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MATH415 - Operational Simulation

Course Details

Course Code: MATH415 Course ID: 4555 Credit Hours: 3 Level: Undergraduate

This course examines various mathematical concepts and problem solving techniques and introduces discrete system simulation, Monte Carlo methods, discrete event modeling techniques, programming considerations, statistical definitions and concepts, random number generation, and output analysis. This will be a problem-solving course which will emphasize tools that can be used during the analysis phase of real world problems. (Prerequisites: MATH330 and MATH375)


Course Schedule

Registration Dates Course Dates Session Weeks
06/28/21 - 12/03/21 12/06/21 - 01/30/22 Fall 2021 Session D 8 Week session
09/28/21 - 03/04/22 03/07/22 - 05/01/22 Winter 2022 Session D 8 Week session

Current Syllabi

After successfully completing this course, you will be able to:

CO-1 Perform basic statistical analysis and calculations.
CO-2. Apply statistical concepts to system simulations.
CO-3. Solve Monte Carlo simulations and apply to real life applications
CO-4. Solve discrete event models and discuss applications to working models.
CO-5. Investigate programming considerations for various model simulations.
CO-6. Use random number generators to model working life scenarios.
CO-7. Compare output analysis from various models.

Staying on task and adhering to the published schedule are typically among the most challenging aspects of completing an academic course successfully. This is especially true for online and part-time non-resident programs. To avoid the pitfall of falling behind, students in this course should complete the assigned reading and review the PowerPoint presentations posted in the Lessons section of the classroom in a timely manner. Students should also complete the Suggested Practice Problems as set forth in the schedule provided in the Course Outline of this syllabus. Suggested Practice Problem sets will not be graded, but their solutions will be posted in the Suggested Problem Solutions folder in the Resources section of the classroom. Students should refer to these solutions as a means to confirm their understanding of the topics covered throughout the course.

Student grades for the course will be based on class discussion/forums, a project, a midterm exam, and a final exam.

Class Participation in Forums: I urge you to utilize the Question and Answer Forum as a means to interact with your classmates. If while working through examples or problems from our textbook you have a question or a comment, please post the question or comment in the Question and Answer Forum. Naturally, I hope that question and answers posted in the Question and Answer Forum will facilitate interactions among the members of our class.

A total of 10% of the final grade will be based on participation in the Forums.

The Week 1 Introduction For um: During the first week of class each student must make a post to the Week 1 Introduction Forum. You are to use this Forum to introduce yourself and state your goals and objectives as they relate to our course. You are required to make a post to the Week 1 Introduction Forum in order to complete your enrollment in the course. Your post must be at least 250 words, and you must complete it by the end of the first week. This is a university requirement. To make a post to the Week 1 Introduction Forum, click on the Forum topic link, then click Post New Thread. In the title block of the dialog box that appears kindly insert your first and last name; compose your post in the message box; and then click Post Message.

Besides completing your enrollment in the course, the Week 1 Introduction Forum is designed to 1) build peer-to-peer relationships by introducing oneself and one’s background to the class; 2) to articulate individual student learning goals and/or expectations for the class. Therefore, in your introduction you may wish to touch upon the following:

  1. Who you are and how you would like to be addressed.
  2. Your academic major or program of study.
  3. Your current status in your program of study.
  4. Your academic goals including why you are taking this course and what you hope to achieve by completing it.
  5. Other information about yourself that you would like to share and might help others know you better.

Project: The project will count as 40% of the final grade. It will be based on course work and topics presented. The project will consist of a simulation using Microsoft Excel and a paper. Both are due on the last day of the course.

Exams: There will be a midterm examination, worth 25% of your final grade during Week 4 and a final examination worth 25% of your final grade in the last week of the class. Each exam will be an online, open-book, open-note exam. You may not consult with any other person while taking the exam. This examination will be based on all material covered during the course of the semester. Please coordinate with the professor for any special arrangements. Unless the professor approves alternate arrangements, students should plan to take the final examination during the last week of the course. You will not need a proctor to take this exam.

Specific instructions will be provided for the midterm and the final in the Announcements section of our classroom at the outset of the week.. Clearly, student-teacher relationships are built on trust. This is especially true in the case of an online course. For example, students must trust that teachers have made appropriate decisions about the structure and content of the courses they teach, and teachers must trust that students complete assignments as directed. Acts that violate this trust undermine the educational process and compromise the integrity. Don’t cheat. Don’t compromise your integrity. To do so invalidates the very purpose which likely motivated you to undertake this course—to learn, to become a better decision maker, to broaden your perspective, and to increase your skill set.

At the beginning of the week in which they are due, exams will be posted in the Tests & Quizzes section of our classroom. When you are prepared to take an assessment go to the Tests & Quizzes section of our classroom and click on the assessment. It is important for you to understand that you will be able to submit your answers to an assessment only once. Your answers must be submitted by the 11:55PM Eastern time deadline, as indicated in the syllabus. I will not accept late submissions. So, please don’t wait until the last minute to submit your answers to a quiz or exam. As soon as you submit your answers your assessment will be graded, and your score will be recorded in the Gradebook. Twenty-four hours after the deadline and once everyone has submitted their answers, you can access the feedback by clicking on the assessment in the Tests & Quizzes section of our classroom. Naturally, if you answer any of the questions on an assessment incorrectly I urge you to review the feedback and reconcile any errors you may have made on a quiz or exam.

The Final Examination will be count as 25% of the final grade. It will be a three hour, online, open-book, open-note exam. The final exam will cover all of the material presented during our course. You will be able to access the Final Exam only once. So, be sure to set aside a dedicated three hour period in which to complete it. You may not consult with any other person while taking the exam.
The notations used in statistical work aren't found in many word processing programs, making it difficult to produce many of the symbols used in our course. You may wish to use the Symbol font in Microsoft Word and the Insert/Object/Microsoft Equation feature in Word when preparing documents related to our course. Insert/Symbol is also sometimes useful. Of course, you will also want to familiarize yourself with the Insert/Edit Equation feature contained in the Rich Text Editor that is available in the Forums section of our classroom. Additionally, since many of the computations and analyses required in our course can be easily carried out using Microsoft Excel, you may wish to familiarize yourself with the process whereby Excel outputs can be copied and pasted into a Word or pdf file.

Assignment Deadlines: Students must plan and manage competing demands and priorities on their time and are expected to submit classroom assignments on time. Assignment due dates and times are explained in the Lessons. All assignments must be submitted by the last day of class unless you have an approved course extension.

Instructors will submit student course grades to the University within seven days after the end of the semester. Official grades will continue to be issued by the University on the grade report form.

Please see the Student Handbook to reference the University’s grading scale.

Grades for the course will be based on the following.

NameGrade %
APUS Honor Pledge 1.00 %
APUS Honor Code and Pledge 1.00 %
Forums 10.00 %
Introductory Forum 2.00 %
Forum - Week 2 1.00 %
Forum - Week 3 1.00 %
Forum - Week 4 1.00 %
Forum - Week 5 1.00 %
Forum - Week 6 1.00 %
Forum - Week 7 1.00 %
Forum - Week 8 2.00 %
Midterm Exam 25.00 %
Midterm Exam 1 25.00 %
Final Exam 25.00 %
Final Exam 1 25.00 %
Project 40.00 %
Project Proposal 4.00 %
Project Paper 16.00 %
Project Simulation 20.00 %

Web Sites –

In order to use the video presentations, each student’s computer should have a color monitor with 16 bit color or greater video card; 800x600 pixels or greater monitor resolution; soundcard; speakers or headphones. PCs should be Pentium 200 MHz or faster with Windows 96, 98, 2000, NT 4.0, XP or later; 128 MB RAM. MAC should have Power PC 120 MHz or faster with Mac OS 8.1 or later and 128 MB RAM.

Students will need a scientific calculator which includes the trig functions to successfully complete this course. The calculator should include a memory and square root function. Students are required to have access to Microsoft Excel. It will be used extensively for simulations and is needed for course project.

Book Title:Discrete-Event System Simulation, 5th ed. - the VitalSource e-book is provided inside the classroom
Publication Info:VS-Pearson
Author:Banks, et. al.
Unit Cost:$136.48
Electronic ISBN:9781269569071
Electronic Unit Cost:$35.00

Previous Syllabi

Not current for future courses.