CBCGS [2016 - current]

CBGS [2012 - 2015]

Old [2000 - 2011]

## Topics with syllabus and resources

1 Beta and Gamma Functions, Differentiation Under Integral Sign and Exact Differential Equation old

1.01 Beta and Gamma Functions and Its Properties

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1.02 Rectification of Plane Curves

1.03 Differential Equation of First Order and First Degree

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2 Differential Calculus old

2.01 Linear Differential Eqaution with Constant Coeffiecient

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2.02 Linear Differential Equations(Review), Equation Reduciable to Linear Form, Bernoulli’S Equation

2.03 Cauchy’S Homogeneous Linear Differential Equation and Legendre’S Differential Equation, Method of Variation of Parameters

2.04 Simple Application of Differential Equation of First Order and Second Order to Electrical and Mechanical Engineering Problem

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3 Numerical Solution of Ordinary Differential Equations of First Order and First Degree and Multiple Integrals old

3.01 Multiple Integrals‐Double Integration

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3.02 Taylor’S Series Method,Euler’S Method,Modified Euler Method,Runga‐Kutta Fourth Order Formula

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4 Multiple Integrals with Application and Numerical Integration old

4.01 Triple Integration

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4.02 Application to Double Integrals to Compute Area, Mass, Volume. Application of Triple Integral to Compute Volume

4.03 Numerical Integration

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5 Differential Equations of First Order and First Degree

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6 Linear Differential Equations with Constant Coefficients and Variable Coefficients of Higher Order

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7 Numerical Solution of Ordinary Differential Equations of First Order and First Degree, Beta and Gamma Function

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8 Differentiation Under Integral Sign, Numerical Integration and Rectification

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9 Double Integration

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10 Triple Integration and Applications of Multiple Integrals

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