Engineering Mathematics I (U18BSMA101)

 COURSE OBJECTIVES:

• The objective of this course is to familiarize the prospective engineers with techniques in calculus, multivariate integration analysis and linear algebra.
• It aims to equip the students with standard concepts and tools at an intermediate to advanced level that will serve them well towards tackling more advanced level of mathematics and applications that they would find useful in their disciplines.

TEXT BOOKS:

1. Grewal B. S, Higher Engineering Mathematics, Khanna Publisher, Delhi – 2014.

2. Kreyszig. E, Advanced Engineering Mathematics, 10th edition, John Wiley & Sons, Singapore, 2012.

REFERENCES:

1. Veerarajan T, Engineering Mathematics, II edition, Tata McGraw Hill Publishers, 2008.

2. Kandasamy P &co., Engineering Mathematics, 9th edition, S. Chand & co Pub., 2010. U18BSMA101 Engineering Mathematics – I (Common to B. Tech - Mech, Mechatronics, Automobile, Aero, EEE, EIE, ECE, CSE, IT, Civil & Bio Medical admitted from July 2018) L T P C Total Contact Hours – 60 3 1 0 4 Prerequisite Course– School Level Mathematics Course Coordinator Name & Department – Ms. J. Aiswarya& Department of Mathematics COURSE OBJECTIVES The objective of this course is to familiarize the prospective engineers with techniques in calculus, multivariate integration analysis and linear algebra. It aims to equip the students with standard concepts and tools at an intermediate to advanced level that will serve them well towards tackling more advanced level of mathematics and applications that they would find useful in their disciplines. 18

3. N.P.Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi Publications, Reprint, 2010.

4. Narayanan S., Manicavachagam Pillai T.K., Ramanaiah G., Advanced Mathematics for Engineering students, Volume I (2nd edition), S.Viswanathan Printers and Publishers,

5. George B. Thomas ,Jr ,Maurice D.Weir, Joel Hass., Thomas’ Calculus ,Twelfth Edition Addison-Wesley, Pearson.

COURSE OUTCOMES (COs)

CO1 - Analyze the optimum solution of various engineering problems involving single variables.

CO2 - Know the basic concepts of integration and evaluating the problems which involves Beta and Gamma functions.

CO3 - Solve the differential functions and optimizes the problems with two variables functions.

CO4 - Apply multiple integrals to compute area and volume over curves, surface and domain in two dimensional and three-dimensional spaces.

CO5 - Evaluate Eigenvalue and eigen vector problems from practical areas using transformations.

CO6 - Construct the eigen vector for the problem in the engineering field and Diagonalizing the matrix.