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# Book Details # Engineering Mathematics-II

 Course Code : 30022 Author : uLektz University : Directorate of Technical Education,Tamilnadu Regulation : 2015 Categories : Engineering Mathematics Format : ePUB3 (DRM Protected) Type : eBook

FREE

Description :Engineering Mathematics-II of 30022 covers the latest syllabus prescribed by Directorate of Technical Education,Tamilnadu for regulation 2015. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### UNIT I ANALYTICAL GEOMETRY

1.1 EQUATION OF CIRCLE : Equation of circle given centre and radius. General equation of circle finding centre and radius. Equation of circle on the line joining the points (x1, y1) and (x2, y2) as diameter. Simple Problems.

1.2 FAMILY OF CIRCLES Concentric circles, contact of two circles(Internal and External) -Simple problems. Orthogonal circles (results only). Problems verifying the condition.

1.3 INTRODUCTION TO CONIC SECTION Definition of a Conic, Focus, Directrix and Eccentricity. General equation of a conic a x2 +2hxy +by2 +2 g x + 2 f y + c = 0 (statement only).Condition for conic (i) for circle:a=b and h=0 (ii) for pair of straight line: (iii) for parabola: h2 - ab = 0 (iv) for ellipse: h2 - ab < 0 (v) for hyperbola: h2 -ab > 0 simple problems.

###### UNIT II VECTOR ALGEBRA-I

2.1 Introduction: Definition of vectors – types, addition and subtraction of vectors, Properties of addition and subtraction, Position Vector, Resolution of vector in two and three dimensions, Direction cosines, direction ratios – Simple problems.

2.2 Scalar Product of Vectors: Definition of scalar product of two vectors – Properties – Angle between two vectors – Simple Problems.

2.3 Application of Scalar Product: Geometrical meaning of scalar product. Workdone by Force – Simple Problems.

###### UNIT III VECTOR ALGEBRA - III

3.1 VECTOR PRODUCT OF TWO VECTORS: Definition of vector product of two vectors. Geometrical meaning. Properties – Angle between two vectors – unit vector perpendicular to two vectors. Simple problems.

3.2 APPLICATION OF VECTOR PRODUCT OF TWO VECTORS & SCALAR TRIPLE PRODUCT: Definition of moment of a force. Definition of scalar product of three vectors – Geometrical meaning – Coplanar vectors. Simple problems.

3.3 VECTOR TRIPLE PRODUCT & PRODUCT OF MORE VECTORS: Definition of Vector Triple product, Scalar and Vector product of four vectors Simple Problems

###### UNIT IV INTEGRAL CALCULUS-I

4.1 Introduction: Definition of integration – Integral values using reverse process of differentiation – Integration using decomposition method. Simple problems.

4.2 Integration by substitution

4.3 Standard Integrals

###### UNIT V INTEGRAL CALCULUS II

5.1 INTEGRATION BY PARTS

5.2 BERNOULLI'S FORM OF INTEGRATION BY PARTS

5.3 DEFINITE INTEGRALS

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