No abstract

Most electronics courses taught these days are planned around what is called a lecture-and-lab environment. This environment traditionally uses lectures on subject matter and is supplemented by laboratory experience. If the laboratory experiments are not generating the expected results, very often the whole experiment needs to be repeated. The unexpected results could be due to faulty components, incorrect design specifications, or improper connections. Nonetheless, implementing a circuit in the lab with undesired output might be time consuming. However, having an electronics simulator will enable the students as well as the instructor to analyze the performance of a circuit prior to implementing the actual hardware components. This paper investigates design, simulation and implementation of a decade counter using modern computer hardware and software. This effort will focus on developing an integrated solution of a digital electronics project that will be based on a hybrid environment in which the design and experiments will be simulated and tested in virtual as well as with real electronics components. Students' outreach program in this study is to motivate students to enroll in Electronics Engineering Technology program.

The original research is to make connection between classroom mathematics and real life issues through dynamic models using Excel.  After we completed several sample models such as Prey and Predator model, SIR model, we found we did really solve initial value differential equation problems. We even solve initial values system of linear differential equations numerically and graphically.  Therefore we extend our research to solve initial value differential equations using the same approach as we create dynamic models.  We tested first order and second order differential equations and all got satisfactory numerical solutions.

Cardano’s Method is not easily understood by undergraduate students. In this research project, we developed a method that students can understand without advanced mathematics skills. The method we developed only need to use the skills of factoring polynomials in complex field and finding cubic roots of a complex number.The procedures we developed are as following:1) Write cubic equation in the form of A3 + B3 + C3 – 3ABC = 0, where A is a function of x, B and C are complex numbers.2) Solve the quadratic equation Z2 – (B3 + C3)Z + B3 C3 = 0, which gives B and C.3) Factor equation of (1) into (A + B + C)(A +Bw + Cw2)(A +Bw2+Cw) = 0, where w is a complex rootof 1.4) Solve equations A+B+C = 0, A+Bω+Cω2 = 0, and A+Bω2+Cω = 0