Get access to 100s of MCQs, Question banks, notes and videos as per your syllabus.

Try Now for free

Try Now for free

Unit - 1 Ordinary Differential Equation of Higher Order

1.1 Linear differential equation of nth order with constant coefficients1.2 Simultaneous linear differential equations

1.3 Second order linear differential equations with variable coefficients

1.4 Solution by changing independent variable

1.5 Reduction of order Normal form

1.6 Method of variation of parameters

1.7 CauchyEuler equation

1.8 Series solutions Frobenius Method

Unit - 2 Multivariable Calculus-II

2.1 Improper integrals 2.2 Beta Gama function and their properties

2.3 Dirichlet’s integral and its applications

2.4 Application of definite integrals to evaluate surface areas and volume of revolutions

Unit - 3 Sequences and Series

3.1 Definition of Sequence and series with examples3.2 Convergence of sequence and series

3.3 Tests for convergence of series

3.4 Ratio test D’ Alembert’s test Raabe’s test

3.5 Fourier series Half range Fourier sine and cosine series

Unit - 4 Complex Variable – Differentiation

4.1 Functions of complex variable Limit Continuity and differentiability 4.2 Analytic functions

4.3 Cauchy Riemann equations Cartesian and Polar form

4.4 Harmonic function

4.5 Method to find Analytic functions

4.6 Conformal mapping

4.7 Mobius transformation and their properties

Unit - 5 Complex Variable –Integration

5.1 Complex integrals Contour integrals5.2 Cauchy Goursat theorem

5.3 Cauchy integral formula

5.4 Taylor’s series Laurent’s series Liouvilles’s theorem

5.5 Singularities Classification of Singularities zeros of analytic functions

5.6 Residues Methods of finding residues Cauchy Residue theorem

5.7 Evaluation of real integrals of the type and

Download CSE Sem 2 syllabus pdf

Get access to 100s of MCQs, Question banks, notes and videos as per your syllabus.

Try Now for free

Try Now for free

Other Subjects of Semester-2

Share

Link Copied

More than 1 Million students use Goseeko! Join them to feel the power of smart learning.

Spot anything incorrect? Contact us