Math 180 C

Fall 2006

Exam 2 Review

Disclaimer: I have attempted to be comprehensive in thefollowing, but important items may have been omitted by mistake. Ifyou see such an omission, please let me know, but you are responsiblefor all of the lecture material to date.

The second hour exam for Math 180 will be held on Friday, October  26, and will cover section 2.3 through section 3.2 of the textbook.  In particular, be prepared to:

• Be able to give a formal definition of a limit and demonstrate how one can find an appropriate δ for a given ε (for a simple function).
• Be able to find infinite limits and to identify asymptotes and give (rough) sketches of graphs of functions.
• Define continuity and identify points at which functions may not be continuous.
• Know the basic properties of continuous functions, including the intermediate value theorem (and its applications).
• 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, rational, exponential and trigonometric functions, and products and quotients of functions.
• Be able to construct tangent lines to points of a curve.
• Be able to calculate (and describe) marginal cost, marginal revenue.

Any questions? Please ask!