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Syllabus
NMCP
Numerical Methods & Computer Programming (Syllabus)
Numerical Methods & Computer Programming
Unit 01 : Numerical Computations, Errors and Concept of root of equation (6hrs)
A) Basic principle of numerical computation. Floating point algebra with normalized floating point
technique, Significant digits. Errors: Different types of errors, causes of occurrence and remedies to
minimize them, Generalized error formula (Derivation and Numerical )
B) Concept of roots of an equation. Descartes’ rule of signs, Intermediate value theorem, Roots of
Polynomial Equations using Birge-Vieta method.
Unit 02: Solution of Transcendental and polynomial equation and Curve Fitting: (6hrs)
A) Solution of Transcendental and polynomial equation using Bisection, Regula- Falsi, Newton-Raphson
method for single variable and two variables.
B) Curve fitting using least square approximation – First order and second order
Unit 03: Interpolation (6hrs)
Forward, Backward, Central and Divided Difference operators, Introduction to interpolation.
A)Interpolation with equal Intervals - Newton’s forward, backward interpolation formula (Derivations
and numerical), Stirling’s and Bessel’s central difference formula (Only numericals)
B) Interpolation with unequal Intervals- Newton’s divided difference formula and Lagrange’s
interpolation (Derivations and numerical).
Unit 04: Numerical Differentiation and Integration (6hrs)
A) Numerical Differentiation using Newton’s forward and backward interpolation formula (Derivation
and numerical).
B) Numerical Integration: Trapezoidal and Simpson’s rules as special cases of Newton-Cote’s
quadrature technique for single integral. Numerical on double integrals using Trapezoidal and Simpson’s
1/3 rd rule.
Unit 05:Solution of linear simultaneous equation (6hrs)
A) Solution of linear simultaneous equation: Direct methods - Gauss elimination method, concept of
pivoting – partial and complete. Gauss Jordan method, Iterative methods – Jacobi method and Gauss
Seidel method.
B)Matrix Inversion using Gauss Jordan method
Unit 06: Solution of Ordinary Differential Equation(ODE) (6hrs)
A) Solution of First order Ordinary Differential Equation (ODE) using Taylor’s series method, Euler’s
method, Modified Euler’s method (Derivation and numerical). Runge-Kutta fourth order method
(Numerical).
B)Solution of Second order ODE using 4th order Runge-Kutta method (Numerical)
EM1
Electrical Machines - I (Syllabus)
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NA
Network Analysis (Syllabus)
Unit 1 Types of Network, Mesh and Nodal analysis
Lumped and Distributed, Linear and Nonlinear, Bilateral and Unilateral, Time-variant and Time-
invariant. Independent and Dependent (controlled) voltage and current sources. Concept of
voltage and current divider, Source transformation and shifting. Network Equations: Network
equations on Loop basis and Node basis, choice between Loop analysis and Nodal analysis.
Concept of super node and super mesh, mutual inductance, Dot convention for coupled circuits,
Concept of duality and dual networks.
Unit 2: Network Theorem
Superposition, Thevenin, Norton, Maximum Power Transfer Theorem, Reciprocity, Millman
theorems applied to electrical networks with all types of sources.
Graph Theory : Tree ,Co-tree, Incidence matrix ,F-cutest Matrix, Tie set B Matrix
Unit 3: Transients in RLC circuit
Solutions of differential equations and network equations using classical method for R-L, R-C
and R-L-C circuits, Initial and Final Condition (series and parallel).
Unit 4: Laplace Transform
Basic Properties of Laplace Transform, Laplace Transform of Basic R, L and C components,
Solutions of differential equations and network equations using Laplace transform method for
RL, R-C and R-L-C circuits (series and parallel), Inverse Laplace transforms, transformed
networks with initial conditions. Analysis of electrical circuits with applications of step, pulse,
impulse & ramp functions, shifted & singular functions the convolution integral,application of
initial and final value theorem.
Unit 5 Two port network and Filters
Two Port Network: Z, Y, H and transmission parameters, Interrelations between parameters.
Introduction to passive filters, low pass filters, high pass filters and m-derived LPF and HPF
filters and design.
Unit 6 Network Functions:
Poles and Zeros: Terminal pairs or ports, network functions for the one port and two ports, the
calculation of network functions, general networks. Poles and zeros of network functions,
Restrictions on poles and zeros locations for transfer functions and driving point function, Time –domain behavior from the pole and zero plot. Stability of active networks. Parallel Resonance,
Resonance frequency, Quality factor, Current and resonance.
FMCA
Fundamentals of Micro-Controllers and Applications (Syllabus)
Unit 01 :
Introduction to concept of microcontroller, Intel 8051 Functional block diagram, Functions of
pins of 8051, Memory organization of 8051, PSW and Flag Bits, Stack and Stack pointer.
Overview of special function registers,Data transfer instructions and programs in assembly
language.
Unit 02 :
Arithmetic and logical instructions and programs in assembly language.Boolean and Program
Branching instructions and programs in assembly language.Addressing modes of 8051.
Unit 03 :
8051 Programming in C , Data types in C . Ports of 8051, their use, and programming in C (Byte
Level and Bit-level). Time delay programming in C.
Timers and counters in 8051, Timer modes 0,1,2 and its programming in C and counter-
programming.
Unit 04 :
Interrupt structure of 8051 and SFR associated with interruptsProgramming of External hardware
interrupts in C.Interfacing of ADC 0809 with 8051.
Unit 05 :
Serial port Structure in 8051. Programming of Serial port for transferring and
receiving data in C in mode 1.
Introduction to GSM module, AT commands, Programming to send and read SMS.
Unit 06 :
Measurement of electrical parameters such as voltage, current (Theoretical Treatment only).
Interfacing of Stepper motor with 8051 and its programming in C.Interfacing and programming
of single Key, LED, and Relay with 8051 in C.
PS1
Power System I (Syllabus)
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