Supporting your neurodiverse student population with the Universal Design for Learning (UDL) framework
IEEE Frontiers in Education Conference ProceedingsRoss, S. R.
2019
This Innovative Practice Work-In-Progress paper describes the application of the Universal Design for Learning framework in ECE courses to support students with a diverse range of strengths and weaknesses, including those who may have “invisible'' disabilities such as attention-deficit hyperactivity disorder (ADHD) or autism spectrum disorder (ASD). Universal design guidelines identify qualities of instruction that take into account the diversity, including physical and neurological diversity, of the student body. This paper provides a summary of the Universal Design for Learning (UDL) guidelines, and examples of their application in ECE courses. The author aims to begin a conversation about the application of UDL principles to ECE courses, and potentially collaborate with other instructors to implement and evaluate UDL in the ECE curriculum.
Do it early and do it often: engineering math for first term EE students
ASEE Annual Conference ProceedingsRoss, S. R.
2018
This paper analyzes a first-year introduction to electrical engineering course. The purpose of the course is three-fold: to introduce new students to the major through a number of engaging laboratory exercises, to introduce new students to other students in their cohort and to electrical engineering faculty at the university, and to reinforce high-school-level mathematics in the context of engineering problems.
WEPAN's 2017 Change Leader Forum: Creating the Mindset for Action
Computing Research NewsRoss, S.R.
2017
The Women in Engineering ProActive Network (WEPAN) held the 2017 Change Leader Forum in Westminster, Colorado from June 12 – 14, 2017. The Forum provided attendees an unparalleled opportunity to engage with diversity and inclusion advocates, and learn research based best-practices related to gender equity and inclusion in engineering. Nearly 200 attendees representing a variety of institutions and roles participated in the Forum, including university leaders, corporate partners, engineering faculty, K-12 teachers, and academic diversity officers. Organized around the Framework for Promoting Gender Equity in Organizations, the annual WEPAN Change Leader Forum offered many ways for participants to interact with experts and like-minded individuals from the academic, corporate, government and non-profit sectors. Creating the Mindset for Action, the 2017 Forum theme, inspired attendees to take action and make real progress in advancing cultural change and responsibility within their own organizations and institutions.
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On positivity of polynomials: the dilation integral method
IEEE Transactions on Automatic ControlBarmish, B.R., Shcherbakov, P.S., Ross, S.R., Dabbene F.
2009
The focal point of this paper is the well known problem of polynomial positivity over a given domain. More specifically, we consider a multivariate polynomial f ( x ) with parameter vector x restricted to a hypercube X sub R n . The objective is to determine if f ( x ) > 0 for all x in X . Motivated by NP-Hardness considerations, we introduce the so-called dilation integral method. Using this method, a “ -softening” of this problem is described. That is, rather than insisting that f ( x ) be positive for all x in X , we consider the notions of practical positivity and practical non-positivity. As explained in the paper, these notions involve the calculation of a quantity which serves as an upper bound on the percentage volume of violation in parameter space where f ( x ) < 0 . Whereas checking the polynomial positivity requirement may be computationally prohibitive, using our -softening and associated dilation integrals, computations are typically straightforward. One highlight of this paper is that we obtain a sequence of upper bounds k which are shown to be “sharp” in the sense that they converge to zero whenever the positivity requirement is satisfied. Since for fixed n, computational difficulties generally increase with k , this paper also focuses on results which reduce the size of the required k in order to achieve an acceptable percentage volume certification level. For large classes of problems, as the dimension of parameter space n grows, the required k value for acceptable percentage volume violation may be quite low. In fact, it is often the case that low volumes of violation can be achieved with values as low as k =2.
A sharp estimate for the probability of stability for polynomials with multilinear uncertainty structure
IEEE Transactions on Automatic ControlRoss, S.R., Barmish, B.R.
2008
This paper addresses the probability of stability for uncertain polynomials that have multilinear functions of real parameters as coefficients. We obtain an estimate for the probability of stability with respect to a class of admissible distributions. This estimate is sharp in the following sense: one obtains a probability of stability of unity when the bounds on the hypercube uncertainty bounding set are below the deterministic robustness radius obtained with the well-known mapping theorem.
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On distributional robustness of systems with complex uncertainty
Systems & Control LettersRoss, S.R., Barmish, B.R.
2007
The main result of this paper addresses the minimum and maximum expected values of a gain measure for the transfer function of a system which depends on a vector Δ of independent random complex gains. In the distributional robustness framework of this paper, the probability density function for Δ is not completely specified. It is assumed only that the distribution of each component Δi is non-increasing with respect to |Δi|, radially symmetric and supported on the disc of radius ri centered at zero in the complex plane. Under these conditions, the expected value of the magnitude-squared of the gain function at a fixed frequency ω⩾0 is shown to be maximized when each Δi is uniformly distributed over the disc of radius ri and minimized when each Δi has the impulse distribution. This result is extended to show that an H2 measure of the gain is also maximized and minimized in the same way. These results apply to quotients of multilinear functions of Δ, which includes system transfer functions obtained using Mason's gain formula.
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New estimates for practical robust negativity of multilinear functions
American Control ConferenceRoss, S.R., Barmish, B.R.
2007
In this paper, we address a fundamental NP-hard problem which arises in many application areas: Determine whether a multilinear function f(x) is negative for all x in a hypercube X. Consistent with the emerging literature, with the goal being to reduce the computational burden, we consider a relaxation of this robust negativity problem. Specifically, we seek to determine whether f(x) remains negative for all x in X except possibly on a set of "acceptably small" volume.
