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• Week 01: Introduction of differential equation (DE), Separable equations
• Week 02: Homogeneous and non-homogeneous equations.
• Week 03: Exact equations, linear equations and solution by substitution.
• Week 04: Modeling with the first order differential equations.
• Week 05: Families of curves, orthogonal trajectories.
• Week 06: Population dynamics.
• Week 07: Applications of linear and nonlinear equations.
• Week 08: Introduction to second order differential equations and preliminary theory.
• Week 09: Mid Term Exam
• Week 10: Initial and boundary value problems.
• Week 11: Homogeneous and non-homogeneous equations.
• Week 12: Method of undetermined coefficients and variation of parameters.
• Week 13: Power series solution.
• Week 14: Applications of second order differential equations.
• Week 15: Basic concept of partial differential equations.
• Week 16: Vibrating string and wave equation.
• Week 17: Separation of variables and heat equation solution by separation of variables.
• Week 18: Final Term