Courses Related to Digital and Computational Studies Winter 2015

 

MATH 225. Number Theory.

The theory of numbers is concerned with the properties of the integers, one of the most basic mathematical sets. Seemingly naive questions of number theory stimulated much of the development of modern mathematics and still provide rich opportunities for investigation. Topics studied include classical ones such as primality, congruences, quadratic reciprocity, and Diophantine equations, as well as more recent applications to cryptography. Additional topics such as computational methods, elliptic curves, or an introduction to analytic methods may be included. Prerequisite(s): MATH 205. Course renumbered from MATH s45N beginning Winter 2015. Not open to students who have received credit for MATH s45N.

MATH 355A. Numerical Analysis.

This course studies the best ways to perform calculations that have already been developed in other mathematics courses. For instance, if a computer is to be used to approximate the value of an integral, one must understand both how quickly an algorithm can produce a result and how trustworthy that result is. While students implement algorithms on computers, the focus of the course is the mathematics behind the algorithms. Topics may include interpolation techniques, approximation of functions, solving equations, differentiation and integration, solution of differential equations, iterative solutions of linear systems, and eigenvalues and eigenvectors. Prerequisite(s): MATH 106 and 205. Enrollment limited to 25.

PHIL-321H (Assumed course number; actual number may be different). Computational Modeling, Autonomous Robots, and Embodied Cognition.

This course explores current research models in embodied cognition and artificial intelligence that use simulations, robotics, and genetic algorithms to explore flexible and adaptive behaviors constitutive of our conception of intelligence. These approaches provide alternative models for intelligent behavior that challenge traditional representational and computational theories of mind. This course includes a lab in which students use hands robotics exercises to explore the ideas they encounter in the class. Topics covered include: the nature of intelligence, the computational theory of mind, representation, embodied cognition, behavior-based robotics, biorobotics modeling, dynamic systems, neural networks, genetic algorithms, and philosophical questions surrounding the use of computer simulations and robotics as research tools in psychology and cognitive science. No prior programming experience is necessary. New Course for Winter 2015.

PHYS 231. Laboratory Physics I/Lab.

Students perform selected experiments important in the development of contemporary physics. They also are introduced to the use of computers, electronic instruments, machine tools, and vacuum systems. Prerequisite(s): PHYS 108 or FYS 274, and PHYS 211, 222, or s30. Enrollment limited to 12. [S] [L] [Q] Normally offered every year.