Syllabus
1 Vector Calculus
Parametrization of curves. Arc length of curve in space. Line Integrals, Vector fields and applications as Work, Circulation and Flux. Path independence. potential function, piecewise smooth. connected domain, simply connected domain, fundamental theorem of line integrals. Conservative fields, component test for conservative fields, exact differential forms, Div, Curl, Green's theorem in the plane (without proof). Parametrization of surfaces. surface integrals. Stoke's theorem (without proof), Divergence Theorem (without proof).
2 Laplace Transform
Laplace Transform and inverse Laplace transform, Linearity. First Shifting Theorem (s-Shifiing). Transforms of Derivatives and Integrals. ODEs. Unit Step Function (Heaviside Function). Second Shifting Theorem (t-Shifting). Laplace transform of periodic functions. Short Impulses, Dime's Delta Function, Convolution. Integral Equations, Differentiation and Integration of Transforms. ODEs with Variable Coefficients, Systems of ODEs.
3 Fourier Integral
4 First order ordinary differential equations
First order ordinary differential equations. Exact, linear and Bernoulli's equations, Equations not of first degree: equations solvable for p, equations solvable for y. equations solvable for x and Clairaut's type.
5 Ordinary differential equations
6 Series Solutions of ODEs
| Syllabus | Download |
|---|---|
| Mathematics-II | Click Here |
Mathematics-II - IMP Question :
| Material | Download |
|---|---|
| Laplace Transform (IMP Questions) | Click Here |
| First Order Differential Equation (IMP Questions) | Click Here |
| Higher Order Differential Equation (IMP Questions) | Click Here |
| Mathematics-II - IMP Question By L.J College | Click Here |
| All Subject (IMP SEM 2) | Click Here |
| Mathematics-II (IMP Question & Answers) | Click Here |
Chapter-Wise PPTs/Notes :
| Units | Download |
|---|---|
Mathematics-II (Darshan Notes) | Click Here |
| Mathematics-II (Handwritten Notes) | Click Here |
| Engineering-Mathematics-II | Click Here |
Mathematics-II Old Papers :
| Year(Winter/Summer) | Question Paper |
|---|---|
| Winter 2019 | Click Here |
| Winter 2018 | Click Here |
| Summer 2020 | Click Here |
| Summer 2019 | Click Here |
| Summer 2018 | Click Here |
Mathematics-II Books :
| Books | Download |
|---|---|
| Mathematics-II By A.Ganesh And G.Balasubrmanian | Click Here |
| Engineering Mathematics | Click Here |
| Mathematics-II By Darshan Institute | Click Here |
| Engineering Mathematics-II | Click Here |