GITAM University Engineering Mathematics II Syllabus
B.Tech. (CE)II SEMESTER
ENGINEERING MATHEMATICS – II
Code: EURMT202 Category: MT
Credits: 3 Hours: 3 per week
The objective of the course is to impart knowledge in Basic concepts of Mathematics relevant to Engineering applications.
Unit – I (10 hours)
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)
Rank of Matrix, Elementary transformations, Elementary matrices, Inverse, Normal form, Consistency of linear system of equations,
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.
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.