###
MA 114-001

Introduction to Finite Mathematics with Applications

Mathematics

### Material on the Final Exam

MA 114-001 Home | Schedule | WebAssign | Other Homework | Hints and Answers | WebCT | Test study guides

Matrix Algebra Tool | Row Op Tool | MA 114 Online Home Page

The final exam is Thursday, December 10, 8:00 - 11:00 a.m., in the usual room.

Calculators may be used for arithmetic only.

The exam will cover Chapters 1, 4, 5 and 6 only.

For Chapters 1, 4 and 5, you can use the review sheets for Tests 1, 3 and 4. On the Test 1 review sheet, omit the Chapter 2 material.

Things you should be able to do from Chapter 6:

6.1. Tell whether a matrix is a transition matrix; write the transition matrix T from a verbal description of the situation; calculate T^2 and T^3; interpret the entries of T^k as transition probabilities after k repetitions of the process.

6.2. Write the initial probability distribution vector p_0 from a verbal description of the situation; calculate p_1, p_2 and p_3, and interpret the entries as probabilities.

6.3. Tell whether a transition matrix is regular; for a regular transition matrix, calculate the steady state vector s, and interpret the entries as long-run probabilities.

6.4. Tell whether a transition matrix is absorbing; write the transition matrix for an absorbing Markov process in canonical form (absorbing states first); for an absorbing transition matrix in canonical form, identify R and Q, calculate N and NR, interpret the entries of N and NR.

I suggest reviewing Tests 1, 3 and 4. On Test 1, omit questions 4, 5 and 6.

**You may bring to the test one sheet of paper with whatever you find useful written on it.** (You may use both sides of the paper if you want.)

Instructor's home page
NC State home page

Last modified Mon Nov 23 2009

Send questions or comments to schecter@math.ncsu.edu