Advanced Placement in Mathematics at Rose-Hulman
Advanced Placement Programs and Credits
The mathematics department accepts advanced placement credit and transfer credit,
at the Calculus level (and possibly above) through several programs. The credits
given are described in the table below. A more complete statement on AP
and transfer credit is given on the Admissions
Advanced College Credit webpage. Many entering students at Rose have
advanced placement or transfer credit, especially in mathematics. Therefore,
specially recommended course sequences and special
sections are provided for advanced placement students in Calculus and Differential Equations courses. The Rose-Hulman
Placement Exams are discussed in a later section of this webpage. Though
this webpage covers most of the common advanced placement situations, special
situations may arise. If you have any questions about mathematics advanced
placement or transfer credit please contact the Department Head brought@rose-hulman.edu.
| AP Program |
Credit |
Score of 4 or 5 on the AB test for AP Calculus
or an AB subscore of 4 or 5 on the BC test. |
MA111-Calculus I (5 credits) |
| Score of 4 or 5 on the BC test for AP Calculus |
MA111-Calculus I (5 credits)
MA112-Calculus II (5 credits) |
| Score of 4 or 5 on the AP Statistics |
MA223 Engineering Statistics I (4 credits) |
| Score of 5 or better in the International Baccalaureate Exam
Mathematics Higher Level Exam
For other IB mathematics exams consult department
head |
MA111-Calculus I (5 credits) |
| Fast
Track Calculus program |
MA111-Calculus I (5 credits)
MA112-Calculus II (5 credits)
MA113-Calculus III (5 credits) |
| RHAMP program |
MA113-Calculus III (5 credits)
students who complete the RHAMP program
will have already obtained credit for MA111-Calculus I (5 credits) and
MA112-Calculus II (5 credits) trhough other means
|
RHIT Placement Exam Part I
RHIT Placement Exam Part II
RHIT Placement Exam Part III
prior appointment only, see below |
MA111-Calculus I (5 credits)
MA112-Calculus II (5 credits)
MA113-Calculus III (5 credits) |
| Transfer credits from accredited colleges. |
Credit as determined and approved by the
Mathematics
Department.
- A grade C or better is required,
- the topics covered must be a good match to the Rose course, and
- the number of (quarter equivalent ) credit hours must equal or exceed those of the corresponding RHIT course.
|
| RHIT credit by exam |
As arranged and approved by the Mathematics department. Please read the appointment restrictions below. |
Notes:
- Credit through the standard AP tests, the International Baccalaureate
exams and the Fast Track Program is automatic, once the appropriate scores
or successful completion of Fast Track has been confirmed.
- If you write AP exams in your junior year of high school but no AP exams
during your senior year, you may need to double check that Rose-Hulman has received
those scores.
- AP Credit and Transfer Credit do not carry a grade and are not averaged
into the GPA.
- Any special circumstances or questions should be brought to the Mathematics
Department for recommendation or approval.
- Students are not required to take the Advanced Placement credit and
may enroll in the equivalent RHIT course if they wish. The Mathematics
Department should be consulted for advice. In these circumstances the AP
credit or transfer credit will not be given.
Math Registration and Advising for AP freshman and transfer students
The recommended sequence of mathematics courses taken during the freshman
year depends on which AP/transfer credits a student receives and the student's major. The recommended sequences are given in the tables at the end of this section.
- The general rule of thumb
for freshmen in most majors is to complete the freshman/sophomore mathematics sequence
in the catalog order MA111, MA112, MA113, MA211, MA212, MA223/MA381, taking
a course every quarter until the mathematics requirements for the student's
major are complete. By following the prescribed schedule students will not be delayed
in taking other classes with math prerequisites, and, in some cases, the dependent classes
may be taken ahead of schedule. The student's mathematics sequence should be continued into
the sophomore year in the until all the required courses in the basic freshman/sophomore
sequence are completed.
- For transfer student different considerations may apply because of a need to get caught up in other areas. Follow the advice of the adviser.
- The Registrar's office will preregister freshmen in a Calculus or DE course which reflect their AP or transfer credit as known a few days before classes, including the successful place out exams. If a student has a gap in AP/ transfer credit (e.g., MA112 credit but no MA111 credit) they will be placed in the first course for which there is no credit.
- Students with no high school Calculus --based on information received by the Registrar's office --will be placed in special sections of MA111.
- Students whose AP credit or transfer credit information has arrived late at RHIT, or who have other questions about their preregistered math class should attend the Transfer Credit evaluation session held before freshman registration.
Maple and AP credit/transfer students. It is particularly important that freshmen
enroll in the prescribed mathematics class in the fall quarter in order to receive an introduction to Maple.
- During the
fall quarter a formal introduction to Maple is given to all freshman Rose
students in Calculus sections especially designated for freshmen, this introduction is not repeated in subsequent
quarters.
- There are a small number of non Fast Track freshman students whose first quarter course is MA211 or MA212. There is no introductory instruction in Maple in these courses, however the MA211 and MA212 instructors will arrange for out-of-class introduction to Maple.
- The same applies to transfer students, a group of students whose first quarter math course is quite variable.
- Maple is used throughout the Calculus and DE sequence and so students will have continuing reinforcement of Maple usage.
- The Learning Center offers Maple review for those who need it.
- For a very small number of students, particularly transfer students, a different sequence of
courses may be appropriate, though this must be discussed with and approved
by the advisor, seeking advice the Mathematics Department as needed. As
always, the advisor must approve all courses taken by the student in every
quarter.
- Freshman students whose first quarter schedule does not include a math course should be interviewed by the Mathematics Department head so that they will know the consequences of missing the introduction to Maple.
CSSE Majors: Freshmen with advanced math placement in
CSSE majors, with the approval of their advisors, may consider taking one
or more of the delayed sequence MA275 and MA375 during their freshman year
provided that they do not get off track in their Calculus/DE sequence.
Changes can occur: The curriculum of Rose-Hulman changes on
a continuing basis. Consequently, mathematics courses taken by various majors
are modified from time to time. The course numbers given in the tables are
those that will be in effect for incoming freshman and transfer students
for Fall 2010. The
mathematics portion of the undergraduate bulletin is on our Math
Catalogue web page.
| Credit Received |
Majors |
FR Fall |
FR Winter |
FR Spring |
| Calc I |
All but AB, BC, CHEM, CS, SE |
MA112 |
MA113 |
MA211 |
| |
AB, BC, CHEM, CS, SE |
MA112 |
MA113 |
MA212 |
| Calc I, II |
All but AB, BC, CHEM, CS, SE |
MA113 |
MA211 |
MA212 |
| |
AB |
MA113 |
MA212 |
MA223 |
| |
BC and CHEM |
MA113 |
MA212 |
MA381 |
| |
CS and SE |
MA113 |
MA212 |
MA381 or MA elective |
| Calc I, II, III or Fast Track Calculus or RHAMP |
AB |
MA212 |
MA223 |
|
| |
BE, CE, CHE, EP, ME, OE |
MA211 |
MA212 |
MA223 |
| |
BC and CHEM |
MA212 |
MA381 |
|
| |
CPE and EE |
MA211 |
MA212 |
MA381 |
| |
CS and SE |
MA212 |
MA275, MA381 or MA elective |
MA375, MA381 or MA elective |
| |
ECON |
MA211 |
MA212 |
MA223 or MA381 |
| |
MA |
MA211 |
MA212 |
MA371 or MA381 |
| |
PH |
MA211 |
MA212 |
MA371 |
Notes:
- Many students take good advantage of their advanced placement
credits by pursuing a double major,
minor or certificate program. In this case the MA elective course should
be selected with care in order to achieve maximum benefit from advanced
placements. Students in this situation should make out a four year timetable
early on, in consultation with their advisor.
- MA211 is not a required course for CS and SE majors but is frequently
taken as an elective. If taken as an elective it should be taken as soon
after MA212 as is practical.
Rose-Hulman Calculus Placement Exam
Parts I, II, III of the RHIT Placement Exam are administered
during orientation week, through prior appointment only. It
is our recent experience that although 40% or more of students receive
some form of mathematics placement, only a very small number of students per year do
so through RHIT placement exams. This is not because the placement exams
are unduly difficult but rather that most students likely to achieve
advanced placement have already done so through the formal programs described
above. Thus the RHIT Calculus placement Parts I, II and III will only
be administered for students who have not had the opportunities for formal
placement, or are seeking a higher placement than they have achieved
through the formal programs. It is expected that the students will contact
the department head in advance of arriving on campus
for an appointment and commit to substantial self-study and preparation
during the summer.
Contact: brought@rose-hulman.edu
The topics covered in the three exams are approximately
as in the table below. Current syllabi, including texts used,
for the Calculus courses may be found here.
| Part I - Calculus I |
Part II - Calculus II |
Part III - Calculus III |
- functions, domains, ranges, and graphing
- ability to work numerically, algebraically and graphically with
the following functions: polynomials, rational and algebraic functions, exponential,
logarithmic, and trigonometric functions
- inverse functions
- parametric equations
- limits, including L'Hopital's rule
- derivatives, including formal definition, higher derivatives,
all derivative rules, implicit differentiation and derivatives of
the above functions
- velocity and acceleration as derivatives
- tangent lines, slope and concavity
- max-min problems
- related rate problems
- curve sketching
- simple integration up to the substitution rule
- areas between curves
|
- integration, Riemann sums, Fundamental Theorem of Calculus
- integration techniques including substitution rule, integration
by parts and partial fractions
- improper integrals
- Trapezoidal and Simpson's rule
- applications of integration including area, volumes of revolution,
surfaces of revolution, arclength, work, mass of a 1-dimensional objects
- solution of differential equations by separation of variables
- simple applications of differential equations: population
growth, exponential decay, cooling/heating, and falling bodies
- sequences and series, integral, comparison and ratio test
- Maclaurin and Taylor polynomials and series
- Calculus I topics that form the foundation of the above topics
|
- polar coordinates
- vectors in the plane and space, including dot product, cross product,
projections
- lines and planes in space
- velocity and acceleration, curvature, normal and tangential components
of acceleration
- partial derivatives, tangent planes, normal lines, gradient, chain
rule, directional derivatives
- maxima and minima, Lagrange multipliers
- double integrals in rectangular and polar coordinates
- triple integrals in rectangular, cylindrical, and spherical coordinates
- applications of multiple integrals including volume, mass, moments,
centroids
- Calculus I and II topics that form the foundation of the above
topics
|
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