# GITAM University Engineering Mathematics II Syllabus

B.Tech. (CE)II SEMESTER
ENGINEERING MATHEMATICS – II
Code: EURMT202 Category: MT
Credits: 3 Hours: 3 per week
Department: BSH
The objective of the course is to impart knowledge in Basic concepts of Mathematics relevant to Engineering applications.
Unit – I (10 hours)
PARTIAL DIFFERENTIATION:
Introduction to Partial differentiation, Total derivative, Differentiation of implicit functions, Geometrical interpretation, Tangent
plane and normal to a surface, Change of variables, Jacobians, Taylor’s theorem for functions of two variables.
Unit –II 08 hours)
APPLICATIONS OF PARTIAL DIFFERENTIATION :
Total differential, Maxima and Minima of functions of two variables, Lagrange’s method of undetermined multipliers, Differentiation
under the integral sign, Leibnitz’s Rule.
Unit-III (10 hours)
PARTIAL DIFFERENTIAL EQUATIONS :
Introduction, Formation of partial differential equations, Solutions of partial differential equations, Equations solvable by direct
integration, Linear equations of the first order, Non-linear equations of the first order, Homogeneous linear equations with constant
coefficients, Rules for finding the complementary function, Rules for finding the particular integral.
Unit-IV (08 hours)
LINEAR ALGEBRA-1:
Rank of Matrix, Elementary transformations, Elementary matrices, Inverse, Normal form, Consistency of linear system of equations,
Linear transformations.
Unit-V (10 hours)
LINEAR ALGEBRA – 2:
Eigen values and Eigen vectors of a matrix, Cayley-Hamilton theorem, Reduction to diagonal form, Quadratic forms and canonical
forms, Hermitian and Skew- Hermitian matrix, Unitary matrix.
Text Books Prescribed :
Higher Engineering Mathematics, Dr.B.S Grewal. Khanna Publishers.
References :
Advanced Engineering Mathematics, Erwin Kreyszig. Wiley Eastern Pvt. Ltd.
Textbook of Engineering Mathematics, N.P.Bali. Laxmi Publications (P) Ltd.
Higher Engineering Mathematics, Dr.M.K.Venkata Raman. National Pub. Co.
Note: The figures in parentheses indicate approximate number of expected hours of Instruction.