CRN |
14050 |
Distribution |
E/G |
Course
No. |
MATH 111 Q course |
||
Title |
Calculus
I |
||
Professor |
Mark Halsey |
||
Schedule |
Tu Th 10:30 am - 12:20 pm HEGEMAN 106 |
An introduction to the basic ideas of
differentiation and integration in one variable. Topics include limits,
techniques of differentiation, definite integrals, the fundamental theorem of
calculus, and applications.
Prerequisite: Mathematics 110 or
equivalent.
CRN |
14051 |
Distribution |
E/G |
Course
No. |
MATH 112 Q course |
||
Title |
Calculus
II |
||
Professor |
Ethan Bloch |
||
Schedule |
Tu Th 1:30 pm - 3:20 pm ALBEE
106 |
This course, a
continuation of Calculus I, reinforces the fundamental ideas of the derivative
and the definite integral. Topics
covered include L'Hopital's rule, integration techniques, improper integrals,
volumes, arc length, sequences and series, power series, continuous random variables, and separable differential
equations.
Prerequisites: Mathematics 111 or the equivalent.
CRN |
14052 |
Distribution |
E |
Course
No. |
MATH 131 Q course |
||
Title |
Exploration
in Number Theory |
||
Professor |
Lauren Rose |
||
Schedule |
Mon Wed 1:30 pm - 2:50 pm PRE 128 |
This course will provide an overview of one of the
oldest and most beautiful areas of mathematics. It is ideal for any student who
wants a taste of mathematics outside of the calculus sequence. Topics may
include: number puzzles, prime numbers, congruences, quadratic reciprocity,
sums of squares, Diophantine equations, cryptography, coding theory, and
continued fractions.
Prerequisite: Precalculus or
permission of the instructor.
CRN |
14319 |
Distribution |
E |
Course
No. |
MATH 135 Q course |
||
Title |
Game
Theory |
||
Professor |
Mark Halsey |
||
Schedule |
Wed Fr 10:00 am - 11:20 am PRE 128 |
In the twentieth century, the theory of games
gained prominence for its application to the social sciences. Game theory is a
mathematical approach to modeling situations of conflict whether real of
theoretical. This course will introduce the student to this exciting area of
mathematics. Using algebra and some analytical geometry, students will be able
to explore the mathematical foundations of game theory. At the same time
students will encounter a wide range of applications of the theory of games.
Topics covered will be chosen from: zero sum games, nonzero sum games, pure and
mixed strategies, von Neumann’s Minimax Theorem, Nash equilibria, and
cooperative games.
Prerequisites: Precalculus or
permission of the instructor.
CRN |
14053 |
Distribution |
E |
Course
No. |
MATH 212 Q course |
||
Title |
Vector
Calculus |
||
Professor |
Karen Ricciardi |
||
Schedule |
Mon Wed 8:30 am - 10:20 am HEGEMAN 106 |
This course investigates differentiation and
integration of multivariable functions. Topics covered include vectors,
coordinate systems, vector valued functions, partial derivatives, gradients,
Lagrange multipliers, multiple integrals, change of variables, line integrals,
Green’s theorem, and Stoke’s theorem.
Prerequisite: Mathematics 111 and 112
or the equivalent.
CRN |
14054 |
Distribution |
E |
Course
No. |
MATH 242 Q course |
||
Title |
Elementary
Linear Algebra |
||
Professor |
Karen Ricciardi |
||
Schedule |
Mon Wed 3:00 pm - 4:20 pm ALBEE 106 |
This course will cover the basics of linear algebra
in n-dimensional Euclidean space, including vectors, matrices, systems of
linear equations, determinants, eigenvalues and eigenvectors, as well as
applications of these concepts to the natural, physical and social
sciences. Equal time will be given to
computational, applied, and theoretical aspects of the course material. Prerequisite: Math 111 or permission
of the instructor.
CRN |
14055 |
Distribution |
E |
Course
No. |
MATH 261 Q course |
||
Title |
Proofs
and Fundamentals |
||
Professor |
Lauren Rose |
||
Schedule |
Tu Th 9:00 am - 10:20 am HEGEMAN 106 |
This course introduces students to the methodology
of mathematical proof. The logic of compound and quantified statements,
mathematical induction, and basic set theory including functions and
cardinality are covered. Topics from foundational mathematics are developed to
provide students with an opportunity to apply proof techniques.
Prerequisite: Mathematics 111 and
112, or permission of instructor.
CRN |
14320 |
Distribution |
E/G |
Course
No. |
MATH 322 Q course |
||
Title |
Operations
Research |
||
Professor |
Karen Ricciardi |
||
Schedule |
Tu Th 10:00 am - 11:20 am PRE 128 |
Cross-listed:
Economics
Operations research is a scientific approach to
decision making, which seeks to determine how best to design and operate a
system, usually under conditions requiring the allocation of scarce
resources. This course will introduce
the student to the branch of operations research known as deterministic
optimization. Deterministic
optimization tackles problems such as how to schedule classes with a limited
number of classrooms on campus, how to determine a diet that is both rich in
nutrients and low in calories, how design a machine that will be most energy
efficient and how to create an investment portfolio that meets your investment needs. A broad range of optimization techniques
will be covered in this course including linear programming, network flows,
integer/combinatorial optimization and nonlinear programming. The course will emphasize the importance of
problem formulation as well as how to apply algorithms to real-world problems
to arrive at optimal solutions. Prerequisites:
A working knowledge of multivariable calculus and basic linear algebra.
CRN |
14056 |
Distribution |
E/Q |
Course
No. |
MATH 332 |
||
Title |
Abstract
Algebra |
||
Professor |
Lauren Rose |
||
Schedule |
Tu Th 1:30 pm - 2:50 pm HEGEMAN 106 |
An introduction to modern abstract algebraic
systems. The structures of groups, rings, and fields are studied together with
the homomorphisms of these objects. Topics include equivalence relations,
finite groups, group actions, integral domains, polynomial rings, and finite
fields.
Prerequisite: Mathematics 261 or permission of the
instructor.
CRN |
14321 |
Distribution |
E |
Course
No. |
MATH 351 Q course |
||
Title |
Point
Set Topology |
||
Professor |
Ethan Bloch |
||
Schedule |
Mon Wed 1:30 pm -
2:50 pm HEGEMAN 106 |
An introduction to point set topology. Topics
include metric spaces, compactness, connectedness, continuity, homeomorphisms,
separation criteria, and possibly the fundamental group.
Prerequisite: Mathematics 261 or
permission of the instructor.