# John Emerson

## Charles A. Dana Emeritus Professor of Mathematics

jemerson@middlebury.edu

work(802) 443-5589

Davis Family Library 351

**Degrees, Specializations & Interests:**

A.B., University of Rochester; M.S., Ph.D., Cornell University; (Statistical methods, Data Analysis, Biostatistics)

## Courses

Courses offered in the past four years.

▲ *indicates offered in the current term*

▹ *indicates offered in the upcoming term[s]*

##### MATH 0121 - Calculus I

**Calculus I**

Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization problems and related rates, the indefinite and definite integral, area under a curve, and the fundamental theorem of calculus. Inverse functions and the logarithmic and exponential functions are also introduced along with applications to exponential growth and decay. 4 hrs. lect./disc. **DED**

Fall 2015

##### MATH 0310 - Probability

**Probability**

An introduction to the concepts of probability and their applications, covering both discrete and continuous random variables. Probability spaces, elementary combinatorial analysis, densities and distributions, conditional probabilities, independence, expectation, variance, weak law of large numbers, central limit theorem, and numerous applications. (concurrent or prior MATH 0223 or MATH 0200 or by waiver) 3 hrs. lect./disc. **DED**

Fall 2015

##### MATH 0500 - Advanced Study

**Advanced Study**

Individual study for qualified students in more advanced topics in algebra, number theory, real or complex analysis, topology. Particularly suited for those who enter with advanced standing. (Approval required) 3 hrs. lect./disc.

Fall 2015, Winter 2016, Spring 2016, Winter 2017, Winter 2018, Winter 2019

#### Recent Publications

Moses, L.E., Emerson, J.D., and Hosseini, H. "Analyzing Data from Ordered Categories." In J.C. Bailar III and D. Hoaglin, Eds., *Medical Uses of Statistics*,* 3rd Ed.,* Hoboken, NJ: Wiley. 2009, 311-323.

Agarwal, S., Colditz, G.A., and Emerson, J.D. "Use of Statistical Analysis in the New England Journal of Medicine." In J.C. Bailar III and D. Hoaglin, Eds., *Medical Uses of Statistics*, * 3rd Ed.,* Hoboken, NJ: Wiley. 2009, 41-49.

Emerson, J.D., Brooks, R.L., and McKenzie, E.C. "College Sports and Student Achievement: The Evidence at Small Colleges." In *Data-Driven Decision-Making in Intercollegiate Athletics. *New Directions in Institutional Research, edited by J.L. Hoffman, J.S. Antony, and D.D. Alfaro. San Francisco: Jossey-Bass, No. 144, 2009, 65-76.