# GITAM Univeristy

# Mathematics II Syllabus

**B.Tech. (BT)Second Semester**

**Bridge Course -II (BPC Stream)**

**EURMT207: Mathematics – II**

**Code: EURMT207 Category : BC**

**Department: Engg. Mathematics**

Aim of the Course is to impart knowledge of basics in Mathematics to enable them

understand advanced concepts / applications easily.

UNIT-I.

Linear Algebra Matrices : (12 periods)

Matrices and Determinants – definition – types of matrices – algebra of matrices –

properties of determinants of 2 x 2 and 3 x 3 order matrices – Inverse of a matrix –

Solving simultaneous linear equations in 2 and 3 variables using matrix inverse

method and Cramer’s rule.

UNIT- II.

Algebra of Partial fractions : ( 8 periods)

Introduction – Resolving

( )

( )

g x

f x into partial fractions when g(x) contains non repeated

linear factors, repeated & non – repeated linear factors, repeated irreducible factors

only and repeated and non-repeated irreducible factors.

UNIT- III.

Permutations & Combinations : (12 periods)

Definition of linear and circular permutations – number of permutations of n

dissimilar things taken r at a time – number of permutation of n dissimilar things

taken r at a time when repetition of things is allowed any number of times – number

of circular permutations of n different things taken all at a time – number of

permutations of n things taken all at a time when some of them are alike and the rest

are dissimilar – number of combinations of a n dissimilar things taken r at a time.

Introduction of Binomial theorem – expansion of (x + a)n , (1 + x)-1, (1 – x)-1, (1 + x)-2

& (1 – x)-2 .

UNIT- IV.

Trigonometry: (12 periods)

Trigonometric functions – graphs – periodicity – trigonometric ratio of compound

angles multiple and submultiples angles – transformations – trigonometric equations.

Brief introduction of inverse trigonometric, hyperbolic and inverse hyperbolic

functions.

UNIT-V.

Complex numbers: ( 8 periods)

Complex number as an ordered pair of real numbers, representation of z = (a, b) in the

form (a + i b) – conjugate complex numbers – modulus and amplitude of a complex

number – geometrical representation of a complex number – Argand plane – Argand

diagram. Demoivers theorem for integral index and rational index (without proof) – nth

roots of unity – Geometrical representation, cube roots of unity.

Textbooks Prescribed:

1. Engineering Mathematics,Dr.V. Ramamoorthy, Dr.A Solai Raju. S. Ramamoorthy, S.

Ganesh. Pub. Viodayal Karuppur, Kambakonam RMS. Anuradha Agencies.

2. Intermediate Mathematics Volume I & II, V.Venkateswara Rao, N.Krishna Murthy,

B.V.S.Sharma, S.Chand& Company Ltd.

References :

A first Course in Mathematics for Engineers Chandrika Prasad. Prasad Mudranakya,

Allahabad

Note: The figures in parentheses indicate approximate number of expected hours of

Instruction.