CE-2003 : Numerical Methods & Computer Programming

3 hours/week    Credit : 3

Numerical Methods: Numerical solution of algebraic and transcendental equation. Solution of systems of linear equation. Matrices. Interpolation, Curve fitting by least squares, Numerical differentiation and integration, Finite differences, Divided differences. Numerical solution of differential equations.

Computer Programming : Basic components of computer system, flow diagram. C++ Language, Computer application to Civil Engineering problems. 

Math-2103: Engineering Mathematics-III

3 hours/week  Credit: 3

Differential Equation: Definition. Formation of differential equations. Solution of first order differential equation by various methods, solutions of differential equations of first order and higher degree. Solution general linear equation of second and higher orders with constant co-efficient. Solution of Euler's homogeneous linear equations. Solution of differential equations is series by the method of Frobenius. Bessel's functions, Legendre's polynomials and their properties.

Partial Differential Equation: Introduction Equations of the linear and non-linear first order. Standard forms. Linear equations of higher order-Equations of the second order with variable co-efficient. 

CE-2102 : Mechanics of Solids-I Sessional

3/2 hours/week    Credit : 0.75

 

Tension, Direct shear and impact tests of mild steel specimen; Compression test of timber specimen; Static bending test; Hardness test of metals.

CE-2101: Mechanics of Solids-I

3 hours/week  Credit: 3

Mechanical properties of materials: Fundamental concepts of stress and stain; Stresses and strains in members subjected to tension, compression, shear and temperature changes; Strain energy; Bending moment and shear force diagrams of beams and frames; Flexural and shearing stresses in beams; Shear center; Thin-walled pressure containers; Riveted and welded joints. 

CE-2002: Engineering Materials-II Sessional

3 hours/week  Credit: 1.5

Laboratory tests on specific gravity, unit weight, moisture content, absorption of coarse and fine aggregates, initial and final setting time of cement, Tensile and compressive strength test on cement mortar; gradation of coarse and fine aggregates Normal consistency; resistance to abrasion of coarse aggregates: effect of water/cement ratio on compressive strength and consistency of concrete, design and preparation of concrete mixture and determination of cylinder strength both for tension and compression.

CE-2001: Engineering Materials-II

3 hours/week  Credit: 3

Properties, uses and tests of bricks; efflorescence in bricks; Chemistry of cement: Normal strength and high strength concrete; concrete for special uses; chemical attack and salinity problems in concrete; Properties and uses of different types of admixtures; properties of fresh and hardened concrete; concrete mix design.

Atomic structure; bonding and crystal structure; mechanical properties; yielding; elasticity, plasticity; fracture; Properties and uses of glass rubber and plastics; corrosion and its prevention; Ferro-cement. 

Ch-2101: Chemistry-II

3 hours/week  Credit: 3

Physical Chemistry: Thermochemistry: head of reaction, formation, laws of thermochemistry, Kirchoff's equation. Chemical equilibrium: Law of mass actions. Kp and Kc, Le Chatelier's principle. Chemical Kinetics: rate. order, molecularity of chemical reaction. rate expressions: Solution: various ways of expressing concentration of solution, Henry's law, Distribution law: law and its derivation. applications, effect of association and dissociation on it, Colligative properties: Raoult's low, depression of freezing point, elevation of boiling point, Osmosis: Osmatic pressure and its determination. semi-permeable membrane, reverse osmosis, laws of osmosis, Colloids: definition, classification and preparation, electrochemistry: dissociation of water p^H and its measurement.  

Colloid and colloidal solution : Classification, preparation purification, properties, protective action and application of colloids.

Polymers: Chemistry of polymerization different types of polymers and their properties, polymer degradation, elastomers and composite materials. 

Ph-2101: Physics - II

3 hours/week  Credit : 3

Physical Optics: Theories of light: Huygen's principle and construction. Interference  of light: Young's double slit experiment. Fresnel bi-prism. Newton's rings. interferometers. Diffraction of light: Fresnel and Fraunhoffer diffraction, diffraction by single slit, diffraction by double slit, diffraction gratings, polarization, production and analysis of polarized light, optical activity, optics of crystals.

Modern Physics: Michelson Morley's experiment, Galilean transformation, special theory of relativity, Lorentz-transformation, relative velocity, length contraction, time dilation, mass-energy relation. Photo-electric effect. Compton effect, de-Broglie wave, Bohr's atom model. Radioactive decay, half life, mean life, isotopes, nuclear binding energy, alpha, beta, gamma decay. 

Math-2101: Engineering Mathematics -II

4 hours/week    Credit: 4

Co-ordinate Geometry: Transformation of co-ordinates; Pair of straight lines; Circles; System of circles; Radial axis; Parabola-standard equation Ellipse, Hyperbola in Cartesian and Polar co-ordinate, Diameter, Conjugate Diameter, Tangent, Normal; General equation of second degree.

Matrices: Definition of matrix: Algebra of matrices, Multiplication of matrices. Transpose of matrix and inverse of matrix. Rank and elementary transformation of matrices. Solution of linear equations. Linear dependence and independence of vector. Quadratic forms. Matrix polynomials. Determination of characteristic roots and vectors. Null space and nullity of matrix. Characteristic subspace of matrix.

Vector Analysis: Scalars and vectors, equality of vectors. Addition and subtraction of vectors, Multiplication of vectors by scalars, Position vector of a point. Resolution of vectors. Scalar and vector product of two vectors and their geometrical interpretation. Triple product and multiple product. Application to geometry and mechanics. Linear dependence and independence of vectors. Differentiation and integration of vectors together with elementary application. Definition of line, surface and volume integral. Gradient, divergence and curl of point functions. Various formulae. Gauss's theorem stake's theorem Green's theorem and their applications.

CE-1109: Engineering Mechanics

4 hours/week  Credit : 4

Resultant and components of forces: Co-planar and non-coplanar forces: Parallel and non-parallel forces: Centroid: Moment of inertia of areas and masses; Maximum and minimum forces: flexible chords.

Friction; Plane motion: Force system that Produce rectilinear motion: work, power and energy; Impulse and momentum.