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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. |

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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