### MA6151 M1 Important Questions

Anna University Regulation 2013 Computer Science & M1ineering (CSE) MA6151 M1 Important Questions for all 5 units are provided below. Download link for CSE 1st SEM MA6151 MATHEMATICS I Answer Key is listed down for students to make perfect utilization and score maximum marks with our study materials.

OBJECTIVES:

### MA6151 M1 Important Questions

•  To develop the use of matrix algebra techniques this is needed by engineers for practical applications.
•  To make the student knowledgeable in the area of infinite series and their convergence so that he/ she will be familiar with limitations of using infinite series approximations for solutions arising in mathematical modeling.
•  To familiarize the student with functions of several variables. This is needed in many branches of engineering.
•  To introduce the concepts of improper integrals, Gamma, Beta and Error functions which are needed in engineering applications.
•  To acquaint the student with mathematical tools needed in evaluating multiple integrals and their usage.UNIT I MATRICES 9+3Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of eigenvalues and eigenvectors – Statement and applications of Cayley-Hamilton Theorem – Diagonalization of matrices – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.UNIT II SEQUENCES AND SERIES 9+3Sequences: Definition and examples – Series: Types and Convergence – Series of positive terms – Tests of convergence: Comparison test, Integral test and D‟Alembert‟s ratio test – Alternating series – Leibnitz‟s test – Series of positive and negative terms – Absolute and conditional convergence.
TEXT BOOKS:

1. Bali N. P and Manish Goyal, “A Text book of Engineering Mathematics”, Eighth Edition, Laxmi Publications Pvt Ltd., 2011.
2. Grewal. B.S, “Higher Engineering Mathematics”, 41st Edition, Khanna Publications, Delhi, 2011.

REFERENCES:

1. Dass, H.K., and Er. Rajnish Verma,” Higher Engineering Mathematics”, S. Chand Private Ltd., 2011.
2. Glyn James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education, 2012.
3. Peter V. O‟Neil,” Advanced Engineering Mathematics”, 7th Edition, Cengage learning, (2012).
4. Ramana B.V, “Higher Engineering Mathematics”, Tata McGraw Hill PublishingCompany, New Delhi, 2008.
5. Sivarama Krishna Das P. and Rukmangadachari E., “Engineering Mathematics”, Volume I,Second Edition, PEARSON Publishing, 2011.

If you require any other notes/study materials, you can comment in the below section.
If you require any other notes/study materials, you can comment in the below section.