Math 121 B

Spring 2006

Exam 2 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.

The second hour exam for Math 121 will be held on Friday, March 3, and will cover section 2.3 through section 3.2 of the textbook.  In particular, be prepared to:

• Define continuity, identify points at which functions may not be continuous.
• Know the basic properties of continuous, including the intermediate value theorem.(the exam review had this incorrectly as mean value theorem)
• Know the properties of exponential and logarithmic functions, and how to solve problems using them.
• Know the definition of a derivative, and be able to find (simple) derivatives using the definition. Know the relationships between derivatives and tangent lines.
• Know the rules for calculating derivatives: In particular be able to calculate the derivatives of polynomial and rational functions, and products of functions.
• Be able to construct tangent lines and normal lines to points of a curve.
• There may be a brief (5 pts.) question about one of the mathematicians discussed in a homework assignment at the end of a section (assigned reading or perhaps not).  All that will be asked for on this exam will be a brief sentence saying what the mathematician did relative to our course of study.

Any questions? Please ask!