Making calculus relevant: final exam in the time of COVID-19

Topics for Final Exam in Calculus 1 B

The real final exam.

Editor’s Note: Every departing Medical Student, Graduate Student, Urology Research Resident, and Post-Doctoral Fellow trained in Dr. Donald S. Coffey’s laboratory or classroom for 4 decades has been given this “real final exam”—in either oral, written, or both forms. Some believe the wisdom in it passed on to the next generations of cancer researchers is as vast and generous and dedicated to th...

Time Series Modeling of Coronavirus (COVID-19) Spread in Iran

Various types of Coronaviruses are enveloped RNA viruses from the Corona-viridae family and part of the Coronavirinae subfamily. This family of viruses affects neurological, gastrointestinal, hepatic, and respiratory systems. Recently, a new memb-er of this family, named Covid-19, is moving around the world. The expansion of Covid-19 carries many risks, and its control requires strict planning ...

14.41 Final exam, 2009

Please answer the following questions in your blue book, one question per blue book. No credit will be awarded for answers without explanations. Calculators are allowed, but no points will be taken o¤ if you are unable to simplify a mathematical expression. Point totals are provided next to each question; the suggested number of minutes to spend on each question roughly corresponds to the point...

Math 312 Final Exam

a) What are the possible values for the rank of A? Why? Solution By the Rank-Nullity Theorem 0 ≤ rank (A) ≤ min{6, 4} = 4. b) What are the possible values for the dimension of the kernel of A? Why? Solution Since dim(image(A)) ≤ 4, by the Rank-Nullity Theorem 2 ≤ dim ker(A) ≤ 6. c) Suppose the rank of A is as large as possible. What is the dimension of ker(A)? Explain. Solution Since then dim(i...