This course presents a study of quantum mechanics as applied to chemistry. Specific topics include general quantum theory; the time-independent Schrodinger equation applied to electronic, vibrational, and rotational energy states; valence bond and molecular orbital theory; and molecular symmetry. This course is offered every other year. Prerequisites: CHEM 126. Corequisite: one year of physics. MATH 112 is highly recommended.
This seminar studies the empirical testing of economic models. The seminar's focus will vary depending on the instructor. Possible topics include instrumental variable analysis, time series analysis, panel data analysis, or limited dependent variables. Each student will undertake and report on a research project. This course counts as an Economics Department seminar.Prerequisites: a semester of college statistics; ECON 101, ECON 102, and ECON 205; or permission of the instructor.
This course focuses on choosing, fitting, assessing, and using statistical models. Simple linear regression, mulitple regression, analysis of variance, general linear models, logistic regression, and discrete data analysis will provide the foundation for the course. Classical interference methods that rely on the normality of the error terms will be thoroughly discussed, and general approaches for dealing with data where such conditions are not met will be provided. For example, distribution-free techniques and computer-intensive methods, such as bootstrapping and permutation tests, will be presented. Students will use statistical software throughout the course to write and present statistical reports. The culminating project will be a complete data analysis report for a real problem chosen by the student. The MATH 106-206 sequence provides a thorough foundation for statistical work in economics, psychology, biology, political science, and many other fields. Prerequisite: MATH 106 or MATH 116. Offered every spring.
Coding theory, or the theory of error-correcting codes, and cryptography are two recent applications of algebra and discrete mathematics to information and communications systems. The goals of this course are to introduce students to these subjects and to understand some of the basic mathematical tools used. While coding theory is concerned with the reliability of communication, the main problem of cryptography is the security and privacy of communication. Applications of coding theory range from enabling the clear transmission of pictures from distant planets to quality of sound in compact disks. Cryptography is a key technology in electronic security systems. Topics likely to be covered include basics of block coding, encoding and decoding, linear codes, perfect codes, cyclic codes, BCH and Reed-Solomon codes, and classical and public-key cryptography. Other topics may be included depending on the availability of time and the background and interests of the students. Other than some basic linear algebra, the necessary mathematical background (mostly abstract algebra) will be covered within the course. Prerequisite: MATH 224, or permission of the instructor. Offered every two to three years.
This course presents an introduction to computer programming intended both for those who plan to take further courses in which a strong background in computation is desirable and for those who are interested in learning basic programming principles. The course will expose the student to a variety of applications where an algorithmic approach is natural and will include both numerical and non-numerical computation. The principles of program structure and style will be emphasized. Offered every semester. SCMP 118 is crosslisted with mathematics for diversification purposes.
This capstone course is intended to provide an in-depth experience in computational approaches to science. Students will work on individual computational projects in various scientific disciplines. This year the course will focus on applications of parallel computing using Kenyon's Beowulf-class computing cluster and other resources at the Ohio Supercomputer Center. Prerequisites: MATH 118 or PHYS 270, completion of at least 0.50 unit of an "intermediate" course and at least 0.50 unit of a contributory course, junior or senior standing, and permission of the instructor and the program director.