Πανεπιστήμιο Θεσσαλίας
Τμήμα Μηχανικών Η/Υ, Τηλεπικοινωνιών & Δικτύων

Διαφορικές Εξισώσεις




Διδάσκων

Αλκιβιάδης Γ. Ακρίτας, Αναπληρωτής Καθηγητής.
email: akritas@uth.gr

 

Σημειώσεις μαθήματος

Week 1:
Student's goals for this week:
To learn about the (unforced and forced) exponential differential equation and how it relates to personal finances.
Week 2:
Student's goals for this week:
To learn about the oscillator differential equation.
Week 3:
Student's goals for this week:
To learn about Laplace and Fourier Transforms and their application in solving differential equations.
Week 4:
Student's goals for this week:
To learn about modern issues of differential equations and, most importantly, about the dangers of drinking and driving.
Week 5:
Student's goals for this week:
To learn about phase lines, bifurcation points, and the separation of variables technique (with danger zones) in dealing with first order differential equations.
Week 6:
Student's goals for this week:
To learn to use flow charts of vector fields to study the behavior of the solutions of the corresponding systems of linear differential equations.
Week 7:
Student's goals for this week:
To learn to use eigenvectors and eigenvalues to study the behavior of the solutions of the corresponding systems of linear differential equations.
Week 8:
Student's goals for this week:
To learn to linearize a nonlinear system of differential equations at equilibrium points, and about Lyapunov's rules.
Week 9:
Student's goals for this week:
To learn about the heat and wave equations and how they relate to the Fourier Transform.