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20th August 2015, 08:40 AM
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Join Date: May 2012
Re: Mahamaya Technical University Noida syllabus

As you want to get the syllabus of B.Tech first year of Mahamaya Technical University Noida so here is the information of the same for you:

Semester 1:
Engineering Mathematics - I
Engineering Physics - I

Computer Programming/Engineering Mechanics
Electrical Engineering/Electronics Engineering
Engineering Chemistry/Manufacturing Practices
Branch Elective/Energy, Environment and Ecology
Professional Communication/Computer Aided Engineering Graphics
General Proficiency

Semester 2:
Engineering Mathematics - II

Engineering Physics – II/(E/M/C)
Engineering Mechanics/ Computer Programming
Electronics Engineering/Electrical Engineering
Manufacturing Practices /Engineering Chemistry
Energy, Environmentand Ecology/Branch Elective
Computer Aided Engineering Graphics/Professional Communication
General Proficiency

Details of the syllabi:
Differential Calculus-I

• Determination of nth derivative of standard functions-illustrative examples*.
• Leibnitz’s theorem (without proof) and problems.
• Taylor’s and Maclaurin’s series for one variable (without proof).
• Differential coefficient of length of arc (concept and formulae without proof).
• Curvature – Cartesian formula for radius of curvature, centre of curvature.
• Asymptotes for cartesian coordinates only. Curve tracing (cartesian & polar coordinates), simple problems.

Differential Calculus-II

• Partial Differentiation. Euler’s theorem. Change of variables.
• Jacobians.
• Approximation of errors.
• Expansion of functions of several variables (without proof).
• Extrema function of several variables.
• Lagrange’s Method of Multipliers (simple problems only).
• Envelopes. Evolutes.

Multiple Integrals

• Double Integral.
• Triple Integral.
• Change of Order of Integration.
• Change of Variables.
• Application of double and triple integrals to area and volume.
• Beta and Gamma functions.
• Dirichlet’s integral and application.

Vector Calculus

• Vector differentiation, Vector point function.
• Gradient, divergence and curl of a vector point function and their physical interpretation.
• Vector integration: Line, surface and volume integrals.
• Statement of Green’s, Stoke’s and Gauss divergence theorems (without proof) and problems.

Matrices:

• Elementary row and column transformation rank of a matrix.
• Linear dependence, consistency of linear system of equations and their solution.
•Characteristic equation .Cayley-Hamilton theorem. Eigen values and Eigen vectors, diagonalization.
• Complex and unitary matrices.
• Application of matrices to engineering problems.

Text Books:-

1. B. V. Ramana, Higher Engineering Mathematics, Tata Mc Graw-Hill Publishing
Company Ltd., 2008.
2. B. S. Grewal, Higher Engineering Mathematics, Khanna Publisher, 2005.
3. Babu Ram , Engineering Mathematics, Pearson.

Reference Books:-
1. E.Kreyszig, Advance Engineering Mathematics, John Wiley & Sons,2005.
2. Peter V. O’Neil, Advance Engineering Mathematics, Thomson (Cengage)Learning,2007.
3. Maurice D. Weir, Joel Hass, Frank R.Giordano, Thomas, Calculus, Eleventh Edition ,Pearson.
4. R. K. Jain & S. R. K. Iyenger , Advance Engineering Mathematics , Narosa Publishing -House, 2002.

Relativistic Mechanics

• Inertial & non-inertial frames,
• Galilean transformation equations,
• Michelson-Morley experiment, Einstein’s postulates,
• Lorentz transformation equations,
• Length contraction & time dilation,
• Addition of velocities, Variation of mass with velocity,
• Mass energy equivalence.

Electromagnetics

• Recapitulation of vector product, Gradient, Divergence & Curl,
• Statement and explanation of Gauss divergence &
• Stokes theorems, useful vector identities.
• Maxwell’s equations (Integral and differential forms)
• Equation of continuity, Transverse nature of EM waves,
• EM - wave equation and its propagation characteristics in freespace, Poynting vector.

Interference

• Spatial and temporal coherence
• Interference in thin films of uniform thickness and in wedgeshaped film (qualitative),
• Newton’s rings,
• Anti reflection and high reflection coatings (qualitative), interference filters(qualitative).

Diffraction:

• Single and N- slit diffraction,
• Grating spectra,
• Rayleigh’s criterion of resolution,
• Resolving power of grating

Polarization:

• Polarization by reflection and refraction, Double refraction,
• Nicol prism, Sheet polarizer, Production and analysis of plane,
• circularly and elliptically polarized lights,
• Basic concepts of optical activity, Polarimeter (Half shade).

Laser:

• Spontaneous and stimulated emission of radiation,
• Einstein’s coefficients, Construction and working of Ruby,
• He-Ne and semiconductor lasers, Important laser applications(qualitative).

Fiber Optics :

• Fundamental ideas about optical fibers, Types of fibers,
• Acceptance angle and cone, Numerical aperture,
• Propagation mechanism and communication in optical fiber, Attenuation,
• Signal loss in optical fiber and dispersion.

Holography

• Basic principles of holography, Construction of hologram and wave reconstruction,
• Applications of holography (qualitative).

Reference Material:

(i) J. W. Jewett Jr., R.A. Serway, Physics for scientists & engineers with modern physics (Cengage learning 2nd Indian reprint 2011).
(ii) A. Beiser,Concepts of Modern Physics, (Mc-Graw Hill).
(iii) Robert Resnick,Introduction to special theory of relativity (Wiley).
(iv) Ajoy Ghatak,Optics (Tata Mc-Graw Hill).
(v) Resnick, Hallidey and Walker Fundamental of Physics (Wiley).
(vi) David J. Griffith ,Introduction to Electrodynamics (Prentice-Hall India).
(vii) S. D. Jain and G. Sahasrabudhe, Engineering Physics (Universities Press).
(viii) K. Rajagopal, Engineering Physics (Prentice-Hall India).
(ix) G. Aruldhas, Engineering Physics (Prentice-Hall India).

Computer Programming:
UNIT I:
Introduction to Computer System:

Hardware, Software-system software, & application software;
Introduction to Computing Environment; Introduction to Problem solving and notion of algorithm: Flow charting, Pseudo code, corresponding sample C-programme, Testing the code; Number Systems and their conversion: Decimal, Binary, Octal and Hexadecimal representations, bit, byte; Character representation: ASCII, sorting order; System software re-visited: machine language, symbolic language, higher lever languages, what is a compiler, what is an operating system, what is a linker, what is an editor, error handling; Introduction to programme development.

UNIT II:
Structure of a C-program, comments, identifiers; Fundamental Data Types:

Character types, Integer, short, long, unsigned, single and double-precision floating point, complex, boolean, constants; Basic Input/Output: printf, formatting, scanf, eof errors; Operators and Expressions: Using numeric and relational operators, mixed operands and type conversion, Logical operators, Bit operations, Operator precedence and associatively, Functions in C: standard function, defining a function, inter-function communication- passing arguments by value, scope rules and global variables; Top-down program development.

UNIT III:
Conditional Program Execution:

Applying if and switch statements, nesting if and else, restrictions on switch values, use of break and default with switch; Program Loops and Iteration: Uses of while-do and for loops, multiple loop variables, assignment operators, using break and continue; Arrays: Array notation and representation, manipulating array elements, using multidimensional arrays, arrays of unknown or varying size

UNIT IV:
Sequential search, Sorting arrays; Strings, Recursion; Text files, file Input/Output - fopen, fread, etc Structures:

Purpose and usage of structures, declaring structures, assigning of structures, Pointers to Objects: Pointer and address arithmetic, pointer operations and declarations, using pointers as function arguments

UNIT V:
Familiarization with Linux OS environment:

Basic OS commands, directory creation, editing, storing and protecting access to files; Open-office; Text files in Indian languages: keyboarding, editing, searching; The Standard C Preprocessor: Defining and calling macros, utilizing conditional compilation, passing values to the compiler, string handling functions,

Two Dimensional Concurrent Force Systems:

• Basic concepts
• Units
• Force System
• Law of motion
• Moment and couple
• Vectors - Vectorial representation of forces and moments
• Vector operations
• Principle of Transmissibility of forces
• Resultant of a force system
• Equilibrium and Equations of Equilibrium
• Equilibrium conditions
• Free body diagrams
• Determination of reaction
• Resultant of Two dimensional concurrent forces, Applications of concurrent forces

Two Dimensional Non-Concurrent Force Systems:

• Basic concepts
• Varignon’s theorem
• Transfer of a force to parallel position
• Distributed force system
• Converting force into couple and vice-versa, applications
• Types of supports and their reactions

Friction:

• Introduction
• Laws of Coulomb Friction
• Equilibrium of Bodies involving Dry-friction
• Ladder friction
• Belt friction

Structure:

• Plane truss
• Perfect and imperfect truss
• Assumption in the truss analysis
• Analysis of perfect plane trusses by the method of joints
• Method of section

Centroid and Moment of Inertia:

• Centroid of plane, curve, area, volume and composite bodies
• Moment of inertia of plane area
• Parallel Axes Theorem
• Perpendicular axes theorems
• Mass moment of Inertia of Circular Ring, Disc, Cylinder, Sphere and Cone about their Axis of Symmetry
• Polar moment of inertia

Kinematics of Rigid Body:

• Introduction
• Plane rectilinear motion of rigid body
• Plane curvilinear Motion of Rigid Body
• Velocity and Acceleration under Translation and Rotational
Motion
• Relative velocity

Kinetics of rigid body:

• Introduction
• Force, Mass and Acceleration
• Work and Energy
• Impulse and Momentum
• D’Alembert’s Principles and Dynamic Equilibrium

Virtual work:
• Virtual displacement and virtual work
• Principle of virtual work
• Stability of equilibrium
• Application of virtual work on frames
• Lifting machines and ladders



Contact Details:
Mahamaya Technical University
C-20
Sector 62
Noida,
Uttar Pradesh 201309
India

[MAP]Mahamaya Technical University Noida Uttar Pradesh[/MAP]


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