98111 |
MATH 110A Precalculus Mathematics |
Jan Rizzuti |
. T . Th . |
2:30
-3:50 pm |
OLINLC
115 |
MATC |
98902 |
MATH 110B Precalculus Mathematics |
Maria Belk |
M . W . . |
3:00
– 4:20 pm |
RKC
111 |
MATC |
A course for students who intend to take
calculus and need to acquire the necessary skills in algebra and trigonometry.
The concept of function is stressed, with particular attention given to linear,
quadratic, general polynomial, trigonometric, exponential, and logarithmic
functions. Graphing in the Cartesian plane and developing the trigonometric
functions as circular functions are included.
Prerequisites: successful completion of Q exam.
98110 |
MATH 136 Voting Theory |
John Cullinan |
M . W . . |
3:00-4:20
pm |
RKC
101 |
MATC |
Who should have won the 2000 Presidential
Election? Do any two senators really
have equal power in passing legislation? How can marital assets be divided
fairly? While these questions are of interest to many social scientists, a
mathematical perspective can offer a quantitative analysis of issues like these
and more. In this course, we will discuss the advantages and disadvantages of
various types of voting systems and show that, in fact, any such system is
flawed. We will also examine a quantitative definition of power and the
principles behind fair division. Prerequisite: MATH 110 or the
equivalent.
98112 |
MATH 141
A Calculus I |
Cliona Golden |
. T . Th . |
9:00
- 10:20 am |
HEG
102 |
MATC |
98113 |
MATH 141
B Calculus I |
James Belk |
M . W . . |
6:30
– 7:50 pm |
RKC
101 |
MATC |
98114 |
MATH 141
C Calculus I |
James Belk |
. T . Th . |
2:30
-3:50 pm |
RKC
101 |
MATC |
98115 |
MATH 141
D Calculus I |
Cliona Golden |
M . W . |
9:00-10:20
am |
HEG
102 |
MATC |
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.
98116 |
MATH 142 A Calculus II |
Samuel Hsiao
Problem session: |
. T . Th . . . . . F |
10:30
- 11:50 am 10:30
– 11:30 am |
RKC
102 RKC
102 |
MATC |
98117 |
MATH 142
B Calculus II |
Lauren Rose
Problem session: |
M . W . . . . . . F |
1:30
-2:50 pm 1:30
-2:30 pm |
HEG
106 HEG
106 |
MATC |
98118 |
MATH 142
C Calculus II |
Mary Krembs
Problem session: |
. T . Th . . . . . F |
9:00
- 10:20 am 12:30
–1:30 pm |
HEG
106 RKC
102 |
MATC |
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.
98121 |
MATH 211 Introduction to Differential Equations |
John Cullinan |
. T . Th . |
9:00
- 10:20 am |
RKC
101 |
MATC |
Cross-listed: Cognitive Science This course is an introduction
to ordinary differential equations. The course is organized around methods for
solving ordinary differential equations, and incorporates many ideas from
Calculus. Topics include the classification of differential equations,
determining existence and uniqueness of ordinary differential equations, and
solving first and second order differential equations using a variety of
mathematical
tools such as integrating factors, Laplace
transforms and power series. Prerequisite: Mathematics 141 and 142, or
the equivalent.
98119 |
MATH 212A Calculus III |
John Cullinan |
M . W . . |
9:00
- 10:20 am |
RKC
102 |
MATC |
98120 |
MATH 212
B Calculus III |
Mary Krembs |
. . W . F |
1:30
-2:50 pm |
RKC
101 |
MATC |
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.
98122 |
MATH 242 Linear Algebra with Applications |
Cliona Golden |
. T . Th . |
1:00
-2:20 pm |
HEG
106 |
MATC |
Cross-listed: Cognitive Science 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
141-142 or permission of the instructor.
98123 |
MATH 261 Proofs and Fundamentals |
Lauren Rose |
. T . Th . |
10:30
- 11:50 am |
HEG
106 |
MATC |
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.
98515 |
MATH 299 Problem Solving Seminar |
Lauren Rose |
M.
. . . |
6:00-
7:30 pm |
Kline |
MATC |
2 credits
This course
introduces problem solving techniques used throughout the mathematics
curriculum. The course focuses on solving difficult problems stated in terms of
elementary combinatorics, geometry, algebra, and calculus. Each class combines
a lecture describing the common tricks and techniques used in a particular
field, together with a problem session where the students work together using
those techniques to tackle some particularly challenging problems. Students may
find this class helpful in preparing for the Putnam Exam, a national
college mathematics competition given in early December. Prerequisites: Any 200-level mathematics course or
permission of the instructor.
98513 |
MATH 317 Graph Theory |
Maria Belk |
. T . Th . |
10:30
- 11:50 am |
RKC
101 |
MATC |
Graph theory is a branch of mathematics that has applications
in areas ranging from operations research to biology. This course is a survey of the theory and applications of graphs.
Topics will be chosen from among connectivity, trees, Hamiltonian and Eulerian
paths and cycles; isomorphism and reconstructability; planarity, coloring,
color-critical graphs and the four-color theorem; intersection graphs, vertex
and edge domination; matchings and network flows, matroids and their
relationship with optimization, and random graphs. Several applications of graph theory will be discussed in
depth.
Prerequisites: Math
231 or permission of the instructor.
98512 |
MATH 323 Dynamical Systems |
James Belk |
M . W . . |
3:00-4:20
pm |
HEG
106 |
MATC |
An introduction to the theory of discrete
dynamical systems. Topics to be covered include iterated functions,
bifurcations, chaos, fractals and fractal dimension, complex functions, Julia
sets, and the Mandelbrot set. We will make extensive use of computers to
model the behavior of dynamical systems. Prerequisite: Mathematics
261 or permission of the instructor.
98124 |
MATH 361 Real Analysis |
Sam Hsiao |
. T . Th . |
2:30
– 3:50 pm |
HEG
106 |
MATC |
The fundamental ideas of analysis in
one-dimensional Euclidean space are studied. Topics covered include the
completeness of the real numbers, sequences, Cauchy sequences, continuity,
uniform continuity, the derivative, and the Riemann integral. As time permits
other topics may be considered, such as infinite series of functions or metric
spaces. Prerequisite: Mathematics
261 or permission of the instructor.
98126 |
MATH 433 Advanced Linear Algebra |
Greg Landweber |
. . . . F |
1:00
– 3:30 pm |
ALBEE
106 |
MATC |
This course covers the rigorous theory of
abstract vector spaces over arbitrary fields. It will start with a discussion
of dual spaces, direct sums, tensor products, spaces of homomorphisms and
endomorphisms, inner product spaces, and quadratic forms. It will then move on
to multilinear algebra, discussing symmetric and exterior powers, before
turning to the Jordan canonical form and related topics. Other more advanced
topics include Hilbert spaces, elementary functional analysis, modules,
algebras, symplectic linear algebra, supersymmetry, and K-theory. Prerequisites:
Math 261 and
Math 332.