Course Code: MATH330 Course ID: 4550 Credit Hours: 3 Level: Undergraduate
This course examines various linear optimization concepts and problem solving techniques commonly found in manufacturing, transportation, and military operations. The goal of optimization is to find the best possible solution to a problem given a number of constraints. The emphasis of this course is problem solving. This course includes the construction and analysis of real world problems and the application of various linear optimization techniques to find an optimal solution. An optimization software package will also be presented and used to solve problems. This course covers a wide range of linear optimization techniques. Topics include linear programming; the simplex algorithm and goal programming; sensitivity analysis and duality; problems in transportation and transshipment; network models; and integer programming. (Prerequisite: MATH220)
|Registration Dates||Course Dates||Session||Weeks|
|10/26/20 - 04/02/21||04/05/21 - 05/30/21||Spring 2021 Session B||8 Week session|
After completing the course, the student should be able to accomplish the following Course Objectives (CO):
CO-1: Model problems using basic linear programming methods.
CO-2: Apply the simplex algorithm and goal programming to real world problems.
CO-3: Explain how the sensitivity analysis relates to the problem and solution.
CO-4: Demonstrate the purpose of duality and how it relates to the problem and solution.
CO-5: Model problems involving transportation and transshipment.
CO-6: Apply techniques used in project management by solving network model problems.
CO-7: Model integer programming problems used in real world applications.
Forum Assignments: The University requires weekly contact from each student. This requirement can be met by taking the Unit Tests and by participating in the Forums. A total of 16% of the final grade will be based on participation in the Forums. Forum postings are expected to be written in complete sentences using correct grammar and spelling. Any posting which requires research must be accompanied by a citation of the references used.
Project: The project will count as 24% of the final grade. It will be assigned during week 1 and will be due at the end of week 7. You are permitted to consult with others to complete your project, but the work you submit must be your own.
Midterm Exam: The midterm exam will count as 30% of the final grade. It will be a three hour, online, open-book, open-note exam. You may not consult with any other person while taking the exam. It will be given during week 4 and will cover all of the material covered in the first three weeks of the course. You will not need a proctor to take this exam.
Final Exam: The final exam will count as 30% of the final grade. It will be a three-hour, 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 semester. The questions will require computations and application of the material covered during 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.
|Academic Integrity||1.00 %|
|Academic Integrity - Honor Pledge||1.00 %|
|Unit 1 Forum: Introductions||2.00 %|
|Unit 2 Forum: Sensitivity Analysis||2.00 %|
|Unit 3 Forum: Duality||2.00 %|
|Unit 4 Forum: Tools Used In Linear Optimization||2.00 %|
|Unit 5 Forum: Online Operations Research Resources||2.00 %|
|Unit 6 Forum: Careers on Operations Research||2.00 %|
|Unit 7 Forum: Readings in Linear Optimization||2.00 %|
|Unit 8 Forum: Course Reflections||2.00 %|
|Project Plan & Paper||24.00 %|
|Mid Term Exam||30.00 %|
|Final Exam||30.00 %|
|Homework - Extra Credit||5.00 %|
|Homework Extra Credit||5.00 %|
You must validate your cart to get access to your VitalSource e-book(s). If needed, instructions are available at http://apus.libguides.com/bookstore/undergraduate.
Homework problems are not a part your final grade but they are an important factor in your success at mastering the subject. Math is not a spectator sport - one learns math by putting the pencil to the paper!
Students will need a scientific calculator – at a minimum – to successfully complete this course. At the student’s discretion, a scientific calculator or a computer spreadsheet program like Microsoft Excel may be used. Students may make use of the above for all graded assignments during the course.
|Book Title:||Linear Programming: Foundations and Extensions, 5th ed. - e-book available in the APUS Online Library|
Not current for future courses.