**Objectives:** To familiarize the students with devices and circuit principles with special focus on applications related to instrumentations and measurements.

**Course Contents:**
Phase-lock loop and its application-Frequency multiplication-Analog multiplier and its applications –Log and Antilog amplifiers-Instrumentation amplifiers- Sensors and transducers- temperature, magnetic field, displacement, light intensity, force, etc.
Microcontroller-8051 family- programming and Interfacing, simple input-output, step motor control, DAC and ADC interfacing, 7-segment and LCD Display system- Digital gain control-analog multiplexers- PC based measurement system-IEEE an USB bus systems. LabView Programming.

**Special Lectures/demos: **

Telemetry, Noise reduction techniques, Frequency analysis, Familiarsing ORCAD, pSpice, VHDL, etc.

**Text Books:**

1. Linear Integrated Circuits, D.Roy Choudhury, Shail B.Jain,
Revised Second Edn., New Age International pvt. Ltd.,2003

2. Electronic Devices and Circuit Theory, R.L.Boylestad and L.Nashelsky,
Eighth Edn. Printice Hall, 2002

3. Op.Amps and Linear Integrated Circuits, Ramakant Gaikwad,
Fourth Edn. Printice Hall India, New Delhi, 2002

4. The 8051 Microcontroller, Architecture Programming & Applications, Kenneth J.Ayala,
Second Edn.

5. Microcontrollers: Theory and Applications, Ajay Deskmukh.

**Reference Books:**

1. Design with Micro controller, J.B.Peatman.

2. Programming and Customizing the 8051 Microcontroller, Myke Predko.

Approximation Methods and Errors: Truncation and round-off errors. Accuracy and precision

Roots of Equations: Bracketing Methods (false position. bisection) Iteration Methods (Newton- Raphson and secant). Systems of linear algebraic equations inversion and LU decompositon methods. Gauss elimination, matrix

Curve fitting: Least squares regression. Linear, multiple linear and nonlinear regressions. Cubic spline.

Interpolation Methods: interpolating polynomials. Newton's divided difference and Lagr'ange
Fourier approximation: Curve fitting with oscillatory functions Frequency and time domains.Discrete Fourier and Fast Fourier transforms
Numerical differentiation and integration: Divided difference method for differentiation. Newton-Cotes formula. Trapezoidal and Simpson's rules. Romberg and Gauss quadrature methods.

Ordinary differential equations: Euler's method and its modifications Runge-Kutta methods. Boundary value and Eigenvalue problems. Pariial differential equations: Finite diference equations. Elliptic equations. Laplace's equation and solutions. Parabolic equations. Solution of the heat conduction equation. Finite element method: General approach. Application to 1-dimensional and 2- dimensional problems.

Programming: Case studies in the form of problems on the topics covered in the course to be introduced as programs in suitable computer languages) for implementation on a PC.

1. Numerical Mathematical Analysis, J.B. Scarborough, John Hopkins (1966).

2. Introductory Methods of Numerical Analysis, S.S. Sastry, Prentice Hall of India (1983).

3. Numerical Methods for Engineering, S.C. Chapra and R.C. Canale, McGraw-Hill (1989).

4. Electromagnetics and Calculation of Fields, Nathan P-Ida and J.P.A Bastos, Springer-Verlag (1992).

5. M.K. Jain, S.R.K. Iyengar and R.K. Jain, Numerical Methods for Scientific and Engineering Computation, Wiley Eastern (1992).