GITAM Dual Degree

Can you provide me the syllabus of Integrated Dual Degree Program B.Tech (ECE) + M.Tech Programme offered by Gandhi Institute of Technology and Management or GITAM University?

[shikha]

The syllabus of Integrated Dual Degree Program B.Tech (ECE) + M.Tech Programme offered by Gandhi Institute of Technology and Management or GITAM University is as follows:

Engineering Mathematics

Code: EIRMT102/EURMT 102 Category: MT

UNIT-I: First order Differential Equations
Formation – Variables seperable – Homogeneous, non Homogeneous, Linear and Bernoulli equations.
Exact equations - Applications of first order differential equations – Orthogonal Trajectories, Newton’s law of cooling, law of natural growth and decay.

UNIT-II: Higher order Differential Equations
Complete solutions - Rules for finding complementary function - Inverse operator - Rules for finding particular integral - Method of variation of parameters - Cauchy’s and Legendre’s linear equations - Simultaneous linear equations with constant coefficients - Applications of linear differential equations to Oscillatory Electrical circuits L-C, LCR – Circuits - Electromechanical Analogy.

UNIT-III: Mean Value Theorems
Rolle’s, Lagrange’s and Cauchy’s mean value theorems. Taylor’s and Maclaurin’s theorems and applications (without proofs).

UNIT-IV: Infinite Series
Definitions of convergence, divergence and oscillation of a series - General properties of series - Series of positive terms - Comparison tests - Integral test - D’ Alembert’s Ratio test - Raabe’s test - Cauchy’s root test - Alternating series - Leibnitz’s rule - Power series - Convergence of exponential, Logarithmic and binomial series (without proofs).

UNIT-V: Linear Algebra
Rank of a Matrix – Elementary Transformations – Echelon form - Normal form (self study). Consistency of Linear system of equations A X = B and A X = 0. Eigen Values and Eigen Vectors – Properties of eigen values(without proofs) – Cayley – Hamilton theorem (Statement only without proof) – Finding
inverse and powers of a square matrix using Cayley – Hamiton theorem – Reduction to diagonal form – Quadratic form - Reduction of Quadratic form into canonical form – Nature of quadratic forms.