Math 122 C
Exam #1 review:
Disclaimer: I have attempted to be comprehensive in the following,
but important items may have been omitted by mistake. If you see such
an omission, please let me know, but you are responsible for all of
the lecture material to date.
Notes:
- In calculus classes, you need to show sufficient work so that I can see
how you get to an answer. Credit may not be given simply for an
answer.
- You will not need a calculator for this exam.
- This is a draft, and may be further refined Monday.
The first hour exam will be on Friday, September 23, and will cover material
the review material and chapter 5 through integration by substitution.
Material
- Be able to give both formal and informal definitions of a limit. Be
able (for simple problems to give me a rule for finding an appropriate
δ for a given ε and show that your rule works.
- Be able to give both formal and informal
definitions of continuity.
- Be able to take the first few steps in the
method of bisection.
- Be able to define the derivative, construct
a difference quotient of a function, and use the definition in simple cases.
- Be able to take the first few steps in the
Newton-Raphson method.
- Know and be able to use the rules for
manipulating sums.
- Be able to give a definition of Sn and of
Riemann sums.
- Be able to state the fundamental theorems
of calculus
- Be able to do integration problems of the
sort we have examined in homework. The integration formulas we have
seen so far are basic and should probably be memorized.