75376 - Calculus

Learning outcomes

By the end of the course, the successful student has the ability to apply the methods of differential and integral calculus, to plot the graph of functions, and to find and classify critical points of functions of two variables.

Course contents

The course aims to introduce the student to basic mathematical methods in genetics and genomics.

The initial part of the course will be dedicated to verifying and recalling the elementary knowledge of differential and integral calculus developed during high school studies.
Subsequently, based on concrete examples of life sciences, we will address three macro topics:
1. We will introduce the most elementary results of discrete mathematics and the rudiments of combinatorial combinatorial to address both concrete problems associated with gene sequences and to understand and analyze the computational complexity of algorithms used in genetics.
2. We will introduce, through concrete examples of Life Sciences, the fundamental concepts of the theory of probability of random variables, especially discrete, preparatory to Statistics.
3. We will study, through the use of differential and integral calculus, the fundamental models of population dynamics.

Readings/Bibliography

Notes, slides and other educational material will be distributed during the course.

Some texts recommended for some specific parts of the course:

- Calculus, Early Transcendentals, [https://www.cengage.co.uk/books/9781305272378/] International Metric Edition, 8th Edition, James Stewart [https://www.cengage.co.uk/author/james-stewart], 2016, Cengage Learning, ISBN: 9781305272378 [tel:9781305272378]

 

- (in italiano) Matematica per le scienze della vita (+AR), D. Benedetto, M. Degli Esposti, C. Maffei. Casa Editrice Ambrosiana (C.E.A.), 2015

link: http://www.ceaedizioni.it/ita/scheda_libro.asp?idlibro=958

 

 

Teaching methods

Classroom lessons, even with the help of the app. "Acadly" aimed at stimulating interaction with students and to experience some inverted class experiences.

(the first lesson will be dedicated to introducing the course program and teaching methods)

Assessment methods

Written Exam

Teaching tools

Blackboard, slides and app. "Acadly" (see teaching methods)

Links to further information

https://www.unibo.it/sitoweb/mirko.degliesposti/didattica

Office hours

See the website of Mirko Degli Esposti