In this course we will study instantaneous rates of change from both a qualitative geometric and a quantitative analytic perspective. Differential calculus is concerned primarily with the fundamental problem of determining instantaneous rates of change. The first in a three-semester calculus sequence, this course covers the basic ideas of differential calculus. Prerequisite or corequisite: MATH 112 (or equivalent) and concurrently enrolled in another MATH, STAT or SCMP course or permission of instructor. This course does not count towards any requirement for the major. The course goals are threefold: 1) to provide an overview of modern mathematics, which, while not exhaustive, will expose students to some exciting open questions and research problems in mathematics 2) to introduce students to some of the mathematical research being done at Kenyon and 3) to answer whatever questions students might have during their first semester here, while exposing them to useful resources and opportunities that are helpful in launching a meaningful college experience. The course includes guest lectures from professors at Kenyon, a panel discussion with upper-class math majors and opportunities to learn about summer experiences and careers in mathematics.
Topics covered will vary from one semester to the next (depending on faculty expertise) but will typically span algebra and number theory, dynamical systems, probability and statistics, discrete mathematics, topology, geometry, logic, analysis and applied math. The first-year seminar in mathematics provides an introduction to the rich and diverse nature of mathematics.
0 kommentar(er)
