Subjects
Applied Mathematics for Electrical Engineering - 3130908
Complex Variables and Partial Differential Equations - 3130005
Engineering Graphics and Design - 3110013
Basic Electronics - 3110016
Mathematics-II - 3110015
Basic Civil Engineering - 3110004
Physics Group - II - 3110018
Basic Electrical Engineering - 3110005
Basic Mechanical Engineering - 3110006
Programming for Problem Solving - 3110003
Physics Group - I - 3110011
Mathematics-I - 3110014
English - 3110002
Environmental Science - 3110007
Software Engineering - 2160701
Data Structure - 2130702
Database Management Systems - 2130703
Operating System - 2140702
Advanced Java - 2160707
Compiler Design - 2170701
Data Mining And Business Intelligence - 2170715
Information And Network Security - 2170709
Mobile Computing And Wireless Communication - 2170710
Theory Of Computation - 2160704
Semester
Semester - 1
Semester - 2
Semester - 3
Semester - 4
Semester - 5
Semester - 6
Semester - 7
Semester - 8
Complex Variables and Partial Differential Equations (3130005)
Complex Variables and Partial Differential Equations (3130005)
Syllabus of
Complex Variables and Partial Differential Equations (3130005)
1
Complex variable functions
15 Questions
Polar Form of Complex Numbers
Powers and Roots
(3 Question)
Differentiation
Cauchy-Riemann equations
Analytic functions
(2 Question)
Harmonic functions
(1 Question)
Finding harmonic conjugate
(1 Question)
Elementary analytic functions (Exponential, Trigonometric, Logarithm) and their properties
(2 Question)
Conformal mappings
(3 Question)
Mobius transformations and their properties
(2 Question)
2
Complex Variable - Integration
9 Questions
Contour integrals
Cauchy-Goursat theorem
(3 Question)
Cauchy Integral formula
(2 Question)
Liouville’s theorem
Maximum-Modulus theorem
Sequences
Series
Convergence Tests
Power Series
(1 Question)
Functions Given by Power Series
Taylor Series
Maclaurin Series
Uniform Convergence
3
Laurent’s series
7 Questions
Laurent’s series
(2 Question)
Zeros of analytic functions
Singularities
(1 Question)
Residues
(1 Question)
Cauchy Residue theorem
(2 Question)
Residue Integration Method
Residue Integration of Real Integrals
(1 Question)
4
First order partial differential equations
9 Questions
First order partial differential equations
Solutions of first order linear PDEs
(1 Question)
Solutions of first order nonlinear PDEs
(5 Question)
Charpit’s Method
(1 Question)
5
HIgher order partial differential equations and applications
15 Questions
Solution to homogeneous linear partial differential equations
Solution to nonhomogeneous linear partial differential equations
(1 Question)
second and higher order by complementary function and particular integral method
(4 Question)
Separation of variables method to simple problems in Cartesian coordinates
(4 Question)
Second order linear equations and their classification,
Initial and boundary conditions
Modeling and solution of the Heat equations
(3 Question)
Modeling and solution of the Wave equations
(3 Question)
Modeling and solution of the Laplace equations
