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FIRST YEAR (Common to all branches) SUBJECT L T P THEORY SESSIONAL 101. TECHINICAL ENGLISH 2 1 0 100 - 102. MATHEMATICS I 1
FIRST YEAR
(Common to all branches)
SUBJECT
L
T
P
THEORY
SESSIONAL
101.
TECHINICAL ENGLISH
2
1
0
100
-
102.
MATHEMATICS I
2
1
0
100
-
103.
MATHEMATICS II
2
1
0
100
-
104.
PHYSICS
2
1
3/2
100
50
105.
CHEMISTRY
2
1
3/2
100
50
106.
ENGINEERING MECHANICS

2
1
3/2
100
50
107.
ENGINEERING DRAWING
1
0
5
100
100
108.
BASIC ELECTRICAL ENGINEERING
2
1
3/2
100
50
WORKSHOP
0
0
3
0
100

_________________________________________
15
7
14
800
400
Courtesy: www.BCEBhagalpur.net 2
101. TECHNICAL ENGLISH
FIRST TERM:
1. 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.
2. Business correspondence:
(a) Drafting official and business letter (b) Drafting circulars and official orders/instructions and
(c) Drafting Minutes and Agenda of the meeting
3. Elementary Spoken English: Elementary theory of phonetics
SECOND TERM:
1.
Sentence and Paragraph writing
2. Report writing:
(a) Importance of Reports in the Present day Industrial set-up (b) Classification of Reports (c) Writing of Reports
(i)
Format, (ii) Mechanics of language
3.
Technical Description of things and Processes
4.
Precis writing
5.
Spoken English
Advanced Phonetics
Tutorial training in: (a) Accent in Spoken English (b) Intonation in spoken English
(c) Developing fluency and accuracy in oral communication
Texts / References
1. English Exercises-ed. by Dr S N Sinha
2. A Writer's Guide for Engineers and Scientists Rathbone Stone
3. Instruments of Communication Meredith (Pergamom Press)
Courtesy: www.BCEBhagalpur.net 3
102. MATHEMATlCS - I
FIRST TERM:
Solid Geometry:
Cartesian, Cylindrical polar and spherical polar coordinates, direction ratios and direction cosines,
equations of planes and straight line, shortest, distance, coordinate transformations; spheres, cones, cylinders elipoids,
paraboloids and hyperboloids...
standard equations with illustrations tangents planes and normal
Differential Calculus:
Review of limit, continuity and differentiality of functions of single variable with terminology, properties of continuous
functions; geometrical illustrations, applications of differentiation to geometrical illustrations, applications of differentiation
to approximate computations, successive differentiation Lobnitz rule. Rolles theorem cauchys mean value theorem,
(Lagrange mean value theorem as a special case),Taylor and Maclaurin expansions, L Hospital rule. Review of maxima
and minima of functions of a single variable, concavity and convexity of a curve, points of inflexion, asymptotes and
curvature.
SECOND TERM:
Limit, continuity and differentiability of function , Geometrical interpretations, differentials, derivatives of composite and
implicit function, Derivatives of higher orders and their commutativity, Eulers theorem on homogeneous function,
harmonic function, Taylor expansion of functions of several variables and maxima and minima of functions of several
variables, Langrange method of multipliers, Ordinary Differential Equation , First order Equation separable, exact,
homogeneous, linear Bernoullis form, second order equations with constant coefficient, Euler equation, methods of their
solution. Dependence and independence of solutions. Wronskian systems of first order equations (simple type)
Courtesy: www.BCEBhagalpur.net 4
103. MATHEMATICS-lI
FIRST TERM
Integral Calculus:
Riemann integrals upper and lower sums, definite integral as the limit of a sum,
fundamental theorem integral calculus, mean value theorems,
evaluation of definite integrals reduction formula,
convergence of improper integrals tests of convergence,
beta and gamma function elementary properties,
differentiation under integral sign, differentiation of integrals with variable limits
Lei-bnitz; rule, integrals dependent on a parameter applications
Rectification, double and triple integrals
Jacobians of transformations, integrals dependent on parameter application.
SECOND TERM
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 tests of convergence,
power series - uniform and absolute convergence:
Fourier series its convergence
,
Dirichlet, conditions half range series.
Matrices:
Algebra of Matrices, vector space linear dependence of vectors, rank and inverse
of a matrix, solution of algebraic equations consistency conditions
eigen-values and eigen vectors, similarity transformations reduction to a diagonal matrix.
Courtesy: www.BCEBhagalpur.net 5
1O4 CHEMISTRY
FIRST TERM
Modern Periodic Table:
A general discussion of s.p.d. & f block elements with respect of periodicity of properties on the basis of Atomic Radii
(Vander Waals covalent, metallic & ionic), lonization Enthalpy, Electron affinity, Electronegativity, Scales or
electronegativity, polarizing power of the cation (Ionic potential), Polarizability of the anion, Metallic character,
Magnetic properties and colour, Non-stoichiometry.
Factors affecting these properties, measurement and variation within a group and along a period. -5 lects
Chemical Bonding and Molecular Architect:
Conditions and energetics of the formation of ionic bond, covalent bonds (Sigma, pi, delta & tau)
Valence bond theory and resonance, Molecular orbital theory and Hybidization involving s.p.d. & f orbitals,
Metallic bond, Hydrogen bond, vanderwalls forces (keesom forces, Debye forces and London forces)
Molecular Structure Determination Of the shapes covalent molecules using Helferich rule, Hybridization & VSEPR
-5 lects.
Kinetic theory of gases.
Derivation of gas laws from kinetic equation Temperature of a gas, Molecular velocity,
Maxwells law of distrbution Of molecular velocities, Average velocity, Root mean square velocity
Mean free path, Deviation of real gases from the ideal gas laws, critical phenomena, Law of corresponding states,
Liquefaction Of gases and its applications
- 5 lects.
Colligative properties:
Diffusion and Osmosis Definition of Osmotic pressure, Isotonic solution, Hypertonic solution,
Reverse Osmosis and its application in the desalination of brackish water, lowering of vapour pressure,
Elevation of boiling point, Depression of Freezing point and their uses in the determination of molecular weights of non
volatile solutes, Abnormal molecular weights, calculation of degree of association and Dissociation, ideal and Non-ideal
solution.
-5 lects.
Electrochemistry and Corrosion of metals and its prevention:
Galvanic cells, Eiectrode potentials, Nernst equation, Galvanic series, Laws of Dry corrosion (Parabolic law, Linear law
and Logarithmic law), Wet corrosion (Electrochemical theory of corrosion), Types of corrosion (Drop corrosion, Crevice
corrosion, Deposit corrosion, Waterline corrosion, xray current corrosion, stress corrosion, Filiform corrosion and Pitting,
Protective measures against corrosion by (I) modifiication of environment (ii) modification of the properties of the metal (iii)
use of protective coatings and (iv) cathodic protection.
-5 lects.
Courtesy: www.BCEBhagalpur.net 6
SECOND TERM
Chemical Kinetics and catalysis:
Rate expression for first order and second order reactions, Energy of Activation and a brief treatment of the theories of
reaction rates (Collision Theory and Absolute Reaction Rate Theory), Catalysis and its applications in chemical industries
-4 lects.
Fundamental Reaction and High Polymers:
lnductive effect and its use. to explain the trends in acidity in organic molecules, resonance and its application in
explaining the orientation of substituents in an aromation substitution and in the relationship between color and
constitution.
A brief discussion of reactive intermediates-carbonion, carbonium ion and free radicals, SNI & SN2, El & E2 reaction.
Role of free radicals in chemical reactions and polymerizaiioh, Mechanism of polymerization, Engineenng uses of
polymeric materials, theromop!astic and thermosetting resins, ion exchange resins, Organic insulating and dielectric
matenais, Diopolymers.
- 8
lects
Ceramic Materials:
Materials used as ceramics, Requirements of a refractory, Manufacture of refractories classificalion and properties of
refractories, selection of special refractories, Class.
-4 lects.
Fuels:
Coal-classification and analysis,Petroleum R