Mahatma Gandhi University was established on 2 October 1983 in Kottayam district of Kerala, India.

Mahatma Gandhi University, has been approved by UGC and accredited by the National Assessment and Accreditation Council of India


B.tech syllabus for Civil Branch
EN010301A ENGINEERING MATHEMATICS II
(Common to all branches except CS & IT)
Teaching scheme Credits: 4

2 hours lecture and 2 hour tutorial per week

Objectives

• To apply standard methods and basic numerical techniques for solving
problems and to

know the importance of learning theories in Mathematics.

MODULE 1 Vector differential calculus ( 12 hours)

Scalar and vector fields – gradient-physical meaning- directional derivative-
divergence an

curl - physical meaning-scalar potential conservative field- identities - simple
problems

MODULE 2 Vector integral calculus ( 12 hours)

Line integral - work done by a force along a path-surface and volume
integral-application

of Greens theorem, Stokes theorem and Gauss divergence theorem

MODULE 3 Finite differences ( 12 hours)

Finite difference operators and - interpolation using Newtons forward and

backward formula – problems using Stirlings formula, Lagrange’s formula
and Newton’s divided

difference formula

MODULE 4 Difference Calculus ( 12 hours)

Numerical differentiation using Newtons forward and backward formula –
Numerical

integration – Newton’s – cotes formula – Trapezoidal rule – Simpsons 1/3rd
and 3/8th rule – Difference

equations – solution of difference equation

MODULE 5 Z transforms ( 12 hours)

Definition of Z transforms – transform of polynomial function and
trignometric

functions – shifting property , convolution property - inverse transformation
– solution of 1st and 2nd

order difference equations with constant coifficients using Z transforms.

Reference

1. Erwin Kreyszing – Advance Engg. Mathematics – Wiley Eastern Ltd.

2. B.S. Grewal – Higher Engg. Mathematics - Khanna Publishers

3. B.V. Ramana - Higher Engg. Mathematics – McGraw Hill

4. K Venkataraman- Numerical methods in science and Engg -National
publishing co

5. S.S Sastry - Introductory methods of Numerical Analysis -PHI

6. T.Veerarajan and T.Ramachandran- Numerical Methods- McGraw Hill

7. Babu Ram – Engg. Mathematics -Pearson.

8. H.C.Taneja Advanced Engg. Mathematics Vol I – I.K.International

Attached Files

B.tech syllabus for Civil Branch.pdf (661.8 KB, 53 views)