# Course Offerings

**Jump to:**- Fall 2018
- Spring 2018
- Winter 2018

## Fall 2018▲

See complete information about these courses in the **course offerings database**. For more information about a specific course, including course type, schedule and location, click on its title.

### Calculus I

**MATH 101 - STAFF / Feldman, Nathan S.**

An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.

### Calculus I

**MATH 101 - Dymacek, Wayne M.**

An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.

### Calculus I

**MATH 101 - Denne, Elizabeth J.**

An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.

### Calculus I

**MATH 101D - Feldman, Nathan S.**

### Calculus I

**MATH 101E - Toporikova, Natalia**

### Calculus II

**MATH 102 - Finch-Smith, Carrie E.**

A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.

### Calculus II

**MATH 102 - STAFF / Feldman, Nathan S.**

A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.

### Discrete Mathematics I

**MATH 121 - Abrams, Aaron D.**

A study of concepts fundamental to the analysis of finite mathematical structures and processes. These include logic and sets, algorithms, induction, the binomial theorem, and combinatorics.

### Multivariable Calculus

**MATH 221 - Beanland, Kevin J.**

Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.

### Multivariable Calculus

**MATH 221 - McRae, Alan**

Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.

### Linear Algebra

**MATH 222 - Finch-Smith, Carrie E.**

Introductory linear algebra: systems of linear equations, matrices and determinants, vector spaces over the reals, linear transformations, eigenvectors, and vector geometry.

### Probability

**MATH 309 - Denne, Elizabeth J.**

Probability, probability density and distribution functions, mathematical expectation, discrete and continuous random variables, and moment generating functions.

### Real Analysis I

**MATH 311 - McRae, Alan**

Basic properties of real numbers, elementary topology of the real line and Euclidean spaces, and continuity and differentiability of real-valued functions on Euclidean spaces.

### Abstract Algebra I

**MATH 321 - Bush, Michael R.**

Groups, including normal subgroups, quotient groups, permutation groups. Cauchy's theorem and Sylow's theorems.

### Ordinary Differential Equations

**MATH 332 - Beanland, Kevin J.**

First and second order differential equations, systems of differential equations, and applications. Techniques employed are analytic, qualitative, and numerical.

### Geometric Topology

**MATH 341 - Abrams, Aaron D.**

A study of the shape of space focusing on characteristics not detected by geometry alone. Topics are approached pragmatically and include point set topology of Euclidean space, map-coloring problems, knots, the shape of the universe, surfaces, graphs and trees, the fundamental group, the Jordan Curve Theorem, and homology.

### Graph Theory

**MATH 361 - Dymacek, Wayne M.**

Graphs and digraphs, trees, connectivity, cycles and traversability, and planar graphs. Additional topics selected from colorings, matrices and eigenvalues, and enumeration.

### Seminar

**MATH 383 - Feldman, Nathan S.**

Readings and conferences for a student or students on topics agreed upon with the directing staff. May be repeated for degree credit if the topics are different. Note: Seminar and research offerings are contingent upon the demonstrated need and aptitude of the student for independent work in mathematics and upon the availability of departmental resources.

### Directed Individual Study

**MATH 401 - Bush, Michael R.**

Individual conferences. May be repeated for degree credit if the topics are different.

## Spring 2018▲

See complete information about these courses in the **course offerings database**. For more information about a specific course, including course type, schedule and location, click on its title.

### Fundamental Concepts of Mathematics

**MATH 301 - Finch-Smith, Carrie E.**

Basic analytical tools and principles useful in mathematical investigations, from their beginning stages, in which experimentation and pattern analysis are likely to play a role, to their final stages, in which mathematical discoveries are formally proved to be correct. Strongly recommended for all prospective mathematics majors.

### Fundamental Concepts of Mathematics

**MATH 301 - Beanland, Kevin J.**

Basic analytical tools and principles useful in mathematical investigations, from their beginning stages, in which experimentation and pattern analysis are likely to play a role, to their final stages, in which mathematical discoveries are formally proved to be correct. Strongly recommended for all prospective mathematics majors.

### Fundamental Concepts of Mathematics

**MATH 301 - Hardy, Stephen R.**

Basic analytical tools and principles useful in mathematical investigations, from their beginning stages, in which experimentation and pattern analysis are likely to play a role, to their final stages, in which mathematical discoveries are formally proved to be correct. Strongly recommended for all prospective mathematics majors.

### The Mathematics of Puzzles and Games

**MATH 369 - Dymacek, Wayne M.**

The application of mathematics to puzzles and games. A brief survey on the designs of tournaments. The puzzles and games include but are not limited to the Rubik's Cube, poker, blackjack, and peg solitaire.

### Seminar

**MATH 383 - Abrams, Aaron D.**

Readings and conferences for a student or students on topics agreed upon with the directing staff. May be repeated for degree credit if the topics are different. Note: Seminar and research offerings are contingent upon the demonstrated need and aptitude of the student for independent work in mathematics and upon the availability of departmental resources.

Spring 2018, MATH 383-01: Seminar: Mathematics of Tilings (4). Prerequisites: MATH 321 or instructor consent. Tilings are among the oldest and most recognizable geometric patterns in the world. The mathematical study of tilings overlaps with combinatorics, geometry, algebra, analysis, number theory, and topology. This seminar explores several aspects of the mathematics of tilings, including open problems of current research interest. Abrams .

## Winter 2018▲

See complete information about these courses in the **course offerings database**. For more information about a specific course, including course type, schedule and location, click on its title.

### Calculus I

**MATH 101 - McRae, Alan**

### Calculus II

**MATH 102 - Dymacek, Wayne M.**

A continuation of MATH 101, including techniques and applications of integration, transcendental functions, and infinite series.

### Calculus II

**MATH 102 - Hardy, Stephen R.**

### Calculus II

**MATH 102 - Finch-Smith, Carrie E.**

### Introduction to Statistics

**MATH 118 - Hardy, Stephen R.**

Elementary probability and counting. Mean and variance of discrete and continuous random variables. Central Limit Theorem. Confidence intervals and hypothesis tests concerning parameters of one or two normal populations.

### Discrete Mathematics I

**MATH 121 - Keller, Mitchel T. (Mitch)**

A study of concepts fundamental to the analysis of finite mathematical structures and processes. These include logic and sets, algorithms, induction, the binomial theorem, and combinatorics.

### Multivariable Calculus

**MATH 221 - Beanland, Kevin J.**

Motion in three dimensions, parametric curves, differential calculus of multivariable functions, multiple integrals, line integrals, and Green's Theorem.

### Linear Algebra

**MATH 222 - Denne, Elizabeth J.**

Introductory linear algebra: systems of linear equations, matrices and determinants, vector spaces over the reals, linear transformations, eigenvectors, and vector geometry.

### Linear Algebra

**MATH 222 - Finch-Smith, Carrie E.**

Introductory linear algebra: systems of linear equations, matrices and determinants, vector spaces over the reals, linear transformations, eigenvectors, and vector geometry.

### Financial and Actuarial Mathematics

**MATH 270 - McRae, Alan**

Topics include the time value of money, the force of interest, annuities, yield rates, amortization schedules, bonds, contracts, options, swaps, and arbitrage. Equal emphasis is given to both the theoretical background and to the computational aspects of interest theory. This course helps prepare students for the Financial Mathematics actuary exam.

### Mathematical Statistics II

**MATH 310 - Dresden, Gregory P.**

Sampling distributions, point and interval estimation, testing hypotheses, regression and correlation, and analysis of variance.

### Real Analysis II

**MATH 312 - Abrams, Aaron D.**

Riemann integration, nature and consequences of various types of convergence of sequences and series of functions, some special series, and related topics.

### Abstract Algebra II

**MATH 322 - Dymacek, Wayne M.**

Rings, including ideals, quotient rings, Euclidean rings, polynomial rings. Fields of quotients of an integral domain. Further field theory as time permits.

### Abstract Algebra II

**MATH 322 - Finch-Smith, Carrie E.**

Rings, including ideals, quotient rings, Euclidean rings, polynomial rings. Fields of quotients of an integral domain. Further field theory as time permits.

### Partial Differential Equations

**MATH 333 - Feldman, Nathan S.**

An introduction to the study of boundary value problems and partial differential equations. Topics include modeling heat and wave phenomena, Fourier series, separation of variables, and Bessel functions. Techniques employed are analytic, qualitative, and numerical.

### Calculus on Manifolds

**MATH 345 - Denne, Elizabeth J.**

This course builds on material from both multivariable calculus and linear algebra. Topics covered include: manifolds, derivatives as linear transformations, tangent spaces, inverse and implicit function theorems, integration on manifolds, differential forms, and the generalized Stokes's Theorem.

### Directed Individual Study

**MATH 401 - Dresden, Gregory P.**

Individual conferences. May be repeated for degree credit if the topics are different.

Winter 2018, MATH 401-01: Topics in Continued Fractions (1). Prerequisite: Instructor consent required . A further study of number theory and continued fractions, with an emphasis on understanding the relationship between the roots of polynomials, and the collection of continued fractions with common tails. Dresden .

### Directed Individual Study

**MATH 401 - Dymacek, Wayne M.**

Individual conferences. May be repeated for degree credit if the topics are different.

Winter 2018, MATH 401-02: Military Engineering (1). Prerequisite: Instructor consent required. Graded course. Dymacek.

### Directed Individual Study

**MATH 401 - Dresden, Gregory P.**

Individual conferences. May be repeated for degree credit if the topics are different.

Winter 2018, MATH 401-03: Actuary Exam P Preparation (1). Prerequisite: Instructor consent required . A study of problem-solving techniques in preparation for the Society of Actuaries Exam P, whioch covers statistics and probabilty. Dresden.

### Directed Individual Study

**MATH 403 - McRae, Alan**

Individual conferences. May be repeated for degree credit if the topics are different.

Winter 2018, MATH 403-01: Directed Individual Study: Derivatives Markets (3). Prerequisite: Instructor consent. This course is designed to prepare students for Exam MFE (Models for Financial Economics) from the Society of Actuaries. McRae .

### Directed Individual Study

**MATH 403 - Keller, Mitchel T. (Mitch)**

Individual conferences. May be repeated for degree credit if the topics are different.

Winter 2018, MATH 403-02: Directed Individual Study: Number Theory (3). Prerequisite: Instructor consent. A study of the properties of integers. Topics include divisibility, congruences, prime numbers, the Euclidean algorithm, the Chinese Remainder Theorem, Fermat's Little Theorem, Euler's Theorem, Euler's phi function, the quadratic reciprocity law, and applications to encryption and data security. Keller .