B.E. First Year (Chemistry Group) – Engineering Maths II

Module-1 Linear Differential Equations with constant coefficients.

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Lecture – 02 Examples on Linear Differential Equations.

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Lecture-03 Inverse of Differential Operator

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Lecture-03 Inverse of Differential Operator

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Lecture-04 Particular Integral Type-2

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Lecture-05 Particular Integral Type-3 and Type-4

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Lecture-06 Particular Integral Type-5

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Lecture-07 Mixed Examples on Particular Integral

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Lecture-08 Method of variation of parameter

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Lecture-09 Method of undetermined co-efficient

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Lecture-10 More problems on method of undetermined co-efficient

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Lecture-11 Linear Differential Equation with variable co-efficient

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Lecture-12 Solution to Cauchy’s Linear Differential Equation

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Lecture-13 Equations Solvable for p

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Lecture-14 Problems on Equations solvable for p

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Lecture-15 Equations solvable for y

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Lecture-16 Equations solvable for x

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Lecture-17 Problems on Equations solvable for x

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Lecture-18 Problems on CLAIRAUT’S FORM

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lECTURE-19 Problems on Reducible to CLAIRAUT’S FORM

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Lecture-20 Introduction to partial differential equation

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Lecture-21 Formation of partial differential equation

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Lecture-22 Problems on Formation of partial differential equation

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Lecture-23 Solution of non-homogeneous pde by direct integration

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Lecture-24 Problems on solution to non-homogeneous pde by direct integration

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Lecture-25 Solution of Homogeneous pde

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Lecture-26 Problems on Solution of Homogeneous pde

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Lecture-27 Derivation of Wave Equation

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Lecture-28 Derivation of Heat Equation

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Lecture-29 Solution of one dimensional wave equation by variable separable method

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Lecture-30 Solution of one dimensional heat equation by variable separable method

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Lecture-31 Introduction and definition of Laplace transforms

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Lecture-32 Examples on Laplace transformation

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Lecture-33 Examples on Shifting property

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Lecture-34 Property and examples

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Lecture-35 Properties of Laplace transformation

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Lecture-36 Laplace transform of Periodic function

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Lecture-37 Inverse Laplace transforms

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Lecture-38 Examples on Inverse Laplace tranforms

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Lecture-39 Convolution theorem to find the inverse laplace transform

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Lecture-40 Solution of Linear differntial equation using Laplace transforms

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Lecture- 41 Evaluation of Double Integrals

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Lecture- 42 Evaluation of Triple Integrals

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Lecture- 43 Evaluation of double integrals by changing the order of the integration

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Lecture- 44 Problems on Changing the order of integration of double integrals

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Lecture- 45 Evaluation of double integrals by changing into polar form

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Lecture- 46 Applications of double and triple integrals

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Lecture- 47 Applications of double integrals to find Area and Volume

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Lecture- 48 Applications of triple integrals to find the Volume.

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Assignments

Module-1

Assignment -1: assignment-page-001

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Bibliography

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