The student will submit a synopsis at the beginning of the semester for approved from the departmental committee in a specified format.
Water: Specification for water, Analysis of water-Alkalinity, harness and its determination (EDTA Method only), water for domestic use, Water-softening-Lime-Soda process, Ion-exchangers polished water, Boiled-feed water, boiler problems-scale, sludge, priming and foaming, caustic embrittlement and corrosion, their causes and prevention, removal of silice, removal of dissolved gases, carbonates phosphate conditioning, colloidal conditioning, Calgon treatment, conditioning, Numerical problems of Alkalinity, hardness Lime-Soda process and EDTA method.
Partial derivatives, Chain rule, Differentiation of Implicit functions, Exact differentials, Tangents and Normals, Maxima, Minima and Saddle Points, Method of Lagrange multipliers, Errors and Approximations, Differentiation under integral sign, Jacobians and transformations of coordinates, Multiple Integrals-Double and Triple integrals, Applications to areas, Volumes etc.
Scalar and vector fields, Curves, Arc length, Tangent, Directional Derivative, Gradient of scalar field, divergence and curl of a vector field, Line integrals (independent of path), Greens theorem, Divergence theorem and Stokes theorem (without proofs), Surface Integrals.
Different definitions of molecular eights viz., Mw, Mn, Mv and then determinations, Industrial applications of polymers, Addition, condensation and Ionic polymerizations, solutions of polymers, good solvents, & bad solvent, solubility parameter, solutions viscosity and determination of intrinsic viscosity.
Calorific value: Gross and Net Calorific values and their determination by Boys Gas Calorimeter and Bomb Calorimeter.
Mathematical Preliminaries, Formulation of the Problem and Solution by Graphical method, The simplex Method, Dual problem formulation and Solution, Application to Transportation and Assignment Problems. Switching technologies, multiplexing, circuit switching, packet switching X.25, frame relax, SMDs ATM, B-ISDN, traffic matrix, traffic pattern calculations, performance issues of packet networks, delay, availability and reliability Campus network design, leased line and radio modems, DDR & ISDN Access Network design, X.25 remote access network design, Frame-relay interfaces & traffic shaping VSAT & WLAN network design. Telecommunications transmission : Basic Switching System, Simple Tele-phone Communication, evolution of switching systems -Stroger swithching systems, cross bar switching , Electronic Switching Space Division Switching, Time Division Switching Time Division space switching, Time Division Time Switching, Time multiplexed space switching, Time multiplexed Time Switching, Combination Switching.
Reuse processes: Object oriented business engineering, applying business engineering to define processes & organization, application family engineering, component system engineering, application system engineering Online Transaction Processing and Online Analytical Processing, OLAP Systems Vs Other Systems, Evolution of OLAP, OLAP characteristics, OLAP architecture, Different types of OLAP multidimensional OLAP, Hybrid OLAP and relational OLAP; Codds OLAP product evalution rules, Decision Making in the OLAP environment, Dataware-housing and OLAP software, Implementation Issues, Strategic planning.
Linear Algebra: Vector spaces linear independence and dependence of vectors, inner products, Inner product spaces, Matrices and determinants, Linear transformations, Systems of linear equations- consistency and inconsistency, Gauss elimination, rank of a matrix, inverse of a matrix, Bilinear, Quadratic, Hermitian, Skew-Hermitian Forms, Eigenvalues and Eigenvectors of a matrix, diagonalization of a matrix, Cayley-Hamilton Theorem (without proof).
Ordinary Differential Equations: Formation of ODEs, definition of order, degree and solutions.