Total CourseCredits= 48+44 + 42 + 46 = 180 Syllabus
I Year - I Semester
ENGLISH - I
L T P C
4 0 0 3
Introduction: In view of the growing importance of English as a tool for global communication and the consequent emphasis on training the students to acquire communicative competence, the syllabus has been designed to develop linguistic and communicative competence of the students of Engineering.
As far as the detailed Textbooks are concerned, the focus should be on the skills of listening, speaking, reading and writing. The nondetailed Textbooks are meant for extensive reading for pleasure and profit.
Thus the stress in the syllabus in primarily on the development of communicative skills and fostering of ideas.
To imporve the language proficiency of the students in English with emphasis on LSRWskills.
To enable the students to study and comprehend the prescribed lessons and subjects more effectively relating to their theorotical and practicalcomponents.
To develop the communication skills of the students in both formal and informalsituations.
To enable the students to appreciate the role of listening skill and improve theirpronounciation.
To enable the students to comprehend the speech of people belonging to different backgrounds andregions.
The class are to be learner-centered where the learners are to read the texts to get a comprehensive idea of those texts on their own with the help of the peer group and theteacher.
Integrated skill development methodology has to be adopted with focus on individual language skills as per thetasks/exercise.
The tasks/exercises at the end of each unit should be completed by the learners only and the teacher interventionis perimitted as per the complexity of thetask/exercise.
The teacher is expected to use supplementary material wherever necessary and also generate activities/tasks as per therequirement.
The teacher is perimitted to use lecture method when a completely new concept is introduced in theclass.
Assessment Procedure: Theory
The formative and summative assessment procedures are to be adopted (mid exams and end semester examination).
Neither the formative nor summative assessment procedures should test the memory of the content of the texts given in the textbook. The themes and global comprehension of the units in the present day context with application of the langauge skills learnt in the unit are to betested.
Only new unseen passages are to be given to test reading skills of the learners. Written skills are to be tested from sentence level to essay level. The communication formats—emails,letters and reports-- are to be tested along with appropriate langauge andexpressions.
I mid exam + II mid exam (15% for descriptive tests+10% for online tests)= 25% (80% for the best of two and 20% for the other)
End semester exams=70%
Three take home assignments are to be given to the learners where they will have to read texts from the reference books list or other sources and write their gist in their ownwords.
The following text books are recommended for study in I B.Tech I Semester (Common for all branches)and I B.Pharma I Sem of JNTU Kakinada from the academic year 2016-17
ENGLISH FOR ENGINEERS AND TECHNOLOGISTS, Published by Orient Blackswan Pvt Ltd NON-DETAILED TEXTBOOK:
PANORAMA: A COURSE ON READING, Published by Oxford University Press India The course content along with the study material is divided into six units.
Laplace transforms of standard functions-Shifting theorems - Transforms of derivatives and integrals – Unit step function –Dirac’s delta function- Inverse Laplace transforms– Convolution theorem (with out proof).
Applications: Solving ordinary differential equations (initial value problems) using Laplace transforms.
UNIT IV: Partial differentiation:
Introduction- Homogeneous function-Euler’s theorem-Total derivative-Chain rule-Generalized Mean value theorem for single variable (without proof)-Taylor’s and Mc Laurent’s series expansion of functions of two variables– Functional dependence- Jacobian.
Applications: Maxima and Minima of functions of two variables without constraints and Lagrange’s method (with constraints).
UNIT V: First order Partial differential equations:
Formation of partial differential equations by elimination of arbitrary constants and arbitrary functions –solutions of first order linear (Lagrange) equation and nonlinear (standard types) equations.
UNIT VI: Higher order Partial differential equations:
Solutions of Linear Partial differential equations with constant coefficients. RHS term of the type
Dass H.K., Rajnish Verma. Er., Higher Engineering Mathematics, S. Chand Co. Pvt. Ltd,Delhi.
I Year - I Semester
L T P C
4 0 0 3
MATHEMATICS-II (Numerical Methods and Complex Variables)
UNIT I: Solution of Algebraic and Transcendental Equations:
Introduction- Bisection method – Method of false position – Iteration method – Newton-Raphson method (One variable and simultaneousEquations).
Introduction- Errors in polynomial interpolation – Finite differences- Forward differences- Backward differences –Central differences – Symbolic relations and separation of symbols - Differences of a polynomial-Newton’s formulae for interpolation
Interpolation with unequal intervals - Lagrange’s interpolationformula.
UNIT III: Numerical Integration and solution of Ordinary Differential equations:
Trapezoidal rule-Simpson’s1/3rd and 3/8th rule-Solution of ordinary differential equations by Taylor’s series-Picard’s method of successive approximations-Euler’s method - Runge-Kutta method (second and fourthorder).
Unit-IV: Functions of a complex variable
Complex function , Real and Imaginary parts of Complex function, Limit, Continuity and Derivative of complex function, Cauchy-Riemann equations, Analytic function, entire function, singular point, conjugate function, C R equations in polar form, Harmonic functions, Milne-Thomson method, Simple applications to flow
Unit-V: Series Expansion and Complex Integration
Line integral of a complex function, Cauchy’s theorem(only statement ) , Cauchy’s Integral Formula. Absolutely convergent and uniformly convergent of series of complex terms, Radius of convergence, Taylor’s series, Maclaurin’s series expansion, Laurent’sseries.
Unit-VI: Singularities and ResidueTheorem
Zeros of an analytic function, Singularity, Isolated singularity, Removable singularity, Essential singularity, pole of order m, simple pole, Residues, Residue theorem, Calculation of residues, Residue at a pole of order m, Evaluation of real definite integrals: Integration around the unit circle, Integration around semi circle, Indenting the contours having poles on the real axis.
Text Books: B.S.GREWAL, Higher Engineering Mathematics, 43rd Edition, KhannaPublishers.
DAVID KINCAID, WARD CHENEY, Numerical Analysis-Mathematics of Scientific Computing, 3rd Edition, UniversitiesPress.
I Year - I Semester
L T P C
4 0 0 3
OBJECTIVES: Physics curriculum which is re-oriented to the needs of Circuital branches of graduate engineering courses offered by JNTUniv.Kkd. that serves as a transit to understand the branch specific advanced topics. The courses are designed to:
Impart Knowledge of Physical Optics phenomena like Interference, Diffraction and Polarization involving required to design instruments with higherresolution.
Study the concepts regarding the bulk response of materials to the EM fields and their analytically study in the back-drop of basic quantummechanics.
Understand the physics of Semiconductors and their working mechanism for their utility insensors.
INTERFERENCE: Principle of Superposition – Coherent Sources – Interference in thin films (reflection geometry) – Newton’s rings – construction and basic principle ofInterferometers.
DIFFRACTION: Fraunhofer diffraction at single slit - Cases of double slit, N-slits & Circular Aperture (Qualitative treatment only)-Grating equation - Resolving power of a grating, Telescope andMicroscopes.
POLARIZATION: Types of Polarization – Methods of production - Nicol Prism -Quarter wave plate and Half Wave plate – Working principle of Polarimeter (Sacharimeter).
LASERS: Characteristics– Stimulated emission – Einstein’s Transition Probabilities- Pumping schemes - Ruby laser – Helium Neonlaser.
ELECTROMAGNETIC FIELDS: Scalar and Vector Fields – Electric Potential- Gradient, Divergence of fields – Gauss and Stokes theorems-Propagation of EM waves through dielectric medium.
QUANTUM MECHANICS: Introduction - Matter waves – Schröedinger Time Independent and Time Dependent wave equations – Particle inabox. FREE ELECTRON THEORY: Defects of Classical free electron theory –Quantum Free electron theory - concept of FermiEnergy.
BAND THEORY OF SOLIDS: Bloch’s theorem (qualitative) – Kronig – Penney model – energy bands in crystalline solids – classification of crystalline solids– effective mass of electron & concept of hole.
SEMICONDUCTOR PHYSICS: Conduction – Density of carriers in Intrinsic and Extrinsic semiconductors – Drift & Diffusion – relevance of Einstein’s equation- Hall effect in semiconductors
Outcome: Construction and working details of instruments, ie., Interferometer, Diffractometer and Polarimeter are learnt. Study EM-fields and semiconductors under the concepts of Quantum mechanics paves way for their optimal utility.