Engineering
Mathematics-II__________________________________1. Unit-1
2. Unit-2
3. Unit-3
4. Unit-4
5. Unit-5
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Mathematics-II SyllabusUNIT – I Complex Numbers: De Moivre’s theorem, roots of complex numbers; separtion into real & imaginary parts of circular, hyperbolic, logarithmic & exponential function; summation of trigonometric series by C+iS method. [Pds. 8+2] UNIT – II Differential Equations of higher order: Linear differential equations of higher order with constant coefficients, method of variation of parameters; Cauchy’s & Legendre’s linerar equations; simultaneous linear equations with constant coefficients. [Pds. 10+2] UNIT – III Multiple Integrals: Double & triple integrals, change of order of integration; Beta & Gamma functions; application to area & volume. [Pds. 10-3] UNIT – IV Vector Calculus: Vector operator ; directional derivative, gradient, divergence & curl; line, surface & volume integrals, Green’s, Gauss’s & Stoke’s theorem (without proof) & applications. [Pds. 10+3] UNIT – V Theory of Equations: Roots of polynomial equations, relations between roots and coefficients; transformation of equations, removal of terms; solution of cubic & biquadratic equatins-Cardon’s & Ferrari’s methods. |