Textbook

 

The official textbook for this course is Calculus for Biology and Medicine (4th edition), by C. Neuhauser and M. Roper. The book is published by Prentice Hall. It is very readable and has many worked out examples. The book can be purchased from the UK Bookstore or online.
Roughly speaking, we should cover chapters 6 through 11 of this book. We will learn about methods for evaluating integrals, differential equations and the first elements of calculus in several dimensions. Differential equations serve to model quantities which change over time such as biological populations. The computational techniques for integrals are needed to be able to find exact solutions to these equations. Calculus in several dimensions is useful for understanding quantities which vary with respect to position and time. Examples that will illustrate these mathematical techniques include systems of differential equations which model two species interacting in nature.

If you are interested in learning more and furthering your grasp of Calculus and Mathematical Biology, the following are some additional noteworthy resources:

  1. Introduction to Mathematics for Life Scientists by E. Batschelet.
    This book is a more serious/demanding textbook and an excellent resource, despite the fact it was written in 1972. The choice of topics, sequence of presentation, level of detail, use of examples, and clarity and elegance of exposition are all outstanding.
  2. Mathematical Biology: I. An Introduction (Part 1) by James D. Murray.
    The Bulletin of Mathematical Biology SIAM, 2004, says: "Murray's Mathematical Biology is a classic that belongs on the shelf of any serious student or researcher in the field. Together the two volumes contain well over 1000 references, a rich source of material, together with an excellent index to help readers quickly find key words. [...] I recommend the new and expanded third edition to any serious young student interested in mathematical biology who already has a solid basis in applied mathematics."
  3. Mathematical Models in Biology by L. Edelstein-Keshet.
  4. Modeling Differential Equations in Biology by C. H. Taubes.
  5. Population Ecology by J. H. Vandermeer and D. E. Goldberg.