The final exam will take place on January 10th 2025, Friday, at 10.30, and will cover all of the materials that we have discussed. It will not cover the non-homogeneous systems and repeated eigenvalues.
There will be an extra problem session on January 02nd 2025, Thursday, at 15.30 - 17.20 in Electrical Engineering Building Z04 (the usual PS time in the usual PS class).
The midterm exam will take place on November 15th 2024, Friday, at 18.00, and will cover the following material:
Introduction, Basic Definitions
Separable Equations and Equations Reducible to This Form
Linear Equations
Bernoulli and Riccati Equations
Exact Differential Equations and Integrating Factors
Special Integrating Factors
Problems in Mechanics and Physics
Rate Problems
The Formulation of Initial Value Problem (Cauchy problem)
The Fundamental Existence and Uniqueness Theorem
Closed Equations With Respect to First Order Derivative
Parameter Inclusion Method
Clairaut and Lagrange Equations
Basic Theory of Higher Order Linear Differential Equations
The System of Fundamental Solutions, Wronskian and Abel’s Theorem
The Homogeneous Linear Equations with Constant Coefficients