You are viewing all question papers of engineering mathematics-1 (B-TECH 1st-2nd)

Recommended Books for reference

Name : Advanced Engineering Mathematics

By : Erwin Kreyszig

Name : Advanced Engineering Mathematics

By : H. C. Taneja

Name : Engineering Mathematics: Volume I: 1

By : H. C. Taneja

Syllabus

PART A

1. Differential Calculus:

Curve tracing: Tracing of Standard Cartesian; Parametric and Polar curves; Curvature of Cartesian, Parametric and Polar curves. 

2. Integral Calculus:

Rectification of standard curves; Areas bounded by standard curves; Volumes and surfaces of revolution of curves; Applications of integral calculus to find centre of gravity and moment of inertia.

3. Partial Derivatives:

The function of two or more variables; Partial differentiation; Homogeneous functions and Euler‟s theorem; Composite functions; Total derivative; Derivative of an implicit function; Change of variable; Jacobians. 

4. Applications of Partial Differentiation:

Tangent and normal to a surface; Taylor‟s and Maclaurin‟s series for a function of two variables; Errors and approximations; Maxima and minima of function of several variables; Lagrange‟s method of undetermined multipliers.

PART B

5. Multiple Integrals:

A brief introduction of cylinder, cone and standard conicoids. Double and triple integral and their evaluation, change of order of integration, change of variable, Application of double and triple integration to find areas and volumes.

6. Vector Calculus:

Scalar and vector fields, differentiation of vectors, velocity and acceleration. Vector differential operators: Del, Gradient, Divergence and Curl, their physical interpretations. Formulae involving Del applied to point functions and their products. Line, surface and volume integrals. 

7. Application of Vector Calculus:

Flux, Solenoidal and Irrotational vectors. Gauss Divergence theorem. Green‟s theorem in plane, Stoke‟s theorem (without proofs) and their applications. 

Mark Favorite
2018
ViewDownload
ViewDownload
2017
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2016
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2015
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2014
ViewDownload
ViewDownload
ViewDownload
ViewDownload
2013
ViewDownload
ViewDownload
2012
ViewDownload
ViewDownload
2011
ViewDownload
ViewDownload
2010
ViewDownload
ViewDownload
2009
ViewDownload
ViewDownload
2008
ViewDownload
ViewDownload
2006
ViewDownload
2005
ViewDownload