B.Sc. Computer Technology - Anna University

YMA001 APPLIED MATHEMATICS - I
UNIT – I
COMPLEX NUMBERS
5
L T P C
3 1 0 4
Expansion of Sin n� Cos n� in terms of Sin � and Cos � - Expansion of Sin n � ; Cos n � in
terms of sines and cosines of multiples of� , hyperbolic functions. Inverse hyperbolic functions.
UNIT – II MATRICES (12)
Rank of matrix - consistency and inconsistency of a system of linear equations – Eigen values
and Eigen vectors – Properties - Cayley Hamilton theorem – Reduction of Quadratic form to
Canonical form by Orthogonal reduction.
UNIT – III DEFINITE INTEGRALS (12)
Reduction formula for integral of sin n x, cos n x, tan n x – Definite integrals –Properties – Area of
Cartesian Curves -– volumes of Revolution.
UNIT – IV ORDINARY DIFFERENTIAL EQUATIONS
Solution of second order with constant coefficients and Variable coefficients - complimentary
function – particular integrals – simultaneous linear equations with constant coefficients of first
order.
UNIT – V APPLICATION OF DIFFERENTIATION (12)
Curvature of a curve – Radius of a curvature in Cartesian form - Centre of curvature – Circle of
curvature – Evolutes and Envelopes.
REFERENCE BOOKS :
(12)
(12)
LECTURE: 45 TUTORIALS: 15 TOTAL : 60
1. Veerarajan.T., “Engineering Mathematics”, TMH Pub. Co. Ltd., New Delhi 1999.
2. Kandasamy.P., Thilagavathy.K. and Gunavathy.K. – “Engineering Mathematics, Volume
– I”, S.Chand & Co., New Delhi, 2001.
YCS911 DIGITAL PRINCIPLES
L T P C
3 0 0 3
UNIT – I 9
Binary Systems : Digital Systems, Binary Numbers, Number Base Conversions, Octal and
Hexadecimal Numbers, Complements, Signed Binary Numbers, Binary Codes, Binary
Storage and Registers, Binary Logic
Boolean Algebra and Logic Gates: Basic Theorems and Properties of Boolean Algebra,
Boolean Functions, Canonical and Standard Forms, Digital Logic Gates.