Math 180 E
Fall 2012
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.
Please recall that calculators are not permitted on exams.
The first hour exam for Math 180 E will be held on Friday, September 28, and
will cover through section 2.8 of the textbook. In particular, be prepared
to:
- Know the basic functions (including inverse functions) and how to use
them.
- Know definitions (including, but not limited to, functions, composition,
inverses, tangents, and the informal definition of a limit.
- Be able to state formally and informally describe the theorems covered
in the exam material.
- Be able to calculate the sum, difference, product, and composition of
functions.
- Be able to find inverses of simple functions and be able to use inverse
functions (notably exponential, logarithmic) to
solve problems. Be able to use the basic formulas for exponential,
logarithmic, and trigonometric functions.
- Be able to find (and graph) the equations of lines (added 9/25)
- Be able to find basic limits
- Be able to find limits at infinity and horizontal asymptotes.
- Be able to state the IVT and apply it using the method of bisection.
- Be able generally to solve problems such as appear in the homework
assignments, including problems in the current homework assignments.