Community Sites
Create your own community website and start earning today !
It's Free !

Forum Resources Mentors Projects Entrance Exams Question Papers Colleges Courses Universities Schools Make Money

Communities Members Bookmarks Polls Fresher Jobs Strange Photos Academic Projects New Member FAQ

My Profile

AdSense Revenue

Active Members
Today

Anil (174)
Sandy (84)
Saagar (83)

Last 7 Days

Girish Patil (1593)
bharath (1226)
Sandy (1190)

more...

Awards & Gifts

Online Exams

Fresher Jobs

Our fresher job section is exclusively for fresh graduates! Find jobs for freshers in major Indian cities including Bangalore, Chennai, Hyderabad, Pune or Kochi

Resources

Find educational articles, blogs, discussion threads and other resources.

Colleges

Find details about any college in India or search for courses.

Anna University B.E. Marine Engg - Semester 1 - MATHEMATICS – I

Posted Date: 10 Dec 2007 Resource Type: Articles/Knowledge Sharing Category: General

Posted By: Bala Member Level: Diamond
Rating:

Points: 1

MA 131 MATHEMATICS – I

1. Matrices
Characteristic equation – Eigenvalues and eigenvectors of a real matrix – Properties of eigenvalues – Cayley-Hamilton theorem – Orthogonal reduction of a symmetric matrix to diagonal form – Orthogonal matrices - Reduction of quadratic form to canonical form by orthogonal transformation.

2. Three Dimensional Analytical Geometry
Direction cosines and ratios – Angle between two lines – Equation of a plane – Equation of a straight line – Co-planer lines – Shortest distance between skew lines – Sphere – Tangent plane – Plane section of a sphere – orthogonal spheres.
3. Geometrical Applications of Differential Calculus
Curvature – cartesian and polar coordinates – Circle of curvature – Involutes and Evolutes – Envelopes – properties of envelopes – Evolute as envelope of normals.

4. Functions of several variables
Functions of two variables – Partial derivatives – Total differential - Differentiation of implicit functions – Taylor’s expansion – Maxima and Minima – Constrained Maxima and Minima by Lagrangean Multiplier method – Jacobians – differentian under integral sign.

5. Ordinary Differential Equations
Simultaneous first order linear equations with constant coefficients – Linear equations of second order with constant and variable coefficients – Homogeneous equation of Euler type – equations reducible to homogeneous form – Method of reduction of order - Method of variation of parameters.

Responses

Author: Bala 13 Dec 2007

Member Level: Diamond Points : 1

Text Books :
1. Kreyszig, E., “Advanced Engineering Mathematics” (8th Edition), John Wiley and Sons (Asia) Pte Ltd., Singapore, 2001
2. Veerarajan, T., “Engineering Mathematics”, Tata McGraw Hill Publishing Co., NewDelhi, 1999.

Books for Reference:
1. Grewal, B.S., “Higher Engineering Mathematics” (35th Edition), Khanna Publishers, Delhi , 2000.
2. Kandasamy, P., Thilagavathy, K., and Gunavathy, K., “Engineering Mathematics”, Volume I (4th Revised Edition), S. Chand & Co., New Delhi, 2000.
3. Narayanan, S., Manicavachagom Pillay, T.K., Ramanaiah, G., “Advanced Mathematics for Engineering Students”, VolumeI (2ndEdition), S. Viswanathan (Printers & Publishers), 1992.
4. Venkataraman, M.K. “Engineering Mathematics - First year ” National Publishing Company, Chennai (2nd Edition), 2000.

Feedbacks

Popular Tags

What are tags ?

Search Tags

(No tags found.)

Post Feedback

This is a strictly moderated forum. Only approved messages will appear in the site. Please use 'Spell Check' in Google toolbar before you submit.
You must Sign In to post a response.

	Next Resource: Anna University B.E. Marine Engg - Semester 1 - ENGLISH - I
	Previous Resource: Anna University B.E. Marine Engg - Semester 2 - APPLIED CHEMISTRY - II
	Return to Discussion Resource Index
	Post New Resource
	Category: General

Post resources and earn money!

Related Resources

Watch TV Channels

Watch Asianet TV online

Kairali TV in Internet

Surya TV online

Amritha TV Channel