Exam 2 Topics

Mathematics 105Q

Spring 2006

These text sections will be covered on the exam: 2.6, 2.7, 3.1, 3.2, 3.3, 4.1, and 5.1. You will need to know the formulas for simple interest, compound interest, and effective interest rate.

· Translate a word problem into a system of linear inequalities. Find the corner points (using algebra - you may use your graphing calculator to check your results, but only the algebra you do will count). And draw a sketch of the feasible set. Sample problem: p. 213/14.

· Input-output analysis: Find the production matrix, given the external demands. Sample problems: p. 158/5, 11a.

· Given inequalities describing a set of points in a Cartesian coordinate plane, find the extreme values of a certain linear function on the set. Sample problem: p. 213/6.

· Find an inverse matrix. Sample problem: p.146/9.

· Apply the Simplex Method, showing how the pivot entry was chosen and carrying out the pivoting process (row operations). Interpret the final tableau. Sample problem: p. 233/6.

· Calculations: a future value at simple interest credited yearly, finding the annual rate when the other quantities are given, a future value at compound interest (more than one interest period per year), and an effective annual rate (expressed as a per cent).
Sample problems: p. 289/2, 9; p. 332/1, 3.