Teaching
Fall Semester 2024
Semester: Fall
Offered: 2024
Introduction to calculus, including functions, limits, continuity, derivatives and applications of the derivative, sketching of graphs of functions, introduction to definite and indefinite integrals, and calculation of area. The course is especially recommended for science and mathematics majors. Credit will be granted for only one of the following: MATH 140 or MATH 136 or MATH 120.
Prerequisites are permission of the department based on 3 1/2 years of college preparatory mathematics (including trigonometry) and either a satisfactory score on the mathematics placement examination or completion of Math 115 with a grade of C or better.
Semester: Fall
Offered: 2024
Introduction to the basic concepts in mathematical finance for undergraduate students with a strong mathematical background particularly in probability theory. The focus is on mathematical methods in pricing of derivative securities, portfolio management, and on related questions of mathematical finance. Some emphasis is placed on the Black-Scholes formula and its applications to the pricing of options.
Semester: Fall
Offered: 2024
This is an introduction to topology for qualified undergraduates. Metric spaces, topological spaces, connectedness, compactness (including Heine-Borel and Bolzano-Weierstrass theorems), Cantor sets, continuous maps and homeomorphisms, fundamental group (homotopy, covering spaces, the fundamental theorem of algebra, Brouwer fixed point theorem), surfaces (e.g., Euler characteristic, the index of a vector field, hairy sphere theorem), elements of combinatorial topology (graphs and trees, planarity, coloring problems).
Summer Session 2024
Semester: Summer I
Offered: 2024
The course provides an introduction to linear algebra and matrix theory. It is intended primarily for engineering students. This course cannot be used toward the upper level math requirements for MATH/STAT majors. Credit will be granted for only one of the following: MATH 240, MATH 341, or MATH 461.