Kevin J. Mitchell
Ph.D., Brown University, 1980
Department of Mathematics and Computer Science
Hobart and William Smith Colleges
Geneva, New York 14456
Office: Lansing 305
Phone: (315) 781-3619
Fax: (315) 781-3860
Image: Hobart College in the 1870s (NY Public Library)
Graduation 2015: Nan Zhang, Danyu Li, Pamela Eck, and Alana Kilcullen
Information about recent and current courses:
Photos: Logic Lane (Oxford, England), Euclid Av (Toronto),
Polygon Road (London) and Pythagoras on the exterior of the
New South Wales Museum of Art (Sydney, Australia)
Students Desiring Letters of Recommendation:
Please read the information about the
Department's Policy regarding requests for letters of recommendation.
Introduction to Biostatistics, 3rd Ed (Waveland Press)
is an accessible and complete introduction for students to the use of statistics in the
biological sciences. Designed for sophomore- and junior-level students, there are examples throughout the text
taken from many areas in the life sciences, including genetics, physiology, ecology, agriculture, and medicine.
This text emphasizes the relationships among probability, probability distributions, and hypothesis testing.
We have highlighted the expected value of various test statistics under the null and research hypotheses
as a way to understand the methodology of hypothesis testing. In addition, we have incorporated
nonparametric alternatives to many situations along with the standard parametric analysis. New with this
edition is an online companion guide to using R,
a free online statistical program, with the text.
The text is also available in a
Chinese language edition. Look here for the earlier
Foundations of Analysis,
Second Edition is published by Dover Publications (ISBN-10: 048646296X, ISBN-13: 978-0486462967) and is available at Amazon.com at the
link above. The text was originally published by
Prentice-Hall (Pearson Education, Inc., ISBN 013326679-6).
This is a revised, corrected edition with different pagination.
Table of Contents:
- Chapter 1: The Real Number System
- Chapter 2: Functions, Limits, and Continuity
- Chapter 3: Differentiation and Integration
- Chapter 4: Sequences and Series
- Chapter 5: Calculus in Two Dimensions
- Chapter 6: Line Integrals and Green's Theorem
- Chapter 7: Complex Analysis
This text is an introduction to basic analysis. It presents a careful
development of the real number system and the theory of calculus on the real
line followed by extensions of the theory to the real and the complex planes.
The text is designed to be a first encounter with rigorous, formal mathematics
for serious mathematics students with a year of calculus. A desire to investigate
how calculus is put together and what makes it tick is the primary prerequisite
for reading this book. Among the text's student-friendly features are extended
discussions of key ideas, detailed proofs of difficult theorems, and reinforcement
of basic ideas through repeated exposure to them in different contexts.
Foundations of Analysis has been used for more than
a decade in a course at Hobart and William Smith Colleges. The course has calculus
and linear algebra as prerequisites and is generally taken by sophomores and juniors.
Foundations of Analysis is available directly from Dover
Additional information is available here.
Revised article on the use of the Point-Centered
Quarter Method to calculate plant density.
This document is an introduction to the use of the point-centered
quarter method. It briefly outlines its
history, its methodology, and some of the practical issues that inevitably arise
with its use in the field. Additionally this paper shows how data collected using
quarter method sampling may be used to determine importance values of different
species of trees and describes several methods of estimating plant density
and corresponding confidence intervals.
Presentation from a Seaway section meeting of the MAA
Information and Resources for the Queensland, Australia Term (2001)
Sign in entrance to an alley in Granada, Spain.
Attempting to identify fish in the Coral Gardens at Lady Elliott
Island while directing the Term Abroad Program for HWS
in Queensland, Australia.
Hobart and William Smith Colleges: Department of Mathematics and Computer Science