# Mathematics

The Department of Mathematics offers courses in calculus, algebra, geometry, differential equations, linear algebra, topology, number theory, and knot theory.

For questions about specific courses, contact the department.

## Mathematics Library

A comprehensive mathematics reference library is situated on the main floor of the Mathematics building.

## Courses for First-Year Students

The systematic study of mathematics begins with one of the following: Calculus I, II, III, IV (Mathematics V1101, V1102, V1201, V1202); Honors mathematics A, B (Mathematics V1207, V1208). The calculus sequence is a standard course in differential and integral calculus; it is intended for students who need calculus primarily for its applications.

Students who have no previous experience with calculus or who do not feel able to start with a second course in it should begin with Calculus I. Students who are not adequately prepared for calculus are strongly advised to begin with Mathematics W1003.

The two-term honors mathematics sequence is designed for students with strong mathematical talent and motivation. Honors Math A-B is aimed at students with a strong grasp of one-variable calculus and a high degree of mathematical sophistication. It covers linear algebra as well as several-variables calculus, and prepares students for the more advanced courses offered by the department.

Students who wish to transfer from one division of calculus to another are allowed to do so beyond the date specified in the academic calendar. They are considered to be adjusting their level, not changing their programs, but they must make the change official through the Registrar.

For questions about specific courses, contact the department.

### Courses

Prerequisites: score of 550 on the mathematics portion of the SAT completed within the last year, or the appropriate grade on the General Studies Mathematics Placement Examination. For students who wish to study calculus but do not know analytic geometry. Algebra review, graphs and functions, polynomial functions, rational functions, conic sections, systems of equations in two variables, exponential and logarithmic functions, trigonometric functions and trigonometric identities, applications of trigonometry, sequences, series, and limits.

##### Course Number

MATH1003W001##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 18:10-19:25We 18:10-19:25

##### Section/Call Number

001/00055##### Enrollment

29 of 30##### Instructor

Lindsay PiechnikPrerequisites: score of 550 on the mathematics portion of the SAT completed within the last year, or the appropriate grade on the General Studies Mathematics Placement Examination. For students who wish to study calculus but do not know analytic geometry. Algebra review, graphs and functions, polynomial functions, rational functions, conic sections, systems of equations in two variables, exponential and logarithmic functions, trigonometric functions and trigonometric identities, applications of trigonometry, sequences, series, and limits.

##### Course Number

MATH1003W002##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 14:40-15:55Th 14:40-15:55

##### Section/Call Number

002/00056##### Enrollment

28 of 30##### Instructor

Lindsay PiechnikPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)

##### Course Number

MATH1101V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 11:40-12:55We 11:40-12:55

##### Section/Call Number

001/12744##### Enrollment

95 of 110##### Instructor

Daniele AlessandriniPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)

##### Course Number

MATH1101V002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 13:10-14:25We 13:10-14:25

##### Section/Call Number

002/12746##### Enrollment

77 of 85##### Instructor

Michael ThaddeusPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)

##### Course Number

MATH1101V003##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 14:40-15:55We 14:40-15:55

##### Section/Call Number

003/12748##### Enrollment

64 of 64##### Instructor

Akash Sengupta##### Course Number

MATH1101V004##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 16:10-17:25We 16:10-17:25

##### Section/Call Number

004/12749##### Enrollment

108 of 110##### Instructor

Akash Sengupta##### Course Number

MATH1101V005##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 10:10-11:25Tu 10:10-11:25

##### Section/Call Number

005/12751##### Enrollment

49 of 52##### Instructor

Amadou Bah##### Course Number

MATH1101V006##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

006/12752##### Enrollment

63 of 70##### Instructor

Gerhardt Hinkle##### Course Number

MATH1101V008##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 13:10-14:25Th 13:10-14:25

##### Section/Call Number

008/00057##### Enrollment

95 of 100##### Instructor

Lindsay Piechnik##### Course Number

MATH1101V009##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 18:10-19:25We 18:10-19:25

##### Section/Call Number

009/12756##### Enrollment

28 of 30##### Instructor

Robin Zhang##### Course Number

MATH1101V010##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 16:10-17:25Tu 16:10-17:25

##### Section/Call Number

010/12758##### Enrollment

34 of 35##### Instructor

Chaim Avram Zeff##### Course Number

MATH1101V012##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 14:40-15:55Th 14:40-15:55

##### Section/Call Number

012/12760##### Enrollment

20 of 30##### Instructor

Chilin Zhang##### Course Number

MATH1101V013##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 16:10-17:25We 16:10-17:25

##### Section/Call Number

013/20176##### Enrollment

56 of 110##### Instructor

Nikolaos ApostolakisPrerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)

##### Course Number

MATH1102V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 13:10-14:25We 13:10-14:25

##### Section/Call Number

001/12761##### Enrollment

69 of 110##### Instructor

Rostislav AkhmechetPrerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)

##### Course Number

MATH1102V002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 14:40-15:55We 14:40-15:55

##### Section/Call Number

002/12763##### Enrollment

68 of 110##### Instructor

Rostislav AkhmechetPrerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)

##### Course Number

MATH1102V003##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 16:10-17:25We 16:10-17:25

##### Section/Call Number

003/12765##### Enrollment

34 of 35##### Instructor

Hindy Drillick##### Course Number

MATH1102V004##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 10:10-11:25Tu 10:10-11:25

##### Section/Call Number

004/12767##### Enrollment

37 of 110##### Instructor

Andres Fernandez Herrero##### Course Number

MATH1102V005##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

005/12768##### Enrollment

66 of 110##### Instructor

Andres Fernandez Herrero##### Course Number

MATH1102V006##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 18:10-19:25Th 18:10-19:25

##### Section/Call Number

006/12771##### Enrollment

16 of 30##### Instructor

Haodong YaoPrerequisites: MATH UN1101 or the equivalent Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramers rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers. (SC)

##### Course Number

MATH1201V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 10:10-11:25We 10:10-11:25

##### Section/Call Number

001/12774##### Enrollment

106 of 110##### Instructor

Tudor PadurariuPrerequisites: MATH UN1101 or the equivalent Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramers rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers. (SC)

##### Course Number

MATH1201V002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 11:40-12:55We 11:40-12:55

##### Section/Call Number

002/12776##### Enrollment

107 of 110##### Instructor

Tudor PadurariuPrerequisites: MATH UN1101 or the equivalent Vectors in dimensions 2 and 3, complex numbers and the complex exponential function with applications to differential equations, Cramers rule, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, surfaces, optimization, the method of Lagrange multipliers. (SC)

##### Course Number

MATH1201V003##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 13:10-14:25We 13:10-14:25

##### Section/Call Number

003/12778##### Enrollment

18 of 110##### Instructor

Sam Collingbourne##### Course Number

MATH1201V004##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 14:40-15:55We 14:40-15:55

##### Section/Call Number

004/12779##### Enrollment

35 of 110##### Instructor

Sam Collingbourne##### Course Number

MATH1201V005##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

005/12781##### Enrollment

28 of 100##### Instructor

Ilya Kofman##### Course Number

MATH1201V006##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 13:10-14:25Th 13:10-14:25

##### Section/Call Number

006/12783##### Enrollment

58 of 100##### Instructor

Gyujin Oh##### Course Number

MATH1201V007##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 14:40-15:55Th 14:40-15:55

##### Section/Call Number

007/12784##### Enrollment

63 of 100##### Instructor

Gyujin Oh##### Course Number

MATH1201V008##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 16:10-17:25Tu 16:10-17:25

##### Section/Call Number

008/12785##### Enrollment

110 of 116##### Instructor

George DragomirPrerequisites: MATH UN1102 and MATH UN1201 or the equivalent Multiple integrals, Taylor's formula in several variables, line and surface integrals, calculus of vector fields, Fourier series. (SC)

##### Course Number

MATH1202V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 18:10-19:25We 18:10-19:25

##### Section/Call Number

001/12786##### Enrollment

48 of 116##### Instructor

Mikhail SmirnovPrerequisites: MATH UN1102 and MATH UN1201 or the equivalent Multiple integrals, Taylor's formula in several variables, line and surface integrals, calculus of vector fields, Fourier series. (SC)

##### Course Number

MATH1202V002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 14:40-15:55We 14:40-15:55

##### Section/Call Number

002/15049##### Enrollment

19 of 55##### Instructor

Ivan Horozov##### Course Number

MATH1205W001##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Times/Location

Mo 13:10-14:25We 13:10-14:25

##### Section/Call Number

001/12790##### Enrollment

25 of 49##### Instructor

Mu-Tao Wang##### Course Number

MATH1207V001##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Times/Location

Tu 13:10-14:25Th 13:10-14:25

##### Section/Call Number

001/12791##### Enrollment

50 of 64##### Instructor

Stephen Miller##### Course Number

MATH2000W001##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 10:10-11:25We 10:10-11:25

##### Section/Call Number

001/00058##### Enrollment

27 of 55##### Instructor

Dusa McDuffThis is a seminar course that covers the basics of mathematical proofs and in particular the epsilon-delta argument in single variable calculus.

Students who have little experience with mathematical proofs are strongly encouraged to take this course concurrently with Honors Math, Into to Modern Algebra, or Intro to Modern Analysis.

##### Course Number

MATH2005W001##### Format

In-Person##### Points

0 pts#### Fall 2022

##### Times/Location

Fr 11:00-13:00##### Section/Call Number

001/13161##### Enrollment

27 of 70##### Instructor

Mu-Tao WangPrerequisites: MATH UN1201 or the equivalent. Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V001##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 08:40-09:55Th 08:40-09:55

##### Section/Call Number

001/00061##### Enrollment

41 of 56##### Instructor

David BayerPrerequisites: MATH UN1201 or the equivalent. Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V002##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 10:10-11:25Th 10:10-11:25

##### Section/Call Number

002/00062##### Enrollment

55 of 56##### Instructor

David BayerMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V003##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 10:10-11:25We 10:10-11:25

##### Section/Call Number

003/12793##### Enrollment

47 of 100##### Instructor

Marco CastronovoMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V004##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 11:40-12:55We 11:40-12:55

##### Section/Call Number

004/12794##### Enrollment

65 of 100##### Instructor

Marco CastronovoMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V005##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 16:10-17:25Tu 16:10-17:25

##### Section/Call Number

005/12796##### Enrollment

54 of 64##### Instructor

Elliott SteinMATH UN2015 features linear algebra with a focus on probability and statistics. The course covers the standard linear algebra topics: systems of linear equations, matrices, determinants, vector spaces, bases, dimension, eigenvalues and eigenvectors. It also teaches applications of linear algebra to probability, statistics and dynamical systems giving a background sufficient for higher level courses in probability and statistics. The topics covered in the probability theory part include conditional probability, discrete and continuous random variables, probability distributions and the limit theorems, as well as Markov chains, curve fitting, regression, and pattern analysis. The course contains applications to life sciences, chemistry, and environmental life sciences. No a prior i background in the life sciences is assumed.

This course is best suited for students who wish to focus on applications and practical approach to problem solving, rather than abstract mathematics and mathematical proofs. It is recommended to students majoring in engineering, technology, life sciences, social sciences, and economics. Students majoring in mathematics should take MATH UN2010 - Linear Algebra, which focuses on linear algebra concepts, and provides an introduction to writing mathematical proofs.

##### Course Number

MATH2015W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 10:10-11:25Tu 10:10-11:25

##### Section/Call Number

001/12800##### Enrollment

13 of 49##### Instructor

George DragomirPrerequisites: MATH UN1102 and MATH UN1201 or the equivalent. Special differential equations of order one. Linear differential equations with constant and variable coefficients. Systems of such equations. Transform and series solution techniques. Emphasis on applications.

##### Course Number

MATH2030V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 13:10-14:25We 13:10-14:25

##### Section/Call Number

001/12801##### Enrollment

77 of 100##### Instructor

Konstantin AleshkinPrerequisites: MATH UN1102 and MATH UN1201 or the equivalent. Special differential equations of order one. Linear differential equations with constant and variable coefficients. Systems of such equations. Transform and series solution techniques. Emphasis on applications.

##### Course Number

MATH2030V002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

002/12805##### Enrollment

43 of 100##### Instructor

Panagiota DaskalopoulosPrerequisites: MATH UN1102 and MATH UN1201 or the equivalent. Special differential equations of order one. Linear differential equations with constant and variable coefficients. Systems of such equations. Transform and series solution techniques. Emphasis on applications.

##### Course Number

MATH2030V003##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 14:40-15:55Th 14:40-15:55

##### Section/Call Number

003/12807##### Enrollment

40 of 100##### Instructor

Jorge Pineiro BarceloPrerequisites: MATH UN1102 and MATH UN1201 or the equivalent and MATH UN2010. Mathematical methods for economics. Quadratic forms, Hessian, implicit functions. Convex sets, convex functions. Optimization, constrained optimization, Kuhn-Tucker conditions. Elements of the calculus of variations and optimal control. (SC)

##### Course Number

MATH2500V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 10:10-11:25Tu 10:10-11:25

##### Section/Call Number

001/12808##### Enrollment

60 of 100##### Instructor

Xi ShenPrerequisites: MATH UN1102 and MATH UN1201 or the equivalent and MATH UN2010. Mathematical methods for economics. Quadratic forms, Hessian, implicit functions. Convex sets, convex functions. Optimization, constrained optimization, Kuhn-Tucker conditions. Elements of the calculus of variations and optimal control. (SC)

##### Course Number

MATH2500V002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

002/12809##### Enrollment

20 of 64##### Instructor

Chen-Chih Lai##### Course Number

MATH3007V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 14:40-15:55We 14:40-15:55

##### Section/Call Number

001/12810##### Enrollment

32 of 49##### Instructor

Ovidiu Savin##### Course Number

MATH3025V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 13:10-14:25Th 13:10-14:25

##### Section/Call Number

001/12812##### Enrollment

81 of 100##### Instructor

Dorian Goldfeld##### Course Number

MATH3386V001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

001/12815##### Enrollment

16 of 30##### Instructor

Richard HamiltonPrerequisites: The written permission of the faculty member who agrees to act as sponsor (sponsorship limited to full-time instructors on the staff list), as well as the permission of the Director of Undergraduate Studies. The written permission must be deposited with the Director of Undergraduate Studies before registration is completed. Guided reading and study in mathematics. A student who wishes to undertake individual study under this program must present a specific project to a member of the staff and secure his or her willingness to act as sponsor. Written reports and periodic conferences with the instructor.

Supervising Readings do NOT count towards major requirements, with the exception of an advanced written approval by the DUS.

##### Course Number

MATH3901V002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Section/Call Number

002/17703##### Enrollment

1 of 1##### Instructor

George DragomirPrerequisites: The written permission of the faculty member who agrees to act as sponsor (sponsorship limited to full-time instructors on the staff list), as well as the permission of the Director of Undergraduate Studies. The written permission must be deposited with the Director of Undergraduate Studies before registration is completed. Guided reading and study in mathematics. A student who wishes to undertake individual study under this program must present a specific project to a member of the staff and secure his or her willingness to act as sponsor. Written reports and periodic conferences with the instructor.

Supervising Readings do NOT count towards major requirements, with the exception of an advanced written approval by the DUS.

##### Course Number

MATH3901V003##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Section/Call Number

003/20114##### Enrollment

2 of 2##### Instructor

Elena GiorgiPrerequisites: The written permission of the faculty member who agrees to act as sponsor (sponsorship limited to full-time instructors on the staff list), as well as the permission of the Director of Undergraduate Studies. The written permission must be deposited with the Director of Undergraduate Studies before registration is completed. Guided reading and study in mathematics. A student who wishes to undertake individual study under this program must present a specific project to a member of the staff and secure his or her willingness to act as sponsor. Written reports and periodic conferences with the instructor.

Supervising Readings do NOT count towards major requirements, with the exception of an advanced written approval by the DUS.

##### Course Number

MATH3901V004##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Section/Call Number

004/20166##### Enrollment

1 of 1##### Instructor

Michael Harris##### Course Number

MATH3901V005##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Section/Call Number

005/20295##### Enrollment

1 of 1##### Instructor

David Bayer##### Course Number

MATH3901V006##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Section/Call Number

006/20366##### Enrollment

2 of 2##### Instructor

Mikhail Khovanov##### Course Number

MATH3901V007##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Section/Call Number

007/20435##### Enrollment

1 of 1##### Instructor

Dorian Goldfeld##### Course Number

MATH3951V001##### Format

On-Line Only##### Points

3 pts#### Fall 2022

##### Section/Call Number

001/00059##### Enrollment

57 of 64##### Instructor

Daniela De SilvaMajors in Mathematics are offered the opportunity to write an honors senior thesis under the guidance of a faculty member. Interested students should contact a faculty member to determine an appropriate topic, and receive written approval from the faculty advisor and the Director of Undergraduate Studies (faculty sponsorship is limited to full-time instructors on the staff list). Research is conducted primarily during the fall term; the final paper is submitted to the Director of Undergraduate Studies during the subsequent spring term.

MATH UN3994 SENIOR THESIS IN MATHEMATICS I must be taken in the fall term, during which period the student conducts primary research on the agreed topic. An optional continuation course MATH UN3995 SENIOR THESIS IN MATHEMATICS II is available during the spring. The second term of this sequence may not be taken without the first. Registration for the spring continuation course has no impact on the timeline or outcome of the final paper.

Sections of SENIOR THESIS IN MATHEMATICS I and II do NOT count towards the major requirements, with the exception of an advanced written approval by the DUS.

##### Course Number

MATH3994W001##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Section/Call Number

001/20023##### Enrollment

1 of 1##### Instructor

Stephen MillerMajors in Mathematics are offered the opportunity to write an honors senior thesis under the guidance of a faculty member. Interested students should contact a faculty member to determine an appropriate topic, and receive written approval from the faculty advisor and the Director of Undergraduate Studies (faculty sponsorship is limited to full-time instructors on the staff list). Research is conducted primarily during the fall term; the final paper is submitted to the Director of Undergraduate Studies during the subsequent spring term.

MATH UN3994 SENIOR THESIS IN MATHEMATICS I must be taken in the fall term, during which period the student conducts primary research on the agreed topic. An optional continuation course MATH UN3995 SENIOR THESIS IN MATHEMATICS II is available during the spring. The second term of this sequence may not be taken without the first. Registration for the spring continuation course has no impact on the timeline or outcome of the final paper.

Sections of SENIOR THESIS IN MATHEMATICS I and II do NOT count towards the major requirements, with the exception of an advanced written approval by the DUS.

##### Course Number

MATH3994W002##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Section/Call Number

002/20369##### Enrollment

1 of 1##### Instructor

Marcel NutzMajors in Mathematics are offered the opportunity to write an honors senior thesis under the guidance of a faculty member. Interested students should contact a faculty member to determine an appropriate topic, and receive written approval from the faculty advisor and the Director of Undergraduate Studies (faculty sponsorship is limited to full-time instructors on the staff list). Research is conducted primarily during the fall term; the final paper is submitted to the Director of Undergraduate Studies during the subsequent spring term.

MATH UN3994 SENIOR THESIS IN MATHEMATICS I must be taken in the fall term, during which period the student conducts primary research on the agreed topic. An optional continuation course MATH UN3995 SENIOR THESIS IN MATHEMATICS II is available during the spring. The second term of this sequence may not be taken without the first. Registration for the spring continuation course has no impact on the timeline or outcome of the final paper.

Sections of SENIOR THESIS IN MATHEMATICS I and II do NOT count towards the major requirements, with the exception of an advanced written approval by the DUS.

##### Course Number

MATH3994W003##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Section/Call Number

003/20381##### Enrollment

1 of 1##### Instructor

Dusa McDuff##### Course Number

MATH3994W004##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Section/Call Number

004/20433##### Enrollment

1 of 1##### Instructor

Andrew Blumberg##### Course Number

MATH3994W005##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Section/Call Number

005/20434##### Enrollment

1 of 1##### Instructor

Ioannis Karatzas##### Course Number

MATH3994W006##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Section/Call Number

006/20443##### Enrollment

1 of 1##### Instructor

Ivan Corwin##### Course Number

MATH3994W007##### Format

In-Person##### Points

4 pts#### Fall 2022

##### Section/Call Number

007/20699##### Enrollment

1 of 1##### Instructor

Daniela De SilvaPrerequisites: the written permission of the faculty member who agrees to act as a supervisor, and the director of undergraduate studies permission. For specially selected mathematics majors, the opportunity to write a senior thesis on a problem in contemporary mathematics under the supervision of a faculty member.

##### Course Number

MATH3997V001##### Points

3 pts#### Fall 2022

##### Section/Call Number

001/00761##### Enrollment

1 of 5##### Instructor

David BayerPrerequisites: the written permission of the faculty member who agrees to act as a supervisor, and the director of undergraduate studies permission. For specially selected mathematics majors, the opportunity to write a senior thesis on a problem in contemporary mathematics under the supervision of a faculty member.

##### Course Number

MATH3997V002##### Points

3 pts#### Fall 2022

##### Section/Call Number

002/00765##### Enrollment

1 of 1##### Instructor

. FACULTY##### Course Number

MATH4032W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 10:10-11:25We 10:10-11:25

##### Section/Call Number

001/12818##### Enrollment

42 of 64##### Instructor

Simon BrendlePrerequisites: MATH UN1102 and MATH UN1202 and MATH UN2010 or the equivalent. The second term of this course may not be taken without the first. Groups, homomorphisms, normal subgroups, the isomorphism theorems, symmetric groups, group actions, the Sylow theorems, finitely generated abelian groups.

##### Course Number

MATH4041W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 14:40-15:55We 14:40-15:55

##### Section/Call Number

001/12819##### Enrollment

64 of 100##### Instructor

William SawinPrerequisites: MATH UN1102 and MATH UN1202 and MATH UN2010 or the equivalent. The second term of this course may not be taken without the first. Rings, homomorphisms, ideals, integral and Euclidean domains, the division algorithm, principal ideal and unique factorization domains, fields, algebraic and transcendental extensions, splitting fields, finite fields, Galois theory.

##### Course Number

MATH4042W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 14:40-15:55Th 14:40-15:55

##### Section/Call Number

001/12823##### Enrollment

18 of 30##### Instructor

Robert Friedman##### Course Number

MATH4044W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 13:10-14:25Th 13:10-14:25

##### Section/Call Number

001/12825##### Enrollment

14 of 49##### Instructor

Chao Li##### Course Number

MATH4051W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 14:40-15:55Th 14:40-15:55

##### Section/Call Number

001/12826##### Enrollment

26 of 64##### Instructor

Mikhail Khovanov##### Course Number

MATH4052W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 13:10-14:25We 13:10-14:25

##### Section/Call Number

001/12828##### Enrollment

7 of 19##### Instructor

Siddhi KrishnaPrerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first. Real numbers, metric spaces, elements of general topology, sequences and series, continuity, differentiation, integration, uniform convergence, Ascoli-Arzela theorem, Stone-Weierstrass theorem.

##### Course Number

MATH4061W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 14:40-15:55Th 14:40-15:55

##### Section/Call Number

001/12829##### Enrollment

49 of 100##### Instructor

Florian JohnePrerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first. Real numbers, metric spaces, elements of general topology, sequences and series, continuity, differentiation, integration, uniform convergence, Ascoli-Arzela theorem, Stone-Weierstrass theorem.

##### Course Number

MATH4061W002##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 16:10-17:25Tu 16:10-17:25

##### Section/Call Number

002/12830##### Enrollment

43 of 100##### Instructor

Florian JohnePrerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first. Power series, analytic functions, Implicit function theorem, Fubini theorem, change of variables formula, Lebesgue measure and integration, function spaces.

##### Course Number

MATH4062W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 16:10-17:25We 16:10-17:25

##### Section/Call Number

001/12832##### Enrollment

16 of 64##### Instructor

Milind Hegde##### Course Number

MATH4065W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

001/12833##### Enrollment

26 of 64##### Instructor

Francesco Lin##### Course Number

MATH5010W001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Mo 19:40-20:55We 19:40-20:55

##### Section/Call Number

001/12834##### Enrollment

146 of 150##### Instructor

Mikhail SmirnovMartyna Grazda

##### Course Number

MATH5220G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 19:40-22:00##### Section/Call Number

001/12835##### Enrollment

31 of 50##### Instructor

Alberto Botter##### Course Number

MATH5280G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Sa 19:00-21:20##### Section/Call Number

001/12836##### Enrollment

126 of 116##### Instructor

Alexei Chekhlov##### Course Number

MATH5300G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 20:10-22:00##### Section/Call Number

001/12837##### Enrollment

38 of 50##### Instructor

Eric Yeh##### Course Number

MATH5320G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 20:10-22:00##### Section/Call Number

001/12838##### Enrollment

39 of 50##### Instructor

Harvey Stein##### Course Number

MATH5340G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Th 17:30-19:30##### Section/Call Number

001/12839##### Enrollment

22 of 50##### Instructor

Rosanna PezzoPrerequisites: Math GR5010 Required: Math GR5010 Intro to the Math of Finance (or equivalent),Recommended: Stat GR5264 Stochastic Processes – Applications I (or equivalent) The objective of this course is to introduce students, from a practitioner's perspective with formal derivations, to the advanced modeling, pricing and risk management techniques that are used on derivatives desks in the industry, which goes beyond the classical option pricing courses focusing solely on the theory. The course is divided into four parts: Differential discounting, advanced volatility modeling, managing a derivatives book, and contagion and systemic risk in financial networks.

##### Course Number

MATH5420G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Sa 10:10-12:00##### Section/Call Number

001/12841##### Enrollment

88 of 110##### Instructor

Amal MoussaThe application of Machine Learning (ML) algorithms in the Financial industry is now commonplace, but still nascent in its potential. This course provides an overview of ML applications for finance use cases including trading, investment management, and consumer banking.

Students will learn how to work with financial data and how to apply ML algorithms using the data. In addition to providing an overview of the most commonly used ML models, we will detail the regression, KNN, NLP, and time series deep learning ML models using desktop and cloud technologies.

The course is taught in Python using Numpy, Pandas, scikit-learn and other libraries. Basic programming knowledge in any language is required.

##### Course Number

MATH5430G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Times/Location

Tu 12:10-14:00##### Section/Call Number

001/17006##### Enrollment

35 of 80##### Instructor

William RitterMartyna Grazda

Prerequisites: all 6 MAFN core courses, at least 6 credits of approved electives, and the instructors permission. See the MAFN website for details. This course provides an opportunity for MAFN students to engage in off-campus internships for academic credit that counts towards the degree. Graded by letter grade. Students need to secure an internship and get it approved by the instructor.

##### Course Number

MATH5510G001##### Format

In-Person##### Points

3 pts#### Fall 2022

##### Section/Call Number

001/12842##### Enrollment

17 of 99##### Instructor

Lars NielsenThis course helps the students understand the job search process and develop the professional skills necessary for career advancement. The students will not only learn the best practices in all aspects of job-seeking but will also have a chance to practice their skills. Each class will be divided into two parts: a lecture and a workshop.

In addition, the students will get support from Teaching Assistants who will be available to guide and prepare the students for technical interviews.

##### Course Number

MATH5520G001##### Format

In-Person##### Points

0 pts#### Fall 2022

##### Times/Location

We 10:10-11:25##### Section/Call Number

001/16075##### Enrollment

49 of 60##### Instructor

Lars NielsenMartyna Grazda

##### Course Number

MATH6151G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Times/Location

Th 16:10-17:25Tu 16:10-17:25

##### Section/Call Number

001/12844##### Enrollment

12 of 20##### Instructor

Julien Dubedat##### Course Number

MATH6175G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Times/Location

Tu 13:10-14:25Th 13:10-14:25

##### Section/Call Number

001/12845##### Enrollment

14 of 20##### Instructor

Duong Phong##### Course Number

MATH6261G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Times/Location

Tu 11:40-12:55Th 11:40-12:55

##### Section/Call Number

001/12846##### Enrollment

11 of 20##### Instructor

Eric Urban##### Course Number

MATH6307G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Times/Location

Mo 13:10-14:25We 13:10-14:25

##### Section/Call Number

001/12847##### Enrollment

9 of 20##### Instructor

Mohammed Abouzaid##### Course Number

MATH6343G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Times/Location

Th 10:10-11:25Tu 10:10-11:25

##### Section/Call Number

001/12848##### Enrollment

9 of 20##### Instructor

John Morgan##### Course Number

MATH6402G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Times/Location

Mo 10:10-11:25We 10:10-11:25

##### Section/Call Number

001/12849##### Enrollment

10 of 20##### Instructor

Chiu-Chu Liu##### Course Number

MATH8209G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Section/Call Number

001/20703##### Enrollment

1 of 1##### Instructor

Simon Brendle##### Course Number

MATH8209G002##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Section/Call Number

002/20756##### Enrollment

1 of 1##### Instructor

Panagiota Daskalopoulos##### Course Number

MATH8659G001##### Format

In-Person##### Points

5 pts#### Fall 2022

##### Times/Location

Tu 13:10-14:25Th 13:10-14:25