Biomathematics

Objectives of the course (preferably expressed in terms of learning outcomes and competences): This course provides an introduction to a variety of mathematical topics of use in analyzing problems arising in the biological sciences.

Course contents: Limits of functions and continuity. Calculus of exponential, logarithmic, trigonometric and allometric functions and applications. Derivatives and applications. Antiderivatives and integrals, integration techniques and applications of integration. Difference and differential equations. Introduction to mathematical modeling. Discrete and continuous in time dynamical systems - linear and nonlinear examples, equilibrium, and stability. Introduction to discrete probability- sample space, counting techniques, conditional probability, independence, Bayes theorem, Markov chains. Discrete and continuous random variables and distributions.