Information about Homework in Math 120 - When you write up your
homework, you want to show all work involved in your solutions. There are
several reasons for this. One is that, since most answers are in the back of
the book, we will be grading the homework based on the work you show. If no
work is shown, no credit will be given. Second, you should write all the work to
convince yourself that you know what you are doing. Third, by including all
work, you can use the homework to study for exams and quizzes.
- To
keep your work neat, don't write in multiple columns. That is, the problems
should run down the page, one after another, not jump side to side. This might
take a little more paper, but it will be much easier for the grader to read, and
for you to read later.
- The problems should appear in your homework in
numerical order so that the grader knows where to find the problems they will
grade. If a problem is not in its proper numerical place, make a note to the
grader letting them know where to find it.
- Don't worry about using
more paper. Conservation is a good thing, but education is also. You can buy
recycled paper to compensate a little.
- Very often, homework problems
will involve sketching graphs and figures. For this reason, I strongly
recommend you use graph paper for these problems. In fact, it wouldn't be a bad
idea to use graph paper for all homework in this class. It will really help you
create more useful sketches and graphs.
- When turning your homework
in: be sure to know your quiz section (AA, AB, AC, or AD) and write it on your
homework along with the course number, your name, and the date. This will
ensure that your work ends up in the right place, and that you'll know how to
file it when it is returned to you. Keep all returned work for the duration of
the quarter!! It will be useful for studying, and also will act as a backup
record of your scores.
- Be sure to staple your work together before
you turn it in. I won't have a stapler at the lecture, so staple it before you
get there, or bring your own stapler. Paperclips really aren't sufficient for
the hundreds of pages that have to be dealt with each week. It is your
responsibility to make sure that your pages do not get separated.
- You may use pen or pencil to write your homework solutions. Pen
has the advantage of legibility and permanence, while the pencil has the
advantage of erasability.
- A question that often come up is how the homework solutions should be
written. People often ask if they need to write a lot of words, or write in a
formal mathematical way. The answer is that you don't need to include verbs (or
most other types of words), although you are welcome to. It can be a very
helpful thing to do: verbalizing your thought process is a good way to get the
process out there where you can analyze it and make sure it makes sense. The
same thing happens when you talk to people about what you are doing. In fact,
talking about mathematics causes different parts of your brain to come into
play, and you can really improve your understanding this way.
Also,
including some words in your write-ups is also a good way to help them make
sense when you read them later while studying for exams. Think: will this
solution make sense eight weeks from now when I'm studying for the final? If
not, maybe a few words could improve that.
- An important aspect of the work you do in this class is the accuracy of your
answers. Very often you will working with fractions and decimals, and it is
important that we make sure that we are doing what we reasonably can to keep our
answers as accurate as possible. When using decimal expressions for fractional
quantities, the result is often an approximation (e.g., 1/3 is approximately
0.33333), and the fewer decimals you use, the more error you are introducing
with the approximation. So, you should use lots of decimals in your
representations. I would suggest using at least 4 or 5 digits in your decimal
representations. For instance, the fraction 1/782 can be reasonably accurately
represented with the decimal 0.0012788.
Note that it actually requires
less writing to use 1/782, and by using the fraction you won't be introducing
any error.
If you round too much (i.e., if you don't use plenty of
digits) in your calculations, your answers will be inaccurate, and you may lose
points on homework and exams.
- So, use exact values as much as possible! For instance, the square root of
two takes only two symbols to write, but a good approximation takes a bunch: 1.414213562... .
When we carry the quantity around as the square root of two we avoid issues
with rounding, and don't lose accuracy as the calculation proceeeds. Also, you
stand much less than of transcribing the value incorrectly (e.g., missing
a digit, or changing a one to a seven).
- Regarding grading of homework: We have a course grader who will grade the homework. The grader will be grading
three problems per homework assignment (which works out to one problem per chapter). I
choose the problems the grader grades each week.
The three problems are graded out of a possible 4 points. In addition, up to 4
points are assigned for "completion": if the assignment looks mostly complete,
you get 4 points; not so complete, fewer points. Thus, each assignment is worth
a maximum of 16 points.
The intent is that, with all of the course resources - lecture, quiz section, my
office hours, your TAs office hours, the MSC, CLUE, the discussion board - you
should be able to solve and write up a complete solution to every problem. As a
result, a grading a sampling of the problems turned in is sufficient.
From a practical point of view, another reason for only grading a few problems
per assignment is that grading is extremely time consuming, and we only have so
much money to pay the graders in this course.
- The homework that is due the week before exams will most likely not be
returned to you before the exam. It might be helpful for you to photocopy your
work and keep the photocopy to study from.
If you have any other questions about homework, feel free to ask.