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Course
Pro-forma
Faculty Course
Code
KXEX3244
Title
Partial Differential Equation
Pre-requisite
KXEX2244
Student Learning Time (SLT)
80 hours
Credit
2
Learning Outcomes
None
Synopsis
Laplace Transform: Standard form, inverse transform, Lapalce
transform for derivatives and integral of a function, solution to
initial value ode problem, First and Second Shifting Theorem,
Derivatives and integral of transform of a function, convolution.
Fourier Series: periodic function with period 2 Pi and 2L, Dirichlet
condition, even and odd functions, non periodic function, full
range and half range expansions, complex form.
Special Functions: Gamma, Beta and Bessel functions, and
Legendre polynomials. Partial Differential Equation: Separation of
Variables method. Heat Equation, Wave Equation and Laplace
Equation.
Assessment
40 % Continuous Assessments
60 % Final Examination
References
1.
Advanced Engineering Mathematics (9th Edition) Erwin
Kreyszig, John Wiley Chapter 6, 11 and 12
2.
Elementary Differential Equations and Boundary Value
Problems ( 6th Edition) William E. Boyce & Richard C.
DiPrima, John Wiley ans Sons.
3.
S. J. Farlow Partial Differential Equations for Scientists and
Engineers, Wiley
4.
Tyn Myint-U Partial Differential Equations of Mathematical
Physics, Elsevier
Soft Skills
Communication Skills (CS1, CS2, CS3)
Critical Thinking and Problem Solving Skills (CT1, CT2, CT3, CT4,
CT5)
Life Long Learning and Information Management (LL1, LL2, LL3)