Math Placement
Who should read this? This document addresses placement questions for incoming students and
for undergraduates who have not yet taken a math course at Duke.
Note for potential math majors: If you are considering
a major in mathematics, and if you have advance credit for first and
second semester calculus (Math 31 and Math 32), then you should read
about Math 105. Potential math majors
should also contact the Director of Undergraduate Studies in Mathematics,
Professor Chad Schoen or the Associate Director of Undergraduate Studies in Mathematics,
Dr. Clark Bray. (If you have placement questions, please use the SFI Placement Advice contact page.)
Course codes: The placement information below refers to math courses by number. If you wish
to see a detailed description of a course, then you should refer
to the
Bulletin of Undergraduate Instruction for descriptions of all math courses.
Quick Index
First-year Seminars
Each year the Math Department offers one or more seminars for
first-year students. The seminars vary from year to year, and you can
check the Registrar's Course Schedule
to see what particular seminars are being offered in the current semester. First-year seminars carry the number 49S
in all departments. The following is a list of topics offered in first-year math seminars in recent years:
- Applications of Mathematics to Physiology
- Game Theory and Democracy
- Introduction to Cryptography
- Tilings, Symmetry, and Geometry
The prerequisites for math seminars vary, and you can check what these
prerequisites are by reading the information linked from the
Registrar's Course Schedule.
Information for Students who have had little or no calculus
The entry level for mathematics is Math 25L or
Math 31L. The following table provides guidelines for
making the choice between these two courses:
| Course |
Minimum Math SAT |
Minimum Math SAT II |
| Math 25L |
520 |
500 |
| Math 31L |
680 |
680 |
If your SAT and SAT-II scores do not indicate consistent placement
in this table, or if your
scores indicate borderline qualification for Math 31L and you've had no calculus whatsoever, then it would be
advisable to start with Math 25L.
Information for Students who have had a year of calculus
For students who have taken the AP test: If you have earned
credit based upon your
Advanced Placement
score, then generally you should enroll in the next higher course; however,
we have found that students may have difficulty in second-semester calculus unless they also
meet certain minimum SAT and Achievement score levels.
If you have AP credit for Math 31, an SAT score of at least
680, and an
SAT-I or SAT-II score of at least 680, then you should enroll
in a calculus II course. In fall semesters Math 41L is reserved for
entering students who fit this situation (and Math 32L is reserved for
students continuing from Math 31L or Math 26L). In spring semesters
Math 41L is not offered but Math 32L is open to all students who
qualify for calculus II.
The document,
Second-semester Calculus
, provides more information about these courses.
If you have AP credit for Math 31, but you do not meet the minimum
SAT
and SAT-I/II levels of the last paragraph, and if you need to continue
in calculus, then it's ususally best to forgo your AP credit for Math
31 and "start over" with Math 31L so that you gain experience in
college-level calculus before you proceed to second-semester calculus.
On the other hand, if you're not certain that you need credit for more
than one semester of calculus, another strategy in this situation is
not to take any math during your first semester; then you could wait to
decide what to do after you have been in college for at least a
semester and after you have a better idea of what academic direction
you will take. After all, it's possible you won't need any more
calculus beyond the one AP credit you've already earned.
If you have AP credit for Math 32, then you can enroll in Math
103, if you need to take multivariable calculus. If you are considering majoring in
economics, then you should read about
Math 102.
If you are considering majoring in mathematics, then you should read about
Math 105.
If you have had a year of calculus and took the AP test and did not
earn credit, then you should place into Math 25L or Math 31L as
indicated by the SAT chart earlier in this document.
For Students Who Have Taken an International Entrance Exam:
Requests for credit based on an internationally recognized entrance
examination, such at the International Baccalaureate, the British
A-level, the French Baccalaureate, and the German Arbitur, should
be sent to the Registrar. A student can
receive up to two credits for one of these tests. In general if Duke
grants you credit for a course, then you should enroll in the next higher
math course. For example, some international students score high enough
on the higher level IB math exam to receive credit for Math 31 and
Math 32, and will then be placed into Math 103
(or Math 102
or
Math 105).
Students who receive credit for Math 31 can enroll in Math 41L (in fall
semesters) or Math 32L (in spring semesters). If your situation is
different from these cases, or if you desire some other placement based
upon
work out of the country, then you should meet with the Supervisor of First-year Instruction
to discuss placement.
For students who have not taken the Advanced Placement Test or an
International Entrance Exam:
If your SAT score is at least 700 and your SAT-I or SAT-II score is at least 700, and if you feel
you have a strong background in calculus, then you may enroll in a second-semester calculus course (see
Second-semester Calculus
for more information)
if you are willing to accept the inherent risk--although the safer
academic route would be to enroll in Math 31L.
On the other hand, if
you are in this situation but wish to place beyond
second-semester calculus, then you should write to the Supervisor of First-year
Instruction, and describe the
contents of the math courses you have had (e.g., textbook and chapters
covered), how well you did in those courses, your SAT and Achievement
scores, and a statement of the placement you desire. It is especially
helpful if you can FAX (919-660-2821) or email a copy of the syllabus, including
the title of the textbook you used and the sections you studied.
If your SAT score is below 700, you should enroll in either Math 25L or Math 31L, according to the table above.
Information for students who have completed a course in
multivariable calculus or higher level mathematics
First, you should be aware that our multivariable calculus course,
Math 103,
includes an important chapter on vector calculus, including line
integrals, Green's Theorem,
surface integrals, and Stokes' Theorem. This material accounts for
approximately a fourth
of our course; thus, if your multivariable calculus course did not
include these topics and if you plan to continue taking math, then you
should enroll in Math 103 (You may also want to consider Math 104, to
be followed by Math 105, if you're interested in being a math major.)
If you have been granted "pre-matriculation" credit for Math 103, and
if you want to proceed to a higher level math course
in your first semester, then you can simply enroll in the appropriate
course when your registration window opens in the summer.
For example, if you are an engineering student, then you would normally
take Math 107 next. (Unless you plan on getting a double
major with math. Please see FAQ #14 below.)
If you do not have credit for Math 103, but you have studied all of the
topics in Math 103 and you feel you should take a course numbered above
Math 103, then write to the Supervisor of First-year Instruction.
In your email message you should describe the
contents of the courses you have had (e.g., textbooks and chapters
covered), the name of the school where you took the courses, how well
you did in the courses, your SAT and Achievement
scores, and a statement of the placement you desire. It is especially
helpful if you can email copies of the syllabi, including
the titles of the textbooks you used and the sections you
studied. Note, Math 103 covers multivariable calculus at a level
that is more rigorous and substantial than high school courses; so,
even if have studied all of the topics in Math 103, you should still
expect to find Math 103 to be a challenging course.
Questions
Many questions are in this list of
Frequently Asked Questions.
If you have a question about enrollment, wait lists, or permission numbers, see the Enrollment Policies Page for first- and second-year courses in the Mathematics Department.
If you have placement questions not covered in the FAQs above, you can send an email message to
the Supervisor of First-Year Instruction.
Additional web pages:
Information for First-Year Students
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