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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
Self StudyVideo and Text Based

Important dates

Course Commencement Date

Start Date : 15 Jan, 2025

End Date : 30 Apr, 2025

Enrollment Date

End Date : 28 Feb, 2025

Certificate Exam Date

Start Date : 24 May, 2025

Courses and Certificate Fees

Certificate AvailabilityCertificate Providing Authority
yesFarook College, Kozhikode

The Syllabus

  • Introduction to Differential Equations.
  • Solutions of Differential Equations.
  • Solving Differential Equations by Variable Separable Method.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Equations Reducible to Reparable form – Substitution Method -Part 1.
  • Equations Reducible To Separable Form – Substitution Method – Part 2.
  • Reducible To Separable Form - Homogeneous Equation.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Equations Reducible To Separable Form Via Reducing To Homogeneous Form.
  • Exact Differential Equation- Part I.
  • Exact Differential Equation- Part II.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Differential Equation : Integrating Factors.
  • Linear First Order Differential Equations – Part 1.
  • Linear First Order Differential Equations – Part 2.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Linear First Order Differential Equations – Part 3.
  • Solving Linear Differential Equations By Method Of Variation Of Parameters.
  • Bernoulli’s Differential Equation – Part 1.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Bernoulli’s Differential Equation – Part 2.
  • Second Order Differential Equations.
  • Fundamental theorem.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • General Solution and Basis.
  • Initial value Problem and Boundary Value Problem.
  • Second Order Differential Equations with Constant Coefficients – Part I.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Second Order Differential Equations with Constant Coefficients – Part II.
  • Second Order Differential Equations with Constant Coefficients – Part III.
  • Differential Operators.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Euler - Cauchy Equation – Part I.
  • Euler - Cauchy Equation – Part II.
  • Euler - Cauchy Equation – Part III.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Existence and Uniqueness Theory: Wronskian.
  • Non Homogeneous Equations – Part I.
  • Method of Undetermined Coefficients– Part I.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Method of Undetermined Coefficients– Part II.
  • Method of Undetermined Coefficients– Part III.
  • Method of Undetermined Coefficients– Part IV.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Method of Undetermined Coefficients– Part V.
  • Method of Undetermined Coefficients– Part VI.
  • Method of Variation of Parameters– Part I.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Method of Variation of Parameters– Part II.
  • Method of Variation of Parameters: Euler – Cauchy Equation.
  • Applications of Differential Equations – Part I.
  • Interaction based on the three Modules covered.
  • Deadline for submitting assignments.

  • Applications of Differential Equations – Part II.
  • Interaction based on the entire Modules covered.
  • Revision.
  • Term end assessment.

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