Bikaner Technical University, Rajasthan, Computer Engineering Semester 2, Engineering Mathematics - II Syllabus

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Unit - 1 Matrices

UNIT1

Matrices

1.1 Rank of a matrix

1.2 Ranknullity theorem

1.3 System of linear equations

1.4 Symmetric skewsymmetric and orthogonal matrices

1.5 Eigen values and eigenvectors

1.6 Diagonalization of matrices

1.7 Cayley Hamilton Theorem

1.8 Orthogonal transformation

Unit - 2 First order ordinary differential equations

UNIT2

First order ordinary differential equations

2.1 Linear and Bernoulli’s equations

2.2 Exact equations

2.3 Equations not of first degree equations solvable for p equations solvable for y equations solvable for x and Clairaut’s type

Unit - 3 Ordinary differential equations of higher orders

UNIT3

Ordinary differential equations higher order

3.1 Linear Differential Equations of Higher order with constant Coefficients

3.2 Simultaneous Linear Differential Equations

3.3 Second order linear differential equations with variable coefficients Homogenous and Exact forms

3.4 One part of CF is known Change of dependent and independent variables

3.5 Method of variation of parameters

3.6 CauchyEuler equation

3.7 Power series solutions including Legendre differential equation and Bessel differential equations

Unit - 4 Partial Differential Equations – First order

UNIT4

Partial differential equation First order

4.1 Order and Degree

4.2 Formation Linear Partial differential equations of First order

4.3 Lagrange’s Form

4.4 Non Linear Partial Differential equations of first order

4.5 Charpit’s method Standard forms

Unit - 5 Partial Differential Equations– Higher order

UNIT5

Partial differential equation Higher order

5.1 Classification of Second order partial differential equations

5.2 Separation of variables method to simple problems in Cartesian coordinates including two dimensional Laplace one dimensional Heat and one dimensional Wave equations

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Other Subjects of Semester-2
Human values
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Basic electrical engineering
Programming for problem solving
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