75376 - Calculus

Academic Year 2024/2025

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

Real-valued functions of a real variable. Limits and continuity. Derivative and related applications. Relative and absolute maxima and minima. Quantitative study of the graph of a function. Integrals. Differential equations (first order). Elements of multivariable calculus.

Readings/Bibliography

C. Bisi, R. Fioresi, Mathematical Methods for Life Sciences, CRC press, 2024. (main book).

J. Stewart, D. K. Clegg, S. Watson, Calculus, Cengage Learning; 9th edition.

To the students who can speak italian, we suggest also the following:

F. Bellisardi, C.Bisi, R. Fioresi, Esercizi risolti di metodi matematici, CEA, 2024.

Teaching methods

Lectures

Assessment methods

The exam will consist in both a written exam and an oral exam. Students will be admitted to the oral exam only after having passed the written exam.

More details will be given at the beginning of the course.

Teaching tools

Text notes and exercises published on virtuale.unibo.it

Office hours

See the website of Ferdinando Zanchetta

See the website of Mattia Vincenzo Edoardo Massone