Applications of Calculus in Medicine and Biology (Math 4)

Mathematical Biology (Math 27)

Instructor: Professor Dorothy Wallace

co-instructor: Jared Corduan

Mathematical Biology (Math 27)

Instructor: Professor Dorothy Wallace

co-instructor: Jared Corduan

Have you ever wondered why medical schools require calculus? Or why biology has recently been described as "the most mathematical science"? Math 4/27 will show how real researchers in medicine and biology use mathematical models to predict change and design strategies for controlling epidemics, administering drugs, managing ecosystems. Using basic calculus and a free online application, The Big Green Ordinary Differential Equation Machine

you can study a multitude of real situations.

Math 4 is for students with one semester of calculus at least. We use a text book developed especially for this course. See the Biology Department web site for how this course fits into prerequisites for the Biology major. The goal of Math 4 is to enable students to read critically and think about the research literature in medical and biological modeling with differential equations.

Math 27 is for students with more mathematical background. Math 22 or the equivalent is a required prerequisite for Math 27. The goal of Math 27 is to enable students to conduct their own independent research projects in mathematical biology after completing the course, if they so desire.

Both courses meet in the same room at the same time. The difference is that in Math 4 we will prepare to read the research literature, finally doing so around week 5 or 6. In Math 27 we will be reading the research literature from the start of the course.

Grading: In both courses the grades will be based on 3 papers, however the topics will be different. All three papers are weighted equally.

This quarter we meet T-Th 10-11:50 and Wed 3-4:15. We will use the Wednesday time slot to participate in a research seminar in mathematical biology (timed this way just for you). Students from Math 23 (Differential equations) may also attend and participate in the seminar.

Text: Math 4 is using the latest version of Lake Victoria: a mathematical ecohistory by Wallace et al. You will be able to purchase a copy the first week of class from the math department main office. Math 27 is using Mathematical Biology by Murray.

Honor principle: All authors must contribute substantially to any paper with their names on it. All sources must be appropriately cited. Any suspicion of plagiarism will be forwarded to the COS.

**Religious observance**: Some students may wish to take part
in religious observances that occur during this academic term. If you
have a religious observance that conflicts with your participation in
the course, please meet with me before the end of the second week of
the term to discuss appropriate accommodations.