in space, and a brief introduction to
conics (ellipse, hyperbola, parabola).
Prerequisite: MTH101 Calculus I.
MTH111 Basic Mathematics [3-0, 3 cr.]
This is a survey course that covers a variety
of basic mathematical topics. The course
provides a background in numeration systems,
logic, set theory, relations and functions, linear
programming, quantitative reasoning, and
probability.
MTH200 Mathematics for Life Sciences
[3-0, 3 cr.]
This course is intended for students majoring
in life sciences, and covers the following topics:
linear, exponential, and logarithmic functions,
systems of equations and matrices, methods of
integration, Maclaurin series, maximization and
minimization, introduction to linear programming,
and introduction to differential equations.
Prerequisite: Sophomore Standing.
MTH201 Calculus III [3-0, 3 cr.]
This course covers hyperbolic functions,
integration techniques and improper integrals.
The course covers also infinite sequences and
series: limits of sequences of numbers, bounded
sequences, integral test for series, comparison
tests, ratio and root tests, alternating series,
absolute and conditional convergence, power
series, Taylor and MacLaurin series, and
applications of power series. Polar functions,
polar coordinates, and graphing of polar curves
are also covered. In addition, topics from
multivariable calculus are introduced: functions
of several variables, partial derivatives, double
integrals, applications to double integrals, and
double integrals in polar form.
Prerequisite: MTH102 Calculus II.
MTH206 Calculus IV [3-0, 3 cr.]
This course covers the Fourier series, cylinders
and quadric surfaces, vector-valued functions,
arc length and the unit tangent vector,
curvature and the unit normal vector, torsion
and the binormal vector, partial derivatives
and applications, the chain rule, directional
derivatives, gradient vectors, tangent planes,
linearization and differentials, extreme values
and saddle points, Lagrange multipliers, triple
integrals, triple integrals in cylindrical and
spherical coordinates, integration in vector
fields, line integrals, circulation and flux,
potential functions and conservative fields,
the Fundamental Theorem of Line Integrals,
Green’s theorem, surface integrals, parametric
surfaces, Stokes and divergence theorems.
Prerequisite: MTH201 Calculus III.
MTH207 Discrete Structures I [3-0, 3 cr.]
This course covers the foundations of discrete
mathematics as they apply to computer science.
The course is an introduction to propositional logic,
logical connectives, truth tables, normal forms,
validity, predicate logic, universal and existential
quantification, and the limitations of predicate
logic. Also, the following topics are covered: the
number system, the Euclidean algorithm, proof
techniques, mathematical induction, counting
arguments, permutations and combinations,
binomial coefficients, sets, functions, relations,
matrices, and Boolean Algebra.
MTH301 Linear Algebra [3-0, 3 cr.]
This is an introductory course in linear algebra
where students are exposed for the first time to a
balance of computation, theory, and applications.
Topics include the systems of linear equations,
vector spaces, linear dependence, bases,
linear transformations, matrices, determinants,
eigenvalues, and eigenvectors.
Prerequisite: MTH201 Calculus III.
MTH302 Geometry [3-0, 3 cr.]
This course presents an investigation of the
axiomatic foundations of modern geometry. More
specifically, Euclidean geometry is discussed
in detail. Less emphasis will also be placed on
spherical, and/or hyperbolic geometries.
Prerequisite: Junior Standing.
MTH303 Numerical Methods [3-0, 3 cr.]
This course compares and contrasts various
numerical analysis techniques, in addition to
error definition, stability, the machine precision
concepts, inexactness of computational
approximations, the design, code, test, and
debug programs that implement numerical
methods, floating-point arithmetic, convergence,
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