Math-II Unit 1 First order ordinary differential equation. and Exact, linear and Bernoulli's equations,application of first order ordinary differential equations, orthogonal trajectories, Simple electrical Circuit, D' Alembert's principle, one dimensional Conduction of heat. Unit2: Multivariate Calculus [Differentiation). Limit, Continuity partial derivatives, Euler's theorem on homogenous function, implicit functions, Composite functions, total derivatives Jacobians and their applications, error and approximations, Marcima & Minima of function of two Variable ,Saddle points, Lagrange's Method of undermined Multipliers. Directional Derivative, Gradients, curl and divergence. Unit 3. Multiple Integral and its application. Double and triple integrals "Cartesian & polar Change of order of integration in double Integrals, change of Variables (Cartesian to polar) , application to find area and volume Unit4: Fourier Series .Fourier Series (Dirichlet's Condition), periodic functions, Convergence of the Fourier Series Euler's formula: Fourier Series expansion With period 2π, 2L, Fourier Series of even odd functions, Half range Sine & Cosine Series, application to harmonic analysis. my dear sir this is my bamu University syallabus unit 5 solid geometry . Cartesian, spherical,& cylindrical coordinate system , sphere,cone, cylinder
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Math-II
Unit 1 First order ordinary differential equation. and Exact, linear and Bernoulli's equations,application of first order ordinary differential equations, orthogonal trajectories, Simple electrical Circuit, D' Alembert's principle, one dimensional Conduction of heat.
Unit2: Multivariate Calculus [Differentiation). Limit, Continuity partial derivatives, Euler's theorem on homogenous function, implicit functions, Composite functions, total derivatives Jacobians and their applications, error and approximations, Marcima & Minima of function of two Variable ,Saddle points, Lagrange's Method of undermined Multipliers. Directional Derivative, Gradients, curl and divergence.
Unit 3. Multiple Integral and its application. Double and triple integrals "Cartesian & polar Change of order of integration in double Integrals, change of Variables (Cartesian to polar) , application to find area and volume
Unit4: Fourier Series .Fourier Series (Dirichlet's Condition), periodic functions, Convergence of the Fourier Series Euler's formula: Fourier Series expansion With period 2π, 2L, Fourier Series of even odd functions, Half range Sine & Cosine Series, application to harmonic analysis. my dear sir this is my bamu University syallabus unit 5 solid geometry . Cartesian, spherical,& cylindrical coordinate system , sphere,cone, cylinder
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