To prepare for Calculus I, here are some suggestions from
Tami
Matsumoto's web pages:
- Take this sample (unofficial) calculus
readiness exam.
Go to: http://mdtp.ucsd.edu/test_new/?show_instructions=3
Read the directions before you start.
There are 40 questions and you should use
pencil and paper to work the problems (Don't
try to do them all in your head).
When you finish the test, it will tell you
which you got right/wrong and what the correct
answers are. You also get scores separated out
into topic areas, to help you decide what to
review.
- Look over the lists on these pages and when
you come across something
you feel un-confident about, add it to your
list of things to review:
- Go to the 'Visual Calculus' website at: http://archives.math.utk.edu/visual.calculus/
Just look at the Pre-Calculus stuff,
but check it out! There are modules for all
kinds of useful stuff!!
- Off the top of my head, these are things
important to review:
- Radicals, expressions involving radicals
- How to type complicated things into your
calculator (like messy rational functions,
for example)
- Domains of functions, and, in
particular, when there are problems with a
domain
- Even Functions, Odd Functions (what are
they, how can you tell, what happens in
the graph, what happens algebraically)
- General geometry formulas: Perimeters,
Areas, Volumes of simple solids
- Reading graphs
- Lines, slopes, equations of lines,
getting an equation from two points
- Roots of functions
- Absolute Value equations and
inequalities
- The main things to review, for starters,
are functions, function operations (esp.
function composition), function inverses,
function behavior, graphs of functions,
and "average rate of change."
- Special families of functions you should
know the characteristics of
- Trig function definitions -- unit circle
model, and right triangle model
- Trig function values for the basic
angles
- Trig identities
- Interval Notation
- Look over Chapter 1 of the calculus
textbook:
Calculus - Early Transcendentals by
James
Stewart (see link below).
I would recommend, as preparation for the
course, a thorough review of all
the material in Chapter 1. See what is there,
and then review the
corresponding parts in your algebra book, when
applicable.
Note that the text comes with a CD that has
helpful information for the exercises which
have squares around the
problem number.
Chapter 1 in our text is considered review for
this course.
Assess and inform yourself, using the Chapter
1 Tutorial Quizzes at the Companion
Website:
http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M20b&product_isbn_issn=0534393217&discipline_number=1)
- Also, San Jose State has some assessment
tests broken out into
categories. Check them out:
http://www.math.sjsu.edu/~valdes/calc_place/home.html
- And for MORE FUN:
These "Mathlets" are excellent
Java Applets that are fun
to play with as you review. Look over the
"Precalculus"
section of applets for your reviewing! http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/topframe.html
- And for MORE FUN: http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/topframe.html
These "Mathlets" are excellent Java Applets that are fun
to play with as you review. Look over the "Precalculus"
section of applets for your reviewing!