By Mr.Mohamed Nishad Maniparamabth |
Farook College(Autonomous)

Learners enrolled: 1522

Day 1 : Introduction to Differential Equations.

Day 2 : Solutions of Differential Equations.

Day 3 : Solving Differential Equations by Variable Separable Method

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 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 1 : Differential Equation : Integrating Factors

Day 2 : Linear First Order Differential Equations – Part 1

Day 3 : Linear First Order Differential Equations – Part 2

Day 1 : Linear First Order Differential Equations – Part 3

Day 2 : Solving Linear Differential Equations By Method Of Variation Of Paremeters.

Day 3 : Bernoulli’s Differential Equation – Part 1

Day 1 : Bernoulli’s Differential Equation – Part 2

Day 2 : Second Order Differential Equations.

Day 3 : Fundamental theorem.

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 1 : Second Order Differential Equations with Constant Coefficients – Part II.

Day 2 : Second Order Differential Equations with Constant Coefficients – Part III.

Day 3 : Differential Operator

Day 1 : Euler - Cauchy Equation – Part I

Day 2 : Euler - Cauchy Equation – Part II

Day 3 : Euler - Cauchy Equation – Part III

Day 1 : Existence and Uniqueness Theory: Wronskian.

Day 2 : Non Homogeneous Equations – Part I

Day 3 : Method of Undetermined Coefficients– Part I

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 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 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 1 : Applications of Differential Equations – Part I

Day 2 : Interaction based on the entire Modules covered.

Day 3 : Revision

Day 4 : Revision

Day 5 : Term end assessment

- Belinda Barnes and Glenn R. Fulford, Mathematical Modeling with Case Studies, A Differential Equation Approach using Maple and Matlab, 2nd Ed., Taylor and Francis group, London and New York, 2009
- C.H. Edwards and D.E. Penny, Differential Equations and Boundary Value problems Computing and Modeling, Pearson Education India, 2005
- S.L. Ross, Differential Equations, 3rd Ed., John Wiley and Sons, India, 2004
- Martha L Abell, James P Braselton, Differential Equations with MATHEMATICA, 3rd Ed., Elsevier Academic Press, 2004.
- Elementary Differential Equations and Boundary Value Problems (11/e): William E Boyce, Richard C Diprima And Douglas B Meade John Wiley & Sons, 2017
- Dennis G Zill &Michael R Cullen: Differential Equations with Boundary Value Problems(7/e):Brooks/Cole Cengage Learning, 2009.
- R Kent Nagle, Edward B. Saff & Arthur David Snider: Fundamentals of Differential Equations(8/e) Addison-Wesley, 2012.
- C. Henry Edwards &David E. Penney: Elementary Differential Equations (6/e) Pearson Education, Inc. New Jersey , 2008.
- John Polking, Albert Boggess & David Arnold : Differential Equations with Boundary Value Problems(2/e) Pearson Education, Inc New Jersey, 2006.
- Henry J. Ricardo: A Modern Introduction to Differential Equations(2/e) Elsevier Academic Press, 2009
- James C Robinson: An Introduction to Ordinary Differential Equations Cambridge University Press , 2004.

Mr Mohamed Nishad Maniparambath (Course Coordinator) has 9 years of experience both in UG and PG level. He handled the topics Calculus, Differential Equations, Abstract Algebra, Logic, Numerical Analysis, Vector Calculus, Linear programming, Python and Latex in UG level, Algebra ,ODE, Multivariable Calculus and Geometry, Discrete Mathematics and Computer Oriented Numerical Analysis in PG Level for the last 9 years.

Other Merits

• Delivered lectures for DTH programmes.

• Member, Board of Studies, Farook College.

• Member, NAAC stearing committee, Farook College.

• Secretary, Staff Club, Farook College.

• Former Member, IQAC, Farook College.

• Former Member, Scholarship Committee, Farook College.

• Resource person at various colleges.

30% for in Course Assessment & 70% of end-term Proctored Exam.

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