Class: B. Sc (Information technology)




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Unit-I

Errors, Solutions of Algebraic and Transcendental Equations using - Bisection Method, the Method of False Position, Newton-Raphson Method. Interpolation: Interpolation: - Forward Difference, Backward Difference, Newton’s Forward Difference Interpolation, Newton’s Backward Difference Interpolation, Lagrange’s Interpolation.







Unit-II

Solution of simultaneous algebraic equations (linear) using iterative methods: Gauss-Jordan Method, Gauss-Seidel Method. Numerical Integration: Trapezoidal Rule, Simpson’s 1/3 rd and 3/8 th rules. Numerical solution of 1st and 2nd order differential equations: - Taylor series, Euler’s Method, Modified Euler’s Method, Runge-Kutta Method for 1st and 2nd Order Differential Equations.







Unit-III

Random variables: Discrete and Continuous random variables, Probability density function, Probability  distribution of random variables, Expected value, Variance.

Moments and moment generating functions: Relation between Raw moments and Central     moments.

Distributions: Binomial, Poisson, Normal, exponential, uniform distributions for detailed study, Central Limit theorem (statement only) and problems based on this theorem.







Unit-IV

Fitting of curves: Least square method, Fitting the straight line and  parabolic  curve, Correlation, Covariance, Karl Pearson’s coefficient and Spearman’ s Rank, correlation coefficient, Regression coefficients and lines of regression. 







Unit-V

Sampling distribution: Test of Hypothesis, Level of Significance, Critical Region, One Tailed and Two Tailed Test, Interval Estimation of Population Parameters, Test of Significance for large Samples and small Samples, Student’s ‘t’ Distribution and its properties.







Unit-VI

Chi-Square Distribution and its properties, Test of the Goodness of Fit and Independence of Attributes, Contingency Table, Yates Correction 

Mathematical Programming: Linear optimization problem, Formulation and Graphical solution, Basic solution and Feasible solution, Primal Simplex Method. 


Books:

Introductory Methods of Numerical Methods, Vol-2, S.S.Shastri, PHI

Fundamentals of Mathematical Statistics, S.C.Gupta, V.K.Kapoor






Reference:

Elements of Applied Mathematics,  Volume 1 and 2, P.N.Wartikar and J.N.Wartikar, A. V. Griha, Pune

Engineering Mathematics, Vol-2, S.S.Shastri, PHI

Applied Numerical Methods for Engineers using SCILAB and C, Robert J.Schilling and Sandra L.Harris, ” , Thomson Brooks/Cole

Term Work: Should contain at least 6 assignments (one per unit) covering the syllabus.






Practical List to be performed in Scilab:

  1. Practical 1: Solution of algebraic and transcendental equations:

    1. Program to solve algebraic and transcendental equation by bisection method.

    2. Program to solve algebraic and transcendental equation by false position method.

    3. Program to solve algebraic and transcendental equation by Newton Raphson method.

  2. Practical 2: Interpolation

    1. Program for Newton’s forward interpolation.

    2. Program for Newton’s backward interpolation.

    3. Program for Lagrange’s interpolation.

  3. Practical 3: Solving linear system of equations by iterative methods:

    1. Program for solving linear system of equations using Gauss Jordan methods.

    2. Program for solving linear system of equations using Gauss Seidel methods.

  4. Practical 4: Numerical Integration

    1. Program for numerical integration using Trapezoidal rule.

    2. Program for numerical integration using Simpson’s 1/3rd rule.

    3. Program for numerical integration using Simpson’s 3/8th rule.

  5. Practical 5: Solution of differential equations:

    1. Program to solve differential equation using Euler’s method

    2. Program to solve differential equation using modified Euler’s method.

    3. Program to solve differential equation using Runge-kutta 2nd order and 4th order methods.

  6. Practical 6: Random number generation and distributions

    1. Program for random number generation using various techniques.

    2. Program for fitting of Binomial Distribution.

    3. Program for fitting of Poisson Distribution.

    4. Program for fitting of Negative Binomial Distribution.

  7. Practical 7: Moments, Correlation and Regression

    1. Computation of raw and central moments, and measures of skewness and kurtosis.

    2. Computation of correlation coefficient and Fitting of lines of Regression ( Raw and Frequency data )

    3. Spearman’s rank correlation coefficient.

  8. Practical 8: Fitting of straight lines and second degree curves

    1. Curve fitting by Principle of least squares. ( Fitting of a straight line, Second degree curve)

  9. Practical 9: Sampling:

    1. Model sampling from Binomial and Poisson Populations.

    2. Model sampling from Uniform, Normal and Exponential Populations.

    3. Large sample tests-( Single mean, difference between means, single proportion, difference between proportions, difference between standard deviations.)

    4. Tests based on students ‘t-test’( Single mean, difference between means and paired ‘t’)

  10. Practical 10: Chi-square test and LPP

    1. Test based on Chi-square- Distribution ( Test for variance, goodness of Fit,)

    2. Chi-square test of independence of attributes.

    3. Solution of LPP by Simplex method.





CLASS: B. Sc (Information technology)


Semester – IV

COURSE: Embedded Systems

Periods per week

1 Period is 50 minutes

Lecture

5

TW/Tutorial/Practical

3










Hours

Marks

Evaluation System

Theory Examination

3

100

TW/Tutorial/Practical

--

50



















Unit-I

Introduction: Embedded Systems and general purpose computer systems, history , classifications, applications and purpose of embedded systems

Core of embedded systems: microprocessors and microcontrollers, RISC and CISC controllers, Big endian and Little endian processors, Application specific ICs, Programmable logic devices, COTS, sensors and actuators, communication interface, embedded firmware, other system components, PCB and passive components.







Unit-II

Characteristics and quality attributes of embedded systems: characteristics, operational and non-operational quality attributes, application specific embedded system – washing machine, domain specific - automotive.







Unit-III

Programming embedded systems: structure of embedded program, infinite loop, compiling , linking and locating, downloading and debugging







Unit-IV

Embedded Hardware: Memory map, i/o map, interrupt map, processor family, external peripherals, memory – RAM , ROM, types of RAM and ROM, memory testing, CRC ,Flash memory







Unit-V

Peripherals: Control and Status Registers, Device Driver, Timer Driver- Watchdog Timers, Embedded Operating System, Real-Time Characteristics, Selection Process







Unit-VI

Design and Development: embedded system development environment – IDE, types of file generated on cross compilation, disassembler/ decompiler, simulator , emulator and debugging , embedded product development life-cycle, trends in embedded industry.


Books:

Programming Embedded Systems in C and C++, First Edition January, Michael Barr ,O'Reilly

Introduction to embedded systems, Shibu K V, TATAMCGRAW-HILL.





References:

Embedded Systems, Rajkamal, TATAMCGRAW-HILL

Term Work: Should contain at least 6 assignments (one per unit) covering the syllabus.


Tutorial: At least three tutorials based on above syllabus must be conducted.





Practical List:

  1. Configure timer control registers of 8051 and develop a program to generate given time delay.

  2. Port I / O: Use one of the four ports of 8051 for O/P interfaced to eight LED’s. Simulate binary counter (8 bit) on LED’s

  3. Serial I / O: Configure 8051 serial port for asynchronous serial communication with serial port of PC exchange text messages to PC and display on PC screen. Signify end of message by carriage return.

  4. Interface 8051 with D/A converter and generate square wave of given frequency on oscilloscope.

  5. Interface 8051 with D/A converter and generate triangular wave of given frequency on oscilloscope.

  6. Using D/A converter generate sine wave on oscilloscope with the help of lookup table stored in data area of 8051.

  7. Interface stepper motor with 8051 and write a program to move the motor through a given angle in clock wise or counter clock wise direction.

  8. Generate traffic signal.

  9. Temperature controller.

  10. Elevator control.
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