Diploma Engineering Mathematics 2 Question papers
Unit 1 ANALYTICAL GEOMETRY
1.1 ANALYTICAL GEOMETRY I:
Introduction – Locus – Straight lines – angle between two straight lines – pair of straight lines – simple problems.
1.2 ANALYTICAL GEOMETRY II:
Circles – General equation of a circle – Equation of tangents to circle. Family of circles-Concentric circles – Orthogonal circles (condition only) – contact of circles – simple problems.
1.3 CONICS
Definition, general equation and classification of conics. Sections of a cone – parabola, ellipse and hyperbola – standard equations – Applications of Conics – Simple problems.
Unit 2 VECTOR ALGEBRA – I
2.1 VECTOR – INTRODUCTION
Definition of vector – types, addition, subtraction and scalar multiplication of vector, properties of addition and subtraction.
Position vector. Resolution of vector in three dimensions, distance between two points, Direction cosines and direction ratios. Simple problems.
2.2 PRODUCT OF TWO VECTORS
Scalar product – Vector product – condition for parallel and perpendicular vectors, properties, angle between two vectors, unit vector perpendicular to two vectors –simple problems.
2.3 APPLICATION OF SCALAR AND VECTOR PRODUCT
Geometrical meaning of scalar product and vector product, workdone, moment –simple problems
Unit 3 VECTOR ALGEBRA – II
3.1 PRODUCT OF THREE AND FOUR VECTORS
Scalar and vector triple product and product of four vectors-simple problems.
3.2 VECTOR DIFFERENTIATION
Vector point function and vector field, scalar point function and scalar field, vector differential operator – Gradient – basic properties of the gradient- simple problems.
3.3 APPLICATION OF VECTOR DIFFERENTIATION
Divergence, basic properties, solenoidal, curl of a vector function, irrotational vector- simple problems.
Unit 4 INTEGRAL CALCULUS – I
Unit 5 INTEGRAL CALCULUS – II
Engineering Mathematics 2 Board Exam Question Papers
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