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Course Objectives: 1. To provide knowledge of Laplace transform of elementary functions including its properties and applications to solve ordinary differential equations. 2. To have thorough knowledge of partial differential equations which arise in mathematical descriptions of situations in engineering. 3. To study about a quantity that may take any of a given range of values that can’t be predicted as it is but can be described in terms of their probability. 4. To provide a thorough understanding of interpolation and methods to solve ordinary differential equation. Chhattisgarh Swami Vivekananda Technical University, Bhilai Semester: B.Tech – 3 rd Branch: All branches Subject: Mathematics - III Total Marks in End Semester Exam: 100 L: 3 T: 1 P: 0 Credits 4 Minimum number of Class Tests: 02 UNIT-I Laplace transform: Definition, Transform of elementary functions, Properties of Laplace transform, Transform of derivatives & integrals, Multiplication by tn , Division by t, Evaluation of integrals, Inverse Laplace Transform, Convolution theorem, Unit step function, Unit impulse function, Periodic function, Application to solution of ordinary differential equations. UNIT- II Partial differential equation: Formation, Solution by direct integration method, Linear equation of first order, Homogeneous linear equation with constant coefficients, Non- homogeneous linear equations, Method of separation of variables. UNIT- III Random variable: Discrete and continuous probability distributions, Mathematical expectation, Mean and Variance, Moments, Moment generating function, probability distribution, Binomial, Poisson and Normal distributions. UNIT- IV Interpolation with equal and unequal intervals: Finite differences, Newton’s Forward & Backward Difference Formulae, Central Difference Formula, Stirling’s Formula, Bessel’s Formula, Lagrange’s Formula and Newton’s Divided Difference Formula. UNIT-V Numerical Solution of Ordinary Differential Equations: Picard’s Method, Taylor’s Series Method, Euler’s Method, Euler’s Modified Method, Runge-Kutta Methods, Predictor-corrector Methods- Milne’s Method, Adams-Bashforth Method. Text Books: 1. “Higher Engg. Mathematics”, Dr. B.S. Grewal– Khanna Publishers. 2. “Advanced Engg. Mathematics” , Erwin Kreyszig – John Wiley & Sons. 3. “Numerical Methods in Engineering and Science” , Dr. B.S. Grewal, Khanna Publishers. 4. “Numerical Methods for Scientific and Engineering Computation” , M .K. Jain, S. R. K Reference Books: 1. “Applied Mathematics”, P. N. Wartikar& J. N. Wartikar. Vol-II Pune Vidyarthi Griha Prakashan, Pune. 2. “Applied Mathematics for Engineers & Physicists”, Louis A. Pipes- TMH. 3. “Numerical Methods for Scientists and Engineers” K. Shankar Rao, Prentice Hall of India. 4. “Numerical Methods” P. Kandasamy, K. Thilagavathy and K. Gunavathi, S. Chand publication. Course outcomes: After studying the contents of the syllabus in detail the students will be able to: Define (mathematically) unit step unit impulse, Laplace transform its properties, inverse and applications to solve ordinary differential equations and find Numerical solution of differential equations, which may be arising due to mathematical modelling based on engineering problems. Hands on these Mathematical topics will make them equipped to prepare for higher studies through competitive examinations. Course Code:B000311(014)
Chhattisgarh Swami Vivekananda Technical University, Bhilai Name of program: Bachelor of Technology Branch: Information Technology Semester: III Subject: Computer Architecture, Organization Total Theory Periods: 40 and Microprocessor Total Tutorial Periods:10 Assignments: Two (Minimum) Maximum Marks: 100 Class Tests: Two (Minimum) Minimum Marks: 35 Course Objectives: ➢ To have a thorough understanding of the basic structure and operation of a digital computer. ➢ To discuss in detail the operation of the arithmetic unit including the algorithms & implementation of fixedpoint and floating-point addition, subtraction, multiplication & division. ➢ To study the different ways of communicating with I/O devices and standard I/O interfaces. ➢ To study the hierarchical memory system including cache memories and virtual memory. ➢ To introduce the basic concepts of microprocessor & assembly language programming. UNIT 1: COMPUTER ARCHITECTURE BASICS Computer Organization &Architecture, Interconnection Structure & Buses, Registers, Addressing Modes, Instruction, Instruction format, how to write a program in computer – how to write a program using various instruction format, Instruction Cycle, Stack in a computer – Register Stack, Memory Stack Organization, Pipelining – Need of Pipelining, Speed up, Efficiency & Throughput of Pipelining, Interrupt Basics. Control Unit of a Computer -: Need of Control Unit, Function, Operation, μ Programmed control unit, Vertical & Horizontal μ instruction format. Logic and Shift micro-operations, Arithmetic logic shift unit. UNIT 2: ARITHMETIC PROCESSOR DESIGN Fixed-Point Arithmetic- Addition and Subtraction: addition andsubtraction with Signed- Magnitude Data, Hardware Implementation, Hardware Algorithm, addition and subtractionwith Signed- 2’s Complement Data. Multiplication Algorithm: Hardware Implementation, Hardware Algorithm,Binary Multiplication, Booth Multiplication Algorithm, Division Algorithm, Floating-Point Arithmetic Operations:Basic Considerations, Register Configuration, Addition, subtraction, Multiplication & Division. UNIT 3:8086 PROCESSOR Basic processor architecture with diagram 8086 Processor - 8086 basic block diagram, Internal MicroprocessorArchitecture, Real Mode Memory Addressing, Registers, pin configuration, segmentation. Instruction Set: Data Movement Instructions, All Arithmetic and Logic Instructions, Basic Logic Instructions, Program Control Instructions, Procedures, Interrupts, Machine Control and MiscellaneousInstructions. Assembler directives, assembler instructions, Programming with 8086. UNIT 4 : PROGRAMMING WITH 8086 PROCESSOR Programming with an assembler, Assembly Language Programs, Introduction to Stack, Stack structure of 8086/8088, Interrupts & Interrupt service routines, Interrupt cycle of 8086 & 8088, Maskable&Nonmaskable Interrupts, Interrupt Programming, Passing Parameters to Procedures, MACR OS, Timing & Delays. UNIT 5 MEMORY & I/O SUBSYSTEM FOR A COMPUTER SemiconductorMemories- RAM and ROM Chips, Memory Address Mapping, Memory connected to CPU, Virtual memory: address space, memory space, address mapping, paging and segmentation, TLB, page fault, effective access time, replacement algorithm, Cache memory, Cache Mapping Methods, Cache memory working principles, Cache coherence issues I/O Interfacing, I/O Addressing, I/O instruction, Asynchronous methods- Strobe and Handshaking, Programmed I/O, Interrupt Mechanism, DMA. Code: B033312(033)

Chhattisgarh Swami Vivekananda Technical University, Bhilai Name of program: Bachelor of Technology Branch: Information Technology Semester: III Subject: Object Oriented Concepts & Total Theory Periods: 40 Programming using JAVA Total Tutorial Periods: 10 Assignments: Two (Minimum) Maximum Marks: 100 Class Tests: Two (Minimum) Minimum Marks: 35 Course Objectives: ➢ Define object-oriented paradigm, compilation and execution of Java programs. ➢ Apply Java's object-oriented features to build applications. ➢ Use exception handling mechanism. ➢ Explain process of multithreading and File Handling. ➢ Demonstrate data retrieval from a database with JDBC and development of platform- independent GUIs. UNIT- I :INTRODUCTION History of Java, Features of Java, comparison between procedural programming paradigm and object- oriented programming paradigm, basic concepts of object-oriented programming — concepts of an object and a class, abstraction, encapsulation, data hiding, inheritance, polymorphism, messaging. Java program Compilation and Execution, JVM, data types, variables, literals, expressions, operators, programming constructs,Classes, Objects and References, "this" keyword, Methods, overloading method, static keyword, Access specifiers, Arrays, Command line arguments. Garbage Collection UNIT-II:CONSTRUCTORS, INHERITANCE AND PACKAGES Constructors and finalizers, overloading constructors, Inner classes, Wrapper Classes, Inheritance; definition and advantages, overriding, Super, final and abstract classes, Interface, Package: Defining package, interfaces in package, importing packages. UNIT- III:EXCEPTION HANDLING, STRINGS Basics of exception handling, Checked and Unchecked Exceptions, default Exception handling, try and catch, Multiple catch statements, try-catch finally, uses of throw and throws, User Defined Exceptions, Strings: string constructor, string arithmetic, string methods, StringBuffer and methods. UNIT-IV :MULTI THREADING AND FILE HANDLING Thread Concepts, Thread life cycle, Runnable Vs Thread Class, Thread Priority, Thread Methods, Thread Synchronization:Synchronized methods & Synchronized blocks. File Handling using Java, Streams, Byte and Character Streams, Various operations with files. UNIT-V :GUI APPLICATION AND APPLET DEVELOPMENT Overview of AWT , applets and application, applet life cycle, User interfacing components, Layout Managers, Event Driven programming in java, Event delegation model, Event types and classes, Listeners, Overview of Swing Components. Introduction to JDBC, ODBC, JDBC drivers: Type I, Type II, Type III, Type IV. JDBC Architecture, executing DDL, DML,DCL commands. TEXT BOOKS: 1. Introduction to Java Programming: Liang, Pearson Education, 7 th Edition. 2. Java The complete reference: Herbert Schildt, TMH, 5 th Edition. REFERENCE BOOKS: 1. Balguruswamy, Programming with JAVA, TMH. 2. “Head first Java” by Kathy Sierra, Bert Bates , O'Reilly Media Publication. 3. Big Java: Horstman, Willey India, 2 nd Edition. 4. Java Programming Advanced Topics: Wigglesworth, Cengage Learning. 5. Java How to Program: H.M. Deitel& Paul J. Deitel, PHI, 8 th Edition. Course Outcomes: • To construct Java programs using features of Object oriented programming. • Able to explain object and package construction process. • To construct robust Java programs using exception handling and String class. • To develop java programs using multithreading and File Handling • To design and develop application programs using UI components and Database connectivity. Code: B033313(033)

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