# Teaching

I have taught a range of courses at various institutions, as detailed below. Consistent with research on effective teaching practices, I focus on creating an environment in which students can actively engage with the course material. I have participated in a number of professional development activities related to teaching, including Project NExT (New Experiences in Teaching). I am currently active in the Greater Upstate New York Inquiry-Based Learning Consortium.

Students in my classes can find course information on Canvas.

## Courses taught at Niagara University

Introductory Statistics (MAT 102), Fall 2015 (two sections), Spring 2017 (two sections), Fall 2019 (two sections), Spring 2020 (two sections), Spring 2021, Fall 2021 (two sections), Fall 2022 (two sections)

A study of the basic terminology and methods of elementary statistics including organization of data, measures of central tendency and dispersion, sampling theory, estimation and testing of hypotheses. Also includes an introduction to correlation and linear regression.

## Business Calculus I (MAT 107), Spring 2022, Spring 2024

An introduction to calculus with primary emphasis on applications to business and economics. Topics include algebra, problem solving, functions including exponential and logarithmic, mathematics of finance, systems of linear equations, differentiation, and applications of differentiation.

Calculus I (MAT 111), Fall 2015, Spring 2017, Fall 2017, Spring 2018 (two sections), Fall 2018, Spring 2019 (two sections)

A study of functions, limits, continuity, differentiation, applications of differentiation and an introduction to integration.

Calculus II (MAT 112), Fall 2020, Spring 2022

A study of integration, techniques of integration, applications of integration and an introduction to infinite sequences and series.

## Calculus III (MAT 221), Fall 2021, Fall 2022

A study of vectors, vector algebra, analytic geometry in three-space, partial differentiation, multiple integration, sequences and series.

Foundations of Mathematics (MAT 227), Fall 2020

A study of the algebra of sets, relations, functions, cardinality, selected topics of number theory, prepositional logic and number systems.

Linear Algebra (MAT 228), Spring 2016, Spring 2018, Spring 2020, Spring 2024

A study of vector spaces, linear transformations, matrices, systems of linear equations and determinants.

Algebraic Structures I (MAT 333), Spring 2021

An introduction to the basic structures of modern abstract algebra: groups, rings, integral domains and fields.

Probability and Statistics I (MAT 335), Fall 2017, Fall 2018, Fall 2019, Fall 2020

An introduction to probability including probabilistic experiments and their sample spaces, random variables and their probability distributions, and functions of random variables and their properties. An introduction to the methods of inferential statistics.

Probability and Statistics II (MAT 336), Spring 2019, Spring 2021

A continuation of the methods of inferential statistics. Topics include introductory sampling theory, estimation, confidence intervals and hypothesis testing, experimental design, and analysis of variance. Some nonparametric statistics also introduced.

Euclidean Geometry (MAT 443), Spring 2016

A study of the foundations of geometry including transformations, deductive and inductive reasoning and an introduction to non-Euclidean geometries.

Point-Set and Algebraic Topology (MAT 483), Summer 2017 (independent study)

A study of topics in point-set and algebraic topology, including topological spaces, continuous functions, connectedness, compactness, the fundamental group, and the Seifert-van Kampen Theorem.

## Courses taught at Smith College

Calculus I (MAT 111), Fall 2014 (two sections)

Rates of change, differentiation, applications of derivatives including differential equations and the fundamental theorem of the calculus. Written communication and applications to other sciences and social sciences motivate course content.

Calculus II (MAT 112), Spring 2015 (two sections)

Techniques of integration, geometric applications of the integral, differential equations and modeling, infinite series and approximation of functions. Written communication and applications to other sciences and social sciences motivate course content.

Calculus III (MAT 212), Fall 2014

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two-and three-dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem.

## Courses taught at the University of Oklahoma

Calculus and Analytic Geometry III (MATH 2433), Fall 2011, Fall 2012

Polar coordinates, parametric equations, sequences, infinite series, vector analysis.

Calculus and Analytic Geometry IV (MATH 2443), Spring 2014 (two sections)

Vector calculus; functions of several variables; partial derivatives; gradients, extreme values and differentials of multivariate functions; multiple integrals; line and surface integrals.

Introduction to Ordinary Differential Equations (MATH 3113), Spring 2012 (two sections), Fall 2012, Spring 2013

First order ordinary differential equations, linear differential equations with constant coefficients, two-by-two linear systems, Laplace transformations, phase planes and stability.

Linear Algebra I (MAT 3333), Fall 2013

Systems of linear equations, determinants, finite dimensional vector spaces, linear transformations and matrices, characteristic values and vectors.