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Linear Models. Nonlinear Models

Course Material

Week 1: Introduction to Differential Equations
Week 2: Differential Equations as Mathematical Models
Week 3: First-Order Differential Equations
Week 4: Exact Equations and Integrating Factors
Week 5: Numerical Methods
Week 6: Modelling With First-Order Differential Equations
Week 7: Modelling with Systems of First-Order Differential Equations
Week 8: Mid term examination
Week 9: Higher-Order Differential Equations
Week 10: Undetermined Coefficients- Superposition Approach. Undetermined Coefficients- Annihilator Approach.
Week 11: Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination
Week 12: Nonlinear Differential Equations
Week 13: Modeling with Higher-Order Differential Equations
Week 14: Linear Models: Boundary-Value Problems
Week 15: Series Solutions of Linear Equations:
Week 16: Systems of Linear First-Order Differential Equations
Week 17: Numerical Solutions of Ordinary Differential Equations
Week 18: final term examination

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