AMCS5461 - Adv Applied Probability
The required background is (1) enough math background to understand proof techniques in real analysis (closed sets, uniform covergence, fourier series, etc.) and (2) some exposure to probability theory at an intuitive level (a course at the level of Ross's probability text or some exposure to probability in a statistics class).
AMCS5999 - Independent Study
Independent Study allows students to pursue academic interests not available in regularly offered courses. Students must consult with their academic advisor to formulate a project directly related to the student’s research interests. All independent study courses are subject to the approval of the AMCS Graduate Group Chair.
AMCS9999 - Ind Study & Research
Study under the direction of a faculty member.
GAS6010 - Proseminar in Grad Stud
Graduate Arts and Sciences doctoral students may register for GAS 6010 as an introduction to the methods of graduate study and research. To be conducted by individual graduate group faculty.
MATH0025 - Geometry and Art
This class is about incidence geometry and projective geometry: how lines and
planes intersect, and how to add points to euclidean spaces (the familiar R^2,
R^3, etc.) to obtain a space that include points and lines at infinity. It's
also about art, and how classical artists used projective geometry, sometimes
without knowling they were doing so, to create perspective drawings that render
three-dimensional space on a canvas in a way our eyes intuitively understand.
The projective geometry content will be at times pretty mathy. We use axiom
systems, figure out what's true about them, prove theorems, and construct
abstract spaces that are models for the axioms.
The applications to art will be very hands-on. Expect to sketch a lot, to draw
lines on existing pieces of art or sample drawings, and to look at physical
objects and attempt to capture them in perspective drawings.
If you think of yourself as a bad artist (as I do) it shouldn't matter: we're
all going to take a major step forward in one technical aspect of art, namely
how to get the lines right in perspective drawings. If you have no real math
background, or are even a bit math-phobic, that shouldn't matter either. No
math background beyond algebra and trigonometry is necessary. All that is
required is willingness to try your hand at logic, to learn the structure of
mathematical argument, and to harness your geometric intuition.
MATH1070 - Mathematics of change, Part I
Limits, orders of magnitude, differential and integral calculus; Taylor polynomials; estimating and bounding; probability densities. Mathematical modeling and applications to the social, economic and information sciences.
MATH1080 - Mathematics of change, Part II
Multivariate calculus; optimization; multivariate probability densities. Introduction to linear algebra; introduction to differential equations. Mathematical modeling and applications to the social, economic and information sciences.
MATH1100 - Calculus for Wharton Students
Differential calculus, integral calculus, series, differential equations and elements of multivariable calculus, with an emphasis on applications.
MATH4990 - Supervised Study
Study under the direction of a faculty member. Intended for a limited number ofmathematics majors.
MATH5460 - Adv Applied Probability
The required background is (1) enough math background to understand proof techniques in real analysis (closed sets, uniform covergence, fourier series, etc.) and (2) some exposure to probability theory at an intuitive level (a course at the level of Ross's probability text or some exposure to probability in a statistics class).
MATH5810 - Topics in Combinatorial
Variable topics connected to current research in combinatorial theory. Recent topics include algebraic combinatorics and symmetric functions, analytic combinatorics and discrete probability.
MATH5999 - Independent Study
Study under the direction of a faculty member. Hours to be arranged.
MATH6480 - Probability Theory
Measure theoretic foundations, laws of large numbers, large deviations, distributional limit theorems, Poisson processes, random walks, stopping times.
MATH6490 - Stochastic Processes
Continuation of MATH 6480/STAT 9300, the 2nd part of Probability Theory for PhD students in the math or statistics department. The main topics include Brownian motion, martingales, Ito's formula, and their applications to random walk and PDE.
MATH8710 - Logic Seminar
Seminar on current and recent literature in logic.
MATH8780 - Prob & Algorithm Sem
Seminar on current and recent literature in probability and algorithms.
MATH8810 - Combinatorics Seminar
Seminar on current and recent literature in combinatorics.
STAT9300 - Probability Theory
Measure theoretic foundations, laws of large numbers, large deviations, distributional limit theorems, Poisson processes, random walks, stopping times.
STAT9310 - Stochastic Processes
Continuation of MATH 6480/STAT 9300, the 2nd part of Probability Theory for PhD students in the math or statistics department. The main topics include Brownian motion, martingales, Ito's formula, and their applications to random walk and PDE.
