The Department of Mathematics
Department website: math.barnard.edu
Office location: TBD
Office contact: TBD
Department Chair: Daniela De Silva, ddesilva@barnard.edu
Department Manager: Julian Escarraga, jescarraga@barnard.edu
Department Assistant: Jamie Karr, jkarr@barnard.edu
The Study of Mathematics
Students major in mathematics for many reasons: some are drawn by the beauty of the subject, others by its practicality, and many by a combination of the two. Mathematics provides outstanding training for the mind and develops skills in logical reasoning and problem solving. It plays a central role in science, technology, economics, and data-driven fields, from climate modeling and genomics to finance and medicine. Long the language of physics, mathematics is an essential component of nearly all the sciences, especially in an era of computation and modeling. An undergraduate degree in mathematics opens the door to a wide range of careers and to graduate study in mathematics and many related disciplines.
Please see the Math department website for a link to career resources.
Programs of Study
Math majors include Mathematics, Applied Mathematics, Mathematical Sciences, Mathematics-Statistics, Mathematics-Computer Science, and Economics-Mathematics.
Math minors include Mathematics and Mathematical Sciences.
Program-level Student Learning Outcomes
Students graduating with a major in Applied Mathematics should be able to attain the following outcomes:
- Demonstrate mastery of core foundational concepts, structures, and problem-solving techniques in mathematics.
- Analyze mathematical and physical systems through theoretical abstraction, analysis, and differential modeling.
- Construct, evaluate, and critique logically sound mathematical arguments, models, and rigorous proofs.
- Communicate complex mathematical ideas clearly and precisely in written and oral formats and synthesize advanced mathematical literature independently.
- Engage in collaborative problem-solving, peer dialogue, and structured mathematical investigation.
Student Advising
Advising Resources
- Students who have special placement problems, are unclear about their level, or would like to know more about course offerings should make an appointment with a faculty member or the Chair. Information about Student Advising with links to advisor contact information can be found on our website.
- Open House events are scheduled each semester for prospective and current math majors to meet faculty, ask questions, and get to know each other.
- A Students' Guide to Studying Math at Barnard, available on our website, is a useful guide written by and for students. It answers many frequently asked questions and provides comments and opinions from math majors.
Courses for First-Year Students
The systematic study of Mathematics begins with one of the following alternative sequences:
Credit is allowed for only one of the calculus sequences. The calculus sequence is a standard course in differential and integral calculus. Honors Mathematics A-B is for exceptionally well-qualified students who have strong advanced placement scores. It covers second-year Calculus (MATH UN1201 CALCULUS III–MATH UN1202 CALCULUS IV) and MATH UN2010 LINEAR ALGEBRA, with an emphasis on theory.
Calculus II is NOT a prerequisite for Calculus III, so students who plan to take only one year of calculus may choose between I and II or I and III. The latter requires a B or better in Calculus I and is a recommended option for some majors.
MATH UN2000 INTRO TO HIGHER MATHEMATICS is a course that can be taken in their first or second year by students with an aptitude for mathematics who would like to practice writing and understanding mathematical proofs.
An additional list of Courses Recommended for First-Year Students can be found on our website.
Placement in the Calculus Sequence
College Algebra and Analytical Geometry is a refresher course for students who intend to take Calculus but do not have adequate background for it.
Advanced Placement: Students who have passed the advanced placement test for Calculus AB with a grade of 4 or 5 or BC with a grade of 4 receive 3 points of credit. Those who passed Calculus BC with a grade of 5 will receive 4 points of credit or 6 points on placing into Calculus III or Honors Math A and completing with a grade of C or better.
Calculus I, II, III: Students who have not previously studied calculus should begin with Calculus I. Students with 4 or higher on the Calculus AB or BC advanced placement test may start with Calculus II. Students with 5 on the Calculus BC test should start with Calculus III.
Honors Mathematics A: Students who have passed the Calculus BC advanced placement test with a grade of 5, and who have strong mathematical talent and motivation, should start with Honors Mathematics A. This is the most attractive course available to well-prepared, mathematically talented first-year students, whether or not they intend to be mathematics majors. Students who contemplate taking this course should consult with the instructor. If this is not possible ahead of time, they should register and attend the first class.
Math Tutoring
Two help rooms, one in 404 Mathematics (on Columbia's campus) and one in 502 Milstein Center (on Barnard's campus), are available. Hours will be posted in the rooms and on https://math.barnard.edu/math-tutoring-schedules for students seeking individual help and counseling from Barnard tutors and Columbia teaching assistants. No appointments are necessary. Both Barnard and Columbia students are welcome. NOTE: Changes to tutoring schedules and remote tutoring can occur.
Preparation for Graduate Study, Business, or Teaching
Please read the first paragraph of the Requirements tab.
Coursework taken outside of Barnard
Advanced Placement Credit
Please see AP Scores by Subject on Barnard's website. Please note that Barnard does not grant major credit on the basis of exam scores; the college only permits course exemptions. Majors in the department must substitute another course for any exemption they receive on the basis of an exam score. Please speak to your major advisor or Chair about your situation.
Columbia College Courses
Please speak to your major advisor or Chair about which Columbia College courses are accepted toward your math major prior to registering for a course.
Transfer Credit
When students wish to transfer credit to Barnard from other institutions, their coursework is first evaluated for college elective credit by the Registrar’s Office. If they are approved, departments can consider these courses for credit toward the major or minor. Please speak with your major advisor or Chair.
Study Abroad Credit
- Classes taken abroad through Columbia-led programs (i.e., those administered by Columbia’s Center for Global Engagement) are treated as Columbia courses, equivalent to those taken on the Morningside Heights campus.
- Classes taken abroad through other institutions or programs are treated as transfer credit and are subject to the same policies as other transfer courses. Accordingly, there will be a limit on the number of study abroad courses taken at other institutions that can be counted toward the major or minor.
- To receive credit toward the major or minor for a study abroad course (whether taken through a Columbia program or another institution/program), students must submit a Study Abroad Approval form through Slate and obtain the approval of the Chair or departmental representative.
Summer Credit
- Summer courses at Barnard are equivalent to those taken during the academic year. Courses that have been approved for the fulfillment of departmental requirements will automatically count toward the major. For credits toward the minor, please speak to your advisor or Chair.
- Courses taken at other institutions (including Columbia) are considered transfer credit and are subject to the same policies governing other transfer courses. To receive major or minor credit for a summer course taken at another institution, students must submit a Summer Course form through Slate and have it approved by both the Registrar’s Office and the Chair or department representative.
Senior Capstone Project
The Capstone Experience can be fulfilled by a senior thesis written under the supervision of a faculty member in your major area, or by completing the course Undergraduate Seminars in Mathematics. To learn more about courses needed for the major, please read the Requirements tab.
Departmental Honors and Prizes
Prizes and Awards provided by individual donors for students are listed on the math website.
Other Important Information
Professional Organizations
- Barnard's Mathematics Department is an Institutional Member of the Association for Women in Mathematics (AWM). All Barnard math majors receive a free student membership. They can participate in the AWM Columbia Chapter meetings and events.
- Women in Mathematics and Statistics, in association with the Mathematics and Statistics Departments at Barnard and Columbia, offer free presentations that you can attend throughout the year.
Chair
Daniela De Silva (Ann Whitney Olin Professor of Mathematics)
Professor
Dusa McDuff (Joan Lyttle Birman ’48 Chair of Mathematics)
Assistant Professor
Marco Castronovo
Alisa Knizel
Semon Rezchikov
Lecturer
Lindsay Piechnik
Term Associate Professor
Cristian Iovanov
Visiting Associate Professor
Wenjian Liu
Professors Emeriti
Dave Bayer
Joan Birman
Links to other faculty of Columbia University offering courses in Mathematics:
Faculty by Rank: http://www.math.columbia.edu/people/faculty-by-rank/
Alphabetical Faculty Listing: http://www.math.columbia.edu/people/alphabetical-faculty-listing/
Applied Mathematics Major - 14 courses (a minimum of 40 credits) in the following three categories:
(Specific course requirements for the Applied Mathematics major can be found on the Requirements tab under Mathematics.)
1. Five required courses in Calculus and Linear Algebra (minimum of 13 credits).
Please follow one the sequences suggested for the Mathematics major.
2. Three required courses: Analysis, a one year long senior seminar requirement, a research requirement (minimum of 9 credits).
- Please note that APMA E4901, APMA E3900, and APMA E4903 should be taken in this order starting either in the Fall or in Spring of Junior year, according to when E4901 is offered.
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Please note that in order to register for APMA E3900, students must first secure a mentor within the Columbia Applied Mathematics Department. Once a faculty member has agreed to serve as mentor, a section of APMA E3900 will be opened for the student.
Students are encouraged to begin contacting potential mentors while enrolled in APMA E4001, and, if appropriate, to consult with the instructor of that course for guidance in identifying suitable faculty members.
3. Six electives in mathematics and cognate courses - at least two in mathematics (MATH 2000, APMAE2100 and above) (minimum of 18 credits).
For a list of accepted cognate courses, refer to: https://bulletin.columbia.edu/columbia-college/departments-instruction/mathematics/#requirementstext
Possible mathematics elective include but are not limited to:
Please notice that you cannot receive credit for APMA E3101 since it overlaps with the linear algebra requirement.
Specific courses for the major in Applied Mathematics can be found on the Courses tab under Mathematics.
