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.
This course may not be taken for credit after the successful completion of any course in the Calculus sequence.
Course Number
MATH1003W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 18:10-19:25We 18:10-19:25Section/Call Number
001/12502Enrollment
9 of 30Prerequisites: 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.
This course may not be taken for credit after the successful completion of any course in the Calculus sequence.
Course Number
MATH1003W002Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 11:40-12:55Th 11:40-12:55Section/Call Number
002/12501Enrollment
11 of 30Prerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V001Points
3 ptsFall 2025
Times/Location
Mo 10:10-11:25We 10:10-11:25Section/Call Number
001/00293Enrollment
22 of 95Instructor
. FACULTYPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V002Points
3 ptsFall 2025
Times/Location
Mo 13:10-14:25We 13:10-14:25Section/Call Number
002/00294Enrollment
39 of 95Instructor
Dusa McDuffPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V003Points
3 ptsFall 2025
Times/Location
Tu 11:40-12:55Th 11:40-12:55Section/Call Number
003/00295Enrollment
22 of 95Instructor
Marco CastronovoPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V004Points
3 ptsFall 2025
Times/Location
Tu 13:10-14:25Th 13:10-14:25Section/Call Number
004/00296Enrollment
9 of 62Instructor
Marco CastronovoPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V005Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 11:40-12:55We 11:40-12:55Section/Call Number
005/12500Enrollment
24 of 100Instructor
Evan SorensenPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V006Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 14:40-15:55We 14:40-15:55Section/Call Number
006/12503Enrollment
5 of 100Instructor
Qiao HePrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V007Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 16:10-17:25We 16:10-17:25Section/Call Number
007/12504Enrollment
9 of 100Instructor
Qiao HePrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V008Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
008/12505Enrollment
11 of 100Instructor
Roger Van PeskiPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V009Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 14:40-15:55Th 14:40-15:55Section/Call Number
009/12506Enrollment
9 of 100Instructor
Roger Van PeskiPrerequisites: (see Courses for First-Year Students). Functions, limits, derivatives, introduction to integrals, or an understanding of pre-calculus will be assumed. (SC)
Course Number
MATH1101V010Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 16:10-17:25Tu 16:10-17:25Section/Call Number
010/12507Enrollment
6 of 100Instructor
Tianqing 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
MATH1101V011Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 18:10-19:25Th 18:10-19:25Section/Call Number
011/12508Enrollment
0 of 30Prerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)
Course Number
MATH1102V001Points
3 ptsFall 2025
Times/Location
Mo 11:40-12:55We 11:40-12:55Section/Call Number
001/00297Enrollment
12 of 95Instructor
. FACULTYPrerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)
Course Number
MATH1102V002Points
3 ptsFall 2025
Times/Location
Mo 13:10-14:25We 13:10-14:25Section/Call Number
002/00298Enrollment
9 of 95Instructor
. FACULTYPrerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)
Course Number
MATH1102V003Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 14:40-15:55We 14:40-15:55Section/Call Number
003/12510Enrollment
17 of 30Prerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)
Course Number
MATH1102V004Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 08:40-09:55Th 08:40-09:55Section/Call Number
004/12512Enrollment
4 of 100Instructor
Andres Ibanez NunezPrerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)
Course Number
MATH1102V005Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
005/12511Enrollment
5 of 100Instructor
Andres Ibanez NunezPrerequisites: MATH UN1101 or the equivalent. Methods of integration, applications of the integral, Taylors theorem, infinite series. (SC)
Course Number
MATH1102V006Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 18:10-19:25Th 18:10-19:25Section/Call Number
006/12513Enrollment
31 of 64Instructor
Elliott SteinThis introductory-level course teaches students the basic concepts of probability and statistics, and the logic of probabilistic reasoning. The course is designed for students with no prior knowledge in probability or statistics, its only prerequisite is basic algebra. We will discuss axioms of probability, random variables, useful distributions, law of large numbers and central limit theorem, confidence intervals, discrete-time Markov chains, Brownian motion, introduction to inference and hypothesis testing.
Course Number
MATH1110X001Points
4 ptsFall 2025
Times/Location
Tu 10:10-11:25Th 10:10-11:25Section/Call Number
001/00365Enrollment
5 of 23Instructor
Alisa KnizelRequired discussion section for MATH BC1110
Course Number
MATH1113X001Points
0 ptsFall 2025
Section/Call Number
001/00299Enrollment
6 of 25Instructor
. FACULTYPrerequisites: 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
MATH1201V001Points
3 ptsFall 2025
Times/Location
Mo 08:40-09:55We 08:40-09:55Section/Call Number
001/00300Enrollment
65 of 95Instructor
Daniela De SilvaPrerequisites: 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
MATH1201V002Points
3 ptsFall 2025
Times/Location
Tu 16:10-17:25Th 16:10-17:25Section/Call Number
002/00301Enrollment
7 of 95Instructor
. FACULTYPrerequisites: 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
MATH1201V003Points
3 ptsFall 2025
Times/Location
Tu 14:40-15:55Th 14:40-15:55Section/Call Number
003/00302Enrollment
15 of 95Instructor
. FACULTYPrerequisites: 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
MATH1201V004Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 16:10-17:25We 16:10-17:25Section/Call Number
004/12517Enrollment
44 of 100Instructor
Deeparaj BhatPrerequisites: 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
MATH1201V005Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 18:10-19:25We 18:10-19:25Section/Call Number
005/12516Enrollment
12 of 100Instructor
Deeparaj BhatPrerequisites: 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
MATH1201V006Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
006/12515Enrollment
100 of 100Instructor
Gyujin OhPrerequisites: 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
MATH1201V007Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 11:40-12:55Th 11:40-12:55Section/Call Number
007/12514Enrollment
100 of 100Instructor
Gyujin OhPrerequisites: 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
MATH1201V008Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 13:10-14:25Th 13:10-14:25Section/Call Number
008/12925Enrollment
12 of 100Instructor
Anh Duc VoPrerequisites: 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
MATH1202V001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 18:10-19:25We 18:10-19:25Section/Call Number
001/12518Enrollment
60 of 64Instructor
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
MATH1202V002Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
002/12519Enrollment
24 of 64Instructor
Ovidiu SavinPrerequisites: (MATH UN1101 and MATH UN1102). Vectors in dimensions 2 and 3, vector-valued functions of one variable, scalar-valued functions of several variables, partial derivatives, gradients, optimization, Lagrange multipliers, double and triple integrals, line and surface integrals, vector calculus. This course is an accelerated version of MATH UN1201 - MATH UN1202. Students taking this course may not receive credit for MATH UN1201 and MATH UN1202.
Course Number
MATH1205W001Format
In-PersonPoints
4 ptsFall 2025
Times/Location
Mo 13:10-14:25We 13:10-14:25Section/Call Number
001/12922Enrollment
21 of 64Instructor
Mu-Tao WangPrerequisites: (see "Guidance for First-Year Students" in the Bulletin). 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
MATH1207V001Format
In-PersonPoints
4 ptsFall 2025
Times/Location
Tu 13:10-14:25Th 13:10-14:25Section/Call Number
001/12924Enrollment
10 of 64Instructor
George DragomirRecitation section for MATH UN1205 - Accelerated Multivariable Calculus.
Students must register for both UN1205 and UN1215.
Course Number
MATH1215W001Format
In-PersonPoints
0 ptsFall 2025
Times/Location
Tu 18:00-18:50Section/Call Number
001/12921Enrollment
22 of 64Instructor
Mu-Tao WangRecitation section for MATH UN1207 Honors Math A.
Students must register for both UN1207 and UN1217.
Course Number
MATH1217V001Format
In-PersonPoints
0 ptsFall 2025
Times/Location
Th 18:00-18:50Section/Call Number
001/12926Enrollment
9 of 64Instructor
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
MATH2000V001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
001/12520Enrollment
29 of 64Instructor
George DragomirThis 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
MATH2005W001Format
In-PersonPoints
0 ptsFall 2025
Times/Location
Fr 13:00-15:00Section/Call Number
001/12521Enrollment
21 of 64Instructor
Julien DubedatMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Course Number
MATH2010V001Points
3 ptsFall 2025
Times/Location
Mo 10:10-11:25We 10:10-11:25Section/Call Number
001/00303Enrollment
70 of 85Instructor
. FACULTYMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Course Number
MATH2010V002Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 08:40-09:55We 08:40-09:55Section/Call Number
002/12525Enrollment
31 of 100Instructor
Yoonjoo KimMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Course Number
MATH2010V003Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 11:40-12:55We 11:40-12:55Section/Call Number
003/12524Enrollment
96 of 100Instructor
Yoonjoo KimMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Course Number
MATH2010V004Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
004/12523Enrollment
40 of 100Instructor
Andrew BlumbergMatrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications. (SC)
Course Number
MATH2010V005Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 16:10-17:25Tu 16:10-17:25Section/Call Number
005/12522Enrollment
22 of 100Instructor
Yujie XuLinear 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 priori 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 or MATH UN1207 Honors Math A, which focus 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. Students who have taken MATH UN2015 and consider taking higher level Math courses should contact a major advisor to discuss alternative pathways.
Course Number
MATH2015W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 14:40-15:55We 14:40-15:55Section/Call Number
001/12619Enrollment
51 of 100Instructor
Tommaso BottaLinear 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 priori 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 or MATH UN1207 Honors Math A, which focus 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. Students who have taken MATH UN2015 and consider taking higher level Math courses should contact a major advisor to discuss alternative pathways.
Course Number
MATH2015W002Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 18:10-19:25Th 18:10-19:25Section/Call Number
002/12620Enrollment
42 of 100Instructor
Tommaso BottaPrerequisites: 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
MATH2030V001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 11:40-12:55We 11:40-12:55Section/Call Number
001/12528Enrollment
100 of 100Instructor
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
MATH2030V002Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 18:10-19:25We 18:10-19:25Section/Call Number
002/12527Enrollment
26 of 49Instructor
Dawei ShenPrerequisites: 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
MATH2030V003Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 13:10-14:25Th 13:10-14:25Section/Call Number
003/12526Enrollment
61 of 100Instructor
Dawei 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
MATH2500V001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 10:10-11:25We 10:10-11:25Section/Call Number
001/12529Enrollment
78 of 100Instructor
. FACULTYPrerequisites: 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
MATH2500V002Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 11:40-12:55We 11:40-12:55Section/Call Number
002/12530Enrollment
44 of 100Instructor
. FACULTYCourse Number
MATH3025V001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 13:10-14:25Th 13:10-14:25Section/Call Number
001/12531Enrollment
77 of 100Instructor
Dorian GoldfeldCourse Number
MATH3386V001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 13:10-14:25We 13:10-14:25Section/Call Number
001/12532Enrollment
27 of 49Instructor
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
MATH3901V001Format
In-PersonPoints
3 ptsFall 2025
Section/Call Number
001/15009Enrollment
0 of 1Instructor
Ovidiu SavinPrerequisites: 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
MATH3901V002Format
In-PersonPoints
3 ptsFall 2025
Section/Call Number
002/15012Enrollment
1 of 1Instructor
Robert FriedmanCourse Number
MATH3951V001Points
3 ptsFall 2025
Section/Call Number
001/00304Enrollment
52 of 64Instructor
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
MATH3994W001Points
4 ptsFall 2025
Section/Call Number
001/00887Enrollment
2 of 2Instructor
. FACULTYMajors 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
MATH3994W002Points
4 ptsFall 2025
Section/Call Number
002/00888Enrollment
1 of 2Instructor
. FACULTYMajors 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
MATH3994W003Format
In-PersonPoints
4 ptsFall 2025
Section/Call Number
003/15008Enrollment
0 of 1Instructor
Andrew BlumbergMajors 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
MATH3994W004Format
In-PersonPoints
4 ptsFall 2025
Section/Call Number
004/15010Enrollment
1 of 1Instructor
Andrei OkounkovMajors 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
MATH3994W005Format
In-PersonPoints
4 ptsFall 2025
Section/Call Number
005/15011Enrollment
0 of 0Instructor
Andrew BlumbergMajors 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
MATH3994W006Format
In-PersonPoints
4 ptsFall 2025
Section/Call Number
006/15693Enrollment
1 of 1Instructor
Soren GalatiusPrerequisites: 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
MATH3997V001Points
4 ptsFall 2025
Section/Call Number
001/00889Enrollment
0 of 5Instructor
. FACULTYCourse Number
MATH4032W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
001/12533Enrollment
49 of 49Instructor
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
MATH4041W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 13:10-14:25We 13:10-14:25Section/Call Number
001/12534Enrollment
72 of 100Instructor
Robert FriedmanPrerequisites: 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
MATH4042W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
001/12537Enrollment
13 of 35Instructor
Yujie XuCourse Number
MATH4044W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 11:40-12:55Th 11:40-12:55Section/Call Number
001/12538Enrollment
12 of 20Instructor
Aise Johan de JongCourse Number
MATH4051W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 10:10-11:25We 10:10-11:25Section/Call Number
001/12927Enrollment
49 of 64Instructor
Soren GalatiusCourse Number
MATH4052W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 18:10-19:25We 18:10-19:25Section/Call Number
001/12539Enrollment
12 of 20Instructor
Rostislav AkhmechetPrerequisites: 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
MATH4061W002Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 14:40-15:55We 14:40-15:55Section/Call Number
002/12540Enrollment
62 of 85Instructor
Sven HirschPrerequisites: 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
MATH4061W003Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 16:10-17:25We 16:10-17:25Section/Call Number
003/12928Enrollment
40 of 85Instructor
Sven HirschThe 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
MATH4062W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 18:10-19:25Th 18:10-19:25Section/Call Number
001/12541Enrollment
21 of 49Instructor
Jeanne BoursierCourse Number
MATH4065W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 10:10-11:25Tu 10:10-11:25Section/Call Number
001/12542Enrollment
17 of 49Instructor
Tang-Kai LeeThis course will cover advance topics in probability, including: the theory of martingales in discrete and in continuous time; Brownian motion and its properties, stochastic integration, ordinary and partial stochastic differential equations; Applications to optimal filtering, stopping, control, and finance; Continuous-time Markov chains, systems of interacting particles, relative entropy dissipation, notions of information theory; Electrical networks, random walks on graphs and groups, percolation.
Course Number
MATH4156W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 14:40-15:55Th 14:40-15:55Section/Call Number
001/12543Enrollment
21 of 64Instructor
Ioannis KaratzasCourse Number
MATH5010W001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Mo 19:40-20:55We 19:40-20:55Section/Call Number
001/12930Enrollment
8 of 150Instructor
Mikhail SmirnovThis seminar offers participants the opportunity to listen to practitioners discuss a range of important topics in the financial industry. Topics may include portfolio optimization, exotic derivatives, high frequency analysis of data and numerical methods. While most talks require knowledge of mathematical methods in finance, some talks are accessible to a more general audience.
Course Number
MATH5050G001Format
In-PersonPoints
2 ptsFall 2025
Times/Location
We 18:10-19:25Section/Call Number
001/15602Enrollment
0 of 150Instructor
Jaehyuk ChoiCourse Number
MATH5220G001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Th 19:40-22:00Section/Call Number
001/12931Enrollment
0 of 50Instructor
Alberto BotterCourse Number
MATH5280G001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Sa 19:00-21:20Section/Call Number
001/12932Enrollment
0 of 116Instructor
Alexei ChekhlovCourse Number
MATH5300G001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 20:10-22:00Section/Call Number
001/12933Enrollment
0 of 50Instructor
Eric YehCourse Number
MATH5340G001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Tu 10:10-12:00Section/Call Number
001/12935Enrollment
0 of 50Instructor
Rosanna PezzoCourse Number
MATH5400G001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Fr 18:00-20:10Section/Call Number
001/12936Enrollment
1 of 25Instructor
Julien GuyonBryan LiangRequired Prerequisite: Math GR5010 Intro to the Math of Finance (or equivalent). Recommended Prerequisite: 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 of vanilla and exotic options that are traded on derivatives desks, which goes beyond the classical option pricing courses focusing solely on the theory. It also presents the opportunity to design, implement and backtest vol trading strategies. The course is divided in four parts: Advanced Volatility Modeling; Vanilla and Exotic Options: Structuring, Pricing and Hedging; FX/Rates Components: Discounting, Forward Projection, Quanto and Compo Options; Designing and Backtesting Vol Trading Strategies in Python.
Course Number
MATH5420G001Format
In-PersonPoints
3 ptsFall 2025
Times/Location
Sa 10:10-12:00Section/Call Number
001/12938Enrollment
2 of 110Instructor
Amal MoussaPrerequisites: 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
MATH5510G001Format
In-PersonPoints
3 ptsFall 2025
Section/Call Number
001/12939Enrollment
0 of 99Instructor
Jaehyuk ChoiThis 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.