{"id":79,"date":"2021-07-25T13:20:11","date_gmt":"2021-07-25T13:20:11","guid":{"rendered":"https:\/\/d7.itgeeks.in\/?p=79"},"modified":"2021-07-31T13:20:41","modified_gmt":"2021-07-31T13:20:41","slug":"2k6-en101-engineering-mathematics-i","status":"publish","type":"post","link":"https:\/\/itgeeks.in\/home\/?p=79","title":{"rendered":"2K6 EN101: ENGINEERING MATHEMATICS I"},"content":{"rendered":"\n

Module I: Ordinary differential equations (16 hours)<\/strong>
A brief review of the method of solutions first order equations – Separable, homogeneous and linear types \u2013 Exact equations – Orthogonal trajectories \u2013 General linear second order equations – homogeneous linear equation of the second order with constant coefficients \u2013 Fundamental system of solutions \u2013 Method of variation of parameters \u2013 Cauchy\u2019s equation.
Module II: Laplace transforms (17 hours)<\/strong>
Gamma and Beta functions \u2013 Definition and simple properties \u2013 Laplace transform – Inverse transform \u2013 Laplace transform of derivatives and integrals \u2013 Shifting theorems \u2013 Differentiation and integration of transforms – Transforms of unit step function and impulse function \u2013 Transforms of periodic functions \u2013 Solutions of ordinary differential equations using Laplace transforms.
Module III: Vector differential calculus (18 hours)<\/strong>
Functions of more than one variable \u2013 Idea of partial differentiation \u2013 Euler\u2019s theorem for homogeneous functions \u2013 Chain rule of partial differentiation \u2013 Application in errors and approximations. Vector function of single variable \u2013 Differentiation of vector functions \u2013 Scalar and vector fields \u2013 Gradient of a scalar field \u2013 Divergence and curl of vector fields \u2013 Their physical meanings \u2013 Relation between the vector differential operators.
Module IV: Fourier series and harmonic analysis (15 hours)<\/strong>
Periodic functions \u2013 Trigonometric series \u2013 Euler formulae \u2013 Even and odd functions – Functions having arbitrary period \u2013 Half range expansions \u2013 Numerical method for determining Fourier coefficients – Harmonic analysis<\/p>\n\n\n\n

Reference Books:<\/strong>
1. Piskunov N. , Differential and Integral calculus, MIR Publishers<\/a>
2. Wylie C. R. , Advanced Engineering Mathematics, McGraw – Hill<\/a>
3. B. S Grewal. , Higher Engineering Mathematics, Khanna publishers<\/a>
4. Kreyszig E. , Advanced Engineering Mathematics, Wiley Eastern
<\/a>5. Thomas G,B. , Calculus and Analytic Geometry, Addison Wesley<\/a>
6. Spigel. , Vector analysis, Schume series, Mc Grawhill<\/a>
7. Sastry S. S. Engineering Mathematics, Prentice Hall of India  

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S1S2 Question Paper <\/a><\/div>\n\n\n\n
Notes<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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