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We are providing complete syllabus for Bihar BCECE [Lateral Entry] LE 2015 Examination for Engineering & Paramedical courses. The Exam Pattern & Best Author books for Bihar BCECE [LE] 2015 examination can be checked on official prospectus.
BCECE [LE] 2015 Syllabus for Engineering & Para-Medical Exam
Online Registration 08.04.2015.
Online Registration 29.04.2015.
Bank Challan 02.05.2015.
Registration Online Application Form last date: 04.05.2015.
Hard Copy 11.05.2015.
Online Admit Card 7.05.2015.
Date of Examination: 17.05.2015.
For Engineering Degree Courses 2015 Entrance Exam [LE] BCECE:
(A) MATHEMATICS :
Solid Geometry : Cartesian, Cylindrical, Polar, Spherical Polar Co-ordinates, Direction ratios and direction cosines, equations of Planes and Straight lines shortest distance, Co-ordinate transformations, Spheres, Cones, Cylinders, Ellipoids, Paraboloids and Hyperpoloid, Standard equations. With illustration, tangent, Planes and normals.
Differential Calculus : Review of Limit. Continuity and differentiability of functions of a Single Variable with terminology, Properties of Continuous functions, geometrical illustrations, applications of differentiation to approximate computations, Successive differentiation, Lebnitz rule, Rolle’s theorem, Cauchy’s mean value theorem (Lagrange mean value theorem as a special case). Taylor and Maclaurin expansions, L-Hospital rule, Review of maxima and minima of function of Single Variable, Concavity and Convexity of a Curve, Points of inflexion, asymptotes and Curvature. Limit, Continuity and differentiability of function, geometrical interpretations, differentials, derivatives of composite and implicit function, derivative of higher orders and their Commutativity, Euler’s theorem on homogeneous function. Taylor expansion of fuctions of several variables, maxima and minima of functions of several variables. Lagrange method of multipliers.
Integral Calculus : Riemann integrals (upper and lower sums), definite integral as the limit of a sum, Fundamental theorem of integral calculus, mean value theorems, evaluation of definite integrals, reduction formula, convergence of improper integrals, tests of convergence, beta and gamma functions, elementary properties, differentiation under integral sign, differentiation of integrals with variable limits, Lebnitzrule, integrals dependent on a parameter applications, Rectification, double and triple integrals, computation of surfaces and volumes, change of variables in double integrals, Jacobean transformations, integrals dependent on parameters application.
Differential Equations : First order equation variable separable, exact, homogeneous, linear and Bernoulli’s form, second order equations with constant coefficients, Euler equations, methods of their solution, Dependence and independence of Solutions, wronskian systems of first order equations (Simple type).
Vector Calculus : Scalar and vector fields, level surfaces, directional derivative, gradient, curl, divergence, laplacian, line and surface integrals, theorem of green, Gauss and stokes, Orthogonal Curvilinear coordinates, Infinite Series; Sequence and series their convergence and divergence, test of convergence, Power Series – uniform and absolute convergence.
Matrices : Algebra of matrices, vector space, linear dependence of vectors, rank and inverse of a matrix, solutions of algebraic equations, consistency conditions, eigen value and eigen vectors, similarity transformation reduction to a diagonal matrix.
Fourier Series : Its convergence, Drichlet conditions, half range series.
(B) ENGINEERING MECHANICS :
Introduction : Idealization of Mechanics, concept of Rigid Body. External Forces [Body forces & Surface Forces], Laws of Mechanics.
Vector Methods : Equality and Equivalence of vectors, Free and Bound Vectors, Principle of Transmissibility of forces, Moment of a force about a point and about a line, couple and moment of a couple, couple moment as a free – vector, Addition and substraction of couples.
Various Systems of Forces : Statically Equivalent Force Systems, Simplest Equivalent of a System of forces.
Equilibrium : Force analysis, Free Body Diagram, Equations of equilibrium and their applications to various system of forces, Plane Trusses.
Friction : Friction on dry surfaces, static, Kinetic and rolling friction, applications to inclined planes, wedge and blocks and belts and pulleys.
Kinematics and Kinetics of a Particle : Rectilinear and Curvilinear translations, Normal and tangential components of acceleration, Projectile motion on a smooth vertical curve.
Impulse and Momentum : Linear Impulse and linear momentum, Central Impact of elastic, semi-elastic & Plastic bodies.
Kinematics and Kinetics of Rigid Bodies : Angular Velocity and angular acceleration, Effective Forces on a rigid body, D’Alembert’s Principle-Application to Highways and Railway-tracks, Instantaneous centre of rotation, compound pendulum, centre of percussion, Rotation of Rigid bodies, Rolling motion, Plane motion of rigid bodies, simple application – Four bar mechanism.
Work, Energy and Power : Work done by forces and couples, Potential, Elastic and kinetic energy, work energy, conservation of energy, concept of power and efficiency.
(C) TECHNICAL ENGLISH :
Grammar and Comprehension : (a) Subject – Verb concord (b) Tense (c) Voice (d) Synthesis (e) Common Errors (f) Vocabulary, Unseen Passage will be set to test the language skills mentioned above.
Business Correspondence : (a) Drafting Official and Business Letters (b) Drafting Circulars and Official Orders / Instructions (c) Drafting Minutes and Agenda of the Meeting.
Elementary Spoken English : Elementary theory of phonetics.
Sentence and Paragraph Writing.
Report Writing : (i) Importance of Reports in the Present day Industrial Set-up (ii) Classification of Reports (iii) Writing of Reports :- (a) Format (b) Mechanics of language.
Technical Description of things and Processes.
Precis Writing.
Spoken English.
For Para-Medical Degree Courses Syllabus 2015:
(A) ANATOMY & PHYSIOLOGY :
Anatomy :
1) Introduction of bones and muscles
2) Different Vital Organs:
Respiratory organ
Circulatory organ
Digestive organ
Reproductive organ
Liver & Spleen
Excretory organ
Central Nervous organ
Sense organ
3) Embryology
Physiology :
1) Introduction- Definition
2) Basic knowledge of various system :
Cardio-Vascular system
Respiratory
Digestive
Excretory
Reproductive
Endocrine
Lymphatic
Central Nervous xi) Circulatory
3) Special Senses:
Auditory system
Olfactory
Visual
Tactile sensation
Taste sensation
4) Pulse, B.P.- Systolic & Diastolic Blood Pressure, Heart sound (Normal & Abnormal), Cyanosis,Edema
and Temperature regulation.
5) Skin.
(B) PATHOLOGY, MICROBIOLOGY & BIOCHEMISTRY :
Pathology :
General Pathology- Introduction
Hematology:
Haemoglobin:- a) Estimation b) Other details
S.R.: a) Estimation.
About BCECE: The Bihar Combined Entrance Competitive Examination (BCECE) is conducted by the Entrance Competitive Examination Board (ECEB) for admission in Undergraduate course in Engineering and Pharmacy, Medical, Para Medical, Biotechnology And Agriculture. Bihar Combined Entrance Competitive Examination Board (BCECEB) is constituted under Bihar Combined Entrance Competitive Examination Act, 1995 . It conducts competitive examinations every year for admissions in various professional courses of Medical, Engineering and Agricultural streams in the Institutions of the state of Bihar.
Also Read >>>> BCECE [LE] 2015 – Lateral Entry Application Form/ Notification Engineering & Para Medical.
Also Read >>>> Download Bihar BCECE Admit Card 2015.
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