The official textbook for this course is Calculus for Biology and Medicine (3rd edition), by C. Neuhauser. The book is published by Prentice Hall (IBSN 978-0-321-64468-8). It is very readable and has many worked out examples. The book can be purchased from the UK Bookstore , Kennedy Bookstore, Wildcat Textbooks, 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 further 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 has been 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 Models in Biology by L. Edelstein-Keshet.
   
3. Modeling Differential Equations in Biology by C. H. Taubes.
   
4. Population Ecology by J. H. Vandermeer and D. E. Goldberg.