You are viewing all question papers of engineering mathematics-2 (B-TECH 1st-2nd)

Recommended Books for reference

Name : Advanced Engineering Mathematics

By : Kreyszig,E

Name : Higher Engineering Mathematics

By : B.S. Grewal

Name : Advanced Engineering Mathematics

By : HK Dass

Syllabus

PART A

1. Ordinary Differential Equations of first order

Exact Differential equations, Equations reducible to exact form by integrating factors; Equations of the first order and higher degree. Clairaut's equation. Leibniz's linear and Bernoulli's equation.

2. Linear Ordinary Differential Equations of second & higher order

The solution of Linear Ordinary Differential Equations of second and higher order; methods of finding complementary functions and particular integrals. Special methods for finding particular integrals: Method of variation of parameters, Operator method. Cauchy's homogeneous and Legendre's linear equation, Simultaneous linear equations with constant coefficients.

3. Applications of Ordinary Differential Equations

Applications to electric R-L-C circuits, Deflection of beams, Simple harmonic motion, Simple population model 

PART B

4. Linear Algebra

Rank of a matrix, Elementary transformations, Linear independence and dependence of vectors, Gauss-Jordan method to find inverse of a matrix, reduction to normal form, Consistency and solution of linear algebraic equations, Linear transformations, Orthogonal transformations, Eigen values, Eigen vectors, Cayley-Hamilton Theorem, Reduction to diagonal form, orthogonal, unitary, Hermitian and similar matrices. 

5. Infinite Series

Convergence and divergence of series, Tests of convergence (without proofs): Comparison test, Integral test, Ratio test, Rabee's test, Logarithmic test, Cauchy's root test and Gauss test. Convergence and absolute convergence of alternating series 

6. Complex Numbers and elementary functions of complex variable

De-Moivre's theorem and its applications. Real and Imaginary parts of exponential, logarithmic, circular, inverse circular, hyperbolic, inverse hyperbolic functions of complex variables. Summation of trigonometric series. (C+iS method)

Mark Favorite
2018
ViewDownload
ViewDownload
2017
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2016
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2015
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2014
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2013
ViewDownload
ViewDownload
2012
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2011
ViewDownload
ViewDownload
ViewDownload
2010
ViewDownload
ViewDownload
ViewDownload
2009
ViewDownload
ViewDownload
2008
ViewDownload
ViewDownload
2007
ViewDownload