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05 COMPUTER SCIENCE & ENGGINEERING
Duration : 03 Year
Eligibility : 10th with Science & Mathematics
Intake : 25/40/60(As approved by AICTE/State Govt.)
Pattern of the Examination : Semester System
Assessment Type : The assessment will we carry out through credit point system/Learning Based Out comes
Theory & Practical Ratio : 50: 50
Industrial Training: Included after IInd Semester
Ecology & Environment : As pe Government Directions a subject named Environmental Science & Energy Management has been included.
Entrepreneurship Development: A subject on Entrepreneurship Development has been incorporated after IInd Semester.
General Proficiency : A provision of 6 periods per week has been made. It Included of various cocurricular activities like games, hobby clubs, seminars, declamation contests, extension lectures, NCC, NSS, cultural activities and discipline etc.

Syllabus


Paper Code :
991002
Paper Name :
APPLIED MATHEMATICS-I
1.1- Value of nP & nC (Without proof), Binomial theorem-(without proof) for r r
positive integral index (expansion, general term, middle term) and for any index
(expansion).
1.2-Partial fractions- (linear factors, repeated linear factors, non reducible quadratic
factors only).
1.3-Determinants-Definition, Properties of determinants, Expansion of determinants
(of order 2 and 3), Solution of simultaneous equations using Cramer’s rule ( in 2
and 3 unknowns ).
1.4-Matrices- Definition of matrix, addition, subtraction, multiplication of matrices (
upto 3 order), singular and non singular matrices, Adjoint of a matrix, Inverse of
a matrix by adjoint method (up to 3x 3 only).
1.5-Sets: Sets and their representation, Empty set, finite and infinite sets, equal sets,
subsets, power set, universal set, operation on sets, complement of set.
1.1-Review of ratios of some standard angles (0,30,45,60,90 degrees), T-Ratios of
Allied angles (without proof), Sum, difference formulae and their applications
(without proof). Product formulae (Transformation of product to sum, difference
and vice versa). T-Ratios of multiple angles, sub-multiple angles (2A, 3A, A/2).
1.1 Definition of complex numbers,Real and imaginary parts,Polar and Cartesian form and their conversion,Conjugate,Modulus and argument of a complex Number,Addition,Subtraction,Multiplication,division of complex numbers.
1.2 De-Moiver's Theorem(Statement Only) related simple problems,rth root of unity.
1.1- Function: Definitions of variables, constants, open & closed intervals.
1.2- Definitions & types of functions-simple examples.
1.3- Concept & definition of Limit.
1.4- Standard limits of algebraic, trigonometric, exponential & logarithmic
functions- simple problems. Examine the Continuity of a function at any point
(simple problem only).
1.5 Examine the continuity of a function at any point(Simple Problam Only)
1.6-Differentiation by (first principal) or by definition of differention xn, sin x, cos
x, tan x, ex, log x only . a
1.7-Differentiation of sum, product and quotient of functions. Differentiation of
function of a function.
1.8-Differentiation of trigonometric inverse functions. Logarithmic differentiation.
Exponential differentiation, Successive differentiation (up to third term only).
1.9-Application (a) Maxima and minima (b) Equation of tangent and normal to a
curve (for explicit functions only) (c) L’ Hospital rule for solving in in
determinate form ( 0/0, )

 1-HIGHER ALGEBRA BY HALL & KNIGHT

2-PLANE TRIGNOMETRY BY S L LONEY

3-ENGINEERING MATHEMATICS BY  SASTRY (PHI Learning)

4-ENGINEERING MATHEMATICS BY B S GREWAL  (Khanna Publishers)

5-ENGINEERING MATHEMATICS BY A.B MATHUR  (Khanna Publishers)

6-APPLIED MATHMATICS , BY  M K KANYAL   (Khanna Publishers, New Delhi)

7-APPLIED MATHEMATICS-I ,BY DR A.K.SINHA,Satya Prakashan,New Delhi

8-ENGINEERING MATHEMATICS,BY C.B.GUPTA,S.R.SINGH,MUKESH KUMAR,Mc GRAW HILL EDUCATION.

9-APPLIED MATHEMATICS BY R.D.SHARMA,DHANPAT RAI PUBLICATIONS,NEW DELHI

10-ENGINEERING MATHEMATICS,VOL-I & II,BY S.S.SABRWAL AND SUNITA JAIN,EAGLE PRAKASHAN,JALANDHER

11-BASIC ENGINEERING MATHEMATICS,BY JHON BIRD,NEWNES PUBLICATIONS.

12-A TEXT BOOK OF ENGINEERING MATHEMATICS,BY A.GANESH,G.BALASUBRAMNIUM.

13-POLYTECHNIC MATHEMATICS,BY DR. D.S.PRAKASH,S.CHAND,PUBLICATIONS,NEW DELHI.

14-A TEXT BOOK OF ENGINEERING MATHEMATICS,BY N.P.BALI & DR. MANISH GOYAL,KINDLY PUBLICATION.

15-ENGINEERING MATHEMATICS,BY C.B.GUTA,S.R.SINGH & MUKESH KUMAR,Mc GRAW-HILL PUBLICATIONS,DELHI

16-APPLIED MATHEMATICS, BY KAPOOR,NAV DISTRIBUTOR,MEERUT.



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