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ESI 4567C: Matrix and Numerical Methods in Systems Engineering ...

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<strong>ESI</strong> <strong>4567C</strong>: <strong>Matrix</strong> <strong>and</strong> <strong>Numerical</strong> <strong>Methods</strong> <strong>in</strong> <strong>Systems</strong> Eng<strong>in</strong>eer<strong>in</strong>g – Fall 20111. Catalog Description: Credits: 4. Theory <strong>and</strong> application of vector, matrix <strong>and</strong> other numericalmethods to systems problems. Simultaneous l<strong>in</strong>ear equations, characteristic values, quadratic forms,error analysis, use of series, curve fitt<strong>in</strong>g, nonl<strong>in</strong>ear equations, discrete methods. The laboratorysessions will emphasize numerical solutions us<strong>in</strong>g MATLAB.2. Pre-requisites: MAC 2313, MAP 23023. Course Objectives:• Underst<strong>and</strong><strong>in</strong>g the concepts beh<strong>in</strong>d the techniques presented <strong>in</strong> the course• Develop<strong>in</strong>g facility with the techniques themselves, <strong>and</strong> be<strong>in</strong>g able to solve small size problemsanalytically• Learn<strong>in</strong>g how to implement the methods <strong>in</strong> the MATLAB programm<strong>in</strong>g environment (abilityto program <strong>in</strong> at least one high level language such as C, C++, FORTRAN, Pascal, etc. willbe useful, but is not a requirement4. Contribution of course to meet<strong>in</strong>g the professional component: This course teaches the basic concepts<strong>in</strong> the theory <strong>and</strong> applications of vector, matrix <strong>and</strong> other numerical methods to systems problems.Students will develop <strong>and</strong> enhance their ability to address various problems apply<strong>in</strong>g numericalmethods <strong>and</strong> modern software (MATLAB).5. Relationship of course to program outcomes: This course meets ABET requirements <strong>in</strong> the follow<strong>in</strong>gABET criteria: apply knowledge of mathematics, science <strong>and</strong> eng<strong>in</strong>eer<strong>in</strong>g; design <strong>and</strong> conductexperiments, as well as to analyze <strong>and</strong> <strong>in</strong>terpret data; identify, formulate <strong>and</strong> solve eng<strong>in</strong>eer<strong>in</strong>g problems;underst<strong>and</strong> the impact of eng<strong>in</strong>eer<strong>in</strong>g solutions <strong>in</strong> a global <strong>and</strong> societal context; recognize theneed for, <strong>and</strong> engage <strong>in</strong> life-long learn<strong>in</strong>g; underst<strong>and</strong> contemporary eng<strong>in</strong>eer<strong>in</strong>g issues; use the techniques,skills, <strong>and</strong> modern eng<strong>in</strong>eer<strong>in</strong>g tools necessary for eng<strong>in</strong>eer<strong>in</strong>g practice; <strong>in</strong>tegrate systemsus<strong>in</strong>g appropriate analytical, computational <strong>and</strong> experimental practices.6. Instructor: Petar Momčilovića. Office location: 479 Weilb. Telephone: (352) 392-1464 x2053c. E-mail address: petar@ise.ufl.edud. Web site: www.ise.ufl.edu/momcilovic/e. Office hours: TBA7. Teach<strong>in</strong>g Assistant: TBAa. Office location:b. Telephone:c. E-mail address:d. Office hours:8. Meet<strong>in</strong>g Times: MWF 7, T 10-119. Schedule: Lectures – MWF 7; Lab sessions – T 10-111


10. Meet<strong>in</strong>g Location: FLG 024511. Material <strong>and</strong> Supply Fees: none12. Textbooka. Title: Introduction to <strong>Numerical</strong> Analysis Us<strong>in</strong>g MATLABb. Author: Rizwan Buttc. Inf<strong>in</strong>ity Science Press, 1st editiond. ISBN: 1934015237.13. Recommended Read<strong>in</strong>g: none14. Course Outl<strong>in</strong>e:• Numbers <strong>and</strong> errors• Logic: Use of logical operators• Proof by <strong>in</strong>duction• Algorithms: Basic concepts• Solution of l<strong>in</strong>ear systems• Solution of nonl<strong>in</strong>ear equations• Polynomial <strong>in</strong>terpolation• <strong>Numerical</strong> <strong>in</strong>tegration• <strong>Numerical</strong> solution of ord<strong>in</strong>ary differential equations• Eigenvalues <strong>and</strong> eigenvectors• Introduction to optimization• Introduction to graph theory• Other topics – time permitt<strong>in</strong>g15. Attendance <strong>and</strong> Expectations: No attendance will be taken, but you are responsible for the announcementsmade <strong>in</strong> class. Students are expected to know the material covered <strong>in</strong> the prerequisitecourses. When necessary, they are expected to relearn material from these courses on their own.Homework is important, <strong>and</strong> will be counted enough towards the course grade that you take itseriously, but not so much that you cannot afford to make mistakes. Late homework will not beaccepted, except <strong>in</strong> extenuat<strong>in</strong>g circumstances such as serious illness.This is not a course where you can do well on exams solely by bl<strong>in</strong>dly apply<strong>in</strong>g formulas.In order to get the most out of the course, try to stay ahead. By the weekend, make sure you have atthe least reviewed the material covered <strong>in</strong> the lectures <strong>and</strong> read<strong>in</strong>gs of the preced<strong>in</strong>g week. In additionto read<strong>in</strong>g, work<strong>in</strong>g out extra exercises on your own will help <strong>in</strong> improv<strong>in</strong>g your underst<strong>and</strong><strong>in</strong>g ofthe material. With diligent practice, you can prepare yourself to the po<strong>in</strong>t where, on exams, <strong>in</strong>st<strong>in</strong>cttakes over <strong>and</strong> the problems seem straightforward.16. Grad<strong>in</strong>g: 10% homework, 30% midterm 1, 30% midterm 2, 30% f<strong>in</strong>al.Exams: 2 midterms on October 5 <strong>and</strong> November 9 (Wednesdays, even<strong>in</strong>g exams), <strong>and</strong> a f<strong>in</strong>al onDecember 15, 2011 (Thursday) at 5:30 PM.2


If you disagree with any grade you received for an assignment, please talk to the TA who gradedthis problem/assignment. If you still disagree with your grade after talk<strong>in</strong>g to this person, you maycontact the <strong>in</strong>structor. Before contact<strong>in</strong>g the TA or the <strong>in</strong>structor, please make sure that there aresufficient grounds for appeal<strong>in</strong>g the grade <strong>and</strong> present a clear explanation <strong>and</strong> specific reasons whyyou believe your grade should be changed.17. Grad<strong>in</strong>g Scale: The f<strong>in</strong>al letter grade will be determ<strong>in</strong>ed primarily by the curve. The break between“B” <strong>and</strong> “B-” will be approximately set at the average. Letter grades will be monotonic <strong>in</strong> totalcourse scores. Your grade will be solely based on your performance <strong>in</strong> this course <strong>and</strong> noton outside factors like your wish to graduate this semester.A C- will not be a qualify<strong>in</strong>g grade for critical track<strong>in</strong>g courses. In order to graduate, students musthave an overall GPA <strong>and</strong> an upper-division GPA of 2.0 or better (C or better). Note: a C- averageis equivalent to a GPA of 1.67, <strong>and</strong> therefore, it does not satisfy this graduation requirement. Formore <strong>in</strong>formation on grades <strong>and</strong> grad<strong>in</strong>g policies, please visit:http://www.registrar.ufl.edu/catalog/policies/regulationgrades.html18. Make-up Exam Policy: You are expected to be present without exception <strong>and</strong> to plan any travelaround these dates accord<strong>in</strong>gly. Medical emergencies are of course excluded if accompanied by adoctor’s note.19. Honesty Policy: All students admitted to the University of Florida have signed a statement ofacademic honesty committ<strong>in</strong>g themselves to be honest <strong>in</strong> all academic work <strong>and</strong> underst<strong>and</strong><strong>in</strong>g thatfailure to comply with this commitment will result <strong>in</strong> discipl<strong>in</strong>ary action. This statement is a rem<strong>in</strong>derto uphold your obligation as a UF student <strong>and</strong> to be honest <strong>in</strong> all work submitted <strong>and</strong> exams taken<strong>in</strong> this course <strong>and</strong> all others.All homework assignments are to be completed on your own. You are allowed to consult with otherstudents dur<strong>in</strong>g the conceptualization of a solution, but all written work, whether <strong>in</strong> scrap or f<strong>in</strong>alform, is to be generated by you work<strong>in</strong>g alone. You are also not allowed to use, or <strong>in</strong> anyway deriveadvantage from, the existence of solutions prepared <strong>in</strong> prior years.Any form of cheat<strong>in</strong>g will be penalized.20. Accommodation for Students with Disabilities: Students Request<strong>in</strong>g classroom accommodation mustfirst register with the Dean of Students Office. That office will provide the student with documentationthat he/she must provide to the course <strong>in</strong>structor when request<strong>in</strong>g accommodation.UF Counsel<strong>in</strong>g Services: Resources are available on-campus for students hav<strong>in</strong>g personal problemsor lack<strong>in</strong>g clear career <strong>and</strong> academic goals. The resources <strong>in</strong>clude:• UF Counsel<strong>in</strong>g & Wellness Center, 3190 Radio Rd, 392-1575, psychological <strong>and</strong> psychiatricservices.• Career Resource Center, Reitz Union, 392-1601, career <strong>and</strong> job search services.21. Software Use: All faculty, staff <strong>and</strong> student of the University are required <strong>and</strong> expected to obey thelaws <strong>and</strong> legal agreements govern<strong>in</strong>g software use. Failure to do so can lead to monetary damages<strong>and</strong>/or crim<strong>in</strong>al penalties for the <strong>in</strong>dividual violator. Because such violations are also aga<strong>in</strong>st Universitypolicies <strong>and</strong> rules, discipl<strong>in</strong>ary action will be taken as appropriate. We, the members of theUniversity of Florida community, pledge to uphold ourselves <strong>and</strong> our peers to the highest st<strong>and</strong>ardsof honesty <strong>and</strong> <strong>in</strong>tegrity.3

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