Week 1
Day 1: Introduction to Differential Equations.
Day 2: Solutions of Differential Equations.
Day 3: Solving Differential Equations by Variable Separable Method.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 2
Day 1: Equations Reducible to Reparable form – Substitution Method -Part 1.
Day 2: Equations Reducible To Separable Form – Substitution Method – Part 2.
Day 3: Reducible To Separable Form - Homogeneous Equation.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 3
Day 1: Equations Reducible To Separable Form Via Reducing To Homogeneous Form.
Day 2: Exact Differential Equation- Part I.
Day 3: Exact Differential Equation- Part II.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 4
Day 1: Differential Equation : Integrating Factors.
Day 2: Linear First Order Differential Equations – Part 1.
Day 3: Linear First Order Differential Equations – Part 2.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 5
Day 1: Linear First Order Differential Equations – Part 3.
Day 2: Solving Linear Differential Equations By Method Of Variation Of Parameters.
Day 3: Bernoulli’s Differential Equation – Part 1.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 6
Day 1: Bernoulli’s Differential Equation – Part 2.
Day 2: Second Order Differential Equations.
Day 3: Fundamental theorem.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 7
Day 1: General Solution and Basis.
Day 2: Initial value Problem and Boundary Value Problem.
Day 3: Second Order Differential Equations with Constant Coefficients – Part I.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 8
Day 1: Second Order Differential Equations with Constant Coefficients – Part II.
Day 2: Second Order Differential Equations with Constant Coefficients – Part III.
Day 3: Differential Operators.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 9
Day 1: Euler - Cauchy Equation – Part I.
Day 2: Euler - Cauchy Equation – Part II.
Day 3: Euler - Cauchy Equation – Part III.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 10
Day 1: Existence and Uniqueness Theory: Wronskian.
Day 2: Non Homogeneous Equations – Part I.
Day 3: Method of Undetermined Coefficients– Part I.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 11
Day 1: Method of Undetermined Coefficients– Part II.
Day 2: Method of Undetermined Coefficients– Part III.
Day 3: Method of Undetermined Coefficients– Part IV.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 12
Day 1: Method of Undetermined Coefficients– Part V.
Day 2: Method of Undetermined Coefficients– Part VI.
Day 3: Method of Variation of Parameters– Part I.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 13
Day 1: Method of Variation of Parameters– Part II.
Day 2: Method of Variation of Parameters: Euler – Cauchy Equation.
Day 3: Applications of Differential Equations – Part I.
Day 4: Interaction based on the three Modules covered.
Day 5: Deadline for submitting assignments.
Week 14
Day 1: Applications of Differential Equations – Part II.
Day 2: Interaction based on the entire Modules covered.
Day 3: Revision.
Day 4: Term end assessment.
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