Course |
MATH 102 Mathematics of Chance |
|
Professor |
Jan Rizzuti |
|
CRN |
17142 |
|
Schedule |
Tu Th 10:30 - 11:50 am OLINLC 115 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
Students and the instructor choose serious applications
of probability and statistics as the focus of the course. Concepts in
probability and statistics are developed to the extent necessary to understand
the applications. Most topics are introduced in a case-study fashion, usually
by reading an article in a current periodical such as the New York Times.
Other examples are drawn from journals such as Chance, Nature, Science,
and Scientific American. Primary reading is supplemented by readings on
basic probability and statistics. The goal is to enable the student to make
critical judgments and come to informed conclusions about current issues
involving chance. Prerequisite:
eligibility for Q courses. On-line registration
Course |
MATH 131 Exploration in Number Theory |
|
Professor |
Samuel Hsiao |
|
CRN |
17143 |
|
Schedule |
Tu Th 1:00 -2:20 pm Hegeman 106 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
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: Calculus background or very strong Precalculus
background. On-line registration
Course |
MATH 135 Game Theory |
|
Professor |
Mark Halsey |
|
CRN |
17144 |
|
Schedule |
Wed Fr 9:00 - 10:20 am Hegeman 102 |
|
Distribution |
OLD: E/G/Q |
NEW:
Mathematics & Computing
|
Cross-listed:
Science, Technology & Society
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 or
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. Prerequisities: Precalculus or permission of the
instructor. On-line
registration
Course |
MATH 141 A Calculus I |
|
Professor |
Ethan Bloch |
|
CRN |
17145 |
|
Schedule |
Tu Th 1:00 -2:20 pm OLINLC 115 |
|
Distribution |
OLD: E/G/Q |
NEW:
Mathematics & Computing
|
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: Precalculus or the equivalent. On-line registration
Course |
MATH 141 B Calculus I |
|
Professor |
John Cullinan |
|
CRN |
17146 |
|
Schedule |
Mon Wed 9:00 - 10:20 am OLINLC 115 |
|
Distribution |
OLD: E/G/Q |
NEW:
Mathematics & Computing
|
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: Precalculus or the equivalent. On-line registration
Course |
MATH 142 Calculus II |
|
Professor |
Mary Krembs |
|
CRN |
17147 |
|
Schedule |
Mon Wed 1:30 -2:50 pm Hegeman 106 Fr 12:00 -1:00 pm Hegeman 106 (required problem session) |
|
Distribution |
OLD: E/G/Q |
NEW:
Mathematics & Computing
|
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 141 or the equivalent. On-line
registration
Course |
MATH 212 Calculus III |
|
Professor |
Jules Albertini |
|
CRN |
17148 |
|
Schedule |
Mon Fr 1:30 -2:50 pm OLINLC 115 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
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 141 and 142 or the equivalent. On-line registration
Course |
MATH 242 Elementary Linear Algebra |
|
Professor |
John Cullinan |
|
CRN |
17149 |
|
Schedule |
Tu Th 9:00 - 10:20 am Hegeman 106 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
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. On-line registration
Course |
MATH 261 Proofs and Fundamentals |
|
Professor |
Ethan Bloch |
|
CRN |
17150 |
|
Schedule |
Mon Wed 3:00 -4:20 pm Albee 106 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
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 141 and 142, or permission of instructor. On-line
registration
Course |
MATH 275 Probability and Statistics |
|
Professor |
Samuel Hsiao |
|
CRN |
17151 |
|
Schedule |
Wed Fr 9:00 - 10:20 am Hegeman 106 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
Everyday we make decisions based on
numerical data in the face of uncertainty. We do so while reading the latest
political polls, playing a card game, interpreting a medical diagnosis, or analyzing
a scientific experiment. Probabilistic models and statistical methods help us
to think through such decisions in a precise mathematical fashion. This course
provides a calculus-based introduction to techniques and applications of
probability and statistics. Topics include random variables and their
distributions, Central Limit Theorem, hypothesis testing, estimation, linear
regression. Applications are selected from the natural and social sciences. Prerequisites: Math 142 or the
equivalent. For students concentrating in economics, Math 275 can substitute
for Econ 229. On-line
registration
Course |
MATH 332 Abstract Algebra |
|
Professor |
Lauren Rose |
|
CRN |
17152 |
|
Schedule |
Mon Wed 10:30 - 11:50 am Albee 106 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
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. On-line
registration
Course |
MATH 334 Advanced Topics in Algebra and Combinatorics |
|
Professor |
Lauren Rose |
|
CRN |
17153 |
|
Schedule |
Tu Th 10:30 - 11:50 am Albee 106 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
This course will cover a selection of topics from
algebraic combinatorics and computational algebra. Possible topics include convex
polytopes, simplicial complexes, multivariate splines, hyperplane arrangements,
and Groebner bases. Topic for this semester: Groebner bases. Prerequisite: Math 331 or 332,
or permission of the instructor. On-line registration
Course |
MATH 362 Complex Analysis |
|
Professor |
John Cullinan |
|
CRN |
17154 |
|
Schedule |
Tu Th 2:30 -3:50 pm Hegeman 106 |
|
Distribution |
OLD: E/Q |
NEW:
Mathematics & Computing
|
This course will cover the basic theory of functions
of one complex variable. Topics will include the geometry of complex numbers, holomorphic and harmonic
functions, Cauchy’s theorem and its consequences, Taylor and Laurent series,
singularities, residues, elliptic functions and/or other topics as time
permits. Prerequisites: Math 361 or permission of the instructor. On-line
registration