Conference Session

Integrating Math, Science, & Engineering

Collection

2006 Annual Conference & Exposition

Authors

Stephen Pennell, University of Massachusetts-Lowell; Peter Avitabile, University of Massachusetts-Lowell; John White, University of Massachusetts-Lowell

Tagged Divisions

Mathematics

+ 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

Conference Session

Use of Technology in Teaching Mathematics

Collection

2006 Annual Conference & Exposition

Authors

Melinda Z. Kalainoff, U.S. Military Academy; Dawn E. Riegner, U.S. Military Academy; Matthew Deloia, U.S. Military Academy; Russ Lachance, U.S. Military Academy; Andrew Biaglow, U.S. Military Academy

Tagged Divisions

Mathematics

) 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