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Basic Details:

  • Course Code: EM 211
  • Credits: 2
  • Pre-requisites: None
  • Compulsory/Optional: Compulsory

Aim :

To introduce analytical solving techniques of linear ordinary differential equations.

Intended Learning Outcomes:

On successful completion of the course, the students should be able to;

  • Identify and derive the mathematical models of many physical problems as differential equations.
  • Solve first order separable, linear and exact differential equations and reducible forms.
  • Solve higher order linear ordinary differential equations analytically using D-operators, method of undetermined coefficients and Laplace transformations and analyze the solution of such second order equations.
  • Apply matrix methods and Laplace transform in solving systems of linear systems of ordinary differential equations.

Couse Content:

Differential Equations as a mathematical model and classification.

Separable, linear, exact, reducible forms.

D-operators, undetermined coefficients, bracket method, solution behaviors.

Eigenvalue and eigenvector method, decoupling, matrix exponential method.

Laplace transform of functions and derivatives, solving ordinary differential equations and linear systems, convolution.

Time Allocation (Hours):

Lectures
0
Assignments
0
Tutorials
0

Recommended Texts:

  • R.K. Nagle, E.W. Saff, A.D. Snider, “Fundamentals of Differential Equations”, 8th edition, (2012), Pearson Education.
  • E. Kreyszig, “Advanced Engineering Mathematics”, 9th edition, (2006), John Wiley &sons Inc.
  • Philip Franklin, “Differential Equations for Engineers”, 5th edition, (1980), Dover Publications.

Assessment:

In - course:

Tutorials/Assignments/Quizzes
10%
Mid Semester Examination
30%

End-semester:

60%