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MATH440 - Stochastic Processes

Course Details

Course Code: MATH440 Course ID: 4560 Credit Hours: 3 Level: Undergraduate

The goal of this course is to teach students statistical and stochastic concepts, methods and models through examples, help students relate stochastic models to real life problems, and also encourage students to develop critical thinking skills that will allow them to realize greater success as mathematics major. (Prerequisite: MATH335 AND MATH410 AND MATH431)


Course Schedule

Registration Dates Course Dates Session Weeks
05/21/21 - 10/29/21 11/01/21 - 12/26/21 Fall 2021 Session I 8 Week session
07/27/21 - 12/31/21 01/03/22 - 02/27/22 Winter 2022 Session B 8 Week session
10/26/21 - 04/01/22 04/04/22 - 05/29/22 Spring 2022 Session B 8 Week session

Current Syllabi

After completing the course, the student should be able to accomplish these Course Learning Objectives (CO):
CO 1. Use Basic Probability Concepts in modeling of Stochastic Processes.
CO 2. Use Stochastic Processes to model real world activities.
CO 3. Apply the Exponential Distribution and Poisson Process to Stochastic Models.
CO 4. Apply Discrete-Time Markov Chains to real world situations.
CO 5. Apply Continuous-Time Markov Chains to real world situations.
CO 6. Use Stochastic Processes to construct Birth and Death Processes Models.
CO 7. Model Queuing Systems using Stochastic Processes.

Course grading will be based on Forums participation (includes discussion questions, weekly summaries, and other data analysis activities), five graded data projects, and a final examination.


Discussion Forum Questions: There will be discussion questions established for Weeks 1, 3, 5, and 7. Students responses are due 11:59 pm, Wednesdays of Weeks 2, 4, 6, and 8. Responses to a minimum of two classmates postings are due 11:59 pm, Sundays of Weeks 2, 4, 6, and 8. Maximum assessment for each week is 50 points of the 1000 points for the course (40 points for response and 10 points for comments to classmates). Each student is required to participate in the discussion question forum; initial responses will not be accepted or be given credit after the due date. Participation (submission of response) outside of any particular week will not be given credit. There are no exceptions to this policy. Additionally, students will not be able to pre-post forum discussion questions.

Interim Summary Reports: The interim summary reports are the second component of class participation. This report must be completed by the end of Weeks 3, 5, and 7 of the course (Sunday, 11:59 PM Eastern Time or 2350 hours). Late assignments will not be accepted. There are no exceptions to this policy. Maximum assessment for each weekly summary report is 30 points of the 1000 points available in the course. A minimum of 250 words are required for the report. For the interim summary report, each student is required to complete a minimum of 150 word summary report to include the following as a minimum: What was learned over the previous weeks since last interim summary; identification and presentation of a practical research application (not a problem) from the course materials covered during the period; and a summary of the student’s thoughts on the material covered during the period.

In addition, student should share links to any web sites used to help support learning and understanding of the materials for that week (outside of the tutorials). Student’s interim reports will be evaluated for clarity, quality, content, and proper use of terms, spelling, and grammar. Students will post their summaries in the forum for Interim Summary Reports for weeks 3, 5, and 7. Interim Summary Reports posted in forums other than the Interim Summary Reports Forum will not be accepted or graded; there are no exceptions to this policy. Summaries must be posted as a separate thread. If not posted as a separate thread, it will not be accepted or graded. Each student is encouraged to comment on other students summaries. Additionally, students are not to use the summary to ask questions; questions should be posted in the “Q &A” Forum.

Other instructor directed activities: If required, the instructor will post additional activities and they will be noted in the Weekly Announcement. The weekly discussion forum is a tool for the students to use to communicate their questions and comments. Please make full use of the discussion forum by asking questions or making comments on the materials covered during any particular week. Do not ask for assistance on particular quiz or exam questions unless it is for clarification.

Quizzes: The four graded Quizzes are dispersed throughout the course (see course schedule). They are worth 125 points each. These quizzes are posted under Tests and Quizzes in the Sakai Classroom. Student must submit their completed Quiz by the established due date.

Final Exam: The Final Exam will be taken during the last week of the semester. The Final Exam will be worth 200 points toward student’s final course grade. The final exam will cover all materials in the course. Students will have 3 hours to complete the 20 question exam. (Students should make sure that adequate time is allocated to take the exam). The final exam will not be a proctored exam. Students may use the textbook and notes in completing the final exam, but no help from anyone. The Final Exam is posted under Tests and Quizzes in the Sakai Classroom.

Students’ final grades will be posted as soon as the instructor receives and evaluates the Final Exam. Official grades will continue to be issued by the University on the grade report form. Professors have 7 days from the end of the semester to submit their grades to the University.

The points earned on the graded course assignments will determine the course grade. The final grade in the course will be based on total points. Grades will be assigned based on the following composite scores:

NameGrade %
APUS Honor Code and Pledge APUS Honor Code and Pledge
Introduction Forum Introduction Forum
Weekly Forums Discussion Question 01
Discussion Question 02 Discussion Question 03
Discussion Question 04 Interim Summary Reports
Week 3 Interim Summary Week 5 Interim Summary
Week 7 Interim Summary Quizzes
Quiz 01 Quiz 02
Quiz 03 Quiz 04
Unassigned Quiz 1

Resource Identification: Please visit http://apu and search by the course number MATH440 to access your required resources.

Additional Resources: Students will be provided access to additional resources in the Sakai classroom.

Tutorials: Additional online help involving mathematical concepts associated with topics in lower level Mathematics courses is available through the University. Please go to the web page at to view the mathematics tutorials. These tutorials include 4-6 minute vignettes. Students may access these videos from the links in the Course Outline above by clicking on Ctrl+Click on the link.

Book Title:To find the library e-book(s) req'd for your course, please visit to locate the eReserve by course #.
Author: No Author Specified
Book Title:Probability,Statistics, and Stochastic Processes, 2nd Ed - e-book available in the APUS Online Library
Publication Info:Wiley Lib
Author:Peter Olofsson, Mikael Andersson
Unit Cost:$95.52

Previous Syllabi

Not current for future courses.