Syllabus
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Course Code: EI-BS-103 Course Name: Mathematics-I |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Applications of Differentiation Taylor's & Maclaurin's series, Expansion by use of known series, Expansion by forming a differential equation, Asymptotes, Curvature, Tracing of Cartesian curves. |
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| 2 | Partial Differentiation & its Applications: Euler's theorem, Jacobian, Errors and approximations, Maxima-minima of functions of two variables, Lagrange's method of undetermined multipliers. |
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| 3 | Double Integral:Change of order of integration Double integral in polar coordinates, Applications of double integral to find area enclosed by plane curves volume of solids of revolution. Triple integral:Volume of solids |
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| 4 | Vector Calculus: Differentiation of vectors: Gradient of a scalar field and directional derivative, divergence, and curl of a vector field, Del applied twice to point functions, Del applied to product of point functions. Integration of vectors: line integral, surface integral, volume integral, Green's, Stoke's and Gauss divergence theorems (without proof). | |
