Weeks | Topics |
1 |
Basic Concepts: Definition of a differential equation, classifications, solution of a differential equation
|
2 |
First order differential equations: Seperable Equations, Homogeneous Equations, Linear Equations
|
3 |
First order differential equations: Bernoulli Equation, Exact differential equations, Integrating factor, Ricatti Equation
|
4 |
Applications of First-Order Differential Equations: Orthogonal trajectories, Growth and Decay, Cooling, Applications of nonlinear equations
|
5 |
First Order and Higher Degree Differential Equations
|
6 |
Some Higher-Order Non-Linear Differential Equations
|
7 |
Linear Differential Equations of Higher-Order
|
8 |
Solutions of Linear Equations, Homogeneous Linear Equations
|
9 |
The Method of Undetermined Coefficients, The Variation of Parameters Method
|
10 |
Cauchy-Euler Differential Equation
|
11 |
Applications of Second-Order Differential Equations
|
12 |
Systems of Differential Equations: Examples of Systems, Operator Method, First Order Systems, First Order Linear Systems, Matrix Formulation
|
13 |
Systems of Differential Equations: Basic Theory of Systems of First Order Linear Equations, Eigenvalue-Eigenvector Method for Solving First Order Linear Systems with Constant Coefficients
|
14 |
Power Series: Series Solutions about Ordinary Points
|