Mathematics
The Mathematics Department offers introductory and advanced level courses during the summer term.
Please note, it is not necessary to complete prerequisites at Columbia University. Students are expected to meet prerequisite requirements prior to registration.
Check the Directory of Classes for the most uptodate course information.
Summer 2021 Session Information
 SESSION A courses are May 3–June 18, 2021
 SESSION B courses are June 28–August 16, 2021
Courses
BASIC MATHEMATICS
MATH0065S001 0 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH0065S001  001/10913  Summer A Subterm 
Mo 04:30 PM–06:05 PM Tu 04:30 PM–06:05 PM We 04:30 PM–06:05 PM Th 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Lindsay Piechnik 
0  Closed for Online Registration  OnLine Only 
COLLEGE ALGEBRAANLYTC GEOMTRY
MATH1003S001 3 points.
Prerequisites: Mathematics score of 550 on the SAT exam, taken within the past year. Recommended: MATH S0065. 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  Section/Call Number  Session  Times/Location  

MATH1003S001  001/10945  Summer B Subterm 
Mo 10:45 AM–12:20 PM We 10:45 AM–12:20 PM Tu 10:45 AM–12:20 PM Th 10:45 AM–12:20 PM 

Instructor  Points  Enrollment  Method of Instruction  
Zoe Margaret Himwich 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
CALCULUS I
MATH1101S001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1101S001  001/10275  Summer A Subterm 
Mo 08:30 AM–10:05 AM Tu 08:30 AM–10:05 AM We 08:30 AM–10:05 AM Th 08:30 AM–10:05 AM 

Instructor  Points  Enrollment  Method of Instruction  
Andrew Blumberg 
3  Closed for Online Registration  OnLine Only 
CALCULUS I
MATH1101S002 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1101S002  002/10925  Full Trm Crs 
Mo 04:30 PM–06:05 PM We 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Alexander Casti 
3  Closed for Online Registration  OnLine Only 
CALCULUS I
MATH1101S003 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1101S003  003/10946  Summer B Subterm 
Th 10:45 AM–12:20 PM Mo 10:45 AM–12:20 PM We 10:45 AM–12:20 PM Tu 10:45 AM–12:20 PM 

Instructor  Points  Enrollment  Method of Instruction  
Shalin Parekh 
3 
Registration Block (w/ SelfManaged Wait List) 
OnLine Only 
CALCULUS I
MATH1101S004 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1101S004  004/14313  Summer B Subterm 
We 06:15 PM–07:50 PM Mo 06:15 PM–07:50 PM Th 06:15 PM–07:50 PM Tu 06:15 PM–07:50 PM 

Instructor  Points  Enrollment  Method of Instruction  
Tat Sang Fung 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
CALCULUS II
MATH1102S001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1102S001  001/10276  Summer A Subterm 
Th 04:30 PM–06:05 PM Tu 04:30 PM–06:05 PM Mo 04:30 PM–06:05 PM We 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Zachary Sylvan 
3  Closed for Online Registration  OnLine Only 
CALCULUS II
MATH1102S002 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1102S002  002/10947  Summer B Subterm 
Mo 04:30 PM–06:05 PM Tu 04:30 PM–06:05 PM We 04:30 PM–06:05 PM Th 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Weitao Zhu 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
CALCULUS III
MATH1201S001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1201S001  001/10277  Summer A Subterm 
Mo 06:15 PM–07:50 PM Th 06:15 PM–07:50 PM We 06:15 PM–07:50 PM Tu 06:15 PM–07:50 PM 

Instructor  Points  Enrollment  Method of Instruction  
Nathan Dowlin 
3  Closed for Online Registration  OnLine Only 
CALCULUS III
MATH1201S002 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1201S002  002/10278  Summer A Subterm 
Mo 01:00 PM–02:35 PM Tu 01:00 PM–02:35 PM Th 01:00 PM–02:35 PM We 01:00 PM–02:35 PM 

Instructor  Points  Enrollment  Method of Instruction  
Andrew Ahn 
3  Closed for Online Registration  OnLine Only 
CALCULUS III
MATH1201S003 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1201S003  003/10948  Summer B Subterm 
We 06:15 PM–07:50 PM Mo 06:15 PM–07:50 PM Tu 06:15 PM–07:50 PM Th 06:15 PM–07:50 PM 

Instructor  Points  Enrollment  Method of Instruction  
Maithreya Sitaraman 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
CALCULUS III
MATH1201S004 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH1201S004  004/12743  Summer B Subterm 
Mo 04:30 PM–06:05 PM We 04:30 PM–06:05 PM Th 04:30 PM–06:05 PM Tu 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Tomasz Owsiak 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
CALCULUS IV
MATH1202S001 3 points.
Prerequisites: MATH S1201, or the equivalent. Double and triple integrals. Change of variables. Line and surface integrals. Grad, div, and curl. Vector integral calculus: Green's theorem, divergence theorem, Stokes' theorem
Course Number  Section/Call Number  Session  Times/Location  

MATH1202S001  001/10918  Summer A Subterm 
Mo 01:00 PM–02:35 PM Tu 01:00 PM–02:35 PM Th 01:00 PM–02:35 PM We 01:00 PM–02:35 PM 

Instructor  Points  Enrollment  Method of Instruction  
Juan Alvaro Munoz Echaniz 
3  Closed for Online Registration  OnLine Only 
CALCULUS IV
MATH1202S002 3 points.
Prerequisites: MATH S1201, or the equivalent. Double and triple integrals. Change of variables. Line and surface integrals. Grad, div, and curl. Vector integral calculus: Green's theorem, divergence theorem, Stokes' theorem
Course Number  Section/Call Number  Session  Times/Location  

MATH1202S002  002/10949  Summer B Subterm 
Mo 04:30 PM–06:05 PM Th 04:30 PM–06:05 PM Tu 04:30 PM–06:05 PM We 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Alexander Pieloch 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
LINEAR ALGEBRA
MATH2010S001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH2010S001  001/10279  Summer A Subterm 
Mo 04:30 PM–06:05 PM Tu 04:30 PM–06:05 PM Th 04:30 PM–06:05 PM We 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Gus Schrader 
3  Closed for Online Registration  OnLine Only 
LINEAR ALGEBRA
MATH2010S002 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH2010S002  002/10928  Full Trm Crs 
We 06:15 PM–07:50 PM Mo 06:15 PM–07:50 PM 

Instructor  Points  Enrollment  Method of Instruction  
Song Yu 
3  Closed for Online Registration  OnLine Only 
LINEAR ALGEBRA
MATH2010S003 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH2010S003  003/10952  Summer B Subterm 
We 06:15 PM–07:50 PM Th 06:15 PM–07:50 PM Mo 06:15 PM–07:50 PM Tu 06:15 PM–07:50 PM 

Instructor  Points  Enrollment  Method of Instruction  
Cheng Yu Tong 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
ORDINARY DIFFERENTIAL EQUATION
MATH2030V001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH2030V001  001/10919  Summer A Subterm 
Mo 10:45 AM–12:20 PM Th 10:45 AM–12:20 PM Tu 10:45 AM–12:20 PM We 10:45 AM–12:20 PM 

Instructor  Points  Enrollment  Method of Instruction  
Samuel DeHority 
3  Closed for Online Registration  OnLine Only 
ORDINARY DIFFERENTIAL EQUATION
MATH2030V002 3 points.
Prerequisites: 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  Section/Call Number  Session  Times/Location  

MATH2030V002  002/10954  Summer B Subterm 
Mo 04:30 PM–06:05 PM Tu 04:30 PM–06:05 PM We 04:30 PM–06:05 PM Th 04:30 PM–06:05 PM 

Instructor  Points  Enrollment  Method of Instruction  
Tsz Kiu Aaron Chow 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
ORDINARY DIFFERENTIAL EQUATION
MATH2030V003 3 points.
Prerequisites: 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  Section/Call Number  Session  Times/Location  

MATH2030V003  003/12812  Summer A Subterm 
Mo 06:15 PM–07:50 PM Tu 06:15 PM–07:50 PM We 06:15 PM–07:50 PM Th 06:15 PM–07:50 PM 

Instructor  Points  Enrollment  Method of Instruction  
KaYi Ng 
3  Closed for Online Registration  OnLine Only 
ANALYSIS AND OPTIMIZATION
MATH2500S001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH2500S001  001/10921  Summer A Subterm 
Tu 02:45 PM–04:20 PM Th 02:45 PM–04:20 PM Mo 02:45 PM–04:20 PM We 02:45 PM–04:20 PM 

Instructor  Points  Enrollment  Method of Instruction  
Nguyen Dung 
3  Closed for Online Registration  OnLine Only 
NUMBER THEORY AND CRYPTOGRAPHY
MATH3020V001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH3020V001  001/10280  Summer A Subterm 
Th 01:00 PM–02:30 PM Mo 01:00 PM–02:30 PM We 01:00 PM–02:30 PM Tu 01:00 PM–02:30 PM 

Instructor  Points  Enrollment  Method of Instruction  
William Chen 
3  Closed for Online Registration  OnLine Only 
SUPERVISED READINGS I
MATH3901S001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH3901S001  001/12966  Full Trm Crs 


Instructor  Points  Enrollment  Method of Instruction  
Ivan Corwin 
3  Closed for Online Registration  OnLine Only 
SUPERVISED READINGS I
MATH3901S002 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH3901S002  002/14300  Summer A Subterm 


Instructor  Points  Enrollment  Method of Instruction  
Ivan Corwin 
3  Closed for Online Registration  OnLine Only 
SUPERVISED INDIVIDUAL RESEARCH
MATH3997V001 3 points.
Prerequisites: 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  Section/Call Number  Session  Times/Location  

MATH3997V001  001/00255  Summer B Subterm 


Instructor  Points  Enrollment  Method of Instruction  
David Bayer 
3  Closed for Online Registration 
FOURIER ANALYSIS
MATH4032W001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH4032W001  001/10281  Summer A Subterm 
Mo 02:45 PM–04:20 PM Tu 02:45 PM–04:20 PM We 02:45 PM–04:20 PM Th 02:45 PM–04:20 PM 

Instructor  Points  Enrollment  Method of Instruction  
Yash Jhaveri 
3  Closed for Online Registration  OnLine Only 
ALGEBRAIC CURVES
MATH4045W001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH4045W001  001/10282  Summer A Subterm 
Th 10:45 AM–12:20 PM Mo 10:45 AM–12:20 PM We 10:45 AM–12:20 PM Tu 10:45 AM–12:20 PM 

Instructor  Points  Enrollment  Method of Instruction  
Akash Sengupta 
3  Closed for Online Registration  OnLine Only 
INTRO TO MODERN ANALYSIS I
MATH4061S001 3 points.
Prerequisites: MATH S1202, MATH S2010, or the equivalent. Students must have a current and solid background in the prerequisites for the course: multivariable calculus and linear algebra. Elements of set theory and general topology. Metric spaces. Euclidian space. Continuous and differentiable functions. Riemann integral. Uniform convergence.
Course Number  Section/Call Number  Session  Times/Location  

MATH4061S001  001/10923  Summer A Subterm 
Mo 09:00 AM–10:35 AM Th 09:00 AM–10:35 AM Tu 09:00 AM–10:35 AM We 09:00 AM–10:35 AM 

Instructor  Points  Enrollment  Method of Instruction  
Dobrin Marchev 
3  Closed for Online Registration  OnLine Only 
INTRO TO MODERN ANALYSIS I
MATH4061S002 3 points.
Prerequisites: MATH S1202, MATH S2010, or the equivalent. Students must have a current and solid background in the prerequisites for the course: multivariable calculus and linear algebra. Elements of set theory and general topology. Metric spaces. Euclidian space. Continuous and differentiable functions. Riemann integral. Uniform convergence.
Course Number  Section/Call Number  Session  Times/Location  

MATH4061S002  002/10929  Full Trm Crs 
Tu 06:15 PM–07:50 PM Th 06:15 PM–07:50 PM 

Instructor  Points  Enrollment  Method of Instruction  
Fabio Nironi 
3  Closed for Online Registration  OnLine Only 
INTRO TO MODERN ANALYSIS II
MATH4062S001 3 points.
Course Number  Section/Call Number  Session  Times/Location  

MATH4062S001  001/10955  Summer B Subterm 
Mo 09:00 AM–10:35 AM Th 09:00 AM–10:35 AM Tu 09:00 AM–10:35 AM We 09:00 AM–10:35 AM 

Instructor  Points  Enrollment  Method of Instruction  
Dobrin Marchev 
3 
Open for Enrollment (autofill waitlist) 
OnLine Only 
MAFN FIELDWORK
MATH5510G001 3 points.
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 offcampus 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  Section/Call Number  Session  Times/Location  

MATH5510G001  001/12288  Full Trm Crs 


Instructor  Points  Enrollment  Method of Instruction  
Lars Nielsen 
3  Closed for Online Registration  OnLine Only 