Complex Numbers Cartesian, Polar & Exponential form, De-Moiver's theorem, Vector Algebra and Vector Differentiation Product of three or more vector, Gradient, divergence & applications, Integral Calculus Double Integral., Triple Integral Differentiation under integral sign Error functions, Beta and Gamma functions, Properties and duplication formula. Fourier Series Orthogonal functions.
Fourier series of even and odd functions. Laplace Transform of all standard functions, Periodic function, inverse laplace transform, application of laplace transform, Complex Variables Cauchy Riemann Equations, Mapping Conformal Mapping & bilinear mapping, Concept of line integral, Riemann integral, Singularities Poles, Evaluation of residues, Residue theorem
Reference
P. N. Wartikar & J. N. Wartikar, Elements of Applied Mathematics , 7
, Pune Vidyarthi Graha,1988.
B. S. Grewal, Higher Engineering Mathematics
Shanti Narayan, Differential Calculus , Shamalal Charitable Trust, 1997.
Murray Spiegal, Vector Analysis , McGraw Hill, 1974
Schaum Series, Vector Analysis, Spigel
Advanced Engineering Mathematics with matlab, Thomas L Harman, James DabNorman Richert Brooks/cole, Thompson Learning
Term Work
Should contain at least 10 assignments covering the syllabus
Tutorial
Tutorial should contain 5 assignments
Practical None
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