Solution of equations by iteration, Newton’s method, Secant method, interpolation, Numerical integration and differentiation
Gauss Siedel iteration method for solving a system of linear equations, Ruage Kutta Methods, Introductory Linear Programming, Introductory Programming
Probability, Random variables, Probability distribution, mean & variance of distribution, Binomial, Poisson, hyper-geometric and normal distributions
Random sampling, estimation of parameters, confidence intervals, Testing of hypothesis, acceptance sampling, correlation and regression
Chapter 17(17.1 – 17.3, 17.5), Chapter 18 (18.4), Chapter 19 (19.1), Chapter 20, Chapter 21, Chapter 22
This one semester Physics course is divided into four units. The unit – I deals with some aspects of nuclear physics, unit – II introduces certain features of condensed matter physics, unit – III deals with certain aspects of semiconductors and superconductors and unit – IV introduces Opto-electronic devices and fibre optic communication system.
This unit covers the basic principles and applications of different types of accelerators and their important applications. Detailed constructional features of accelerators are not necessary.
1. Need for nuclear accelerators.
2. D.C. Accelerator: Cockcroft – Walton, Van de Graff, Tandem accelerators.
3. RF accelerators: Linear accelerator, cyclotron, electron accelerator, betatron.
4. Application of nuclear accelerator – production of radioisotopes, radiation processing of materials, medical applications.
This unit deals with diffraction in crystals and its role in determining crystal structure. Study of crystal structure by diffraction methods, Bragg’s condition for crystal diffraction, Lau condition, Miller indices, Reciprocal lattice, Geometrical structure factor, Atomic form factor.
This unit deals with certain features of semiconductors and superconductors.
1. Energy bands in solids: Kronig – Penny model, allowed bands and forbidden gaps, elemental and compound semiconductors.
2. Superconductivity: Superconductors and their properties, Meisner effect, Type – I and Type – II Superconductors, Thermodynamics properties of superconductors, London equation, Application of superconductors.
This unit introduces some Opto – electronic devices and fibre – optic communication system. Laser: Principle of lasing, properties of Laser, construction and working of semiconductor laser, Application of laser. LED: Principle construction of operation and application, Introduction to fibre optics, basic characteristics of optical fibres, optical fibre communication system.
Database System Architecture – Data Abstraction, Data Independence, Data Definitions and Data Manipulations Languages.
Data models – Entity Relationship (ER), Mapping ER Model to Relational Model, Network. Relational and Object Oriented Data Models, Integrity Constraints and Data Manipulation Operations.
Relation Query Languages, Relational Algebra, Tuple and Domain Relational Calculus, SQL and QBE
Relational Database Design: Domain and Data dependency, Armstrong’s Axioms, Normal Forms, Dependency Presentation, Lossless design, Comparison of Oracle & DB2
Query Processing and Optimization: Evaluation of Relational Algebra Expressions, Query Equivalence, Join strategies, Query Optimization Algorithms.
Storage Strategies: Indices, B – Tree, Hashing, Transaction processing Recovery and Concurrency Control, Locking and Timestamp based Schedulers, Multiversion and Optimistic Concurrency Control Schemes.
Advanced topics: Object – Oriented and Object Relational database, Logical Database, Web Databases, Distributed Databases, Data Warehouse and Data Mining.
The Study of Organizational Behaviour: Learning objectives, Definition and Meaning, Why Study OB, An OB Model, New Challenges for OB Manager.
Learning – Nature of Learning, How Learning occurs, Learning and OB.
Case Analysis
Foundations of Individual Behaviour: Personality – Meaning and Definition, Determinants of Personality, Personality Traits, Personality and OB.
Perception – Meaning and Definition, Perceptual Process, Importance of Perception in OB, Motivation – Nature and Importance, Hertzberg’s Two Factor Theory, Maslow’s Need Hierarchy Theory, Alderfer’s ERG Theory, Evaluations.
Case Analysis
Organizational Behaviour Process: Communication – Importance, Types, Gateways and Barriers to Communication, Communication as a tool for improving Interpersonal Effectiveness. Groups in Organizations – Nature, Types, Why do people join groups, Group Cohesiveness and Group Decision – making Managerial Implications, Effective Team Building, Leadership – Leadership & Management, Theories of Leadership – Trait theory, Leader Behaviour theory, Contingency Theory, Leadership and Followership, How to be an effective Leader, Conflict – Nature of Conflict and Conflict Resolution.
An Introduction to Transactional Analysis (TA).
Organization: Organizational Culture – Meaning and Definition, Culture and Organizational Effectiveness. Introduction to Human Resource Management – Selection, Orientation, Training and Development, Performance Appraisal, Incentives, Organizational Change – Importance of Change, Planned Change and OB techniques. International Organizational Behaviour – Trends in International Business, Cultural Differences and Similarities, Individual and Interpersonal Behaviour in Global Perspective.
Case Analysis
Number System and Codes
Binary Number base Conversations, Octal and Hexadecimal numbers, Complements, Signed Binary Numbers, Binary Codes – BCD Codes, Gray Code, ASCII Character Code, Codes for serial data transmission and storage.
Boolean Algebra and Logic Gates
Axiomatic definition of Boolean algebra, Basic theorems and properties of Boolean algebra, Boolean functions; Canonic and Standard forms; minterms and maxterms standard forms; minterms and maxterms, standard forms Digital Log Gates, multiple inputs.
Gate Level Minimization
The Map Method, K Maps, input five variables, Product of Sums Simplification, Don’t care conditions, NAND and NOR implementation. AND – OR invent, OR – AND invent implementation, Ex – OR function, Parity generation and checking. Hardware Description Language (HDL).
Combinational Logic
Combinational Circuits, Analysis and Design Procedure; Binary Adder – Sub factor, Decimal Adder, Binary Multiplier, Magnitude Comparator, Decoders, Encoders, Multipliers, HDL for Combinational Circuits.
Synchronous Sequential Logic
Sequential Circuit, Latches, Flip – flop, Analysis of Clocked sequential Circuits, HDL for Sequential Circuits, State Reduction and Assignment. Design Procedure.
Registers and Counters
Shift Register, Ripple Counters, Synchronous Counters Asynchronous Counter, Ring Counters, Modulo – N Counters, HDL for Registers and Counters.
Memory and Programmable Logic
Random Access Memory (RAM), Memory Decoding, Error detection and Correction, Read only Memory, Programmable Array Logic, Sequential Programmable Devices.
Register Transfer Levels
Register transfer level notion, Register transfer level in HDL, Algorithm, State Machine, Design Examples, HDL Description of Design, Examples, Binary Multiplier, HDL, Description of Binary Multiplier.
Digital Integrated Logic Circuits
RTL, DTL, TTL, ECL, MOS and CMOS logic circuits, Switch – lever – Modeling with HDL
Topological description of networks; Reviews of mesh and nodal analysis, Reciprocity & Millman’s theorem, Maximum power transfer theorem.
Q factor, Bandwidth and Selectivity in Series & parallel resonance Circuits.
Coupled Circuits: Dot Convention for representing coupled circuits Transiet study in RLC networks by Laplace transform method with DC and AC excitation.
Response to step, impulse and ramp inputs S – domain circuits
Two Port networks: Z, Y, h & ABCD representation of T and TT2 – port networks both in transmission parameters T – TT networks, 2 port network, Cascade and Parallel Connections.
Image and iterative impedances.
Network Functions & Responses:
Concept of complex frequency, driving point and transfer functions for one and two network, poles & zeros of network functions, Restriction of Pole and Zero locations of network function. Impulse and complete response. Time domain bahaviour form pole – zero plot.
Filters: Design of low pass, high pass, band pass & band elimination filters. Active filters. Input Power, Power Transfer and Insertion loss. Problems in Optimizing power transfer; Insertion loss.
Fourier Series & Fourier Transforms: Fourier Series representation of non sinusoidal waves. Discrete spectra, rms values of non sinusoidal waves, Steady state response of linear circuits to non sinusoidal waves, power in such circuits. Fourier Internal and Fourier transform of signum and step functions. Application of RL and RC circuits.
Network Synthesis:
Driving point functions, properties of positive real function.
Foster’s reactance Theorem, Synthesis of LC, RC and RL networks by Cauer – I, Cauer – II, Foster – I & II forms. Synthesis of active filters – Bullerworth and Chebyshev Techniques.