SYSEN 510: Engineering Systems Analysis

Transcription

1 SYSEN 510: Engineering Systems Analysis Course Description This 3-credit course provides students with the mathematical foundation for the System Engineering Program. It will address the fundamentals of mathematical tools that are part of the System Engineering Program. The topics covered are both linear and nonlinear differential equations as well as vector and matrix algebra. Students will learn to recognize the types of differential equations and the proper method to use and to solve them. Vector algebra deals with the basics of vector spaces and matrix algebra will cover matrix manipulations. Specific coverage will include: First order linear and nonlinear differential equations Second and higher order linear differential equations Use of Laplace transforms to solve differential equations Linear algebraic equations and their solution Fundamentals of linear vector spaces Fundamentals of matrix algebra Eigenvalue and Eigenvector problems Students entering this class are assumed to have had undergraduate calculus (at least 3 classes) and differential equations. Some students may have been out of school for a number of years, and the course is geared to help those individuals reacquire their math skills and to acquire new skills. Expected Learning Outcomes Learners who successfully complete this course will be able to: Describe, using real-world examples, the role of differential equations in engineering Recognize the various types of differential equations, and execute the appropriate method to arrive at a solution for each type Determine the analytical solution for each class of differential equations Describe, using real-world examples, the role of linear algebra in engineering Carry through the process of using of linear algebra to perform matrix manipulation

2 Required Text(s) and Materials Michael D. Greenberg, Applied Engineering Analysis 2nd Edition, Prentice Hall ISBN: Approx $160 The textbook may be purchased through the Washburn University Bookstore, or at any bookstore such as Barnes & Noble or Amazon. This course is intended to teach students specific forms of mathematics. For this reason, students are not to use software to solve homework or examination problems. You are to show all work. Answers without showing work will not be given any credit. Location of Course Content All instructional materials and submission areas can be found in ANGEL. In the Lessons tab of this course, there will be a Start Here folder with several important general course documents (including this syllabus). For the subsequent weeks, there will be a weekly folder that will contain all the materials and submission areas your will need for that week. Instructor & Contact Information Dr. Maurice J. Smith, Professor of Electrical Engineering Prior to joining Washburn, Dr. Smith served as a Senior Research Associate with the Big & Bigger Co., Inc. Experimental Station in Anchorage, Alaska. Over a career of 32 years, Dr. Smith was responsible for the development of novel instruments, inspection system, adaptive controllers, and application of expert systems. He holds 5 patents for work in these areas. Most recently, Dr. Smith s work involved the application of advanced control concepts to chemical problems. He led the New Technology Team to screen and apply new control technology to Big & Bigger s manufacturing problems. Dr. Smith is recognized for his work in the application of multivariate statistical methods to the problems of monitoring complex systems. Besides his activities with Big & Bigger, Dr. Smith has been an Adjunct Professor of Electrical Engineering at the University of Anchorage for more than 35 years. He was also an Adjunct with Washburn for nearly 20 years prior to joining the faculty full-time. Dr. Smith received his Bachelor of Electrical Engineering degree from the University of Fairbanks in He received his MS Electrical Engineering from the University of Arizona in 1965 and his PhD from the University of Virginia in He is a Registered Professional Engineer in the State of Alaska. Dr. Smith has been very active in the affairs of the Institute of Electrical and Electronic Engineers for over 30 years. He has served on numerous boards and committees. He has organized and chaired a number of sessions of national meetings. Dr. Smith won the IEEE Control System Society Technology Award for his work on multivariate statistics. Dr. Smith serves as an Associate Technical Editor of the IEEE Control Systems Magazine. He has served as an Associate Technical Editor of the IEEE Transactions on Automatic Control. He is a member of the IEEE Control System Society subcommittee on Process Control. Dr. Smith serves as an Electrical Engineering Program Evaluator for the Accreditation Board for Engineering and Technology (ABET) for approximately, and he has published approximately 50 peerreviewed articles, and parts of 5 books.

3 All course-related should go through ANGEL s course mail function. Using ANGEL to contact me (your instructor) ensures that I will read you message and respond to you in a timely manner. Contact through should be limited to extreme circumstances. If you must use external to contact me, messages may be sent to XXX@washburn.edu. Please indicate in the subject line that this is a course related question. Under normal circumstances, I will respond to ANGEL-based course mail or within 24 hours, Monday-Friday. If I am unable to do so for some reason, I will notify the entire class. Also, if for some reason, you do not receive a response from me within 24 hours, please try again. Telephone & Fax I would prefer to handle any course-related question via ANGEL's mail messaging system. If we cannot resolve an issue, you or I may request that we have a phone conversation. Please arrange for a time convenient for both of us through ANGEL mail message. If it is necessary to contact me using the telephone, my office number is (785) XXX-XXXX, and my fax number is (785) XXX -XXXX. Technical support Online Education Support, (785) XXX-XXXX- Available by phone on weekdays from 8:00 a.m. until 5:00 or by at online-ed-support@washburn.edu In-person office hours I am available for in-person visits on an appointment-only basis. Please contact me to set up an appointment. Virtual office hours If necessary, I will establish a synchronous online meeting with individuals, small groups, or the entire class. Given that scheduling synchronous online meetings requires a great deal of effort given the locations and time zones of the students involved, we will use this method only when necessary. Course Policies All course material is available to you on ANGEL. I will be posting to the course bulletin board information to remind you what is available and what you should be working on. Material is provided on a lesson-by-lesson basis, and is presented to you as Web pages, Microsoft Word documents (.doc), or Portable Document Format (PDF). Material that you submit for course will be placed in the appropriate drop box on ANGEL, and should be submitted as PDF files (In certain cases I will tell you whether a Microsoft Word document is an appropriate submission format). Work may be handwritten as long as it is legible, scanned to a PDF file, and uploaded to a dropbox. I will not have the ability to read any other file formats, and I appreciate your cooperation with these details of the course.

4 Class Participation There will be discussion boards for students to discuss among themselves different aspects of the course, and I will participate in the discussions when it is appropriate. I encourage people to work together on homework assignments. Use the discussion board to post your questions and to read the responses from your classmates. Exams are on an individual basis. Any questions on exams should be directed to me. I will add information to the exams if there many students are experiencing particular problems. Policy on late/missing assignments It is important that students maintain the proper pace in this course. For that reason, homework and other assignments are expected to be submitted on time. Homework will be accepted up to one week late with a 50% penalty. Work submitted after one week will not be accepted. Exception may be made for extraordinary circumstances, but these are on an individual basis and must be approved by me in advance of the due date for the homework. Examples of circumstances include illness and family emergencies. Specifications for writing and submitting assignments Assignments are accepted in their assigned ANGEL drop-box without penalty if they are received by 5 PM on the due date. No assignments are accepted after 5 PM on its stated due date. No assignments are accepted after 5 PM of the final day of the course. Netiquette: Internet Etiquette Guidelines I'm sure that the students in our class will have a range of skill and ability levels related to online learning and Internet usage. Without belaboring the concept of "Netiquette", or etiquette for using the Internet as it pertains to our online learning environment, let me just offer a few basic reminders: It is generally bad form to type your messages IN ALL CAPITAL LETTERS. In addition to proper capitalization (first words of sentences, proper nouns, names, etc.), a majority of online students have reported that complete sentences and punctuation make online text communication easier to read. It is much better to not post inflammatory or accusational remarks than it is to "get it off of your chest". Profanity and personal attacks will have no part of this course. If you discover such remarks, please notify me immediately, and I will personally address the source of those remarks. Examination policy There will be two take-home exams. You are free to spend as much time as you wish on completing the exams and to use any material other than software to solve the problems. Examinations are to be taken without collaboration of other students or other individuals. You will have at least two weeks to complete the exams, and each exam is due at 5 PM on the date specified. Your examination responses must be submitted in the specified file format, either PDF or DOC format, and must be placed in the appropriate drop box on ANGEL. Again, students are free write their responses by hand and then scan

5 their papers into a PDF file. Late exams will not be accepted unless there are mitigating circumstances and I have given permission prior to the due date of the exam. When the exam is first made accessible, there will be problems on material that has already been covered and on material that has not yet been covered. I do this so that students can get a head start on the exam. All material on the exam will be covered in time for the students to complete the exam on-time. The last exam will be due on the last official scheduled day of class at 5pm. Assessment / Grading Homework assignments will be given weekly. Due dates will be specified in the course calendar, but are typically due one week later. Homework will constitute 20% of your final grade. Doing the homework promptly and carefully is necessary for learning the material. A reasonable amount of collaboration with fellow students is allowed and encouraged on homework. However, each student must turn in his or her own written work which reflects his or her own understanding of the material. An example of how your homework should generally appear when submitted it is available here [would be linked]. You are not expected to type your homework write it out by hand, scan it to a PDF file, and upload your PDF file to the assignment's drop box. The filename for your uploaded PDF file should contain your surname (family name) and an indicator of the assignment (for example: surnamehomework-lessons pdf). Exams: Two take-home tests will be given. You will have as a minimum 2 weekends of time to complete the exam. You are expected to work alone on this exam, and are free to use whatever material that you have your disposal. Late exams will not be accepted unless there are mitigating circumstances. Each exam is worth 40% of your grade. You final grade will be determined by following table: Letter Grade Ranges A A B B B C C C D F

6 Course Schedule & Due Dates Course Schedule Week/Dates Unit/Lesson Title Unit/Lesson Objectives Assignments Due Representation of derivatives Chapters , 2.1, , 2.4, and 2.5 Week 1 Monday, September 1 through Sunday, September 7 (Sep.1 Sep.7) Introduction to Differential Equations Separable and Exact Differential Equations Solving linear first order homogeneous differential equations Solving first order nonhomogeneous differential equations Solve differential equations using Separation of Variables method Solve using exact differential equation Page 9: Problems 1-a, 1d, 4, 5a, 5e, and 5h Page 32-33: Problems 9 and 11 Page 60: Problem 6 Page 61: Problem 12 Page 69: Problems 1c, 1f, 1i Page 70: Problems 5c, 5h Assignment is due 5PM EST on September 8, Week 2 Sep.8 Sep.14 Linear Differential Equations of Second Order and Higher Linear dependence or independence Homogeneous linear ordinary differential equation with constant coefficients Understanding the total solution to linear ordinary differential equations Solution to linear ordinary differential equation with constant coefficients Chapters 3.1, 3.2, 3.3, 3.4., Page 83: Problems 2b, 2f, 2h, 3g, 3h, 6a, and 6c Page 89: Problems 1c, 1f, 1i, 2b, and 2e Page 90: Problem 7 Pages : Problems 2b, 2n, 2o, 6b, 6c, 8b, and

7 Course Schedule 8f Page 131: Problems 1c and 1g Assignment is due 5PM on September 15, Chapters , 3.9, Page 148: Problems 1a, 1f, 1l, 2a, 2f, and 2q Week 3 Sep.15 Sep.21 Non-Homogeneous Differential Equations with Constant Coefficients Method of undetermined coefficients System of differential equations Page 170: Problems 5a, 5e, 5j, and 8 Page 254: Problems 3, 5, and 9 Laplace Transforms Page 260: Problems 1b, 1c, 1d (Use partial fraction only), 3a, 3c, and 3f Homework due 5:00 PM on September 22, 2008 Exam 1 will be available on September 15 and is due 5:00 PM on September 29, 2008 Week 4 Sep.22 Sep.28 Laplace Transforms and Differential Equations Linear Algebraic Equations Partial Fraction Expansion Application of Laplace transforms to differential equations Special functions and applications Chapters , , and Basics of the solutions to algebraic Page 266: Problem 1d

8 Course Schedule equations Gauss elimination and Gauss- Jordan elimination to solve Page 267: Problems 1i, 1n, 1t, and 3 Page 274: Problems 1a, 1e, 2c, and 2d Page 275: Problems 5a and 5e Page 280: Problems 1a, 1c, 1j, 2a, and 2c Page 407: Problems 1m and 1p Page 408: Problems 6a, 6c, and 8 Homework is due by 5PM on September 29, 2008 Understand fundamentals of vector spaces Chapters , Week 5 Vector Spaces Sep.29 Oct.5 Understand the dot product and its properties Cauchy-Schwartz inequality Fundamentals of the norm, orthogonality and function spaces Bases and supspaces Dependent and independent vectors Dimensions of vector spaces Page 415: Problem 5 Page 418: Problem 6 Page 421: Problems 4a and 4d Page 428: Problems 1a and 1e Page 429: Problems 6d and 9b Span of vectors Best approximations Page 438: Problems 12c and 12e Page 443: Problem 1b, 1c,

9 Course Schedule and 3 Page 447: Problem 2a, 2c, 3b, 3f and 3n Page 456: Problems 1c, 1f, 1i, 2c, and 4e Page 462: Problem 4b Homework is due by 5PM on October 6, 2008 Chapters , 10.5, and Page 479: Problems 1 and 5 Week 6 Oct.6 Oct.12 Matrices and Linear Equations Understand matrices and basic operations of addition and multiplication Special Matrices Partitioning transpose and determinant of a matrix Matrix rank Row and column spaces Linear equations and matrices Page 480: Problem 10 Page 486: Problem 6 Page 493: Problems 6a and 6c Page 506: Problems 1c and 1d Page 507: Problem 11 Page 522: Problems 1c and 1h Page 523: Problems 5b and 5c Homework due October 13, 2008 Exam 2 handed out October 6 and due October

10 Course Schedule 20, The eigenvalue/eigenvector problem Solving for eigenvalues and eigenvectors Chapters 11.1, , , and 11.4 Week 7 Oct.13 Oct.19 Eigenvalues and Eigenvectors Eigenspaces Application to differential equations Properties to symmetrical matrices None Assigned Complete exam 2 and submit by October 20, Diagonalizing an matrix REMINDER: Each "week" of the course begins on Monday and ends on the following Sunday at 11:59 PM EST. Assignments for the each week must be submitted to the appropriate drop box before 5:00 PM EST on the following Monday (see table above for exact dates) for the submission to be considered "ontime". Technical Requirements Please refer to the system requirements of the University s ANGEL LMS ( University Additions Course Syllabus Mission of the University: Washburn University enriches the lives of students by providing opportunities for them to develop and to realize their intellectual, academic, and professional potential, leading to becoming productive and responsible citizens. We are committed to excellence in teaching, scholarly work, quality academic and professional programs, and high levels of faculty-student interaction. We develop and engage in relationships to enhance educational experiences and our community. Washburn University Board of Regents, 2010 Definition of a Credit Hour: For every credit hour awarded for a course, the student is typically expected to complete approximately one hour of classroom instruction, online interaction with course material, or direct faculty instruction

11 and a minimum of two additional hours of student work each week for approximately 15 weeks for one semester or the equivalent amount of work over a different amount of time. Academic Misconduct Policy: All students are expected to conduct themselves appropriately and ethically in their academic work. Inappropriate and unethical behavior includes (but is not limited to) giving or receiving unauthorized aid on examinations or in the preparation of papers or other assignments, or knowingly misrepresenting the source of academic work. Washburn University s Academic Impropriety Policy describes academically unethical behavior in greater detail and explains the actions that may be taken when such behavior occurs. For guidelines regarding protection of copyright, consult For a complete copy of the Academic Impropriety Policy, contact the office of the Vice President for Academic Affairs, Bradbury Thompson Alumni Center Suite 200, or go on-line to: Disability Services: The Student Services Office is responsible for assisting in arranging accommodations and for identifying resources on campus for persons with disabilities. Qualified students with disabilities must register with the office to be eligible for services. The office MUST have appropriate documentation on file in order to provide services. Accommodations may include in-class note takers, test readers and/or scribes, adaptive computer technology, brailled materials. Requests for accommodations should be submitted at least two months before services should begin; however, if you need an accommodation this semester, please contact the Student Services Office immediately. Location: Student Services, Morgan Hall Room 135 (new location) Phone: or TDD student-services@washburn.edu Students may voluntarily identify themselves to the instructor for a referral to the Student Services Office. Office of Academic Advising: As a Washburn student, you may experience difficulty with issues such as studying, personal problems, time management, or choice of major, classes, or employment. The Office of Academic Advising is available to help students either directly through academic advising, mentoring, testing and developing learning strategies or by identifying the appropriate University resource. If you feel you need someone with whom to discuss an issue confidentially and free of charge, contact Academic Advising in Morgan 122, , advising@washburn.edu. Withdrawal Policy: During fall and spring semesters, students may go online and withdraw from full semester courses through the second week of class with no recorded grade. From the third through the eleventh week a W is recorded for any dropped course. After the eleventh week, there are NO withdrawals, and a grade will be assigned for the course. These deadlines will be different for short-term, out-of-sequence,

12 or summer courses. To view the deadline dates for your courses visit the Last Day Deadlines web page at: Attendance/Administrative Withdrawal: Although it is the student's responsibility to initiate course withdrawals, an instructor, after due notice to the student, may request withdrawal of the student from a course because of nonattendance through the same date as the last day a student may withdraw from a course. This would NOT absolve the student of financial responsibility for tuition/fees for the course in question. The inclusion of this information in the course syllabus is considered due notice. Official Address: Your Washburn University address will be the official address used by the University for relaying important messages regarding academic and financial information and the University will consider this your official notification for important information. It may also be used by your instructors to provide specific course information. If you prefer to use an alternate address to receive official University notices, you can access your MyWashburn account, choose the "Options" tab, and select "Settings", scroll to the bottom of the screen, click enable forwarding and enter the address you would like your Washburn s forwarded to in the mail forwarding area. Click add and the click on save changes. This will complete the process of forwarding your Washburn . It is your responsibility to ensure that your official box does not exceed your message quota resulting in the inability of messages to be accepted into your mailbox. Success Week: Success Week for undergraduate students is designated as the five week days preceding the first day of scheduled final examinations each Fall and Spring semester. Success Week is intended to provide students ample opportunity to prepare for final examinations. For academic programs, the following guidelines apply: A. Faculty are encouraged to utilize Success Week as a time for review of course material in preparation for the final examination. If an examination is to be given during Success Week, it must not be given in the last three days of Success Week unless approved by the Dean or Department Chair. Assignments worth no more than 10% of the final grade and covering no more than one-fourth of assigned reading material in the course may be given. B. Major course assignments (extensive research papers, projects, etc.) should be due on or before the Friday prior to Success Week and should be assigned early in the semester. Any modifications to assignments should be made in a timely fashion to give students adequate time to complete the assignments. C. If major course assignments must be given during Success Week, they should be due in the first three days of Success Week. Exceptions include class presentations by students and semesterlong projects such as a project assignment in lieu of a final. Participation and attendance grades are acceptable.

13 The Success Week policy excludes make-up assignments, make-up tests, take-home final exams, and laboratory examinations. It also does not apply to classes meeting one day a week for more than one hour. All University laboratory classes are exempt from this policy.