+ Q = F (t ) (1) dt CHere t denotes time, Q denotes the charge on the capacitor at time t, R denotes the resistance ofthe resistor, C denotes the capacitance of the capacitor, and F(t) denotes the applied voltage. Oneway to view equation (1), which we shall call the mathematician’s point of view, is that thismodel equation is simply a first-order linear ordinary differential equation for which there is awell-established solution procedure. (See, for example, Edwards and Penney4 pp. 46 – 47.) Thispoint of view is satisfying to the mathematician because it demonstrates the utility ofmathematics. However, regarding the RC circuit as a “solved problem” does not
the product of the twosets. The set union, intersection and difference operations are all available in Python thusenabling one to verify Demorgan’s law for sets.Logic:In logic students typically are requires to generate truth tables for a variety of Booleanexpressions. Python directly supports conjunction and disjunction in terms of the build inprimitives and and or, the negation is done using not. A nested loop can be constructed togenerate the truth table for standard logic operators such as the and for p in (True, False): for q in (True, False): print "%10s %10s %10s" % ( p, q, p and q)Once again the code is highly intuitive and requires minimal coding ability. The print
kunit length of trail laid by the kth ant on the edge (i, j ) between time t and t - n . The quantity m Fvk ?1 ij k measures the additional trail traffic, whereFv ij ? Q / Lk if kth ant travels the edge (i, j ) in its tour in time [t , t - n], else 0 (6) kwhere Q is a constant and Lk is the tour length of the kth ant so that the shorter the tour is, themore will be the chemical reinforcement. The quantity of trail v ij at time t ? 0 is set to a smallconstant c . A data structure, say, cv list, where cv stands for “city-visited” is maintained. This list is adynamically growing vector that consists of all the cities already visited by an ant up to time t(maintaining the order in which
/2003 – 05/2003), University of Minnesota, Department of Geology and Geophysics • Research/Teaching Assistant (07/1998 – 02/2000), Nanjing University, Department of Earth Science, China • Construction Engineer and Geotechnical En- gineer (06/1994 – 06/1998) Nanjing Construction Company, China PUBLICATIONS Book Chapter Sediment pollution, Handbook of Hydrology, 2012 Journal paper 1. Qian, Q., Voller, V. and Stefan, H., 2010, Can the ”dispersion tensor model” for solute exchange in the sediment bed of a stream or lake be simplified? Advances in Water Resources 33 (2010) 1542–1550. DOI:10.1016/j.advwatres.2010.09.001 2. Qian, Q., Voller, V. and Stefan, H., 2009, Mod- eling of vertical solute dispersion in a sediment
advantage of the geometric approach:replacing the onerous task of checking that a tensor’s components obey the proper transformationrule with the (usually) easier task of identifying a linear tensor relationship.As already mentioned, tensors of rank greater than two can also be regarded as linear operators.When a tensor of rank three operates on a vector, the result is a tensor of rank two. When a tensorof rank four operates on a tensor of rank two, the result is a tensor of rank two. When a tensor ofrank 4,086 operates on a tensor of rank 1,237, the result is a tensor of rank 2,849. And so on andso forth. In general, a tensor Q of rank k has 3k components given, similarly to (11), by Qi1 i2 ...ik−1 ik = ((· · · ((Q · e
parents tendto have smaller numbers of children, assume that the birth rate a is reduced by 5 percent. Hint: Problem 6 can be done by using solution tool for (5) in two steps: First, work withthe current population, birth and death rates to find Spain's population four years from now. Readoff this population as best you can from the graph and use it as the new value for P0. Also findthe modified values of a and b to calculate the population change over the next four years. Page 23.1333.7 Project 2: Electrical LRC Series CircuitsThe charge q(t) as a function of t in an electrical LRC series circuit, see Figure 2
= 0.00245). Figure 2: Q-Q Plot ExampleR syntax: coffee=c(9.9, 9.7, 10.0, 10.1, 9.9, 9.6, 9.8, 9.8, 10.0, 9.5, 9.7, 10.1, 9.9, 9.6, 10.2, 9.8, 10.0, 9.9, 9.5, 9.9) qqnorm(coffee) qqline(coffee) t.test(coffee,mu=10)Example 2:A study was conducted to examine the effect of pets in stressful situations. Subjects wererandomly assigned to each of three groups to do a stressful task alone (the control group), with agood friend present, or with their dog present. The subject’s mean heart rate (in beats perminutes) during the task is one measure of the effect of stress. The data has the mean heart ratesduring stress with a pet (P), with a friend (F) and for the control group (C).Result: The
Q Heat flo w bright. x =0 x fin C) +42.48 [W] x=L c ross
) integrand=x.^3;Then using the following command, you can evaluate this definite integral as: >> Q=quadl(@myint,-2,6) Q = 320Which is the correct value, that can be verified by calculating: >> 6^4/4-(-2)^4/4 ans = 320Alternatively, we could use an inline function to define our integrand, such as: >> myint=inline('c*exp(j*pi*x)','x','c') myint = Inline function: myint(x,c) = c*exp(j*pi*x)In this case our integrand consists of two variables, c, and the variable of integration, x. To makesure the function quadl knows which variable is the variable of integration we would use the syntax: Q=quadl(@(x)myint(x,2),0,1) Q = 0.0000 + 1.2732iThis command evaluates the integral
class review/Q&A online Station #1 Station #2 online quiz quiz Three-station 10 min 10 min 40 min 40 min 40 min 10 min class review/Q&A online Station #1 Station #2 Station #3 online quiz (workshop) quizFigure 3. Class timeline (150 minutes)Learning Assistant Classroom SupportAn important part of the rotating station design was the availability of an undergraduate LearningAssistant (LA) provided by the University. Undergraduate students who qualify to become anLA have earned an A or B+ in the course they are an LA for, successfully
uniform load of intensity q. The deflection v(x) of the beam satisfies the conditions qx 2 qL2 v' ' ( x ) = − qLx + , 2 2 v' (0) = 0, v ( 0) = 0. Solve this initial-value problem for v(x). Your answer will involve q and L. • A cantilever beam is subjected to a moment M0 acting at the free end. The strain energy is defined to be equal to L M2 U = ∫ 0 dx, Page 12.938.5 0 2 EI 4 where the
Ftotal = k f 2We find empirically that k ranges between 6 and 9 for the College of Engineering and Science atLouisiana Tech university for each year starting in 2000. Figure 1. shows the f-index for 2007-08, here k =6. Page 25.165.3 f-index for 2007-08 14 12Number of Students 10 8 6 4 2 0 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
rules for the addition, composition, and inversion of rational relations will now bestated and proved. The following theorem extends that given in 8 by adding a rule for the equalityof two rational relations. Also, the proof presented here uses relational identities.Theorem 10.2 The set of rational relations (Q, +, ·) is a subseminearring of L(C∞ ). For alla1 , a2 ∈ B, and all b1 , b2 , g ∈ B\{0}, a1 ga2 a1 a2 coprime(b1 , a2 ) ⇒ = , (43) b1 g b2 b1 b2 a1 a2 a1 b2 + a2 b1 coprime(b1 , b2
, W., K., Digital Image Processing, John Wiley & Sons, NY, (1991). 13. Russ, C. J. and Russ, J. C., Introduction to Image Processing and Analysis, CRC Press, Florida, (2008). 14. Schalkoff, R. J., Digital Image Processing and Computer Vision, John Wiley & Sons, NY, (1989). 15. Schmeelk, J., “Transforms Filters and Edge Detectors in Image Processing”, International Journal of Pure and Applied Mathematics, 46, No. 2, (2008), 199-208. 16. Zhang, I., Wang, Q.,G., Qi, J., P.,” Processing Technology in Microscopic Images of Cancer Cells in Pleural Fluid Based on Fuzzy Edge Detection Method”, Journal of Physics: Conference, 48, (2006), 329-333.JOHN SCHMEELKjschmeelk@qatar.vcu.eduVirginia
) = 5 3 1 9 1 4 b) 3 (2x 1) + = ( 13 x + 1) + 3 d) x+3= x+2 3 3 3 3. Utilizar una o varias ecuaciones para resolver los siguientes problemas: a) Juan ve los planos de su oficina y le encarga a Roberto colocar piso de madera, ´este le dice que costar´ a Q. 200.00 por metro cuadrado. Luego del trabajo, el total de la factura que presenta Roberto es de Q. 11,200.00. ¿Qu´e tama˜no tiene el
. 5. Total cost and profit.In the electric field of a line of charge example, a thin, uniformly charged rod of length L withtotal charge Q generates an electric field. Students are guided to find the strength of the field atdistance d in the plane that bisects the rod. Figure 1 Line of ChargeThe total charge Q is divided into many small point-like charges ΔQ located at points 𝑦𝑖 and theelectric field from each of them is determined. The net field can be found by summing the fieldsof all the point-like charges ΔQ and forming a Riemann sum. By taking the limit as the numberof point-like charges ΔQ increases to infinity, the Riemann sum will converge to a definiteintegral. The integral can be
least squares procedure by solving it for all j coastdown data sets in conjunction withsimultaneous consideration of appropriate constraining condition q (a1, j ) so that not only r r2( ) A a − b is minimized but r r2 ( ) A a − b + λ q (a1, j ) = min . , (5)where λ is a Lagrangian multiplier. In this way the coefficients a2 of the different vehicleconfigurations and thus their aerodynamic drag coefficients cd can be determined 7.In Figure 3 the velocity-time histories of the coastdowns of a vehicle with three differentaerodynamic configurations is illustrated. The students’ task was the
functions: Inflating a balloon The change in the volume of a constantly inflated / deflated balloon depends on thechange in its radius which changes as a function of time (Figure 10). Figure 10: Inflating a balloonQuestion: What is the change in volume of the balloon as a function of the incoming air flowq(t)?Assuming a spherical balloon, its volume V is 4 𝑉 = 𝜋 𝑟3 3If the radius changes with time due to the incoming air rate, q(t), then according to the ChainRule 𝑑𝑉 𝑑𝑉 𝑑𝑟 𝑑𝑞
: Yij = β0j + β1j X1ij + β2j X2ij + β3j X3ij + β4j X4ij + ijwhere β0j is the intercept for the level 1 equation and β1j , β2j , β3j , β4j are the level 1 coeffi-cients of each X. Also, ij represents the level 1 random effect. The level 1 coefficients andintercept become the outcome variables for the level 2 variables. The level 2 model is βqj = γq0 + γq1 W1j + γq2 W2j + γq3 W3j + γq4 W4j + uqjwhere γqj , q = 0..4, are the level 2 coefficients of each W and uij represents the level 2random effect.The first step in the analysis is to run the empty or unconditional model (Model 1) and com-pute the intraclass correlation coefficient (ICC) in order to compute the proportion of the totalvariance in each class. For this
the MAA national study of college calculus. Washington, DC: MAA Press.Deci, E. L., Vallerand, R. J., Pelletier, L. G., & Ryan, R. M. (1991). Motivation and education: The self-determination perspective. Educational Psychologist, 26(3-4), 325–346.Filak, V. F., & Sheldon, K. M. (2003). Student psychological need satisfaction and college teacher-course evaluations. Educational Psychology, 23(3), 235–247.Goldin, G. A., Hannula, M. S., Heyd-Metzuyanim, E., Jansen, A., Kaasila, R., Lutovac, S., & Zhang, Q. (2016). Attitudes, beliefs, motivation and identity in mathematics education: An overview of the field and future directions. Springer.Guay, F., Vallerand, R. J., & Blanchard, C. (2000). On the
Arizona State University students succeed. Retrieved from http://www.knewton.com/assets-v2/downloads/asu-case-study.pdf 5. Small, D. (2002, May/June). An urgent call to improve traditional college algebra programs. MAA Focus. (Summary of the Conference to Improve College algebra held at the U.S. Military Academy, February 7– 10, 2002.) 6. DeBra, P. (2006). Web-based educational hypermedia. In C. Romero, & S. Ventura (Eds.), Data mining and e-learning (pp. 3–17). Southampton, UK: WIT Press. 7. Rajan, R. (2013). Adaptive learning market acceleration program RFP Q & A webinar. Retrieved from: gatesfoundation.org. 8. Brusilovsky, P., & Millán, E. (2007). User models for
assessments," Teacher Education and Special Education, vol. 29, pp. 261-274, 2006.[4] Q. Hang and K. Rabren, "An Examination of Co-Teaching: Perspectives and Efficacy Indicators," Remedial and Special Education, vol. 30, no. 5, pp. 259-268, 2009.[5] T. Moorehead and K. Grillo, "Celebrating the Reality of Inclusive STEM Education: Co-Teaching in Science and Mathematics," Teaching Exceptional Children, vol. 45, no. 4, pp. 50-57, 2013.[6] J. D. Orlander, M. Gupta, B. G. Fincke, M. E. Manning and W. Hershman, "Co‐ teaching: a faculty development strategy," Medical Education, vol. 34, no. 4, pp. 257- 265, 2000.[7] C. Rasmussen and J. Ellis, "Who is Switching out of Calculus and Why?," in Proceedings of the 37th Conference of
) C / 9b2 84.2 ± 37.5 (19) 100.0 ± 0.0 (20) A / D3 78.8 ± 19.7 (17) 70.9 ± 22.3 (35) B / D3 88.3 ± 10.3 (12) 70.8 ± 22.9 (43) C / D3 87.4 ± 22.6 (19) 91.3 ± 5.0 (20)1 Equilibrium constant expression K from common exam questions.2 Equilibrium quotient expression Q from common exam questions.3 Multiconcept equilibrium problem.Table 2. Results from Examination 1, reported as mean ± standard deviation(sample size). Results are shown for the instructor’s test and standard hours.References1. Hawkes, S.J., J. Chem. Ed., 2003, 80, 1381.2. Lewis, D.L., J. Chem. Ed., 2004, 81, 1265.3. de Levie, R. Aqueous Acid-Base Equilibria and
understanding. By including reflective writing, teachers can promotehigher order critical thinking and return responsibility for learning back to the students. While itis true that rote practice is still essential in mathematics, the developers stress that evenimplementing parts of an EFFECT are an excellent way to engage students and start thedevelopment process of creating entire units of study designed around the EFFECT framework.References[1] EFFECTs Web page: http://sdii.ce.sc.edu/effects/?q=node/14[2] Mason, Gregory S.; Shuman, Teodora Rutar; Cook, Kathleen E. “Comparing the Effectiveness of an InvertedClassroom to a Traditional Classroom in an Upper-Division Engineering Course” IEEE TRANSACTIONS ONEDUCATION 56 (4), 430-435, 2013.[3] Latterell
Processing”, International Journal of Pure and Applied Mathematics, 46, No. 2, (2008), 199-208. 18. Zhang, I., Wang, Q.,G., Qi, J., P.,”Processing Technology in Microscopic Images of Cancer Cells in Pleural Fluid Based on Fuzzy Edge Detection Method”, Journal of Physics: Conference,48, (2006), 329-333. Appendix A RELATIVE EFFECTIVENESS OF DIFFERENT EDGING TECHNIQUESFigures Parameters Techniques Different Comments viewsFigure 4 vertical Calculations Different view This is a threevertical
obtaining evidence of improved studentachievement during the early “period of classroom adjustment” that occurs when an innovationis introduced into a new classroom setting and the difficulty of seeing learning improvement thefirst few times an innovation is used25 (p. 98). PI: So if you had to rate this whole experience [of using the online forum in Calculus I], one to ten, what would you rate it? MI: Pretty highly – with ten being the best, right? Q: Yeah… A: I’d say an eight. Q: An eight? A: Yeah, I’d say an eight. I mean I would love to have seen dramatic increases in performance on exams, but you know, realistically we shouldn’t even expect that
Question All seventeen participants’ written and interview responses to the following research question are evaluated in this work: Q. Can you calculate the integral . ? Would you prefer to find an approximate answer for this integral or would you rather find the exact solution? One of the researchers interviewed the participants and interviews are video recorded and transcribed by the main author of this article. The questionnaire (i.e. written) data collected prior to the interviews are displayed in the next section.Written Responses The written questionnaire responses of the students are collected prior to the completion of the numerical methods/analysis course that
satisfaction with your assigned mentor 6 14 46 21 Your overall satisfaction with all aspects of the mentoring 9 13 48 17 program.The peer-mentoring program also included periodic visits by the engineers from localcompanies. Several students attended the organized events and interacted with the engineers toform a better idea about the engineering profession. Many of the engineers shared theireducational experiences, gave insightful advice and tips on time management and priorities. Thecasual interaction with the visiting engineers after the Q&A sessions typically received highmarks from the
Corbett. "An Innovative Approach to Secondary Mathematics for Engineering and Science," Proceedings of Frontiers in Education Conference, 2013, Oklahoma City, OK.[19] Shadaram, Mehdi, Brandy Alger, and Mauli Agrawal. "Implementation of Just in Time and Revamped Engineering Math Courses to Improve Retention and Graduation Rates." Proceedings of Frontiers in Education Conference, 2013, Oklahoma City, OK[20] Reid, Kenneth, David Reeping, Tyler Hertenstein, Graham Fennel, and Elizabeth Spingola. "Development of a Classification Scheme for “Introduction to Engineering” Courses" Proceedings of the Frontiers in Education Conference, 2013. Oklahoma City, OK.[21] Aung, K, Underdown, R. Qian, Q. "K-12 Engineering Education Priorities
) > 0 when x > 2 , f ′′( c ) = 0 for an x = c such that − 1 < c < 1 .A similar research question in the literature was used to understand STEM undergraduate and graduate students’ability to answer the following research question19:Q. Please draw the graph of f ( x ) = x x +1 at (e) below by finding and applying each of the following information ifthey are applicable.a) Vertical and horizontal asymptotes of f(x) and limiting values of f(x) at the vertical asymptotes if there exists any vertical asymptote.b) Local maximum, local minimum and inflection