An S-Ic-I-R epidemic model is investigated for infectious diseases that can be transmitted through carriers, infected individuals who are contagious but do not show any disease symptoms. Mathematical analysis is carried out that completely determines the global dynamics of the model. The impacts of disease carriers on the transmission dynamics are discussed through the basic reproduction number and through numerical simulations.

In many post-secondary, introductory mathematics courses failure and withdrawal rates are reaching as high as 50% and average GPA is steadily decreasing. This is a problem that has been witnessed across the globe. With widespread reforms taking place in K-12 mathematics education, many innovative teaching strategies have been created, implemented, and analyzed in an attempt to increase the conceptual knowledge of mathematics students at all levels. However, most of these strategies are not appropriate for large, lecture-style classrooms as are usually seen in large universities. This paper outlines some teaching and assessment strategies that have been modified to accommodate the needs and restrictions of such classrooms.

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