Previous year question paper for MATH2 (Diploma Mechanical Engineering 1st-2nd)

Applied Mathematics-2

Previous year question paper with solutions for Applied Mathematics-2 from 2011 to 2013

Our website provides solved previous year question paper for Applied Mathematics-2 from 2011 to 2013. Doing preparation from the previous year question paper helps you to get good marks in exams. From our MATH2 question paper bank, students can download solved previous year question paper. The solutions to these previous year question paper are very easy to understand.

1. Algebra (12 hrs)

1.1 Determinants: Elementary properties of determinants up to 3rd

order, consistency of equations, Crammer’s rule.

1.2 Matrix: Algebra of matrices, Inverse of a matrix, matrix inverse

method to solve a system of linear equations in 3 variables.

2. Co-Ordinate Geometry (18 hrs)

2.1 Equation of straight line in various standard forms (without proof),

inter section of two straight lines, angle between two lines. Parallel

and perpendicular lines, perpendicular distance formula

2.2 General equation of a circle and its characteristics. To find the

equation of a circle, given:

* Centre and radius

* Three points lying on it

* Coordinates of end points of a diameter;

 2.3 Definition of conics ( Parabola, Ellipse, Hyperbola) their standard

Equations without proof.

Problems on conics when their foci, directrices or vertices are given.

3. Integral Calculus (34 hrs)

3.1 Integration as inverse operation of differentiation

3.2 Simple integration by substitution, by parts and by partial fractions

(for linear factors only)

3.3 Use of formulas

 for solving problems Where m,n are positive integers

3.4 Applications of integration for :

 (a) Simple problem on evaluation of area bounded by a curve and axes.

 (b) Calculation of Volume of a solid formed by revolution of an area

about axes. (Simple problems). 

34

4. Vector Algebra (10 hrs)

a) Definition notation and rectangular resolution of a vector.

b) Addition and subtraction of vectors.

c) Scalar and vector products of 2 vectors.

d) Simple problems related to work, moment and angular velocity

5. Differential Equations (06 hrs)

 Solution of first order and first degree differential equation by variable

separation method (simple problems)

2013
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2012
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2011
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