# Course Offerings

**Jump to:**- Winter 2019
- Fall 2018
- Spring 2018

## Winter 2019▲

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 - 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

### 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

### Calculus II

**MATH 102 - Abrams, Aaron D.**

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

### Calculus II

**MATH 102 - Colbert, Cory H.**

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

### 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.

### Introduction to Statistics

**MATH 118 - McRae, Alan**

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.

### FS: First-Year Seminar

**MATH 180A - McRae, Alan**

First-year seminar.

Winter 2019, MATH 180A-01: FS: Close Encounters with the Impossible (3). First-year Seminar. Prerequisite: First-Year class standing only. Are you the type of person who embraces the contradictory? Is the word "impossible" not in your vocabulary? Would it surprise you to learn that you are keeping good company with, wait, hold your breath, mathematicians? Don't mathematicians shun contradictions and the impossible? Well some of the greatest discoveries in mathematics were the result of flirting with the contradictory (parallel lines meet, giving rise to perspective in art) and the impossible (the fourth dimension, curved space, infinity . . . ). Would you like to learn how to take a solid ball, cut it up into six pieces and, without deforming or changing the shape of any of those pieces, put them back together to get TWO solid balls, each the same size as the original? 2 = 1?! You don't need to be traditionally mathy (the Urban Dictionary says "mathy" is a word) to enjoy this course. (SC) McRae .

### Multivariable Calculus

**MATH 221 - Feldman, Nathan S.**

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

### Linear Algebra

**MATH 222 - Dresden, Gregory P.**

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 - Colbert, Cory H.**

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

### Dimensions of Art and Math

**MATH 239 - Abrams, Aaron D. / Tamir Tamir, Rotem Z.**

In this studio course, we explore subject matters from the interface of mathematics and art by combining mathematical principles and artistic sensibilities and processes. We explore the potential synergy between the two disciplines through looking at designs, patterns, dimensions, and forms through two separate prisms, and we try to find ways in which one can be applied to the other.

### Complex Analysis

**MATH 303 - Hardy, Stephen R.**

Algebra of complex numbers, polar form, powers, and roots. Derivatives and geometry of elementary functions. Line integrals, the Cauchy Integral Theorem, the Cauchy Integral formula, Taylor and Laurent Series, residues, and poles. Applications.

### Mathematical Statistics

**MATH 310 - Denne, Elizabeth J.**

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

### Real Analysis II

**MATH 312 - Dresden, Gregory P.**

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

### Real Analysis II

**MATH 312 - Beanland, Kevin J.**

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 - Bush, Michael R.**

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

### Modern Geometry

**MATH 342 - Denne, Elizabeth J.**

A survey of recent developments in geometry. Topics vary and may include such subjects as the geometry of curves and surfaces, singularity and catastrophe theory, geometric probability, integral geometry, convex geometry, and the geometry of space-time.

### Combinatorics

**MATH 363 - Dymacek, Wayne M.**

Topics include counting methods, permutations and combinations, binomial identities, recurrence relations. generating functions, special sequences, partitions, and other topics as time and student interest permit.

### Directed Individual Study

**MATH 401 - McRae, Alan**

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

Winter 2019, MATH 401-01: Art + Mathematics (1). No prerequisite. We explore how artists have been inspired by mathematical concepts. The connection between the worlds of mathematics and art can be direct, as between geometry and perspective or between symmetry and geometric patterns. But often the connections are not as direct, as when Cantor's theories about infinity alongside the discovery of non-Euclidean geometries precipitated a crisis in the foundations of mathematics, which influenced M.C. Escher. This crisis was further exacerbated by Gödel's computational proofs, inspiring Alan Turing to invent the electronic computer, paving the way to digital art. McRae.

### Directed Individual Study

**MATH 401 - McRae, Alan**

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

Winter 2019, MATH 401-02: Directed Individual Study - Actuary Exam IFM Preparation (1). Prerequisite: Instructor consent. Individual conferences. A study of problem-solving techniques in preparation for the Society of Actuaries Exam IFM, which covers derivatives markets. McRae .

W inter 2019, MATH 401-03: Directed Individual Study - Steinhaus Graphs (1). Prerequisite: Instructor consent. Dymacek.

### Directed Individual Study

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

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

### Directed Individual Study

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

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

Winter 2019, MATH 401-04: Directed Individual Study - Group Representation Theory(1). Prerequisite: Instructor consent. Individual conferences. Bush

### Directed Individual Study

**MATH 402 - McRae, Alan**

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

### Honors Thesis

**MATH 493 - Beanland, Kevin J.**

Honors Thesis.

## 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 - 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101-02: Calculus I (3). An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.(FM) Dymacek.

### 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101-03: Calculus I (3). An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.(FM) Dymacek.

### 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101-04: Calculus I (3). An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.(FM) Denne.

### 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101-05: Calculus I (3). An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.(FM) Denne.

### Calculus I

**MATH 101 - 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101-06: Calculus I (3). An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.(FM) Feldman.

### Calculus I

**MATH 101 - Colbert, Cory H.**

An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101-07: Calculus I (3). An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.(FM) Staff.

### Calculus I

**MATH 101 - 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. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101-08: Calculus I (3). An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem.(FM) Feldman.

### Calculus I

**MATH 101B - Finch-Smith, Carrie E.**

An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. Sections meet either 3 or 4 days a week, with material in the latter presented at a more casual pace.

Fall 2018, MATH 101B-01: Calculus I for Beginners: A First Course (3). Prerequisite: Instructor consent. This section meets 4 hours a week and is restricted to and specially tailored for those who are beginning their study of calculus. Students who have already seen calculus, yet wish to retake it, must register for MATH 101, 101E, or 101F instead of 101B. An introduction to the calculus of functions of one variable, including a study of limits, derivatives, extrema, integrals, and the fundamental theorem. (FM) Hardy.

### Calculus II

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

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

### Calculus II

**MATH 102 - Colbert, Cory H.**

### 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 - McRae, Alan**

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

### Multivariable Calculus

**MATH 221 - Bush, Michael R.**

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

### Linear Algebra

**MATH 222 - Hardy, Stephen R.**

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 - Beanland, Kevin J.**

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.

### Real Analysis I

**MATH 311 - Finch-Smith, Carrie E.**

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.

### Ordinary Differential Equations

**MATH 332 - Feldman, Nathan S.**

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.

### Directed Individual Study

**MATH 401 - Beanland, Kevin J.**

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

Fall 2018, MATH 401-01: Directed Individual Study - Putnam Prep (1). Prerequisite: Instructor consent. This problem-solving course prepares students to take the Putnam exam. Students must take the exam to pass the course. Bush.

### Directed Individual Study

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

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

Fall 2018, MATH 401-02: Directed Individual Study - Topics in Number Theory (1). Prerequisite: Instructor consent. A study of number theory, Galois groups, and continued fractions, with an emphasis on understanding the relationship between polynomials and groups. Dresden.

### Directed Individual Study

**MATH 401 - Finch-Smith, Carrie E.**

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

### Honors Thesis

**MATH 493 - Beanland, Kevin J.**

Honors Thesis.

## 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 .