APPLIED MATHEMATICS LTPC

Tags: Pearson Education, Oxford University Press, Basic Organization, properties, Pillai S., PROGRAMMING FUNDAMENTALS, C programming language, VRB Publishers, Dhanam Publications, SCITECH Publishers, chemical vapour deposition, pulsed laser deposition, Classification of Computers, New Age International, Solid State Physics, Metallic glasses, LINEAR DATA STRUCTURES, Hash Functions, concepts, Mark Allen Weiss, Dennis M. Ritchie, Thomas H. Cormen, C PROGRAMMING, Abstract Data Types, Brian W. Kernighan, Charles E. Leiserson, Function Pointers, applications, Conditional statements, Data Structures, Extendible Hashing, Insertion sort, Sorting algorithms, Shape memory alloys, APPLIED MATHEMATICS, ANNA UNIVERSITY, FUNCTIONS OF SEVERAL VARIABLES, Tata McGraw-Hill, Yashavant P. Kanetkar, Tata McGraw Hill, ANALYTIC FUNCTION, COURSE CODE, SEMESTER CURRICULUM, COMPUTER SCIENCE AND ENGINEERING, Eigenvalues and Eigenvectors, implicit functions, Partial differentiation, Residue theorem, Boolean functions, Byron S Gottfried, Analysis and Design, Michael D. Ciletti, DIGITAL PRINCIPLES, M. Morris Mano, COURSE TITLE Applied Mathematics Applied Physics Computer Programming Digital Principles, Engineering Physics, State Assignment, Programmable Array Logic, Sequential Circuits, Combinational Circuits, Sequential Logic Circuits, BPB Publications, ASYNCHRONOUS SEQUENTIAL LOGIC, Programmable Logic Array, Publishers
Content: ANNA UNIVERSITY, CHENNAI AFFILIATED INSTITUTIONS REGULATIONS 2014
I SEMESTER CURRICULUM AND SYLLABUS
B.E. Computer Science AND ENGINEERING (PART TIME)
SEMESTER I
S.NO
Course Code
THEORY
1.
*
2.
3.
4.
5.
COURSE TITLE Applied Mathematics Applied Physics Computer Programming Digital Principles and System Design Programming and Data Structures - I
LTPC 3 003 3 003 3 003 3 003 3 003 TOTAL 15 0 0 15
* The Course code will be provided shortly
1
APPLIED MATHEMATICS
LT P C 3003
OBJECTIVE: To facilitate the understanding of the principles and to cultivate the art of formulating physical problems in the language of mathematics.
UNIT I
MATRICES
9
Characteristic equation ­ Eigenvalues and Eigenvectors of a real matrix ­ Properties of eigenvalues
and eigenvectors ­ Cayley-Hamilton Theorem ­ Diagonalization of matrices - Reduction of a
quadratic form to canonical form by orthogonal transformation.
UNIT II FUNCTIONS OF SEVERAL VARIABLES
9
Partial derivatives ­ Homogeneous functions and Eulers theorem ­ Total derivative ­ Differentiation
of implicit functions ­ Change of variables ­ Jacobians ­ Partial differentiation of implicit functions ­
Taylors series for functions of two variables - Maxima and minima of functions of two variables.
UNIT III ANALYTIC FUNCTION
9
Analytic functions ­ Necessary and sufficient conditions for analyticity ­ Properties ­ Harmonic
conjugates ­ Construction of analytic function ­ Conformal Mapping ­ Mapping by functions w = a + z
, az, 1/z, - Bilinear transformation.
UNIT IV COMPLEX INTEGRATION
9
Line Integral ­ Cauchys theorem and integral formula ­ Taylors and Laurents Series ­ Singularities
­ Residues ­ Residue theorem ­ Application of Residue theorem for evaluation of real integrals ­ Use
of circular contour and semicircular contour with no pole on real axis.
UNIT V LAPLACE TRANSFORMS
9
Existence conditions ­ Transforms of elementary functions ­ Basic properties ­ Transforms of
derivatives and integrals ­Inverse transforms ­ Convolution theorem ­ Transform of periodic functions
­ Application to solution of linear ordinary differential equations with constant coefficients.
OUTCOMES:
TOTAL: 45 PERIODS
To develop the use of matrix algebra techniques this is needed by engineers for Practical Applications.
To familiarize the student with functions of several variables. This is needed in many branches of engineering.
To develop an understanding of the standard techniques of complex variable theory so as to enable the student to apply them with confidence, in application areas such as heat conduction, elasticity, Fluid Dynamics and flow the of electric current.
To make the student appreciate the purpose of using transforms to create a new domain in which it is easier to handle the problem that is being investigated.
text books: 1. Grewal B.S., "Higher Engineering mathematics", Khanna Publishers, Forty Second Edition, Delhi, 2012. 2. Ramana, B.V, "Higher Engineering Mathematics", Tata McGraw Hill Publishing Company, 2008.
2
REFERENCES: 1. Glyn James, "Advanced Modern Engineering Mathematics", Fouth Edition, Prentice Hall of India, 2011. 2. Veerarajan T., "Engineering Mathematics" (For First Year), Tata McGraw-Hill Pub. Pvt. Ltd., New Delhi, 2007.
APPLIED PHYSICS
LTPC
3 003
OBJECTIVE:
To enrich the understanding of various types of materials and their applications in engineering and
technology.
UNIT I
CONDUCTING MATERIALS
9
Conductors ­ classical free electron theory of metals ­ Electrical and thermal conductivity ­
Wiedemann ­ Franz law ­ Lorentz number ­ Draw backs of classical theory ­ Quantum theory ­
Fermi distribution function ­ Effect of temperature on Fermi Function ­ Density of energy states ­
carrier concentration in metals.
UNIT II
SEMICONDUCTING MATERIALS
9
Intrinsic semiconductor ­ carrier concentration derivation ­ Fermi level ­ Variation of Fermi level with
temperature ­ electrical conductivity ­ band gap determination ­ compound semiconductors -direct
and indirect band gap- derivation of carrier concentration in n-type and p-type semiconductor ­
variation of Fermi level with temperature and impurity concentration ­­ Hall effect ­Determination of
Hall coefficient ­ Applications.
UNIT III
MAGNETIC AND SUPERCONDUCTING MATERIALS
9
Origin of magnetic moment ­ Bohr magneton ­ comparison of Dia, Para and Ferro magnetism ­
Domain theory ­ Hysteresis ­ soft and hard magnetic materials ­ antiferromagnetic materials ­
Ferrites and its applications
Superconductivity : properties ­ Type I and Type II superconductors ­ BCS theory of
superconductivity(Qualitative) - High Tc superconductors ­ Applications of superconductors ­ SQUID,
cryotron, magnetic levitation.
UNIT IV DIELECTRIC MATERIALS
9
Electrical susceptibility ­ dielectric constant ­ electronic, ionic, orientational and space charge
polarization ­ frequency and temperature dependence of polarisation ­ internal field ­ Claussius ­
Mosotti relation (derivation) ­ dielectric loss ­ dielectric breakdown ­ uses of dielectric materials
(capacitor and transformer) ­ ferroelectricity and applications.
UNIT V ADVANCED ENGINEERING MATERIALS
9
Metallic glasses: preparation, properties and applications. Shape memory alloys (SMA):
Characteristics, properties of NiTi alloy, application, Nanomaterials­ Preparation -pulsed laser
deposition ­ chemical vapour deposition ­ Applications ­ NLO materials ­Birefringence- optical Kerr
effect ­ Classification of Biomaterials and its applications
TOTAL: 45 PERIODS
3
TEXT BOOKS: 1. Arumugam M, "Materials Science", Anuradha publishers, 2010 2. Pillai S. O, "Solid State Physics", New Age International(P) Ltd., Publishers, 2009 REFERENCES: 1. Palanisamy P.K, "Materials Science", SCITECH Publishers, 2011 2. Senthilkumar G, "Engineering Physics II", VRB Publishers, 2011 3. Mani P, "Engineering Physics II", Dhanam Publications, 2011 4. Marikani A, "Engineering Physics", PHI Learning Pvt., India, 2009
COMPUTER PROGRAMMING
L T PC 3 003
UNIT I
INTRODUCTION
8
Generation and Classification of Computers- Basic Organization of a Computer ­Number System ­
Binary ­ Decimal ­ Conversion ­ Problems. Need for logical analysis and thinking ­ Algorithm ­
Pseudo code ­ Flow Chart.
UNIT II C PROGRAMMING BASICS
10
Problem formulation ­ problem solving - Introduction to ,, C programming ­fundamentals ­ structure
of a ,,C program ­ compilation and linking processes ­ Constants, Variables ­ Data Types ­
Expressions using operators in ,,C ­ Managing Input and Output operations ­ Decision Making and
Branching ­ Looping statements ­ solving simple scientific and statistical problems.
UNIT III ARRAYS AND STRINGS
9
Arrays ­ Initialization ­ Declaration ­ One dimensional and Two dimensional arrays. String- String
operations ­ String Arrays. Simple programs- sorting- searching ­ matrix operations.
UNIT IV FUNCTIONS AND POINTERS
9
Function ­ definition of function ­ Declaration of function ­ Pass by value ­ Pass by reference ­
Recursion ­ Pointers - Definition ­ Initialization ­ Pointers arithmetic ­ Pointers and arrays- Example
Problems.
UNIT V STRUCTURES AND UNIONS
9
Introduction ­ need for structure data type ­ structure definition ­ Structure declaration ­ Structure
within a structure - Union - Programs using structures and Unions ­ Storage classes, Pre-processor
directives.
TOTAL: 45 PERIODS
TEXTBOOKS:
1. Anita Goel and Ajay Mittal, "Computer Fundamentals and Programming in C", Dorling Kindersley
(India) Pvt. Ltd., Pearson Education in South Asia, 2011.
2. Pradip Dey, Manas Ghosh, "Fundamentals of Computing and Programming in C", First Edition,
Oxford University Press, 2009
3. Yashavant P. Kanetkar. " Let Us C", BPB Publications, 2011.
4
REFERENCES: 1. Byron S Gottfried, "Programming with C", Schaums Outlines, Second Edition, Tata McGraw-Hill, 2006. 2. Dromey R.G., "How to Solve it by Computer", Pearson Education, Fourth Reprint, 2007. 3. Kernighan,B.W and Ritchie,D.M, "The C Programming language", Second Edition, Pearson Education, 2006.
DIGITAL PRINCIPLES AND SYSTEM DESIGN
LT P C
3003
OBJECTIVES:
Learn how to design digital circuits, by simplifying the Boolean functions. Also, gives an idea about
designs using PLDs, and writing codes for designing larger digital systems.
UNIT I
BOOLEAN ALGEBRA AND LOGIC GATES
9
Review of Number Systems ­ Arithmetic Operations ­ Binary Codes ­ Boolean Algebra and
Theorems ­ Boolean Functions ­ Simplification of Boolean Functions using Karnaugh Map and
Tabulation Methods ­ Logic Gates ­ NAND and NOR Implementations.
UNIT II
COMBINATIONAL LOGIC
9
Combinational Circuits ­ Analysis and design procedures ­ Circuits for Arithmetic Operations, Code
Conversion ­ Decoders and Encoders ­ Multiplexers and Demultiplexers ­ Introduction to HDL ­
HDL Models of Combinational circuits.
UNIT III
SYNCHRONOUS sequential logic
9
Sequential Circuits ­ Latches and Flip Flops ­ Analysis and Design Procedures ­ State Reduction
and State Assignment ­ Shift Registers ­ Counters ­ HDL for Sequential Logic Circuits.
UNIT IV
ASYNCHRONOUS SEQUENTIAL LOGIC
9
Analysis and Design of Asynchronous Sequential Circuits ­ Reduction of State and Flow Tables ­
Race-free State Assignment ­ Hazards.
UNIT V
MEMORY AND PROGRAMMABLE LOGIC
9
RAM and ROM ­ Memory Decoding ­ Error Detection and Correction ­ Programmable Logic Array ­
Programmable Array Logic ­ Sequential Programmable Devices ­ Application Specific Integrated
Circuits.
TOTAL: 45 PERIODS
TEXT BOOK: 1. M. Morris Mano and Michael D. Ciletti, "Digital Design", IV Edition, Pearson Education, 2008.
REFERENCES: 1. John F. Wakerly, "Digital design principles and Practices", Fourth Edition, Pearson Education, 2007. 2. Charles H. Roth Jr, "Fundamentals of Logic Design", Fifth Edition ­ Jaico Publishing House, Mumbai, 2003. 3. Donald D. Givone, "Digital Principles and Design", Tata McGraw Hill, 2003. 4. G. K. Kharate, "Digital Electronics", Oxford University Press, 2010.
5
PROGRAMMING AND DATA STRUCTURES I
LT P C 3003
AIM: The aim is to review the basics of C programming and to introduce the concepts of Data Structures.
OBJECTIVES: To introduce the basics of C programming language To introduce the concepts of ADTs To introduce the concepts of Hashing and Sorting
UNIT I
C PROGRAMMING FUNDAMENTALS - A REVIEW
9
Conditional statements ­ Control statements ­ Functions ­ Arrays ­ Preprocessor - Pointers -
Variation in pointer declarations ­ Function Pointers ­ Function with Variable number of arguments
UNIT II
C PROGRAMMING ADVANCED FEATURES
9
Structures and Unions - File handling concepts ­ File read ­ write ­ binary and Stdio - File
Manipulations
UNIT III
LINEAR DATA STRUCTURES ­ LIST
9
Abstract Data Types (ADTs) ­ List ADT ­ array-based implementation ­ linked list implementation ­­
singly linked lists- circularly linked lists- doubly-linked lists ­ applications of lists ­Polynomial
Manipulation ­ All operation (Insertion, Deletion, Merge, Traversal)
UNIT IV
LINEAR DATA STRUCTURES ­ STACKS, QUEUES
9
Stack ADT ­ Evaluating arithmetic expressions- other applications- Queue ADT ­ circular queue
implementation ­ Double ended Queues ­ applications of queues
UNIT V
SORTING, SEARCHING AND HASH TECHNIQUES
9
Sorting algorithms: Insertion sort - Selection sort - Shell sort - Bubble sort - Quick sort - Merge sort -
Radix sort ­ Searching: Linear search ­ Binary Search Hashing: Hash Functions ­ Separate
Chaining ­ Open Addressing ­ Rehashing ­ Extendible Hashing
TOTAL: 45 PERIODS TEXT BOOKS: 1. Brian W. Kernighan and Dennis M. Ritchie, "The C Programming Language", 2nd Edition, Pearson Education, 1988. 2. Mark Allen Weiss, "Data Structures and Algorithm Analysis in C", 2nd Edition, Pearson Education, 1997.
REFERENCES: 1. Thomas H. Cormen, Charles E. Leiserson, Ronald L.Rivest, Clifford Stein, "Introduction to Algorithms", Second Edition, Mc Graw Hill, 2002. 2. Reema Thareja, "Data Structures Using C", Oxford University Press, 2011 3. Aho, Hopcroft and Ullman, "Data Structures and Algorithms", Pearson Education,1983. 4. Stephen G. Kochan, "Programming in C", 3rd Edition, Pearson Ed.,
6

File: applied-mathematics-ltpc.pdf
Author: dell
Published: Thu Jan 30 11:54:36 2014
Pages: 6
File size: 0.15 Mb


Teacher's Guide, 32 pages, 1.1 Mb

For what it's worth, 7 pages, 0.14 Mb

WRITER'S STYLE GUIDE, 24 pages, 0.56 Mb

A Matter of Life or Death, 14 pages, 0.06 Mb

, pages, 0 Mb
Copyright © 2018 doc.uments.com