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Book Details

Mathematics-1

Mathematics-1

Published by uLektz

Course Code:BMA101

Author:Ulektz

University: Bharath University, Tamil Nadu (BU)

Regulation:2015

Categories:Engineering Mathematics

Format : ico_bookePUB3 (DRM Protected)

Type :eBook

Rs.295 Rs.195 Rs.34% off

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Description :Mathematics-1

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

Topics
UNIT I MATRICES

1.1 Characteristic equation

1.2 Eigenvalues and Eigen vectors of a real matrix

1.3 Properties of eigenvalues and eigen vectors

1.4 Cayley - Hamilton Theorem(Excluding proof)

1.5 Orthogonal transformation of a symmetric matrix to diagonal form

1.6 Quadratic form

1.7 Reduction of a quadratic form to canonical form by orthogonal transformation

UNIT-II Three Dimensional Analytical Geometry

2.1 Equation of a Sphere

2.2 Plane section of a sphere - Tangent plane

2.3 Equation of cone - Right circular cone

2.4 Equation of a cylinder - Right circular cylinder

UNIT III APPLICATIONS OF DIFFERENTIAL CALCULUS

3.1 Curvature in Cartesian co-ordinates

3.2 Centre and radius of curvature

3.3 Circle of curvature

3.4 Evolutes

3.5 Envelopes-Applications of Evolutes and Envelopes.

4.1 Partial derivatives

4.2 Euler’s theorem for homogeneous functions

4.3 Total derivatives- Differentiation of implicit functions

4.4 Jacobians

4.5 Taylor’s expansion- Maxima and Minima

4.6 Method of Lagrangian multipliers

UNIT V MULTIPLE INTEGRALS

5.1 Double integrals - Cartesian and polar coordinates

5.2 Change of order of integration

5.3 Change of variables between Cartesian and Polar coordinates

5.4 Triple integration in Cartesian coordinates

5.5 Area as double integral

5.6 Volume as triple integral

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