19329 |
MATH 107 Topics in Geometrical Math |
Ethan Bloch |
M . W . . |
10:30 -11:50 am |
HEG
102 |
MATC |
Geometrical mathematics involves many topics other
than traditional Euclidean geometry. This course explores topics that vary from
semester to semester and may include some, but not all of the following:
symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, and
higher dimensions. Prerequisite: eligibility for Q courses and a
willingness to explore new ideas and construct convincing arguments is a
necessity.
19328 |
MATH 110 Precalculus Mathematics |
Maria Belk |
M . W . . |
3:00
pm -4:20 pm |
OLINLC
115 |
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.
19330 |
MATH 141
A Calculus I |
Cliona Golden |
M . W . . |
9:00 -10:20 am |
HEG
106 |
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.
19070 |
MATH 141
B Calculus I |
Ethan Bloch |
. T . Th . |
2:30
pm -3:50 pm |
HEG
102 |
MATC |
Se
above.
19071 |
MATH 141
C Calculus I |
Cliona Golden |
M . W . . |
10:30 -11:50 am |
HEG
106 |
MATC |
Se
above.
19072 |
MATH 142
A Calculus II |
Samuel Hsiao |
. T . Th . |
1:00
pm -2:20 pm |
RKC
111 |
MATC |
|
|
|
. . . . F |
1:00
pm -2:00 pm |
RKC
111 |
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.
19073 |
MATH 142
B Calculus II |
Maria Belk |
M . W . . |
10:30 -11:50 am |
ALBEE
106 |
MATC |
|
See
above. |
|
. . . . F |
10:30 -11:30 am |
ALBEE
106 |
MATC |
19327 |
MATH 191 String Theory |
Gregory Landweber |
. . W . F |
3:00
pm -4:20 pm |
HEG
102 |
MATC |
This class will introduce the mathematical ideas
underlying string theory, a theory of particle physics which supposes that the
fundamental constituents of matter and energy are not points, but rather tiny
strings or loops. No prior background in physics is required. We will read and
discuss several popular books on string theory as a means to motivate concepts
from the entire mathematical curriculum. These ideas include: complex numbers, quaternions,
and their generalizations; Taylor series and Fourier series; spaces of
dimensions 4 and higher; the geometry and topology of two dimensional surfaces;
non-commutative algebra; and supersymmetry. Prerequisites: Mathematics 141 or
the equivalent.
19074 |
MATH 212
A Calculus III |
John Cullinan |
. T . Th . |
9:00 -10:20 am |
HEG
102 |
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.
19076 |
MATH 242
A Linear Algebra With applications |
Gregory Landweber |
. T . Th . |
1:00
pm -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.
19077 |
MATH 242
B Linear Algebra With
Applications |
Jules Albertini |
M . . . . .
.W . . |
3:00
pm -4:20 pm 4:30
pm - 5:50 pm |
RKC
101 RKC
101 |
MATC |
See
above.
19078 |
MATH 261
A Proofs and Fundamentals |
Samuel Hsiao |
. 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.
19079 |
MATH 261
B Proofs and Fundamentals |
Lauren Rose |
M . W . . |
1:30
pm -2:50 pm |
HEG
106 |
MATC |
See
above.
19332 |
MATH / CMSC 303 Computational Geometry |
Mary Krembs |
. T . . . |
1:00
pm -2:20 pm |
RKC
100 |
MATC |
Cross listed: Computer Science This class will cover a variety of topics
from computational geometry. Focus will be given to computational complexity of
the algorithms presented as well as appropriate data structures. Topics may
include Voronoi
Diagrams, convex hull calculations, line segment intersections and more.
Pre-requisites: Math 212, Math 242 and some programming knowledge.
19333 |
MATH 319 Probability and Statistics |
Cliona Golden |
. T . Th . |
9:00 -10:20 am |
ALBEE
106 |
MATC |
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 considered will include random variables and
their distributions, the Central Limit Theorem, hypothesis testing. Prerequisites:
Math 212. Some
knowledge of Linear Algebra is helpful. For students
concentrating in economics, Math 319 can substitute for Economics 229.
19331 |
MATH 321 Partial Differential Equations |
John Cullinan |
. T . Th . |
1:00
pm -2:20 pm |
RKC
102 |
MATC |
This course is an introduction to the theory of
partial differential equations. The primary focus is the derivation and
solutions of the main examples in the subject rather than on the existence and
uniqueness theorems and higher analysis. Topics include hyperbolic and
elliptic equations in several variables, Dirichlet problems, the Fourier and Laplace transform,
Green's functions.
19081 |
MATH 332 Abstract Algebra |
James Belk |
. T . Th . |
2:30
pm -3:50 pm |
RKC
102 |
MATC |
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.
19334 |
MATH 432 Advanced Algebra: Galois Theory |
Lauren Rose |
. T . Th . |
10:30 -11:50 am |
ALBEE
106 |
MATC |
This
course is a continuation of Mathematics 332.
The primary goal is to develop the Galois theory of fields. Toward that end we study the theory of field
extensions including algebraic extensions, automorphisms of fields, splitting
fields, and separable extensions. As
time permits we may develop some topics in advanced group theory such as series
of groups and the Sylow theorems. Prerequisites: Mathematics 331 and 332, or permission of the
instructor.
19335 |
MATH 454 Knot Theory |
Ethan Bloch |
M . W . . |
1:30
pm -2:50 pm |
ALBEE
106 |
MATC |
Knot
theory is an active branch of contemporary mathematics that, similarly to
number theory, involves many problems that are easy to state but
difficult to solve; unlike number theory, knot theory involves a lot of
visual reasoning. Knot theory is a branch of topology, but it also
has applications to aspects of biology, chemistry and physics (though for
lack of time these applications will not be discussed in class).
This course is an introduction to the theory of knots and links.
Topics include methods of knot tabulation, knot diagrams, Reidemeister
moves, invariants of knots, knots and surfaces, and knot
polynomials. Prerequisites: Math 351 or Math 361, or
permission of instructor.