Vector Calculus and Complex Functions detailed syllabus for Aerospace Engineering (Aerospace Engg) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the Aerospace Engg students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Aerospace Engineering 4th Sem scheme and its subjects, do visit Aerospace Engg 4th Sem 2021 regulation scheme. The detailed syllabus of vector calculus and complex functions is as follows.
Course Objectives:
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Unit I
VECTOR CALCULUS Gradient and directional derivative – Divergence and curl – Vector identities – Irrotational and Solenoidal vector fields – Line integral over a plane curve – Surface integral – Area of a curved surface – Volume integral – Greens, Gauss divergence and Stokes theorems – Verification and application in evaluating line, surface and volume integrals.
Unit II
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Unit III
COMPLEX INTEGRATION Line integral – Cauchys integral theorem – Cauchys integral formula – Taylors and Laurents series – Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real integrals – Use of circular contour and semicircular contour.
Unit IV
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Unit V
ORDINARY DIFFERENTIAL EQUATIONS Higher order linear differential equations with constant coefficients – Method of variation of parameters – Homogenous equation of Eulers and Legendres type – System of simultaneous linear differential equations with constant coefficients – Method of undetermined coefficients.
Course Outcomes:
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Text Books:
- Erwin Kreyszig,” Advanced Engineering Mathematics “, John Wiley and Sons, 10th Edition, New Delhi, 2016.
- Grewal B.S., Higher Engineering Mathematics , Khanna Publishers, New Delhi, 43rdEdition, 2014.
Reference Books:
- Sastry, S.S, “Engineering Mathematics”, Vol. I & II, PHI Learning Pvt. Ltd, 4th Edition, New Delhi, 2014.
- Jain R.K. and Iyengar S.R.K., Advanced Engineering Mathematics , Narosa Publications, New Delhi , 3rd Edition, 2007.
- Bali N., Goyal M. and Watkins C., Advanced Engineering Mathematics , Firewall Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.
- Peter V. ONeil, Advanced Engineering Mathematics, Cengage Learning India Pvt., Ltd, New Delhi, 2007.
- Ray Wylie C and Barrett.L.C, “Advanced Engineering Mathematics” Tata McGraw Hill Education Pvt. Ltd, 6th Edition, New Delhi, 2012.
For detailed syllabus of all other subjects of Aerospace Engineering, 2021 regulation curriculum do visit Aerospace Engg 4th Sem subject syllabuses for 2021 regulation.
For all Aerospace Engineering results, visit Anna University Aerospace Engg all semester results direct link.