BASIC ENGGINEERING MATHEMATICS – I
Theory Periods – 40, Tutorial periods – 12)
Unit – I Complex Numbers:
De Moivre’s theorem; roots of complex numbers; separation into real and
imaginary parts of circular, hyperbolic, logarithmic & exponential functions; summation of
trigonometric series by C+iS method.
Unit – II Differential Calculus:
Successive differentiation, Leibnitz’s theorem; expansions of functions
in Taylor’s & Maclaurin’s series; asymptotes; singular points; tracing of simple curves.
Unit – III Integral Calculus:
Reduction formulae; application of integration to rectification;
quadrature; volume of revolution; integral as the limit of a sum.
Unit – IV Partial Differentiation:
Partial derivatives; Euler’s theorem on homogeneous functions;
total derivative; change of variables; maxima & minima of functions of two variables; Lagrange’s
method of undetermined multipliers; Jacobians; differentiation under the integral sign.
Unit – V Ordinary Differential Equations & Applications:
Exact differential equations; reducible to
exact form; first order differential equations (non – linear); application to simple electrical circuit &
heat flow; Newton’s law of cooling.
1. Higher Engineering Mathematics by B.S.Grewal (38
th edition)- Khanna Publishers.
Advanced Engineering Mathematics by Erwin Kreyszig (8th edition)- John Wiley & Sons.
1. Differential Calculus by Gorakh Prasad- Pothishala Private Limited.
2. Integral Calculus by Gorakh Prasad- Pothishala Private Limited.
3. Advanced Engineering Mathematics by R.K.Jain & S.R.K. Iyengar- Narosa Publishing House.
4. Applied Mathematics for Engineers and Physicsts by Louis A. Pipes- Mc Graw Hill.
Dr. Arvind Sinha) (Dr. Gorakh Nath) Ext. Member 1 Ext. Member 2
Assistant Professor Assistant Professor
(Dr. R. P. Pathak)
Head , Department of Mathematics, NIT Raipur