Study Tips for Introductory Physics Students
Compiled and edited by Dan Styer, Oberlin College Physics
Department;
http://www.oberlin.edu/physics/dstyer/StudyTips.html;
last
updated 21 May 1997.
This World Wide Web page gives tips that Oberlin College Physics faculty have
found useful for their students, particularly for students in introductory
physics courses. If you have suggestions, please inform the compiler.
Following these tips and suggestions will take more time and effort than does
a casual reading of the text, but they will pay off in a savings of time when
you do the problems, in a better understanding of physics, and in increased
confidence on exams.
General tips
- Keep up with the course. Once you fall behind it is very difficult
to catch up. If you ignore this advice and do fall behind (it happens
to the best of us sometimes), and if you cannot manufacture the time to do a
thorough job of catching up, then skim the passed-over course material for its
most important points and move on to a thorough study of the current course
material. Attempting a thorough study of last week's material usually results
in being one week behind for the entire semester.
- Do the reading before attending the lectures. This way way you
won't need to take notes on everything the lecturer says, because you will
already understand some of the material and you will know that some of it is
treated well in your textbook. If you follow this advice, then you can use the
lecture for what lecture is good at: asking questions, following the
demonstrations, discovering how this week's material fits into the overall
structure of the course, and gaining a conceptual understanding of the
material under study. At the same time you can use the text for what text is
good at: presenting derivations and sample problems, and getting the details
right.
- Devote a little time to studying physics each day, rather than a large
amount of time once a week: this allows the material to sink in.
- Make some friends in the course and work through the material in small
groups. Use these groups for discussion, problem suggestions, and
companionship. Throw ideas into the group's "pot" as well as drawing ideas
from it. Do not use your study group as a crutch.
- Attend the course's conference sessions to learn informal techniques that
are not well-taught through the lecture method.
- Do not memorize. In almost all cases, the temptation to memorize
indicates a simple a lack of understanding. In the words of Charles Misner:
"The equation F = ma is easy to memorize, hard to use, and even more
difficult to understand."
Tips regarding reading
- Read aggressively. The amount of reading assigned in a physics
course will be far less than the amount of reading assigned in a literature or
a sociology course, but the reading is much denser and your teacher expects
you to read it thoroughly, thoughtfully, and critically. Read with pencil and
paper in hand, and follow the algebra yourself. Keep a list of questions and
of points that you don't understand.
- Take notes in your book. Mark the most important points and record why
they are important. The act of deciding what is important is the first step in
turning reading from passive page-turning into active, aggressive--and
rewarding--penetration. (Some students take notes by highlighting with a
yellow marker. This is all right, but don't fall into the trap of highlighting
everything in your book!)
- Examine the sample problems carefully.
- If the reading is too dense, try skimming it once to get an overview of
what's going on, then coming back and reading in detail the second time.
- The active, aggressive reading advocated here is very time-consuming.
Reserve it for the most important parts of your textbook. You might be able to
get your teacher to list for you the most important sections, or you might
have to decide for yourself.
Tips regarding lectures
- Listen aggressively. What you get out of lecture is proportional to
what you put into it. If you follow the lecture, think about the material, ask
questions, and care about what's going on, then lecture will be an active,
productive learning experience for you. If you sit slumped in your seat, then
lecture will give you a backache and little more.
- Come to lecture armed with questions for your teacher, developed from
doing your reading.
- Some students are used to rewriting their lecture notes or taping lectures
and then listening to them twice. We discourage such practices, not because
they are useless, but because they are less profitable than other practices
advocated here. (In particular, taping a lecture does not record the
all-important blackboard display.)
- On the other hand, many students do find it useful to review each
lecture by making a simple list of the most important topics, and also a
different list of the puzzling aspects that need clarification. This review
can be done through your notes or in your memory or with your study group, but
it is best done soon after the lecture.
Tips regarding problems
- Do the reading and listen to the lectures before attempting the problems.
- Do not put off the problems until the night before they are due. In
particular, take a stab at the problems before conference sessions, so that
you can ask well-formulated questions there.
- Read the problem carefully to make sure you understand what is being
asked.
- Do not rush into solving a problem. Instead, first formulate a strategy
for solving the problem. Usually this is as simple as classifying the problem
according to its method of solution. Is it a "constant acceleration" problem?
A "work-energy" problem? A "Gauss's law" problem?
- If you find yourself writing pages of words or working reams of algebra,
then you are off on the wrong track. Stop, reread the problem, think,
reformulate your strategy, and then start over again from the beginning.
- Think of the problems as mystery stories. How would Sherlock Holmes
approach this problem?
- Don't search through your book for "the right equation". You will
not be able to solve your problem by finding an appropriate equation and then
plugging numbers into it. No self-respecting college-level teacher would
assign such a problem.
- If the final answer called for in the question is a number, then you will
ultimately have to plug numbers into an equation. But even in such cases it is
almost always easier and less error-prone to keep the quantities as symbols
until the very end. (For one thing, it is easier to do algebra with the symbol
"m" than with the value "2.59 kg".)
- Sometimes the problem statement will give you more information than is
needed to answer the question. Sometimes it will give you less information
than is needed, and ask you not for an answer but for a list of the unknown
information required to find an answer. Sometimes the problem will be a short
narrative from which you need to extract relevant information. Students often
find such problems exasperating, but in fact they develop an important
problem-solving skill called building a mathematical model. Problems
that arise in the world outside of your textbook usually come with more or
less data present than needed to solve the problem. The ability to recognize
which data are needed and which are irrelevant is an important practical
skill.
- Review your problem solutions when they are returned (or when model
solutions are handed out). Why did you make the mistakes you did? How could
you have avoided them? This review should be quick (after all, you have new
material piling up) but five or ten minutes spent in this review can save
hours by preventing similar mistakes in the future.
- More suggestions are available in the page Solving
Problems in Physics.
Tips regarding lab work
- Skim the lab instructions before coming to lab. You won't be able to
understand things fully without the equipment in front of you, but you'll get
a general overview that will serve you well and ultimately save you time.
- Don't be afraid to fiddle with lab equipment unless you have been
specifically warned away from it. Many students are reluctant to play with
electrical equipment because they're afraid of being shocked. Unless you are
told otherwise, the stuff used in lab won't hurt you.
Tips regarding exams
- Keep up with the course. Don't cram at the last minute.
- Get a good night's sleep. Even if you ignored the advice above and have to
cram, limit cramming in favor of sleep.
- Prepare a one-page summary of the material being examined.
- Don't memorize. Your teacher expects you to work with ideas and solve
problems, not plug numbers into equations.
- Bring to the exam a calculator (fully charged) and several pens or pencils
(sharpened).
- As you read an exam problem, place a check mark beside the given data and
underline the unknown quantity to be found. This will help you prepare a
strategy and help you avoid answering a question that is similar to but
different from the one that is asked.
- Make a sketch or graph to familiarize yourself with the situation. Make
sure you understand the problem before plunging in.
Weaknesses
- If you need help with mathematical background, consult either Arthur
Beiser, Essential Math for the Sciences (McGraw-Hill, New York, 1969)
or Daniel Kleppner and Norman Ramsey, Quick Calculus (Wiley, New York,
1985).
- Guard against the two most common failings: reliance on memorization and
on "plug and chug" problem technique.