1. Attribute Assessment Implementation – ME 4R03 Saeid Habibi

2. 2 Course Objective The purpose of this course is to introduce the following: Characterization of systems by Modeling Analysis by looking at system performance and response in frequency and time domains Design of controllers for LINEAR single input single output systems.

3. Attributes CEAB has defined 12 Graduate Attributes – example of an Attribute: “A knowledge base for engineering” – McMaster has added a 13 th attribute on sustainability. Each attribute has a number of ‘indicators’ associated with it. – Example of an indicator for the attribute ‘knowledge base for engineering’: “Competence in engineering fundamentals” We need to measure ‘indicators’ 3

4. Attributes McMaster has adopted 13 Graduate Attributes Knowledge base for engineering Problem analysis Investigation Design Use of engineering tools Individual and team work Communication Professionalism Impact of engineering on society and environment Ethics and equity Economics and project management Life-long learning Sustainability 4

5. Attributes to be Measured in ME4R03 McMaster has adopted 13 Graduate Attributes Knowledge base for engineering 4R03 -2011/2012 Problem analysis Investigation 4R03- 2012/2013 Design 4R03- 2012/2013 Use of engineering tools Individual and team work Communication Professionalism Impact of engineering on society and environment Ethics and equity Economics and project management Life-long learning Sustainability 5

6. ME 4R03 Indicators (we are measuring learning outcomes that relate to the ‘indicators’) Knowledge base for engineering 4R03 -2011/2012 – Competence in Mathematics – Competence in Engineering Fundamentals – Competence in Specialized Engineering Knowledge Investigation – Able to recognize and discuss applicable theory knowledge base – Capable of selecting appropriate model and methods and identify assumption constraints. Design – Recognizes and follows an engineering design process – Recognizes and follows engineering design principles – Obtains experience with open-ended problems – Able to determine and include appropriate health and safety considerations – Ability to undertake a major engineering design project and produce a unique solution, individually or as a member of a team 6

7. 7 Design Process Classical Control Physical System Mathematical Model Implementation & Tuning Design Analysis January February March Exams: Mathematical modeling –Midterm 1 Analysis: –Midterm 2 Design & Implementation –Final – All Material

8. 8 Marking Scheme Course Requirements: Requirement % of Final MarkDate Midterm 1 (20 %): End of January Midterm 2 (20 %): End of February Final Test (60 %):April Assignments Large sample of questions and answers posted on the Avenue to Learn for self study and assessment

9. 9 Knowledge Base in Engineering Physical System Mathematical Model January Knowledge base for engineering 1.Competence in Mathematics 2.Competence in Engineering Fundamentals 3.Competence in Specialized Engineering Knowledge Student work used for measurement: Midterm 1 Midterm 2 Final exam Assessment through rubrics Analysis February

10. 10 Course Topics 1.Course Introduction 2.Modeling in the Frequency Domain 3.State Space Representations 4.Time Response 5.Reduction of Multiple Subsystems 6.Stability 7.Steady State Errors 8.Root Locus Techniques 9.Design Via Root Locus 10.Frequency Response Techniques 11.Design Via Frequency Response

11. 11 Course Topics 1.Course Introduction 2.Modeling in the Frequency Domain 3.State Space Representations 4.Time Response 5.Reduction of Multiple Subsystems 6.Stability 7.Steady State Errors 8.Root Locus Techniques 9.Design Via Root Locus 10.Frequency Response Techniques 11.Design Via Frequency Response Knowledge Base in Engineering

12. 12 Course Topics 1.Course Introduction 2.Modeling in the Frequency Domain 3.State Space Representations 4.Time Response 5.Reduction of Multiple Subsystems 6.Stability 7.Steady State Errors 8.Root Locus Techniques 9.Design Via Root Locus 10.Frequency Response Techniques 11.Design Via Frequency Response Knowledge Base in Engineering Knowledge base for engineering 1.Competence in Mathematics 2.Competence in Engineering Fundamentals 3.Competence in Specialized Engineering Knowledge Rubrics

13. Rubric – Competence in Mathematics TopicBelow Expectations MarginalMeets Expectations Exceeds Expectations #1: Review of Laplace Transform (Q1 – Midterm 1) - Does not understand Laplace transformation - Understands the properties of Laplace transformation - Can develop transfer functions models - Can apply partial fraction decomposition and apply the inverse Laplace transform - Understands the concept of linearity and relate it to transfer functions and initial conditions - Can understand and related frequency response to Laplace variable #2: Complex Numbers (Q1.a - Final) (Q4 – Midterm 2) - Does not understand complex numbers - Can evaluate magnitude and angle of vectors in s- plane - Can apply complex number theory for tracing movement of poles given change of gain - Can understand and use conformal mapping

14. Rubric – Competence in Engineering Fundamentals TopicBelow Expectations MarginalMeets Expectations Exceeds Expectations #1: Modeling (Q1 to 4 - midterm 1) - Cannot apply differential equations for modeling - Can model systems using ODEs - Can apply Laplace transformation to these equations - Understand mathematical and physical definition of linear systems - Can develop transfer functions models for linear systems - Can represent models in state space form - Can use block diagrams or signal flow graph to deal with complex systems and simplify them to final form - Can deal with non- linear systems

15. Rubric – Competence in Specialized Engineering Knowledge TopicBelow Expectations MarginalMeets Expectations Exceeds Expectations #1: Introduction to Feedback Control Systems (not measured) - Does not understand the difference between closed and open loop control - Does not understand the basic instrumentation requirements - Understands the elements in a closed loop control loop - Can explain the math. basis for block diagram representation - Can develop complex block diagram representations #2: Frequency Domain Analysis (Q3 - Final) - Does not understand frequency response - Can analyze frequency response - Using Bode plots - Can relate frequency response to stability - Can understand safety margins - Can used gain and phase margins in design #3: Time Response Analysis (Q3 & Q4 – Midterm 2) - Does not understand time response - Does not understand inverse Laplace transform - Can generate time response - Can relate time response to Transfer function type and order in particular type 0, 1 st and 2 nd order - Can understand the influence of poles and zeros on time response - Can translate requirements to pole/zero positions - Can understand and apply the concept of dynamic significance and dominance - Understands non- minimum phase systems #4: Stability (Q1 & Q2 – Midterm 2) - Cannot relate pole position to stability - Understand stability, marginal stability, and instability - Can apply Routh Hurowitz to special cases and in design - Understands Nyquist analysis #5: Steady State Errors (not measured) - Does not understand steady state error - Can understand and calculate steady state error - Can calculate steady state error for various types of system and states - Can apply steady state error concept in design #6: Root Locus Techniques (Q1.a – Final) - Does not understand root locus - Understands the concept and knows the rules for obtaining root locus - Can sketch root locus of simple systems - Can apply all rules to complex non- minimum phase systems

16. Competence in Mathematics Measurement

17. Measurement by Assessment TopicBelow Expectations MarginalMeets Expectations Exceeds Expectations #1: Review of Laplace Transform (Q1 – Midterm 1) - Does not understand Laplace transformation - Understands the properties of Laplace transformation - Can develop transfer functions models - Can apply partial fraction decomposition and apply the inverse Laplace transform - Understands the concept of linearity and relate it to transfer functions and initial conditions - Can understand and related frequency response to Laplace variable /////// //// //// //// ///

18. Competence in Mathematics 18

19. Conclusions Students do not have a good background in complex numbers More review lectures needed both for Laplace and complex numbers

20. Competence in Engineering Fundamentals Measurement

21. So what do we do with this data? 21 Average of Attribute (Topic # 1Modeling):

22. Conclusions The coverage and background are good

23. Competence in Specialized Engineering Knowledge Measurement

24. Competence in Specialized Engineering Knowledge 24

25. Observations More needed in frequency response and root locus analysis Root locus relies heavily on complex numbers Stability and time response OK

26. Plan for next year Have 1 question specifically on Laplace, but probe more Add a lecture on complex numbers + example Have a question on complex numbers More time and emphasis on freq. and root locus analysis – both in lecture time and exam Have exam questions on Topic #1 (midterm 1) and Topic #5

27. Suggestions Choose coarse grain selection of topics Come up with the Rubrics right away Carefully design your tests – come up with draft tests (midterms/final) at the beginning of the course Group and segment questions according to Rubric Allow additional time for assessment (Approx. 1 day) Incorporate attribute assessment into marking strategy Mechanism needed to record the assessment process

28. Comments We all do it! But in an unstructured way! Overall not a bad concept – allows an in-depth annual review and self examination of course objectives Enables root cause analysis Can lead to continuous improvement of course contents Not all attributes and indicators apply – problem simpler than it appears It will take a couple of iterations to get it right (2 or 3 offerings of the course) Use Marilyn’s example – that is what I used to prepare mine!!

29. Conclusions It can be done There may be many reasons why not to do it; but two reasons why we must: – Our accreditation depends on it; and – It will improve our program. We have to implement in the next 2 year to be ready for the accreditation

30. Documentation of Measurement Results Need to write a short document summarizing results. It should include: – Rubric used for measurement – Corresponding exam or test – Distributions for each learning outcome area – Identified areas for continuous improvement – Sample exam papers with performance in each area (below expectations, marginal, …) – Suggestions for how to improve measurement procedure (if any) Need to identify a database where these documents can be kept. 30