Self-Graded Calculus Placement Exam

This self-graded exam will help you decide which Brown math course is right for you. The exam has four sections:

- SECTION A: (8 questions) covers differential calculus, including understanding, evaluating, and applying derivatives of functions.
- SECTION B: (4 questions) covers the basics of integral calculus, including understanding, evaluating, and applying antiderivatives and definite integrals.
- SECTION C: (4 questions) covers more advanced techniques in integral calculus.
- SECTION D: (8 questions) covers infinite sequences and series, parametric equations, and differential equations.

- You will need paper and pen to do the exam.
- Click on the links below to access each section of the exam.
- After taking each part, check your answers against the posted solutions.
- After taking all four sections, use the guidelines at the bottom of this page to interpret your results.

**If you had trouble with Section A, you will likely need to take a
first-semester single-variable calculus course.**
The most common choice is Math 0090, which is a standard introduction
to calculus. This course and all higher-level courses assume
familiarity with functions, algebra, trigonometry and, to a somewhat lesser
extent, exponential and logarithmic functions. If you consider
yourself weak in these background areas, you might consider taking Math 0050
(offered in the fall) and then Math 0060 (offered in the spring).
Together, Math 0050 and 0060 cover in two semester
similar content to Math 0090, but
they also include significant review of the background material.

**If you performed well on Section A but had trouble with Section B, you
are likely ready for a second-semester course with some review.** Math
0090 covers the material in Section B, but the follow-up course, Math 0100,
includes some review of basic integrals. If you have seen integrals before
and felt you understood them once, this review may be sufficient. If you
have never been comfortable with integrals, you may choose to take Math
0090 (much of which will be familiar), or you may wish to spend some time
reviewing integrals on your own before taking Math 0100. If you have never
seen integrals before, you should probably start with Math 0090.

**If you performed well on Sections A and B but had trouble with
Section C, you are likely ready for a second-semester course.** The
standard second-semester course is Math 0100, which begins with a few
weeks of review on integrals. If you felt reasonably confident about
the problems in Section B and wish to take on a faster-paced course,
you should take 0170, which is an advanced version of Math 0100 that
covers material more quickly and does not have recitation
sections. (If you find early in the semester that Math 0170 is too
fast-paced, you will be able to switch to Math 0100.) In addition,
there is an alternative second-semester course, Math 0190, which is
similar to Math 0170, but is targeted at physics and engineering
students. If you are considering concentrating in engineering or physics,
you should probably take Math 0190 instead of Math 0170.

**If you performed well on Sections A, B, and C, but had trouble with
Section D, you are definitely prepared for a second-semester course,
and some of the course will likely be familiar.** The best choice
for you is probably Math 0170, which is an advanced version of Math
0100 (the standard second-semester course) that covers material more
quickly and does not have recitation sections. In addition, there is
an alternative second-semester course, Math 0190, which is similar to
Math 0170, but is targeted at physics and engineering students. If you
are considering concentrating in engineering or physics, you should
probably take Math 0190 instead of Math 0170.

**If you performed well on all sections, you are likely ready for
multivariable calculus.** Brown has three multivariable calculus
courses. The standard multivariable course is Math 0180, which is
what most students take. Math 0200 is a version of multivariable
calculus that is targeted at students considering concentrating in
physics and engineering. Math 0350 is the honors version of
multivariable calculus. It is for students who are considering
concentrating in mathematics and those who enjoy the more theoretical
side of math. (If you start in Math 0350 and find early in the
semester that it is too fast-paced, you will be able to switch
to Math 0180.)