Course 2026-2027 a.y.

21130 - INTRODUCTION TO DIFFERENTIAL EQUATIONS

Department of Computing Sciences


Course taught in English
Go to class group/s: 1
AI (I sem. - P)
Course Director:
FABRIZIO IOZZI

Classes: 1 (I sem.)
Instructors:
Class 1: TO BE DEFINED


Suggested background knowledge

A one- and several-variable calculus knowledge is suggested.

Mission & Content Summary

MISSION

This preparatory course introduces the basis of differential equations.

CONTENT SUMMARY

Ordinary Differential Equations: Introduction, Terminology, The slope field

Example: The logistic model 
Linear Systems: 2D Linear Systems, Solution of a 2D linear system, Phase Portraits for Planar Systems
Nonlinear Systems: Some examples of nonlinear systems
Stability and Bifurcations
 


Intended Learning Outcomes (ILO)

KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...

Demonstrate basic knowledge of differential equations.

APPLYING KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...

Understand the fundamental concepts of differential equations and solve basic exercises.


Teaching methods

  • Lectures
  • Practical Exercises

DETAILS

Classes are taken online, with a set of prerecorded video lectures.


Assessment methods

  Continuous assessment Partial exams General exam
  • Oral individual exam
    x

ATTENDING AND NOT ATTENDING STUDENTS

The course has no exams.


Teaching materials


ATTENDING AND NOT ATTENDING STUDENTS

Suggested textbooks:

  • Morris W. Hirsch, Stephen Smale, Robert L. Devaney, DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS
  • Steven H. Strogatz NONLINEAR DYNAMICS AND CHAOS With Applications to Physics, Biology, Chemistry, and Engineering, CRC Press Taylor & Francis Group
Last change 15/05/2026 12:26