| WEEK | TOPICS |
|---|
| 1st Week | Differential Equations and their solutions. |
| 2nd Week | Exact Differential equations and Integrating factors. |
| 3rd Week | Seperable Equations and Equations Reducible to this form. |
| 4th Week | Linear Equations and Bernoulli equations. |
| 5th Week | Applications of first order equations. |
| 6th Week | Explicit Methods of solving higher order Linear Dıfferential Equations. |
| 7th Week | The Homogen eous Linear Equation with constant coefficients .The method of undtermined coefficients. |
| 8th Week | MIDTERM |
| 9th Week | Variaton of Parameters,The Cauchy Euler Equation. |
| 10th Week | Applications of second-order Linear Differential equations with constant coefficients. |
| 11th Week | Series solutions of Linear Differential Equations.Powert Series solutions about Ordinary Point. |
| 12th Week | Solutions about Singular Points;the method of Frobenius.Bessel's Equation and Bessel Functions. |
| 13th Week | Systems of Linear Differential Equations.Basic theory of Linear Systems. |
| 14th Week | Homogeneous Linear Systems with Constant Coefficients.An Operator Method. |
