# Michael Olinick

## Professor of Mathematics

molinick@middlebury.edu

work(802) 443-5559

Spring 2022: Monday, Wednesday, & Friday 12:15 PM - 2:30 PM in Room 206 of 75 Shannon St

75 Shannon 102L

**Degrees, Specializations & Interests:**

A.B., University of Michigan; M.A., Ph.D., University of Wisconsin;

## Courses

Courses offered in the past four years.

▲ *indicates offered in the current term*

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

##### MATH 0223 - Multivariable Calculus ▲ ▹

**Multivariable Calculus**

The calculus of functions of more than one variable. Introductory vector analysis, analytic geometry of three dimensions, partial differentiation, multiple integration, line integrals, elementary vector field theory, and applications. (MATH 0122 and MATH 0200 or by waiver) 3 hrs. lect./disc. **DED**

Spring 2019, Spring 2020, Fall 2021, Spring 2022, Fall 2022

##### MATH 0225 - Topics in Linear Alg & Diff Eq

**Topics in Linear Algebra and Differential Equations**

Topics may include diagonalization of matrices, quadratic forms, inner product spaces, canonical forms, the spectral theorem, positive matrices, the Cayley-Hamilton theorem, ordinary differential equations of arbitrary order, systems of first-order differential equations, power series, and eigenvalue methods of solution, applications. (MATH 0200 or by waiver) 3 hrs. lect./disc. **DED**

Spring 2018, Fall 2018, Fall 2019, Spring 2020

##### MATH 0226 - Differential Equations ▲ ▹

MATH 0226, Differential Equations

This course provides an introduction into ordinary differential equations (ODEs) with an emphasis on linear and nonlinear systems using analytical, qualitative, and numerical techniques. Topics will include separation of variables, integrating factors, eigenvalue method, linearization, bifurcation theory, and numerous applications. In this course, we will introduce MATLAB programming skills and develop them through the semester. (MATH 0200 or by waiver) (formerly MATH 0225) 3 hrs. lect./disc. **DED**

Spring 2022, Fall 2022

##### MATH 0315 - Mathematical Modeling

**Mathematical modeling**

An introduction into the process of developing and interpreting mathematical models within the framework of numerous applications. In this course, we will utilize discrete, continuous, and probabilistic approaches to explore applications such as population dynamics, epidemiology, and neuron activity. Time permitting, we may also introduce the derivation of spatiotemporal models. MATLAB will be used to implement and analyze several of these models. (MATH 0200 and MATH 0225 or MATH 0226, or by instructor approval) 3 hrs. lect./disc **CW DED**

Fall 2018

##### MATH 0318 - Operations Research

**Operations Research**

Operations research is the utilization of quantitative methods as an aid to managerial decisions. In the course, several of these methods will be introduced and studied in both a mathematical context and a physical context. Topics included will be selected from the following: classification of problems and the formulation of models, linear programming, network optimization, transportation problems, assignment problems, integer programming, nonlinear programming, inventory theory, and game theory. (MATH 0200 or waiver) **DED**

Fall 2019

##### MATH 0432 - Elementary Topology

**Elementary Topology**

An introduction to the concepts of topology. Theory of sets, general topological spaces, topology of the real line, continuous functions and homomorphisms, compactness, connectedness, metric spaces, selected topics from the topology of Euclidean spaces including the Jordan curve theorem. (MATH 0122 or by waiver) 3 hrs. lect./disc. **DED**

Spring 2019

##### 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.

Spring 2018, Fall 2018, Spring 2019, Fall 2019, Spring 2020, Fall 2020, Spring 2021, Fall 2021, Spring 2022, Fall 2022, Spring 2023

##### MATH 0715 - Advanced Math Modeling Seminar

**Advanced Mathematical Modeling Seminar**

A tutorial on advanced mathematical model building and analysis for students who have completed work in Differential Equations and Probability. We will study deterministic and stochastic models of interacting populations with a focus on mathematical ecology and epidemiology. Working independently and in small groups, students will gain experience reading advanced sources and communicating their insights in expository writing and oral presentations. Fulfills the capstone senior work requirement for the mathematics major. (Approval Only) 3 hrs. Sem. **DED**

Spring 2018, Fall 2019, Fall 2021