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Graduate Special Topics

The following table contains a list of all graduate special topics courses offered by the School of Math within the last 5 years. More information on courses offered in the current/upcoming semester follows below. 

 

Mathematical Capillarity

This will be an introduction to the mathematical shape and stability conditions used to study liquids filling thin tubes, drops resting on plates, and suspended drops hanging from various solid structures. Configurations of floating objects may also be discussed.

 

Crosslisted with Math 8803-MCU.

Nonlinear Algebra

This is a course that introduces a few tools of Nonlinear Algebra with the view toward solving systems of polynomial equations. Apart from regular components (such as HW and exams), applied problems from various areas (automatic theorem proving, robotics, computer vision, systems biology/chemistry, etc.) will be assigned as group projects.

 

1. Systems of polynomial equations

2. Numerical homotopy continuation

3. Rings, ideals, and Gr¨obner bases

4. Algebra-geometry correspondence

Measure Theory for Scientists and Engineers

An introduction to measure theory and Lebesgue integration with a focus on topics that tend to be of the most utility in science and engineering. The three course series MATH 6579, 6580, and 6221 is designed to provide a high level mathematical background for engineers and scientists.

 

This course is equivalent to MATH 6337. Students should not be able to obtain credit for both MATH 6579 and MATH 6337.

Mathematical Foundations of Data Science

Modern data science methods and the mathematical foundations: linear regression, classification and clustering, kernel methods, regression trees and ensemble methods, dimension reduction.

College Algebra

Study of the properties of algebraic, exponential, and logarithmic functions as needed for pre-calculus and calculus.

Probability Theory

This course is a mathematical introduction to probability theory, covering random variables, moments, multivariate distributions, law of large numbers, central limit theorem, and large deviations.

MATH 3215, MATH 3235, and MATH 3670 are mutually exclusive; students may not hold credit for more than one of these courses. 

Mathematical Problem Solving

Pass/Fail basis. This course is intended to teach general mathematical problem solving skills, and to prepare students to take the Putnam Examination.

Undergraduate Seminar

Pass/fail basis.

This course provides students with a broad exposure to areas of mathematics research through weekly speakers.

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