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 E-mail: mitchell@hws.edu Vita Image: Hobart College in the 1870s (NY Public Library)

Graduation 2015: Nan Zhang, Danyu Li, Pamela Eck, and Alana Kilcullen

- MATH 130: Calculus I (Fall '16)
- MATH 204: Linear Algebra (Spring '16)
- MATH 131: Calculus II (Fall '15)

An 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 hardcover edition.

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 or from Amazon.com.

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 point-centered 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.

- 2001 Queensland Term Abroad Program Post Card Index
- Queensland, Australia Term Fall 2001
- Index to the online 2001 QUEENSLAND TERM WILDLIFE FIELD GUIDE created by the student participants.
- PCQM Calculator: Point-Center Quarter Method Analysis and Importance Values
- Species Density Calculator
- Species Area Relation: Plotting and Analysis Tool as well as Background Information.
- Shannon-Weiner Diversity Calculator: James Ryan's (Department of Biology at Hobart and William Smith Colleges) Applet for Computing Species Diversity.

- The Hobart and William Smith Colleges Home Page
- Department of Mathematics and Computer Science Home Page
- Term Abroad in Australia, 2001 Index
- Post Cards from the 1998 HWS Trip to Australia
- Term Abroad in Queensland 1996, Australia
- Term Abroad in Queensland 1994, Australia

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

Copyright © 2002-2011

Author: Kevin Mitchell (mitchell@hws.edu)

Department of Mathematics and Computer Science

Copyright © 2002-2011

Author: Kevin Mitchell (mitchell@hws.edu)