COMP112 Introduction to Programming

The course will provide an introduction to a modern, high-level programming language including a discussion of input/output, basic control structures, types, functions, and classes. The lectures will also discuss a variety of algorithms as well as program design issues.



The second meeting time for each section is a computer lab.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

COMP112Z Introduction to Programming

This course will provide an introduction to imperative programming including a discussion of variables, basic control structures, and functions, with other topics as time permits. The lectures will also discuss a variety of algorithms as well as program design issues. The language is typically a standard high-level language like Java or Python, but the choice is up to the instructor, and may differ between different COMP 112 sections.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

COMP113 Bioinformatics Programming

This course is an introduction to bioinformatics and programming for students with interest in the life sciences. It introduces problem areas and conceptual frameworks in bioinformatics. The course assumes little or no prior programming experience and will introduce the fundamental concepts and mechanisms of computer programs and examples (e.g., sequence matching and manipulation, database access, output parsing, dynamic programming) frequently encountered in the field of bioinformatics.
Offering: Crosslisting
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-BIOL
Identical With: BIOL265, MB&B265, CIS265
Prereq: [MB&B181 or BIOL181]

COMP114 How to Talk to Machines

How do we tell robots and computers how to do what they do? Getting a handle on this question is the goal of this course. Since telling a device how to do something depends a lot on what that device can do, along the way we will learn a bit about what is "in the box." We will start with the kind of programming one might use to instruct a robot how to interact with the world around it. That will lead us to the Turing machine, a beautiful mathematical model of a computer. We will adapt that model to something that is closer to how most computer systems today are designed. We will end with an introduction to high-level programming, learning the fundamentals of programming in a language such as Python or Java.



The goal of the course is to understand not just programming, but how computers are designed, and how those designs are reflected in the way we program them. After passing this course, students will have a basic knowledge of programming and how a computer works. COMP 114 can be used to satisfy the COMP 211 prerequisite and also the mathematics major "elementary knowledge of algorithms and computer programming" requirement.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

COMP114Z How to Talk to Machines

How do we tell robots and computers how to do what they do? Getting a handle on this question is the goal of this course. Since telling a device how to do something depends a lot on what that device can do, along the way we will learn a bit about what is "in the box." We will start with the kind of programming one might use to instruct a robot how to interact with the world around it. That will lead us to the Turing machine, a beautiful mathematical model of a computer. We will adapt that model to something that is closer to how most computer systems today are designed. We will end with an introduction to high-level programming, learning the fundamentals of programming in a language such as Python or Java.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

COMP115 How to Design Programs

In this course, students will learn to systematically design programs, going from a problem statement to a well-organized solution in a step-by-step fashion. We will apply these program design skills to many applications within computer science and in other disciplines. Students will develop their mathematical skills, because we will use a symbolic view of computation that explains the process of running a program as simple manipulations of its text. Students will also develop their technical reading and writing skills, such as understanding complex problem descriptions and precisely articulating the design of solutions. No prior experience with programming or computer science is expected.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

COMP116 Introduction to Programming and Machine Knitting

Knitting is a fabrication technique with a long history, producing items from everyday garments to e-textiles. Since the invention of the first knitting machine in 1589, knitting technology has evolved significantly, leading to the sophisticated computerized knitting machines we use today. This course serves as an introduction to programming, computer science, and machine knitting, especially for students interested in textile design and making. Students will learn imperative programming using a high-level programming language, covering topics such as data types, control structures, functions, and objects. We will also cover how to program and operate a knitting machine. No prior knowledge in programming or knitting is required. This course provides an equivalent introduction to programming to COMP 112/113/114/115 and will satisfy any requirements or prerequisites that those courses satisfy.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-IDEA, NSM-MATH
Prereq: None

COMP131F Can Machines Think? (FYS)

This course is a freshman seminar (an FYS course) that introduces students to foundational ideas in logic, formal languages, and computation that have been the basis of a revolution in thinking in the 20th century. The material includes a substantial logic component and an introduction to programming in SML, a so-called functional programming language, as well as readings about the philosophical impact of these ideas.



The impact of the new cycle of ideas mentioned above has been felt far beyond the confines of the computer science community. Ideas from logic, computation, and other branches of mathematics formerly regarded as "pure" have spread to computation, linguistics, cognitive science, and philosophy; conversely, results from philosophy, linguistics, and other areas have been applied in computer science. New "non-traditional" logics have found unexpected applications in computing.



Traditionally, the background in logic and computation upon which these ideas rest has been taught in advanced courses, although much of it is accessible to students with little or no background in the area (but some willingness to learn formal reasoning and mathematical arguments). Students will learn about the underpinnings of recent technical advances in these areas at an unusually early stage in their careers. We will learn how to code basic programs in SML as well. The course will continue with readings in expository texts about the impact and philosophical significance of important ideas in logic and computation. Some readings in Philosophy of Mind will be assigned and discussed.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

COMP211 Computer Science I

This is the first course in a two-course sequence (COMP211-212) that is the gateway to the computer science major. It is intended for prospective computer science majors and others who want an in-depth understanding of programming and computer science. Topics to be covered in COMP211-212 include an introduction to the fundamental ideas of programming in imperative and functional languages, correctness and cost specifications, and proof techniques for verifying specifications.



Specifics such as choice of programming language, which topics are covered in which semesters, etc., will vary according to the tastes of the faculty offering the courses.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP112 OR COMP113 OR COMP114 OR COMP115

COMP212 Computer Science II

This is the second course in a two-course sequence (COMP211-212) that is the gateway to the computer science major. It is intended for prospective computer science majors and others who want an in-depth understanding of programming and computer science. Topics to be covered in COMP211-212 include an introduction to the fundamental ideas of programming in imperative and functional languages, correctness and cost specifications, and proof techniques for verifying specifications.



Specifics such as choice of programming language, which topics are covered in which semesters, etc., will vary according to the tastes of the faculty offering the courses.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP211

COMP260 Special Topics in Computer Science

This course is designed for nonmajors who wish to pursue some topic in computer science beyond introduction to programming. Topics will vary according to the instructor.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: QAC260
Prereq: COMP112

COMP260A Software Design and Engineering

Programming is only one ingredient for creating industry-grade software. Eliciting requirements from stakeholders, modeling the architecture of a system, selecting appropriate development tools, and testing and maintaining a codebase are some of the aspects that elevate programming to software engineering. Focusing on the development of mobile and web apps, students in this course will gain expertise in common front-end and back-end technologies as well as related tooling. We will also cover the organization of software projects and their social implications, which are so important to recognize for the modern software engineer.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: COMP112

COMP260B Scientific Computing

This course will introduce students from various disciplines to computing as applied to scientific problems. The course aims to provide a theoretical background in computational sciences and insight in understanding how popular algorithms and advances in hardware are used to solve problems drawn from chemistry, physics, biology, and bioinformatics. Topics covered will include simulation techniques, analysis of trajectories, clustering, probabilistic modeling, networks, artificial intelligence, neural networks, population dynamics, and high-performance computing.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP211

COMP266 Bioinformatics

This course is an introduction to bioinformatics for students with interest in the life sciences. The course is similar to BIOL265 but only meets in the second half of the semester (with BIOL265) and is designed for students with programming background, ideally in Python. The course introduces problem areas and conceptual frameworks in bioinformatics and discusses programming approaches used in bioinformatics such as sequence matching and manipulation algorithms using dynamic programming, clustering analysis of gene expression data, analysis of genetic nets using Object Oriented Programming, and sequence analysis using Hidden Markov Models, Regular Expressions, and information theory.
Offering: Crosslisting
Grading: A-F
Credits: 0.50
Gen Ed Area: NSM-BIOL
Identical With: BIOL266, MB&B266, CIS266
Prereq: [MB&B181 OR BIOL181]

COMP301 Automata Theory and Formal Languages

This course is an introduction to formalisms studied in computer science and mathematical models of computing machines. The language formalisms discussed will include regular, context-free, recursive, and recursively enumerable languages. The machine models discussed include finite-state automata, pushdown automata, and Turing machines.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP500
Prereq: COMP211 AND COMP212 AND MATH228

COMP312 Algorithms and Complexity

The course will cover the design and analysis of efficient algorithms. Basic topics will include greedy algorithms, divide-and-conquer algorithms, dynamic programming, and graph algorithms. Some advanced topics in algorithms may be selected from other areas of computer science.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP510
Prereq: COMP212 AND MATH228

COMP321 Design of Programming Languages

This course is an introduction to concepts in programming languages. Topics include parameter passing, type checking and inference, control mechanisms, data abstraction, module systems, and concurrency. Basic ideas in functional, object-oriented, and logic programming languages will be discussed.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP521
Prereq: COMP212 AND MATH228

COMP323 Programming Language Implementation

This course is an introduction to the implementation of programming languages.

Students will learn how to formally describe and implement major components of the implementation pipeline. Topics may include lexical analysis and parsing (checking whether source code is well-formed and converting it to an internal programmatic representation), type-checking and -inference (static program analysis for safety features), interpretation (direct execution of a high-level language program), and compilation (translation to a low-level language such as assembly or bytecode).
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP523
Prereq: COMP212 AND MATH228

COMP324 Program Analysis

Program analysis refers to techniques for describing program behavior as well as detecting "bad" behavior before execution or preventing it during execution. This course focuses specifically on information flow, where the goal is to ensure that secure or confidential information (such as passwords) is not transmitted to insecure or public channels. The course will cover techniques for describing program execution, how we describe permissible information flow, and dynamic (runtime) and static (compile-time) enforcement techniques.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP325 Logic and Functional Program Languages

Functional Programming Languages (Lisp, Scheme, ML, ocaml, Haskell, and many others) and Logic Programming Languages (Prolog, lambda-Prolog, etc.) have been developed within mathematical frameworks based on Logic. In this course, we will explore the basic structure of functional and logic programming languages starting from the Mathematical Logic foundation that gave rise to them. This will give some deep and interesting insights into present and (likely) future programming language design.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP327 Evolutionary and Ecological Bioinformatics

Bioinformatic analysis of gene sequences and gene expression patterns has added enormously to our understanding of ecology and evolution. For example, through bioinformatic analysis of gene sequences, we can now reconstruct the evolutionary history of physiology, even though no traces of physiology exist in the fossil record. We can determine the adaptive history of one gene and all the gene's descendants. We can now construct the evolutionary tree of all of life. Bioinformatics is particularly promising for analysis of the ecology and biodiversity of microbial communities, since well over 99 percent of microorganisms cannot be cultured; our only knowledge of these organisms is through analysis of their gene sequences and gene expression patterns. For example, even when we cannot culture most of a microbial community, we can determine which metabolic pathways are of greatest significance through analysis of community-level gene expression. All these research programs are made accessible not only by breakthroughs in molecular technology but also by innovation in the design of computer algorithms. This course, team-taught by an evolutionary biologist and a computer scientist, will present how bioinformatics is revolutionizing evolutionary and ecological investigation and will present the design and construction of bioinformatic computer algorithms underlying the revolution in biology. Students will learn algorithms for reconstructing phylogeny, for sequence alignment, and for analysis of genomes, and students will have an opportunity to create their own algorithms.
Offering: Crosslisting
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-BIOL
Identical With: BIOL327, BIOL527, COMP527, CIS327
Prereq: [BIOL182 or MB&B182] OR [BIOL196 or MBB196] OR COMP112 OR COMP211

COMP331 Computer Structure and Organization

The purpose of the course is to introduce and discuss the structure and operation of digital computers. Topics will include the logic of circuits, microarchitectures, microprogramming, conventional machine architectures, and an introduction to software/hardware interface issues. Assembly language programming will be used to demonstrate some of the basic concepts.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP531
Prereq: COMP212

COMP332 Computer Networks

This course will provide an introduction to the fundamentals of computer networks. Computer networks have become embedded in our everyday lives, from the Internet to cellular phones to cloud networking, enabling applications such as email, texting, web browsing, on-demand video, video conferencing, peer-to-peer file sharing, social networking, cloud computing, and more. This course will delve into the infrastructure and protocols that have allowed computer networks to achieve their current ubiquity. While the primary focus of the course will be on the Internet's architecture, protocols, and applications, we will also touch on other types of computer networks. Programming assignments will be done using Python; prior knowledge of Python is not required.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 and MATH228

COMP333 Software Engineering

Software engineering is the application of engineering principles to the software development process. Eliciting requirements from stakeholders, designing the architecture of a program, performing usability studies, and testing a codebase are some of the aspects that elevate program development to software engineering. Focusing on web and mobile apps, students in this course will gain expertise in state-of-the-art frontend, backend, and mobile technologies, as well as related tooling. We will also cover the collaborative organization of software projects, software licensing, software business models, and ethical considerations for professional software engineers.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: IDEA333
Prereq: COMP211 AND COMP212

COMP334 Information Security and Privacy

This course explores principles and practical applications of computer security and privacy. Some of the topics covered include static and dynamic code analysis, secure authentication, privacy enhancing technologies, usable privacy and security, and web tracking. We will also touch upon theoretical areas, such as basic cryptographic concepts as well as differential privacy. The course has the objective to provide students with the conceptual knowledge and technical skills to identify and resolve privacy and security issues in the design, development, and evaluation of information systems.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP341 Artificial Intelligence

This course is an introduction to creating programs that appear to behave intelligently. Topics will include search algorithms for problem solving, as well as probabilistic reasoning, including regression, classification, and decision making. Sample topics include Bayesian networks, basic neural networks and reinforcement learning.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP343 Machine Learning

This course will provide an introduction to machine learning. The field of machine learning studies how to design systems that learn from experience. We will cover fundamental concepts and algorithms used in machine learning, as well as give an introduction to basic probability and statistics. Sample topics include regression, classification, Bayesian networks, Gibbs sampling, particle filtering, maximum likelihood estimation, neural networks, deep learning, clustering, bias/variance trade-offs, cross-validation, and practical advice. Programming assignments will be done using Python; prior knowledge of Python is not required.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP350 Computational Media: Videogame Development

This course examines the interplay of art and science in the development of contemporary videogames using the Unity development platform and commercial artistic game tools. Students develop a comprehensive understanding of computational media, including legal and commercial aspects, combined with hands-on experience in a creative process that integrates design, art, and coding. There will be discussions with invited industry leaders in various subject areas. Students will have the opportunity to work as part of development teams and create working prototypes to better understand the challenges and rewards of producing graphic interactive software within a professional context.
Offering: Crosslisting
Grading: A-F
Credits: 2.00
Gen Ed Area: NSM-IDEA
Identical With: IDEA350, FILM250, CIS350
Prereq: None

COMP353 Robotics

Students will use hands-on projects, building and programming Arduino-based robots to learn about the field of robotics. Topics will include perception, locomotion, localization, common programming frameworks for robotics, and ethical considerations. Some background in electronics and mechanical construction may be helpful but is not required.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: IDEA353
Prereq: COMP211

COMP355 Computational Design and Fabrication

This course introduces students to computational design and fabrication, which is an exciting application of computing and lays the foundation for the future manufacturing industry. We will focus on how computing can support computational design and also working with fabrication technologies such as 3D printing and laser cutting. Lecture topics include hardware abstraction languages, geometry processing fundamentals, physics-based simulation, optimization techniques, and data-driven design methods. Hands-on activities will complement lectures, providing practical experience with fabrication hardware and software tools. No prior knowledge of fabrication is required. Some background in linear algebra (MATH 221 Vectors and Matrices or MATH 223 Linear Algebra) is helpful but not necessary. Students who have not taken one these classes may want to do some reading before the course or be prepared to learn some of that material as the course progresses.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: IDEA355
Prereq: COMP212 AND MATH228

COMP360 Special Topics in Computer Science: Information Security and Privacy

This course explores principles and practical applications of computer security and privacy. Some of the topics covered include static and dynamic code analysis, secure authentication, privacy enhancing technologies, usable privacy and security, and web tracking. We will also touch upon theoretical areas, such as basic cryptographic concepts as well as differential privacy. The course has the objective to provide students with the conceptual knowledge and technical skills to identify and resolve privacy and security issues in the design, development, and evaluation of information systems.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP360A Special Topics in Computer Science

The course will be an introduction to automated reasoning for computer science. Decision procedures for the satisfiability of formulas of propositional logic and of various fragments of first-order equational theories will be covered. For the application part of the course, students will use the automated modeling tool Alloy to design and analyze software systems. Student work will include both mathematical exercises and programming exercises.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP360B Special Topics in Computer Science

This course covers special topics in computer science. Topics will vary according to the instructor.



Spring 2026 topic: This course will give an introduction to quantum computing, cryptography, and communication from a computer science perspective. Basic concepts such as qubits, entanglement, teleportation, quantum gates, and quantum measurements will be introduced, and key algorithms such as Simons', Shor's and Grover's will be covered. This course will additionally involve some coding using Qisket. Some background in linear algebra (e.g., MATH 221 or 223) and probability (e.g., MATH 132) is highly recommended, though the basics will be reviewed at the start of the course.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP360C Special Topics in Computer Science

Special Topics in Computer Science
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP360D Special Topics in Computer Science

Special Topics in Computer Science
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP360E Special Topics in Computer Science: Functional Data Structures

Advanced data structures from a functional programming perspective. The focus will be on the use of lazy evaluation as a technique for designing efficient data structures, especially in the presence of persistence (when the state of the structure must be preserved even after updates). Assessment will consist primarily of programming and written assignments.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP360G Special Topics in Computer Science: High Performance Scientific Computing

Students will learn about high performance computing techniques as applied to scientific computations. We will work on Wesleyan's high performance computing (HPC) cluster, gaining familiarity with the HPC environment including the BASH shell and the multiuser queueing system for job submissions. We will design and implement high performance python code, including how to take advantage of parallel processing in central processing units (CPUs) and graphical processing units (GPUs).

We will consider the AMBER molecular dynamics package as a case study of a professional high performance computing package illustrating highly performant code optimized at many levels, and survey a selection of other packages for comparison. The final project will enable students to explore the major themes of the course as applied to their particular areas of interest.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: COMP212 AND MATH228

COMP360H Topics in Computer Science: Static Program Analysis

Static program analysis refers to a collection of techniques for analyzing source code to predict execution behavior. It is used for areas such as compiler optimization, programming error detection, and security analysis. This course will focus on the latter two areas, to explore fundamental techniques and concepts. There will be foundational and programming work centered around a medium-scale project.



This course may be used to satisfy the PL Core Area requirement for the COMP major.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: COMP212 AND MATH228

COMP361 Advanced Topics in Computer Science

This course covers advanced topics in Computer Science. The precise topics will vary with the offering, but will typically have prerequisites beyond COMP 211-212. This course may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228 AND COMP212

COMP401 Individual Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP402 Individual Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP403 Department/Program Project or Essay

Project to be arranged in consultation with the tutor.
Offering: Host
Grading: A-F

COMP404 Department/Program Project or Essay

Project to be arranged in consultation with the tutor.
Offering: Host
Grading: A-F

COMP407 Senior Tutorial (downgraded thesis)

Downgraded Senior Thesis Tutorial - Project to be arranged in consultation with the tutor. Only enrolled in through the Honors Coordinator.
Offering: Host
Grading: A-F

COMP408 Senior Tutorial (downgraded thesis)

Downgraded Senior Thesis Tutorial - Project to be arranged in consultation with the tutor. Only enrolled in through the Honors Coordinator.
Offering: Host
Grading: A-F

COMP409 Senior Thesis Tutorial

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP410 Senior Thesis Tutorial

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP411 Group Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP412 Group Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP419 Student Forum

Student-run group tutorial, sponsored by a faculty member and approved by the chair of a department or program.
Offering: Host
Grading: Cr/U

COMP420 Student Forum

Student-run group tutorial, sponsored by a faculty member and approved by the chair of a department or program.
Offering: Host
Grading: Cr/U

COMP421 Undergraduate Research, Sciences

Individual research projects for undergraduate students supervised by faculty members.
Offering: Host
Grading: A-F

COMP422 Undergraduate Research, Sciences

Individual research projects for undergraduate students supervised by faculty members.
Offering: Host
Grading: OPT

COMP423 Advanced Research Seminar, Undergraduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP424 Advanced Research Seminar, Undergraduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP465 Education in the Field, Undergraduate

Students must consult with the department and class dean in advance of undertaking education in the field for approval of the nature of the responsibilities and method of evaluation.
Offering: Host
Grading: OPT

COMP468 Independent Study, Undergradua

Offering: Host
Grading: OPT

COMP469 Education in the Field, Undergraduate

Students must consult with the department and class dean in advance of undertaking education in the field for approval of the nature of the responsibilities and method of evaluation.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

COMP491 Teaching Apprentice Tutorial

The teaching apprentice program offers undergraduate students the opportunity to assist in teaching a faculty member's course for academic credit.
Offering: Host
Grading: OPT

COMP492 Teaching Apprentice Tutorial

The teaching apprentice program offers undergraduate students the opportunity to assist in teaching a faculty member's course for academic credit.
Offering: Host
Grading: OPT

COMP500 Automata Theory and Formal Languages

This course is an introduction to formalisms studied in computer science and mathematical models of computing machines. The language formalisms discussed will include regular, context-free, recursive, and recursively enumerable languages. The machine models discussed include finite-state automata, pushdown automata, and Turing machines.
Offering: Crosslisting
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP301
Prereq: COMP211 AND COMP212 AND MATH228

COMP501 Individual Tutorial, Graduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP502 Individual Tutorial, Graduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP503 Selected Topics, Graduate Sciences

Topic to be arranged in consultation with the tutor. A seminar primarily concerned with papers taken from current research publications designed for, and required of, graduate students.
Offering: Host
Grading: A-F

COMP504 Selected Topics, Graduate Sciences

Topic to be arranged in consultation with the tutor. A seminar primarily concerned with papers taken from current research publications designed for, and required of, graduate students.
Offering: Host
Grading: A-F

COMP510 Algorithms and Complexity

The course will cover the design and analysis of efficient algorithms. Basic topics will include greedy algorithms, divide-and-conquer algorithms, dynamic programming, and graph algorithms. Some advanced topics in algorithms may be selected from other areas of computer science.
Offering: Crosslisting
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP312
Prereq: COMP212 AND MATH228

COMP511 Group Tutorial, Graduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP512 Group Tutorial, Graduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP521 Design of Programming Languages

This course is an introduction to concepts in programming languages. Topics include parameter passing, type checking and inference, control mechanisms, data abstraction, module systems, and concurrency. Basic ideas in functional, object-oriented, and logic programming languages will be discussed.
Offering: Crosslisting
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP321
Prereq: COMP212 AND MATH228

COMP523 Programming Language Implementation

This course is an introduction to the implementation of programming languages.

Students will learn how to formally describe and implement major components of the implementation pipeline. Topics may include lexical analysis and parsing (checking whether source code is well-formed and converting it to an internal programmatic representation), type-checking and -inference (static program analysis for safety features), interpretation (direct execution of a high-level language program), and compilation (translation to a low-level language such as assembly or bytecode).
Offering: Crosslisting
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP323
Prereq: COMP212 AND MATH228

COMP527 Evolutionary and Ecological Bioinformatics

Bioinformatic analysis of gene sequences and gene expression patterns has added enormously to our understanding of ecology and evolution. For example, through bioinformatic analysis of gene sequences, we can now reconstruct the evolutionary history of physiology, even though no traces of physiology exist in the fossil record. We can determine the adaptive history of one gene and all the gene's descendants. We can now construct the evolutionary tree of all of life. Bioinformatics is particularly promising for analysis of the ecology and biodiversity of microbial communities, since well over 99 percent of microorganisms cannot be cultured; our only knowledge of these organisms is through analysis of their gene sequences and gene expression patterns. For example, even when we cannot culture most of a microbial community, we can determine which metabolic pathways are of greatest significance through analysis of community-level gene expression. All these research programs are made accessible not only by breakthroughs in molecular technology but also by innovation in the design of computer algorithms. This course, team-taught by an evolutionary biologist and a computer scientist, will present how bioinformatics is revolutionizing evolutionary and ecological investigation and will present the design and construction of bioinformatic computer algorithms underlying the revolution in biology. Students will learn algorithms for reconstructing phylogeny, for sequence alignment, and for analysis of genomes, and students will have an opportunity to create their own algorithms.
Offering: Crosslisting
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-BIOL
Identical With: BIOL327, COMP327, BIOL527, CIS327
Prereq: [BIOL182 or MB&B182] OR [BIOL196 or MBB196] OR COMP112 OR COMP211

COMP531 Computer Structure and Organization

The purpose of the course is to introduce and discuss the structure and operation of digital computers. Topics will include the logic of circuits, microarchitectures, microprogramming, conventional machine architectures, and an introduction to software/hardware interface issues. Assembly language programming will be used to demonstrate some of the basic concepts.
Offering: Crosslisting
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Identical With: COMP331
Prereq: COMP212

COMP549 Advanced Research Seminar, Graduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP550 Advanced Research Seminar, Graduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

COMP571 Special Topics in Computer Science

Supervised reading course of varying length. This course may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

COMP572 Special Topics in Computer Science

Supervised reading course of varying length. This course may be repeated for credit.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATHINB Indian Baccalaureate Credit

Offering: Host
Grading: Transfer
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH117 Introductory Calculus

This course is designed to introduce basic ideas and techniques of differential calculus. Students should enter with sound precalculus skills but with very limited or no prior study of calculus. Topics to be considered include differential calculus of algebraic, exponential, and logarithmic functions. (Integral calculus will be introduced in MATH118.)
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH118 Introductory Calculus II: Integration and Its Applications

This course continues MATH117 and is designed to introduce basic ideas and techniques of calculus. Students should enter MATH118 with sound precalculus skills and with very limited or no prior study of integral calculus. Topics to be considered include differential and integral calculus of algebraic, exponential, and logarithmic functions.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH119 Elements of Calculus, Part I

This course is the first half of a two-semester calculus sequence (MATH119, MATH120). This sequence is designed for students who have not previously studied calculus. The course, together with MATH120, will cover limits, derivatives, and integrals. Exponential, logarithmic, and trigonometric functions will be introduced and their calculus will be studied. Applications of calculus to biology, economics, physics, and/or other fields will be emphasized.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH120 Elements of Calculus, Part II

This course is the second half of a two-semester calculus sequence. This sequence is designed for students who have not previously studied calculus. The course, together with MATH119, will cover limits, derivatives, and integrals. Exponential, logarithmic, and trigonometric functions will be introduced and their calculus will be studied. Applications of calculus to biology, economics, physics, and/or other fields will be emphasized.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH119

MATH121 Calculus I

MATH121, together with MATH122, will cover both theoretical and practical aspects of limits, derivatives, and integrals; the calculus of exponential, logarithmic, trigonometric, and inverse trigonometric functions; techniques of integration; plane analytic geometry; various applications of calculus; and sequences and series, including power series and intervals of convergence.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH122 Calculus II

The continuation of MATH121. Topics covered include techniques and applications of integration and an introduction to sequences and series.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH123F Mathematical Deduction with Calculus (FYS)

This course is a first-year seminar (FYS). Topics covered include techniques and applications of integration and an introduction to sequences and series, with an emphasis on mathematical writing. Weekly papers will be required.It is suitable for students who have already taken calculus and are interested in pursuing the mathematics major. Students may not receive credit for both MATH 122 and MATH 123.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH121

MATH132 Elementary Statistics

Topics included in this course are organizing data, central measures, measures of variation, distributions, sampling, estimation, conditional probability (Bayes' theorem), hypothesis testing, simple regression and correlation, and analysis of variation.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH133 Intermediate Statistics

This class continues the study of statistics begun in MATH 132. Topics will include experimental design, ANOVA, multiple regression, non-parametric tests, and further topics as time permits. This course is an ideal continuation for students who have taken MATH 132 or who got a 4 or 5 on the AP Statistics exam and who wish to deepen their statistics knowledge.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH132

MATH134F Mathematical Thinking (FYS)

In this course we seek to illustrate for the students that mathematics is an organic way of thinking, with a beauty and elegance of its own, that also includes its essential applications to many concrete physical models. Students will learn the techniques of mathematical writing, as well as take a survey of important mathematical topics.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH211 Problem Solving for the Putnam

This course will explore the problems and problem-solving techniques of the annual William Lowell Putnam mathematical competition. Particular emphasis will be placed on learning to write clear and complete solutions to problems. The competition is open to all undergraduate students.
Offering: Host
Grading: Cr/U
Credits: 0.25
Gen Ed Area: NSM-MATH
Prereq: None

MATH221 Vectors and Matrices

This is a course on the algebra of matrices and vector spaces. It emphasizes a concrete approach to the material. Topics include solving systems of linear equations, vector algebra, matrix algebra, properties of invertible matrices, determinants, the vector space Rn and its subspaces, dimension, and linear transformations. It concludes with a discussion of eigenvalues, eigenvectors, and matrix diagonalization. If time permits, additional topics such as the dot product, the Gram-Schmidt process, and basic aspects of vector spaces will be discussed. MATH 221 and MATH 223 cover very similar material, but they are intended for students with different experience in mathematics. MATH 221 takes a more concrete approach to the material, and it is suitable for students who have not yet engaged with proof-based mathematics. MATH 223 takes a more theoretical approach that is appropriate for students who have taken proof-based math courses already or for students with strong mathematics backgrounds who are willing to learn how to read and write proofs in parallel with linear algebra. MATH 221 and MATH 223 fulfill the same requirement for the mathematics major, and students need only select the option that is best suited to their current background in mathematics.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH122

MATH222 Multivariable Calculus

This course treats the basic aspects of differential and integral calculus of functions of several real variables, with emphasis on the development of calculational skills. The areas covered include scalar- and vector-valued functions of several variables, their derivatives, and their integrals; the nature of extremal values of such functions and methods for calculating these values; and the theorems of Green and Stokes.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH223 Linear Algebra

This is a first course on linear algebra. It emphasizes a theoretical approach to the material. Topics include vector spaces, subspaces, dimension, linear transformations and matrices, determinants, eigenvalues and eigenvectors, and diagonalization of linear operators. If time permits, additional topics such as inner product spaces, Hermitian and unitary transformations, and elementary spectral theory will be discussed. MATH 221 and MATH 223 cover very similar material--they are both linear algebra courses--but they are intended for students with different experience in mathematics. MATH 223 takes a more theoretical approach that is appropriate for students who have taken proof-based math courses already or for students with strong mathematics backgrounds who are willing to learn how to read and write proofs in parallel with linear algebra. MATH 221 takes a more concrete approach to the material, and it is suitable for students who have not yet engaged with proof-based mathematics. MATH 221 and MATH 223 fulfill the same requirement for the mathematics major, and students need only select the option that is best suited to their current background in mathematics.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH122

MATH225 Introduction to Real Analysis

In this rigorous treatment of calculus, topics will include, but are not limited to, real numbers, limits, sequences and series, continuity and uniform continuity, differentiation, the Riemann integral, sequences and series of functions, pointwise and uniform convergence of functions, and interchange of limiting processes. MATH228 or comparable experience in writing mathematical proofs is strongly recommended for success in this course.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: (MATH222 AND MATH221) OR (MATH222 AND MATH223)

MATH226 Complex Analysis

This course will present the basic properties of complex analytic functions. We begin with the complex numbers themselves and elementary functions and their mapping properties, then discuss Cauchy's integral theorem and Cauchy's integral formula and applications, Taylor and Laurent series, zeros and poles and residue theorems, the argument principle, and Rouche's theorem. In addition to a rigorous introduction to complex analysis, students will gain experience in communicating mathematical ideas and proofs effectively.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: (MATH222 AND MATH221) OR (MATH222 AND MATH223)

MATH228 Discrete Mathematics

This course is a survey of discrete mathematical processes. Students will be introduced to the process of writing formal mathematical proofs, including mathematical induction. Topics may include set theory, logic, number theory, finite fields, permutations, elementary combinatorics, or graph theory.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH229 Differential Equations

This course is an introduction to the theory of ordinary differential equations. Topics will include existence and uniqueness theorems as well as techniques to solve systems of equations, with applications in pure mathematics and related fields such as physics, chemistry or biology.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: (MATH221 AND MATH222) OR (MATH222 AND MATH223)

MATH231 An Introduction to Probability

This course teaches the basic theory of probability. Although the notions are simple and the mathematics involved require only a basic knowledge of the ideas of differential and integral calculus, a certain degree of mathematical maturity is necessary. The fundamental concepts to be studied are probability spaces and random variables, the most important ideas being conditional probability and independence. The main theorems we will study are the law of large numbers and the central limit theorem.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH222 AND MATH228

MATH232 Mathematical Statistics

This course covers the basic notions of estimation, hypothesis testing, regression, analysis of variance, experimental design, and other topics in statistics from a rigorous mathematical perspective. This material will be supplemented by various case studies.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH231

MATH233 Stochastic Processes

This course provides a rigorous introduction to the theory of stochastic processes. Topics include a review of basic concepts of probability theory (probability spaces, random variables, expectation), Markov chains, Poisson processes, random walks, and Brownian motion. Students entering the course should have completed MATH231, and be comfortable with multivariable calculus and linear algebra.
Offering: Host
Grading: A-F
Credits: 1.50
Gen Ed Area: NSM-MATH
Prereq: MATH231

MATH241 Set Theory

A course on axiomatic set theory, emphasizing its dual role as a foundation upon which the rest of mathematics can be built, and as a rich subject in its own right, primarily concerned with the nature of the infinite. The axioms of Zermelo-Fraenkel Set Theory (ZFC); the interpretation of mathematical concepts, including the standard number systems, inside set theory; finite, countable, and uncountable sets; cardinal and ordinal numbers and their arithmetic; transfinite induction and recursion; the role of the Axiom of Choice; the cumulative hierarchy of sets.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228

MATH242 Knot Theory

This course is an introduction to topology, the study of space in a general sense. We will approach topology through knot theory, the study of embeddings of a circle in a three-dimensional space.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228

MATH243 Mathematical Logic

This course is an introduction to mathematical logic, including first-order logic and model theory, axiomatic set theory, and, as time permits, Goedel's incompleteness theorem.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228

MATH244 Topology: Point Set

This is an introduction to general topology, the study of topological spaces. We will begin with the most natural examples, metric spaces, and then move on to more general spaces. This subject, fundamental to mathematics, enables us to discuss notions of continuity and approximation in their broadest sense. We will illustrate topology's power by seeing important applications to other areas of mathematics.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228

MATH246 Applied Topology

This course teaches the main concepts in Applied Topology. Students will learn to apply nonlinear methods to analyze the shape of data sets. These approaches are drawn from classical topology and focus on the shape in one of two ways: they either 'measure' it, that is count the occurrences of patterns within the data set; or build combinatorial representations of the data set. As an example of the former, we will look at persistent homology, whereas the latter will be represented by mapper. The topics covered include: basic notions from topology, simplicial complexes (Cech complexes, Vietoris-Rips complexes, etc.), homology, persistent homology and applications, mapper.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH223

MATH247 Applied Linear Algebra

This is a course on topics in linear algebra that are the foundations of modern data science and machine learning. Topics include dimensionality reductions, matrix decompositions, elementary spectral theory, multivariate optimizations, and their applications to machine learning such as gradient descent and support vector machines.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: (MATH221 OR MATH223) AND MATH222

MATH252 Differential Forms

This class will be an introduction to differential forms, a central tool in modern topology, geometry, and physics. The course begins where MATH222 ends, with Green's theorem, the divergence theorem, and Stokes' theorem. All of these theorems are special cases of one theorem, known as the general Stokes' theorem, about integration of differential forms. The objective of the first part of the course will be to understand and prove this theorem. We will then discuss manifolds and what can be learned about them using differential forms, concentrating on de Rham cohomology.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: (MATH221 AND MATH222) OR (MATH222 AND MATH223)

MATH255 Advanced Topics in Real Analysis

Topics to be addressed include convergence of sequences and series of functions, spaces of functions and their topologies, the Lebesgue integral (on the line) and its basic convergence theorems, and Fourier series.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH225

MATH261 Introduction to Abstract Algebra

This course is an introduction to abstract principles based on the special properties of the integers, rational, real and complex numbers. The course will cover general algebraic structures as well as their quotients and homomorphisms, with emphasis on fundamental results about groups and rings.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: (MATH221 AND MATH228) OR (MATH223 AND MATH228)

MATH262 Advanced Topics in Abstract Algebra

This second course in abstract algebra will cover fields and polynomial rings, as well as Galois theory and the insolvability of the quintic polynomial. Additional topics will be covered as time permits.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH261

MATH264 Algebraic Geometry

This course is an introduction to algebraic geometry, the study of the geometric structure of solutions to systems of polynomial equations. These may take the form of lines, circles, parabolas, ellipses, hyperbolas, elliptic curves, leminiscates or Cassini ovals.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH261

MATH265 Mathematics of Quantum Computing

This is a one-semester course introducing students to the mathematics of quantum computing. No prior understanding of quantum mechanics will be assumed. However, the course will rely heavily on material from linear algebra, and will also assume students are familiar with basic concepts from group theory. Classical computers store information in the form of bits -- a binary state of zero or one. In a quantum computer, information is processed in the form of qubits, which can exist not just in these two classical states, but in combinations of these two states -- this is the notion of superposition. In this course, we study how to model the fundamental notions of quantum computing with mathematics, and explore the ways quantum computing may supersede classical computing for certain tasks. The precise topics covered will depend in part on the backgrounds and interests of enrolled students, but primary topics for the course include Bell's inequality, Shor's algorithm, and Grover's search algorithm. Other aspects of quantum computing will be explored as time permits.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: None

MATH271 Error-Correcting Codes

Nowadays messages are sent electronically through different kinds of communication channels. Most of these channels are not perfect and errors are created during the transmission. The object of an error-correcting code is to encode the data so that the message can be recovered if not too many errors have occurred. The goal of this course is to introduce the basic mathematical ideas behind the design of error-correcting codes. It makes use of algebraic techniques involving vector spaces, finite fields, and polynomial rings. These techniques will be developed in this course so that prior knowledge is not necessary.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH221 OR MATH223

MATH272 Elementary Number Theory

This is a course in the elements of the theory of numbers. Topics covered include divisibility, congruences, quadratic reciprocity, Diophantine equations, and a brief introduction to algebraic numbers.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228

MATH273 Combinatorics

This course will present a broad, comprehensive survey of combinatorics. Topics may include partitions, the topic of inclusion-exclusion, generating functions, recurrence relations, partially ordered sets, trees, graphs, and min-max theorems.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228

MATH274 Graph Theory

A graph is a set V of elements called vertices and a set E of pairs of elements of V called edges. From this simple definition, many elegant models have been developed. Indeed, graph theory is essential to applications of computer science to network analysis and planar mapping.

This course will be an introduction to graph theory and its applications.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH228

MATH283 Differential Geometry

This course is an introduction to the classical differential geometry of curves and surfaces in Euclidean 3-space. Topics from global differential geometry and extensions to higher dimensions will be considered as time and the background of the students permit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: (MATH222 AND MATH221) OR (MATH222 AND MATH223)

MATH284 Euclidean and Non-Euclidean Geometry

Euclid developed an axiomatic system to describe plane geometry in 300 BC. This system is fundamental to our understanding of mathematics today. In this course, we will compare and contrast plane geometry and its axiomatic system with several beautiful geometries, including spherical, elliptical and hyperbolic geometries, and their applications.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH222 AND (MATH221 OR MATH223)

MATH285 Introduction to Lie Theory

Lie theory is a fundamental area of mathematics, with many applications to physics and other sciences. In this course, we will study the basics of elementary Lie theory. This course will focus on matrix groups, which have concrete descriptions and include all of the Lie groups that commonly arise in applications. Topics covered in this class will include the algebra and topology of matrix groups, Lie algebras, matrix exponentiation, and applications.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: NSM-MATH
Prereq: MATH261

MATH401 Individual Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH402 Individual Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH407 Senior Tutorial (downgraded thesis)

Downgraded Senior Thesis Tutorial - Project to be arranged in consultation with the tutor. Only enrolled in through the Honors Coordinator.
Offering: Host
Grading: A-F

MATH408 Senior Tutorial (downgraded thesis)

Downgraded Senior Thesis Tutorial - Project to be arranged in consultation with the tutor. Only enrolled in through the Honors Coordinator.
Offering: Host
Grading: A-F

MATH409 Senior Thesis Tutorial

Topics to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH410 Senior Thesis Tutorial

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH411 Group Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH412 Group Tutorial, Undergraduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH419 Student Forum

Student-run group tutorial, sponsored by a faculty member and approved by the chair of a department or program.
Offering: Host
Grading: Cr/U

MATH421 Undergraduate Research, Science

Individual research projects for undergraduate students supervised by faculty members.
Offering: Host
Grading: OPT

MATH422 Undergraduate Research, Science

Individual research projects for undergraduate students supervised by faculty members.
Offering: Host
Grading: OPT

MATH423 Advanced Research Seminar, Undergraduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH424 Advanced Research Seminar, Undergraduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH465 Education in the Field, Undergraduate

Students must consult with the department and class dean in advance of undertaking education in the field for approval of the nature of the responsibilities and method of evaluation.
Offering: Host
Grading: OPT

MATH466 Education in the Field, Undergraduate

Students must consult with the department and class dean in advance of undertaking education in the field for approval of the nature of the responsibilities and method of evaluation.
Offering: Host
Grading: OPT

MATH469 Education in the Field, Undergraduate

Students must consult with the department and class dean in advance of undertaking education in the field for approval of the nature of the responsibilities and method of evaluation.
Offering: Host
Grading: OPT
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH470 Independent Study, Undergraduate

Credit may be earned for an independent study during a summer or authorized leave of absence provided that (1) plans have been approved in advance, and (2) all specified requirements have been satisfied.
Offering: Host
Grading: OPT
Credits: 0.50
Gen Ed Area: None
Prereq: None

MATH491 Teaching Apprentice Tutorial

The teaching apprentice program offers undergraduate students the opportunity to assist in teaching a faculty member's course for academic credit.
Offering: Host
Grading: OPT

MATH492 Teaching Apprentice Tutorial

The teaching apprentice program offers undergraduate students the opportunity to assist in teaching a faculty member's course for academic credit.
Offering: Host
Grading: OPT

MATH495 Research Apprentice, Undergraduate

Project to be arranged in consultation with the tutor.
Offering: Host
Grading: Cr/U

MATH496 Research Apprentice, Undergraduate

Project to be arranged in consultation with the tutor.
Offering: Host
Grading: Cr/U

MATH500 Graduate Pedagogy

The elements of good teaching will be discussed and demonstrated through lectures, practice teaching sessions, and discussions of problems encountered in the actual teaching environment. The staff consists of faculty and experienced graduate students. An integral part of the course is a required one-day workshop before the first day of formal classes.



Training in pedagogy in the first semester of attendance is required for all incoming Wesleyan MA and PhD students who have not already fulfilled this requirement at Wesleyan. BA/MA students are not required to get training in pedagogy but may choose to do so.
Offering: Crosslisting
Grading: Cr/U
Credits: 0.25
Gen Ed Area: None
Identical With: ASTR500, CHEM500, BIOL500, E&ES500, MB&B500, MUSC500, PHYS500, PSYC500
Prereq: None

MATH501 Individual Tutorial, Graduate

Topic to be arranged in consultation with tutor.
Offering: Host
Grading: OPT

MATH502 Individual Tutorial, Graduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH503 Selected Topics, Graduate Sciences

Topic to be arranged in consultation with the tutor. A seminar primarily concerned with papers taken from current research publications designed for, and required of, graduate students.
Offering: Host
Grading: OPT

MATH504 Selected Topics, Graduate Sciences

Topic to be arranged in consultation with the tutor. A seminar primarily concerned with papers taken from current research publications designed for, and required of, graduate students.
Offering: Host
Grading: OPT

MATH507 Topics in Combinatorics

A graph is a set of vertices with an accompanying set of pairs of vertices, called edges. Given a set of searchers, a vertex search is a series of steps in which a searcher is either placed on or removed from a vertex in the graph. When both incident vertices of an edge simultaneously contain a searcher, then the edge is said to be cleared. The question of what is the minimum number of searchers needed to clear a graph is related to deep theorems of the structure of graphs, such as theorems about the pathwidth and treewidth of graphs. Graph searching and its variants are related to the game of Cops and Robbers (also called the pursuit-and-evasion game) which has applications in many areas, including robot movements and network security. A partially ordered set (poset) is a set with an order relation that is reflexive and transitive. Finite posets are used as finite models for topological spaces, which can describe large data sets. We will study both their topological and algebraic properties, including the Moebius and zeta functions, R-labelings, shellable labelings, lexicographically shellable labelings, and their homology. Special cases of posets such as Cohen-Macaulay posets, lattices, and modular and distributive lattices will be important examples. These topics are being used in current work in topological data science.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH509 Model Theory

An introduction to model theory: The syntax and semantics of first-order logic, definability, compactness and Löwenheim-Skolem theorems, realizing and omitting types, quantifier elimination and model completeness, countable models of complete theories.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH511 Group Tutorial, Graduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH512 Group Tutorial, Graduate

Topic to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH513 Analysis I

MATH513 and MATH 514 constitute the first-year graduate course in complex analysis, real analysis, and functional analysis. The Fall semester is devoted to complex analysis and measure theory. Fall topics include holomorphic functions, Cauchy's theorem, Cauchy's integral formulas, analytic continuation, the calculus of residues, the maximum modulus principle, and conformal mappings; sigma algebras, Borel measures, Lebesgue-Stieltjes measures, measurable functions, the dominated convergence theorem, Egorov's theorem, and Littlewood's principles. Spring topics continue with the development of measure theory before moving on to functional analysis. Spring topics may include product measures, Fubini's theorem, and the Radon-Nikodym theorem; Banach spaces, Hilbert spaces, linear functionals, linear operators, the Banach-Alaoglu theorem, and the Hahn-Banach theorem.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH514 Analysis I

MATH513 and MATH 514 constitute the first-year graduate course in complex analysis, real analysis, and functional analysis. The Fall semester is devoted to complex analysis and measure theory. Fall topics include holomorphic functions, Cauchy's theorem, Cauchy's integral formulas, analytic continuation, the calculus of residues, the maximum modulus principle, and conformal mappings; sigma algebras, Borel measures, Lebesgue-Stieltjes measures, measurable functions, the dominated convergence theorem, Egorov's theorem, and Littlewood's principles. Spring topics continue with the development of measure theory before moving on to functional analysis. Spring topics may include product measures, Fubini's theorem, and the Radon-Nikodym theorem; Banach spaces, Hilbert spaces, linear functionals, linear operators, the Banach-Alaoglu theorem, and the Hahn-Banach theorem.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH515 Analysis II

This is a topics course in analysis and varies from year to year. It may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH516 Analysis II

This is a topics course in analysis and varies from year to year. It may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: MATH513

MATH523 Topology I

This course is an introduction to topological spaces and the fundamental group; topological spaces, continuous maps, metric spaces; product and quotient spaces; compactness, connectedness, and separation axioms; and introduction to homotopy and the fundamental group.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH524 Topology I

A continuation of MATH523, this course will be an introduction to algebraic topology, concentrating on the fundamental group and homology.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH525 Topology II: Topics in Topology

This is a topics course in topology that varies from year to year. This course may be repeated for credit. Recent topics have included knot theory, homotopy theory, Lie groups, and topological graph theory.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH526 Topology II

This is a topics course in topology that varies from year to year. It may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH543 Algebra I

This course covers group theory including Sylow theorems, and basic ring and module theory, including structure of finitely generated modules over principal-ideal domains.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH544 Algebra I

This course studies Galois theory, finitely generated modules over principal-ideal domains, and other topics as time permits.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH545 Algebra II: Topics in Algebra

This is a topics course in algebra that varies from year to year. This course may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH546 Algebra II

This is a topics course in algebra that varies from year to year. It may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None

MATH549 Advanced Research Seminar, Graduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH550 Advanced Research Seminar, Graduate

Advanced research tutorial; project to be arranged in consultation with the tutor.
Offering: Host
Grading: OPT

MATH572 Special Topics in Mathematics

This is a supervised reading course on advanced topics in number theory. This course may be repeated for credit.
Offering: Host
Grading: A-F
Credits: 1.00
Gen Ed Area: None
Prereq: None