# 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##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12296##### Enrollment

19 of 30##### Instructor

Taeseok LeePrerequisites: 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##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

002/12298##### Enrollment

16 of 30##### Instructor

Baiqing ZhuPrerequisites: (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##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/00226##### Enrollment

95 of 100##### 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

MATH1101V002##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

002/12300##### Enrollment

43 of 100##### Instructor

Mrudul ThattePrerequisites: (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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

003/12301##### Enrollment

25 of 30##### Instructor

Alex Xu##### Course Number

MATH1101V004##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

004/12302##### Enrollment

18 of 30##### Instructor

Amal Mattoo##### Course Number

MATH1101V005##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

005/12303##### Enrollment

48 of 100##### Instructor

Mrudul Thatte##### Course Number

MATH1101V006##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

006/12304##### Enrollment

45 of 100##### Instructor

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

##### Course Number

MATH1102V001##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/00227##### Enrollment

58 of 60##### Instructor

Lindsay PiechnikPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

002/12305##### Enrollment

34 of 100##### Instructor

Lucy YangPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

003/12306##### Enrollment

62 of 64##### Instructor

Tomasz Owsiak##### Course Number

MATH1102V004##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

004/12307##### Enrollment

11 of 30##### Instructor

Fan Zhou##### Course Number

MATH1102V005##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

005/12308##### Enrollment

23 of 30##### Instructor

Davis Lazowski##### Course Number

MATH1102V006##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

006/12309##### Enrollment

34 of 100##### Instructor

Andres Fernandez Herrero##### Course Number

MATH1102V007##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

007/12310##### Enrollment

12 of 100##### Instructor

Andres Fernandez HerreroPrerequisites: 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##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/00228##### Enrollment

88 of 100##### Instructor

Cristian IovanovPrerequisites: 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##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

002/00229##### Enrollment

57 of 60##### Instructor

Cristian IovanovPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

003/12317##### Enrollment

94 of 106##### Instructor

Ivan Horozov##### Course Number

MATH1201V004##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

004/12318##### Enrollment

45 of 100##### Instructor

Shaoyun Bai##### Course Number

MATH1201V005##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

005/12320##### Enrollment

73 of 100##### Instructor

Jeanne Boursier##### Course Number

MATH1201V006##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

006/12322##### Enrollment

77 of 100##### Instructor

Jeanne BoursierPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12325##### Enrollment

38 of 64##### Instructor

Qiao HePrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

002/12327##### Enrollment

46 of 64##### Instructor

Qiao He##### Course Number

MATH1205W001##### Format

In-Person##### Points

4 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12328##### Enrollment

28 of 64##### Instructor

Sam CollingbournePrerequisites: (see Courses for First-Year Students). The second term of this course may not be taken without the first. Multivariable calculus and linear algebra from a rigorous point of view. Recommended for mathematics majors. Fulfills the linear algebra requirement for the major. (SC)

##### Course Number

MATH1208V001##### Format

In-Person##### Points

4 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12329##### Enrollment

32 of 50##### Instructor

George DragomirIntroduction to understanding and writing mathematical proofs. Emphasis on precise thinking and the presentation of mathematical results, both in oral and in written form. Intended for students who are considering majoring in mathematics but wish additional training. CC/GS: Partial Fulfillment of Science Requirement. BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

##### Course Number

MATH2000V001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12330##### Enrollment

23 of 44##### Instructor

Giulia SaccaPrerequisites: some calculus or the instructor's permission. Intended as an enrichment to the mathematics curriculum of the first years, this course introduces a variety of mathematical topics (such as three dimensional geometry, probability, number theory) that are often not discussed until later, and explains some current applications of mathematics in the sciences, technology and economics.

##### Course Number

MATH2001X001##### Points

1 pts#### Spring 2024

##### Times/Location

We 13:10-14:00##### Section/Call Number

001/00231##### Enrollment

17 of 28##### 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#### Spring 2024

##### Times/Location

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

001/12333##### Enrollment

21 of 64##### Instructor

Mu-Tao Wang##### Course Number

MATH2006X001##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/00254##### Enrollment

44 of 56##### Instructor

Alisa KnizelMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12334##### Enrollment

86 of 110##### Instructor

Amadou BahMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V002##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

002/12335##### Enrollment

89 of 110##### Instructor

Amadou BahMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)

##### Course Number

MATH2010V003##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

003/12336##### Enrollment

105 of 110##### Instructor

Rostislav Akhmechet##### Course Number

MATH2010V004##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

004/12337##### Enrollment

108 of 110##### Instructor

Rostislav Akhmechet##### Course Number

MATH2010V005##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

005/12339##### Enrollment

42 of 64##### Instructor

Elliott SteinLinear 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, the Spectral Theorem and singular value decompositions. 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 approaches to problem solving. It is recommended to students majoring in engineering, technology, life sciences, social sciences, and economics. Math majors, joint majors, and math concentrators must take MATH UN2010 Linear Algebra, which focuses on linear algebra concepts and foundations that are needed for upper-level math courses. MATH UN2015 (Linear Algebra and Probability) does NOT replace MATH UN2010 (Linear Algebra) as prerequisite requirements of math courses. Students may not receive full credit for both courses MATH UN2010 and MATH UN2015.

##### Course Number

MATH2015W001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12340##### Enrollment

79 of 110##### Instructor

Chen-Chih LaiPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12341##### Enrollment

95 of 100##### Instructor

Ovidiu SavinPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

002/12346##### Enrollment

57 of 100##### Instructor

Yin LiPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12347##### Enrollment

86 of 100##### Instructor

Wenjian Liu##### Course Number

MATH3020V001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12358##### Enrollment

73 of 100##### Instructor

Yoonjoo KimPrerequisites: (MATH UN2010 and MATH UN2030) or the equivalent introduction to partial differential equations. First-order equations. Linear second-order equations; separation of variables, solution by series expansions. Boundary value problems.

##### Course Number

MATH3028V001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12359##### Enrollment

61 of 100##### Instructor

Simon Brendle##### Course Number

MATH3050V001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12360##### Enrollment

57 of 64##### Instructor

Mikhail SmirnovPrerequisites: 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

MATH3902V001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Section/Call Number

001/18557##### Enrollment

1 of 1##### Instructor

Julien DubedatPrerequisites: 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

MATH3902V002##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Section/Call Number

002/20706##### Enrollment

1 of 1##### Instructor

Amadou BahPrerequisites: 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

MATH3902V003##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Section/Call Number

003/20734##### Enrollment

2 of 2##### Instructor

Andrew Blumberg##### Course Number

MATH3902V004##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Section/Call Number

004/20960##### Enrollment

1 of 1##### Instructor

Simon Brendle##### Course Number

MATH3902V005##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Section/Call Number

005/20967##### Enrollment

3 of 3##### Instructor

Francesco Lin##### Course Number

MATH3902V006##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Section/Call Number

006/20991##### Enrollment

1 of 1##### Instructor

Mu-Tao Wang##### Course Number

MATH3952V001##### Points

3 pts#### Spring 2024

##### Section/Call Number

001/00233##### Enrollment

61 of 80##### Instructor

Alisa KnizelMajors 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

MATH3995W001##### Format

In-Person##### Points

2 pts#### Spring 2024

##### Section/Call Number

001/20703##### Enrollment

1 of 1##### Instructor

Gyujin OhMajors 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

MATH3995W002##### Format

In-Person##### Points

2 pts#### Spring 2024

##### Section/Call Number

002/20726##### Enrollment

1 of 1##### Instructor

Xi ShenMajors 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

MATH3995W003##### Format

In-Person##### Points

2 pts#### Spring 2024

##### Section/Call Number

003/20750##### Enrollment

1 of 1##### Instructor

Qiao He##### Course Number

MATH3995W004##### Format

In-Person##### Points

2 pts#### Spring 2024

##### Section/Call Number

004/20817##### Enrollment

1 of 1##### Instructor

Ioannis Karatzas##### Course Number

MATH3995W005##### Format

In-Person##### Points

2 pts#### Spring 2024

##### Section/Call Number

005/20818##### Enrollment

1 of 1##### Instructor

Daniela De Silva##### Course Number

MATH3995W006##### Format

In-Person##### Points

2 pts#### Spring 2024

##### Section/Call Number

006/20992##### Enrollment

1 of 1##### Instructor

Mu-Tao WangPrerequisites: 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

4 pts#### Spring 2024

##### Section/Call Number

001/00910##### Enrollment

1 of 5##### Instructor

Daniela De Silva##### Course Number

MATH4007W001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12361##### Enrollment

8 of 19##### Instructor

Dorian GoldfeldPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12362##### Enrollment

55 of 64##### Instructor

Yujie XuPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12363##### Enrollment

44 of 64##### Instructor

Konstantin Aleshkin##### Course Number

MATH4043W001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12364##### Enrollment

10 of 20##### Instructor

Gyujin Oh##### Course Number

MATH4045W001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12366##### Enrollment

5 of 20##### Instructor

Nathan Chen##### Course Number

MATH4053W001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12368##### Enrollment

16 of 30##### Instructor

Lucy YangPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12541##### Enrollment

57 of 110##### Instructor

Ivan CorwinPrerequisites: 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12540##### Enrollment

14 of 50##### Instructor

Nikolaos Apostolakis##### Course Number

MATH4081W001##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/00234##### Enrollment

17 of 40##### Instructor

Dusa McDuff##### Course Number

MATH4155W001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12373##### Enrollment

29 of 49##### Instructor

Ioannis Karatzas##### Course Number

MATH5010W001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12374##### Enrollment

117 of 150##### Instructor

Mikhail Smirnov##### Course Number

MATH5030G001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12375##### Enrollment

63 of 64##### Instructor

Tat Sang Fung##### Course Number

MATH5030G002##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

Mo 17:40-18:55We 17:40-18:55

##### Section/Call Number

002/12376##### Enrollment

45 of 64##### Instructor

Luca Capriotti##### Course Number

MATH5050G001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

Tu 19:40-20:55Th 19:40-20:55

##### Section/Call Number

001/12377##### Enrollment

112 of 150##### Instructor

Lars Nielsen##### Course Number

MATH5260G001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

Fr 18:10-20:00##### Section/Call Number

001/12380##### Enrollment

40 of 60##### Instructor

Ka-Yi Ng##### Course Number

MATH5360G001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

001/12381##### Enrollment

47 of 100##### Instructor

Alexei Chekhlov##### Course Number

MATH5380G001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12383##### Enrollment

121 of 120##### Instructor

Inna OkounkovaColm O'Cinneide

Irina Bogacheva

This course uses a combination of lectures and case studies to introduce students to the modern credit analytics. The objective for the course is to cover major analytic concepts, ideas with a focus on the underlying mathematics used in both credit risk management and credit valuation. We will start from an empirical analysis of default probabilities (or PD), recovery rates and rating transitions. Then we will introduce the essential concepts of survival analysis as a scientiﬁc way to study default. For credit portfolio we will study and compare diﬀerent approaches such as CreditPortfolio View, CreditRisk+ as well as copula function approach. For valuation we will cover both single name and portfolio models.

##### Course Number

MATH5450G001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

We 13:10-15:40##### Section/Call Number

001/12388##### Enrollment

13 of 60##### Instructor

David LiThe objective of this course is to introduce students to interest rates models and to build step by step a coherent understanding of the interest rates world, from the stripping of a yield curve to the modern frameworks of option pricing. Adopting a practitioner’s perspective, it will put an emphasis on building a strong intuition on the products and models, and will adopt a balanced approach between formal derivation and concrete applications.

##### Course Number

MATH5460G001##### Format

In-Person##### Points

3 pts#### Spring 2024

##### Times/Location

We 19:25-21:15##### Section/Call Number

001/20555##### Enrollment

7 of 60##### Instructor

Paul-Guillaume FourniePrerequisites: 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#### Spring 2024

##### Section/Call Number

001/12389##### Enrollment

4 of 65##### 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#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12390##### Enrollment

0 of 60##### Instructor

Lars Nielsen##### Course Number

MATH6000G001##### Format

In-Person##### Points

0 pts#### Spring 2024

##### Times/Location

Tu 14:40-15:55##### Section/Call Number

001/12391##### Enrollment

8 of 20##### Instructor

George Dragomir##### Course Number

MATH6152G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12393##### Enrollment

11 of 20##### Instructor

Daniela De Silva##### Course Number

MATH6153G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12395##### Enrollment

12 of 20##### Instructor

Julien Dubedat##### Course Number

MATH6176G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12398##### Enrollment

10 of 20##### Instructor

Duong Phong##### Course Number

MATH6262G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12399##### Enrollment

7 of 20##### Instructor

Robert FriedmanContinuation of MATH GR6307x (see Fall listing).

##### Course Number

MATH6308G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12400##### Enrollment

6 of 20##### Instructor

Francesco Lin##### Course Number

MATH6344G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12401##### Enrollment

4 of 20##### Instructor

Andrei Okounkov##### Course Number

MATH6403G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12402##### Enrollment

3 of 20##### Instructor

Chiu-Chu Liu##### Course Number

MATH6657G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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

##### Section/Call Number

001/12403##### Enrollment

6 of 20##### Instructor

Eric Urban##### Course Number

MATH8250G001##### Format

In-Person##### Points

5 pts#### Spring 2024

##### Times/Location

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