MTH107:ELEMENTARY MATHEMATICS FOR ENGINEERS

L:3 T:0 P:0

Course Objectives:

The objective of this course is to familiarize the students with elements of mathematics. It acquaints the students with standard concepts and tools that will serve as building blocks towards tackling more advanced level of mathematics.

This is specially designed for students to help them bring to speed with other students who have already had some training in mathematics at the 12th Standard level.

Unit IBasic Calculus : Functions, Graphical representation of functions., Classification of functions, Limit of a function and Evaluation of limits, Continuity of a function-At a point, Continuity of a function-In an interval

Unit IIDifferential Calculus : Differential coefficient, General rules of differentiation, Derivatives of standard functions, Derivatives of Parametric forms, Derivatives of implicit functions, Logarithmic differentiation, Maxima and Minima, Partial derivatives, Total Derivatives

Unit IIIIntegral Calculus : Integration as an inverse process of differentiation and properties of indefinite integral, Methods of integration-By Substitution, Methods of integration-By Partial fractions, Methods of integration-By Parts, Definite integral as Limit of sum., Properties of definite integral, Method of solving first order differential equations-By Variable separable and Homogeneous differential equations, Linear differential equations of first order and first degree

Unit IVLinear Algebra : Determinant and its properties, Matrices, operations, Transpose, Ad joint, Inverse, Solution of Linear system of equations by Cramer's rule, Rank of a matrix, Vectors-Linear dependance and independance, Eigen values and Eigen vectors, Properties of Eigen values, Cayley-Hamilton theorem

Unit VLinear Programming Problems : Formulation of the problem, Graphical Method, General LPP, Canonical and standard form of LPP, Simplex method, Duality concept

Unit VIElements of Logic and Set theory : Sets and Set operations, Laws of set theory and principle of inclusion, De Morgan's law, Algebra of Logic, Logical operators, Statement generated by a set, Equivalence, Duality law and Arguments

Text Books:

1. Higher Engineering Mathematics by B.S.Grewal, khanna publisher., 42th Edition, (2012)

References:

1. Elementary Engineering Mathematics by Dr. B.S. Grewal, Khanna publisher, 11th Edition, (2005)

2. Advanced Calculus by Robert C.Wrede Murry Spiegel, Tata McGraw - Hill Education, 2nd Edition, (2005)

Credits:3

Page:1/1 Print Date : 6/14/2014 3:59:50 PM