Complex Variables and Partial Differential Equations (3130005)  

5
Credit
3 + 2 + 0
Lect + Tuto + Pract
Teaching Scheme
70 + 30 + 0
ESE + PA + ALA
Theory Marks
0 + 0 + 0
ESE + OEP + PA
Practical Marks
ESE - End Semester Examination, PA - Progress Assessment, ALA - Active Learning Assignments, OEP -Open Ended Problem


Prerequisite
Geometry, trigonometry, calculus and ODE.
Rationale
This subject is a powerful tool for solving a wide array of applied problems.
Course Outcome
 Sr. No.  CO statement  Marks % weightage
 CO-1 convert complex number in a polar form, plot the roots of a complex number in complex plane, find harmonic conjugate of analytic functions and apply conformal mapping in geometrical transformation 28%
 CO-2 evaluate complex integration by using various result, test convergence of complex sequence and series and expand some analytic function in Taylor’s series  20%
 CO-3 find Laurent’s series and pole of order, and apply Cauchy Residue theorem in evaluating some real integrals 14%
 CO-4 form and solve first order linear and nonlinear partial differential equations 14%
 CO-5 apply the various methods to solve higher order partial differential equations, modeling and solve some engineering problems related to Heat flows, Wave equation and Laplace equation 24%

Active Learning
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