Differential Equations
The is a course on ordinary differential equations. The course will cover integration techniques of first and second order differential equations, linear differential equations and the Laplace Transform. According to time constraint, elementary Sturm-Liouville theory will be introduced. The text book is "Advanced Engineering Mathematics" of Zill and Wright.
Linear differential equations II
Linear differential equations. Here you can find my notes.
In 10/21 and 10/27 you can find the solutions of the exercises of the Midterm Exam of October 21st and October 27th.
On this week I showed the solutions of the assignments of Week Four (sol.) and Six (sol.).
Equations which can be solved with a substitution:
Please, do exercises 4, 6, 8 and 10 (page 45), 8, 10 and 12 (page 53), 36 (page 60), 4, 6, 16, 18, 26, 28 (page 64), 4 (page 142).
Linear equations. Solutions of differential equations which are obtained by pasting two solutions on adjacent intervals. Exact equations, integrating factors.
Please check Section 2.2, for the linear equations, Section 2.4 for the exact equations and these notes.
These are some homeworks. The due date is 2014, October 14.
Locally Lipschitz functions, two variables Lipschitz functions, two variables functions which are Lipschitz on one component. The Picard-Lindelöf Theorem.
Here you can find the notes of my lectures on Lipschitz functions. These are some homeworks. The due date is 2014, October 7.
The Implicit Function Theorem. Lipschitz functions on one variable.
Separable differential equations. You can check Section 2.1 of the book and these notes.