Calculus II at Duke
Entering students who have AP or prematriculation credit for Math
should enroll in Math 122L. Math 122 is not currently being
offered. Math 32L is not open in the fall to incoming students.
In fall semesters Math 112L is reserved for continuing students who
have taken Math 106L or Math 111L. In spring semesters Math 112L will be
the only second-semester calculus course offered and will be open to
any students with AP credit for Math 21 or Duke credit for Math 106L or
Although Math 122 still appears in the catalogue, it is no longer being offered. It will continue to be used for the
purpose of granting transfer credits, but it is expected to be
phased out as a course offered at Duke.
The Mathematics Department in recent years has offered three
versions of second-semester calculus: Math 122, Math 112L, and Math 122L.
Math 112L was designed to follow Math 111L (or the 105L/106L sequence) as
our standard, laboratory-based calculus II course. On the other hand,
Math 122 continued the content and pedagogy of the College Board's older
advanced placement calculus courses. But the AP courses have changed,
and our lab-calculus courses provide a more modern approach to teaching
calculus. Thus, we developed a lab-calculus version of calculus II,
i.e. Math 122L, which is intended for students with AP credit for Math
21. Now that Math 122L is fully developed and implemented, there is no
longer a need for Math 122.
1. If another department at Duke lists Math 122 as a requirement, how can I satisfy that requirement?
Such a listing should eventually be updated. Credit for either
Math 112L or Math 122L will satisfy such a requirement. Nevertheless, we
encourage students to confirm this interpretation with the other
department. If there is any question raised by an official in another
department, the student can get the matter resolved by refering that
person to this web page or to the Supervisor of First-year Instruction
2. If I have credit for Math 111L or Math 106L at Duke, may I enroll in Math 122L?
Math 122L is designed for students who have AP credit for Math 21. Math
112L is designed for students who have taken Math 111L or Math 106L here
3. If I am a sophomore (or junior, or senior) at Duke who has never
taken a math course at Duke, may I enroll in Math 122L based on my AP
Yes, the guidelines for your case are the same as for an entering student.
4. I have AP credit for Math 21 and would like to take Math
112L in the Spring. I know that this course lists Math 111L as a
prerequisite, and that my AB AP curriculum is not exactly the
same. What are the differences that I should make sure to prepare
for before entering Math 112L?
You should make sure to learn
Euler's method and L'Hospital's rule, both of which are covered in Math
111L. You should be prepared for the fact that Math 111L covers a
wider variety of applications of differential equations (see the Math
111L syllabus), and emphasizes a deeper conceptual understanding of
Riemann sums, the fundamental theorem of calculus, and differential
equations, than many AP AB courses. Finally, note that
students who have taken Math 111L will have gained substantial
experience with writing lab reports, which will be an important skill
in Math 112L.