Math 111 Midterm Information

Date: Tuesday December 18^th

Time: 8:00 – 9:50a.m.

Location: 062 Willard

Old Material:

8.1 – Domain, Computing values of a multi-variable functions, Revenue Functions

8.2 – First and Second Partial Derivatives, Marginal Productivity, Substitute/Complementary Commodities

8.3 – Finding Critical Points, Second Derivatives Test, Maximization/Minimization Applications

8.4 – Least Squares lines and their applications

8.5 – Lagrange multipliers and their applications

8.6 – Differentials and their applications

You can find good sample problems in your notes, homework, quizzes, and take-homes. You may also want to try:

8.2 – 41; 8.4 – 5, 7; pg 618 - 5, 23, 31, 35, 41, 50, 51, 52, 54, 56

New Material:

8.7 – Setting up and evaluating double integrals

8.8 – Applications of the double integral: volume, average value, average profit

9.1 – Verifying solutions of differential equations; Setting up differential equations, three types of proportionality

9.2 – Separation of variables; finding general and particular solutions of differential equations

9.3 – Applications of differential equations

You can find good sample problems in your notes, homework, quizzes, and take-homes. You may also want to try:

8.7 – 1, 5, 13, 19

8.8 – 11, 13, 17, 21

9.1 – 1, 3, 13, 19, 21

9.2 – 1, 7, 17, 29

9.3 – 1, 2, 9