B.Sc Curriculum - Madras Christian College

Allied I: Allied Mathematics – I
(For both Physics and Chemistry)
Part III (b) - Allied I Credits: 5
Semester I - Paper I Hours / Cycle: 6
Unit I Hours: 18
Introduction to Partial Differentiation -Partial Differentiation – Total differential co-efficient -
Euler’s Theorem – Maxima and Minima of functions of two variables – Lagrange’s method of
undetermined multipliers.
Treatment and Content as in
Calculus – Volume I by S. Narayanan and T. K. ManicavachagomPillay, S. Viswanathan
Printers & Publishers Pvt. Ltd., 2009.
Chapter 8: Sections 1.1 – 1.6, 4, 5
Jacobian - Definition and simple problems.
Treatment and Content as in
Calculus – Volume II by S. Narayanan and T. K. ManicavachagomPillay, S. Viswanathan
Printers & Publishers Pvt. Ltd., 2009.
Chapter 6: Sections 1.1, 2.3, 2.4
Unit II Hours: 18
Introduction - Integration of irrational functions - Methods of integration of the following types
only:
dx
( px q)
,
2
dx,
2 ax 2 2
bx c dx, px
q
ax bx c dx ,
ax bx c ( ax bx c)
dx
dx
and
2
x k ax bx c
2
2
ax b cx d
-
Properties of Definite integrals - Integration by parts - Bernoulli’s formula.
Treatment and Content as in
Calculus – Volumes II by S. Narayanan and T. K. ManicavachagomPillay, S. Viswanathan
Printers & Publishers Pvt. Ltd., 2007.
Chapter 1: Sections 8, 11, 12, 15.1
Unit III Hours: 18
Second order linear differential equations with constants co-efficients – Methods of finding
particular integral of the functions of e ax , sin ax or cos ax, e ax v(x), x m .
Fourier series – Even and odd functions – Half range Fourier series.
Treatment and Content as in
Calculus – Volume III by S. Narayanan and T. K. ManicavachagomPillay, S. Viswanathan
Printers & Publishers Pvt. Ltd., 2007.
Chapter 2: Sections 1 – 4; Chapter 6: Sections 1 – 5