PI PRODUCTION AND INDUSTRIAL ENGINEERING
MATHEMATICS
Linear Algebra: Determinants; algebra of matrices; rank; inverse; systems of linear
equations; eigenvalues and eigenvectors; quadratic forms.
Calculus: Taylor series, Fourier series, partial derivatives, total derivatives, definite
and improper integrals; multiple integrals.
Vector Calculus: Gradient; divergence and curl; vector identities; line integral and
surface integral; Green, Gauss and Stokes theorems.
Differential Equations: Ordinary differential equations; first order equations (linear and
non-linear); higher order linear differential equations with constant coefficients;
methods of variation of parameters; Cauchys or Eulers equations; initial and
boundary value problems; Laplace transform, partial differential equation.
Probability and Statistics: Probability spaces; conditional probability; Bayes theorem;
standard distributions and their properties; central limit theorem; sampling
distributions; estimation; testing of hypotheses; method of least squares; regression
analysis; analysis of variance.
Computer Programming & Numerical Methods: Elementary numerical methods in calculus and
ordinary differential equations, elements of programming in FORTRAN 77 and C.
GENERAL ENGINEERING
Engineering Materials: Structure and properties of engineering materials and their
applications; effect of strain, strain rate and temperature on mechanical properties of
metals and alloys; heat treatment of metals and alloys.
Applied Mechanics: Engineering mechanics - equivalent force systems, free body concepts,
equations of equilibrium, virtual work and minimum potential energy; strength of materials
- stress, strain and their relationship, Mohrs circle, deflection of beams, bending
and shear stress, Eulers theory of columns.
Theory of machines and Design: Analysis of planar mechanisms, plane Cams and followers;
governers and fly wheels; design of elements - failure theories; design of bolted, riveted
and welded joints; design of shafts, keys, belt drives, brakes and clutches.
Thermal Engineering: Fluid mechanics - fluid statics, Bernoullis equation, flow
through pipes, equations of continuity and momentum; Thermodynamics - zeroth, first and
second laws of thermodynamics, thermodynamic system and processes, calculation of work and
heat for systems and control volumes; Heat transfer - fundamentals of conduction,
convection and radiation.
PRODUCTION ENGINEERING
Metal Casting: Casting processes; patterns - materials; allowances; moulds and cores
-materials, making and testing; melting and founding of cast iron, steels and nonferrous
metals and alloys; solidification; design of castings, gating and risering; casting
defects and inspection.
Metal Working: Stress-strain in elastic and plastic deformation; deformation mechanisms;
hot and cold working - forging, rolling, extrusion, wire and tube drawing; sheet metal
working -punching, blanking, bending, deep drawing, forming, coining and spinning;
analysis of rolling, forging, extrusion and wire/rod drawing; tool design and equipment
selection - forging and sheet metal cutting, bending and deep drawing; metal working
defects, high energy rate forming processes - explosive, magnetic, electro and
electrohydraulic.
Metal Joining Processes: Welding processes - gas, shielded metal arc, TIG, MIG, submerged
arc, electroslag, thermit, resistance, pressure and forge welding; thermal cutting; other
joining processes - soldering, brazing, braze welding; welding codes, welding symbols,
design of welded joints, defects and inspection; modern welding processes - friction,
ultrasonic, explosive, electron beam, laser and plasma.
Machining and Machine Tool Operations: Tool materials, geometry of cutting tools, cutting
fluids; turning, drilling, boring, milling, shaping, planing, sawing, gear cutting, thread
production, broaching, grinding; lapping, honing super finishing; selection of process
parameters; mechanics of cutting - Merchants analysis, cutting forces, power
requirements, tool wear and tool life, machinability; economics of machining;
nontraditional machining processes EDM, CHM, ECM, USM, LBM, EBM, AJM, PAM and WJM.
Metrology and Inspection: Limits and fits, linear and angular measurements by mechanical
and optical methods, comparators - mechanical, electrical, electronic and pneumatic;
design of limit gauges; interferometry; measurement of straightness, flatness, roundness,
squareness and symmetry; surface finish measurement; inspection of screw threads and
gears; alignment testing.
Processing of Plastics: Polymers and composites; injection, compression and blow moulding,
extrusion, calendaring and thermoforming; moulding of composites.
Powder Metallurgy: Production of powders, compaction, sintering.
Tool Engineering: Worksholding-location and clamping; principles and methods; design of
jigs and fixtures; design of press working tools.
Manufacturing Analysis: Sources of errors in manufacturing; process capability; part-print
analysis; tolerance analysis in manufacturing and assembly; process planning; parameter
selection and comparison of production alternatives; time and cost analysis.
Computer Integrated Manufacturing: Basics concepts of CAD, CAM, CAPP, Group technology, NC
CNC, DNC, FMS, Robotics and CIM.
INDUSTRIAL ENGINEERING
Product Engineering: Issues in choosing manufacturing technologies and strategies; product
life cycle; standardization, simplification, diversification, value analysis, concurrent
engineering.
Engineering Economy and Costing: Financial statements; elementary cost accounting, methods
of depreciation; break-even analysis, techniques for evaluation of capital investments.
Management of Production Systems: Functions of management; evolution of scientific
approaches to management; framework and methodologies of decision making; productivity
concepts and measurements.
Work Study: Methods study, principles of motion economy, ergonomics; work measurement -
time study, work sampling, PMTS; job evaluation, merit rating, wage incentive plans.
Facility Location and Layout: Facility location factors, evaluation of alternatives, types
of plant layout, evaluation; computer aided layout; assembly line balancing; material
handling systems.
Production Planning and Control: Forecasting techniques - casual and time series models,
moving average, exponential smoothing and regression methods; aggregate production
planning; master scheduling; order control and flow control; routing, scheduling and
priority dispatching; JIT; Kanban PULL systems; bottleneck scheduling and theory of
constraints.
Inventory Control: Function costs, classifications - deterministic and probabilistic
models; quantity discounts; safety stock; inventory control systems. M.R.P.
Operations Research: Linear programming - problem formulation, simplex method, duality and
sensitivity analysis; transportation; assignment; network flow models, constrained
optimization and Lagrange multipliers; simple queuing models; dynamic programming;
simulation; project management PERT and CPM, time-cost trade-off, resource leveling.
Quality Control: Quality costs, statistical quality assurance process control
charts, acceptance sampling, zero defects; quality circles, total quality management.
Reliability and Maintenance: Reliability, availability and maintainability; probabilistic
failure and repair times; system reliability; preventive maintenance and replacement.
Management Information systems: Value of information; information storage and retrieval
systems database and data structures; interactive systems; knowledge based systems.