**Course – computer graphics and multimedia application**

UNIT-I

Introduction: The Advantages of Interactive Graphics, Representative Uses of Computer

Graphics, Classification of Application Development of Hardware and software for Computer Graphics,

Conceptual Framework for Interactive Graphics, Overview, Scan: Converting Lines, Scan Converting Circles,

Scan Converting Ellipses.

UNIT-II

Hardcopy Technologies, Display Technologies, Raster-Scan Display System, Video

Controller, Random-Scan Display processor, Input Devices for Operator Interaction, Image Scanners and

Working exposure on graphics tools like Dream Weaver, 3D Effects etc,

Clipping

Southland- Cohen Algorithm, Cyrus-Beck Algorithm, Midpoint Subdivision Algorithm

UNIT-III

Geometrical Transformation

2D Transformation, Homogeneous Coordinates and Matrix Representation of 2D

Transformations, composition of 2D Transformations, the Window-to-Viewport

Transformations, Introduction to 3D Transformations Matrix.

UNIT-IV

Representing Curves & Surfaces

Polygon meshes parametric, Cubic Curves, Quadric Surface;

Solid Modelling

Representing Solids, Regularized Boolean Set Operation primitive Instancing Sweep

Representations, Boundary Representations, Spatial Partitioning Representations,

Constructive Solid Geometry Comparison of Representations.

UNIT-V

Introductory Concepts: Multimedia Definition, CD-ROM and the multimedia highway, Computer Animation

(Design, types of animation, using different functions)

UNIT-VI

Uses of Multimedia, Introduction to making multimedia – The stage of Project, hardware & software

requirements to make good multimedia skills and Training opportunities in Multimedia Motivation for

Multimedia usage

UNIT-I

Introduction, What is an operating system, Simple Batch Systems, Multi-programmed Batch systems, Time-

Sharing Systems, Personal – Computer Systems, Parallel systems, Distributed systems, Real- Time Systems.

Memory Management: Background, Logical versus physical Address space, swapping, Contiguous allocation,

Paging, Segmentation

Virtual Memory: Demand Paging, Page Replacement, Page- replacement Algorithms, Performance of Demand

Paging, Allocation of Frames, Thrashing, Other Considerations

UNIT-II

Processes: Process Concept, Process Scheduling, Operation on Processes

CPU Scheduling: Basic Concepts, Scheduling Criteria, Scheduling Algorithms, Multiple – Processor

Scheduling.

Process Synchronization: Background, The Critical – Section Problem, Synchronization Hardware,

Semaphores, Classical Problems of Synchronization

UNIT-III

Deadlocks: System Model, Deadlock Characterization, Methods for Handling Deadlocks, Deadlock prevention,

Deadlock Avoidance, Deadlock Detection, Recovery from Deadlock

UNIT-IV

Device Management: Techniques for Device Management, Dedicated Devices, Shared Devices, Virtual

Devices; Input or Output Devices, Storage Devices, Buffering, Secondary Storage Structure: Disk Structure,

Disk Scheduling, Disk Management, Swap- Space Management, Disk Reliability

UNIT-V

Information Management: Introduction, A Simple File system, General Model of a File System, Symbolic

File System, Basic File System, Access Control Verification, Logical File System, Physical File system File –

System Interface; File Concept, Access Methods, Directory Structure, Protection, Consistency Semantics File –

System Implementation: File – System Structure, Allocation Methods, Free- Space Management

**Course – software Engineering**

UNIT-I

Software Engineering: Definition and paradigms, a generic view of software engineering.

UNIT-II

Requirements Analysis: Statement of system scope, isolation of top level processes and entities and their

allocation to physical elements, refinement and review.

Analyzing a problem, creating a software specification document, review for correctness, consistency, and

completeness.

UNIT-III

Designing Software Solutions: Refining the software Specification; Application of fundamental design

concept for data, architectural and procedural designs using software blue print methodology and object

oriented design paradigm; Creating design document: Review of conformance to software requirements and

quality.

UNIT-IV

Software Implementation: Relationship between design and implementation, Implementation issues and

programming support environment, Coding the procedural design, Good coding style and review of correctness

and readability.

UNIT-V

Software Maintenance: Maintenance as part of software evaluation, reasons for maintenance, types of

maintenance (Perceptive, adaptive, corrective), designing for maintainability, techniques for maintenance.

UNIT-VI

Comprehensive examples using available software platforms/case tools, Configuration Management.

**Course – optimization Techniques**

UNIT-I

Linear programming

Central Problem of linear Programming ,various definitions including Statements of basic theorem and also

their properties, simplex methods, primal and dual simplex method, transport problem, tic-tac problem, and its

solution. Assignment problem and its solution. Graphical Method Formulation, Linear Programming Problem.

UNIT-II

Queuing Theory

Characteristics of queuing system, Classification of Queuing Model Single Channel Queuing Theory,

Generalization of steady state M/M/1 queuing models (Model-I, Model-II).

UNIT-III

Replacement Theory

Replacement of item that deteriorates replacement of items that fail. Group replacement and individual

replacement.

UNIT-IV

Inventory Theory

Cost involved in inventory problem- single item deterministic model economics, long size model without

shortage and with shortage, having production rate infinite and finite.

UNIT-V

Job Sequencing

Introduction, solution of sequencing problem ,Johnson s algorithm for n jobs through 2 machines

**Course – Mathematics iii**

UNIT-I

COMPLEX VARIABLES: Complex Number System, Algebra of Complex Numbers, Polar Form, Powers and

Roots, Functions of Complex Variables, Elementary Functions, Inverse Trigonometric Function.

UNIT-II

SEQUENCE, SERIES AND CONVERGENCE: Sequence, Finite and Infinite Sequences, Monotonic

Sequence, Bounded Sequence, Limit of a Sequence, Convergence of a Sequence, Series, Partial Sums,

Convergent Series, Theorems on Convergence of Series (statement, alternating series, conditional convergent),

Leibnitz Test, Limit Comparison Test, Ratio Test, Cauchy’s Root Test, Convergence of Binomial and

Logarithmic Series, Raabe’s Test, Logarithmic Test, Cauchy’s Integral Test (without proof)

UNIT-III

VECTOR CALCULUS: Differentiation of Vectors, Scalar and Vector Fields, Gradient, Directional

Derivatives, Divergence and Curl and their Physical Meaning.

UNIT-IV

FOURIER SERIES: Periodic Functions, Fourier series, Fourier Series of Even and Odd Functions, Half Range

Series.

UNIT-V

ORDINARY DIFFERENTIAL EQUATIONS OF FIRST ORDER: Variable- Separable Method,

Homogeneous Differential Equations, Exact Differential Equations, Linear Differential Equations, Bernoulli’s

Differential Equations, Differential Equations of First Order and First Degree by Integrating Factor.

UNIT-VI

ORDINARY DIFFERENTIAL EQUATIONS OF SECOND ORDER: Homogenous Differential Equations

with Constant Coefficients, Cases of Complex Roots and Repeated Roots, Differential Operator, Solutions by

Methods of Direct Formulae for Particular Integrals, Solution by Undetermined Coefficients, Cauchy

Differential Equations, (only Real and Distinct Roots) Operator Method for Finding Particular Integrals, (Direct

Formulae).

Reference Book