# Math 251 (Phillips) Midterm 2

## Three important notes on Midterm 2

Midterm 2 will be Wednesday 15 November in class.

Midterm 2 will be considerably more difficult than Midterm 1.

On maximization/minimization problems, a large part of the credit will be for correctly identifying the interval over which the maximization or minimization should be done, and for mathematically verifying that your claimed maximum or minimum really is one. Neither of these steps is tested on WeBWorK.

The Midterm 2 review session is Monday 13 November, 6--8 pm, 104 Deady.

## Math 251 (Phillips) Midterm 2 Sample Problems

There are four primary sources for sample problems for Midterm 2:

Solutions to items in the list above:

• Solutions to the items for Midterm 1 are linked or described on the Midterm 1 page.
• Written homework for Weeks 5, 6, and 7:
• Sample Midterm 2 solutions. These solutions are long, because I have included alternate solutions and discussion of what happens with methods that do not work. Also, for all implicit differentiation and related rates problems, I have included the solution in both function notation and dy/dx notation. Be sure to read at least one version of the solution to every problem, even the ones you think you got right. In particular, something you think gets the answer to a maximum/minimum problem may in fact get only half credit.
• Solutions to the worksheet for Midterm 2 used at the review session (pdf); AMSLaTeX. The AMSLaTeX version will also require this graph, this graph, and this graph.
• Answers to WeBWorK problems are available on WeBWorK after the due date of each assignment.

## Math 251 (Phillips) Midterm 2

The real exam and its solutions will not be posted until after the exam is administered.