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Pre-requisites: Nil Total hours: 39 Course Outcomes CO1: Test the consistency of system of linear equations and then solve it. CO2: Test for linear independence of vectors and perform orthogonalisation of basis vectors. CO3: Diagonalise symmetric matrices and use it to find the nature of quadratic forms. CO4: Formulate some engineering problems as ODEs and hence solve them. CO5: Use Laplace transform and its properties to solve differential equations and integral equations. Module 1: (1 6 hours) System of Linear equations, Gauss elimination, Solution by LU decomposition, Determinant, Rank of a matrix, Linear independence, Consistency of linear system, General form of solution. Vector spaces, Subspaces, Basis and dimension, Linear transformation, Rank-nullity theorem, Inner- product, Orthogonal set, Gram-Schmidt orthogonalisation, Matrix representation of linear transformation, Basis changing rule. Types of matrices and their properties, Eigenvalue, Eigenvector, Eigenvalue problems, Cayley-Hamiltonian theorem and its applications, Similarity of matrices, Diagonalisation, Quadratic form, Reduction to canonical form. Module 2: (13 hours) Ordinary Differential Equations (ODE): Formation of ODE, Existence and uniqueness solution of first order ODE using examples, Methods of solutions of first order ODE, Applications of first order ODE. Linear ODE: Homogenous equations, Fundamental system of solutions, Wronskian, Solution of second order non-homogeneous ODE with constant coefficients: Method of variation of parameters, Method of undetermined coefficients, Euler-Cauchy equations, Applications to engineering problems, System of linear ODEs with constant coefficients. Module 3: (10 hours) Gamma function, Beta function: Properties and evaluation of integrals. Laplace transform, Necessary condition for existence, General properties, Inverse Laplace transform, Transforms of derivatives and integrals, Differentiation and Integration of transform, Unit-step function, Shifting theorems, Transforms of periodic functions, Convolution, Solution of differential equations and integral equations using Laplace transform. References:
Pre-requisites: Nil L T P C 3 0 0 3 Total hours: 39 Course Outcomes: CO1: To enable students to apply relevant fundamental principles of modern physics to problems in engineering. CO2: To develop knowledge of basic principles of Quantum Physics CO3: Acquire knowledge of the basic physics of a collection of particles and the emergent macroscopic properties. CO4: Apply principles of quantum and statistical physics to understand properties of materials Module 1: (12 hours): Particle nature of radiation – Photoelectric effect, Compton effect, Wave nature of matter – matter waves, wave packets description, phase and group velocity, uncertainty principle. Formulation of Schrödinger equation, physical meaning of wave function, expectation values, time-independent Schrödinger equation, quantization of energy for bound particles. Application of time-independent Schrödinger equation to free particle, infinite well, finite well, barrier potential, tunneling. Module 2: (14 hours): Simple Harmonic Oscillator, two-dimensional square box, the scanning tunneling microscope. Wave function for two or more particles, indistinguishable particles, symmetry and anti-symmetry under exchange of particles, Pauli’s exclusion principle, electronic configurations of atoms. Quantum model of a solid – periodicity of potential and bands, E – k diagram, effective mass, band gap. Module 3: (13 hours): Microstates and macrostates of a system, equal probability hypothesis, Boltzman factor and distribution, ideal gas, equipartition of energy, Maxwell speed distribution, average speed, RMS speed, Quantum distributions - Bosons and Fermions, Bose-Einstein and Fermi-Dirac distribution, applications. References:
Pre-requisites: Nil . Total hours: 39 Course Outcomes CO1: Distinguish the different types of meaning for constructive criticism, by developing a comprehensive understanding of the extensive vocabulary and usage in formal English language. CO2: Learn and practice principles related to good formal writing. CO3: Develop competence in group activities such as group discussions, debates, mock interviews, etc. by practicing the integration of unique qualities of nonverbal and verbal styles. CO4: Deliver clear and effective presentation of ideas in the oral / written medium and to acquire the ability to modify it according to the target audience. Module 1: ( 12 hours) Role and importance of verbal communication, Everyday active vocabulary, Common words used in transitions, enhancing vocabulary, affixes and changes in pronunciation and grammatical functions, words often confused in pronunciation and usage. Passage comprehension- skimming, scanning techniques, note making, note taking and summarizing. Deciphering meaning from contexts. Two types of meaning- literal and contextual. Constructive criticism of speeches and explanations. Module 2: ( 15 hours) Fundamental grammar, Simple structures, passivizing the active sentences, reported speech, the judicious use of tenses and moods of verbs, forming questions and conversion from questions to statements and vice versa, forming open – ended and close- ended questions. Words and style used for formal and informal communication. Practice converting informal language to formal, the diction and the style of writing. Dealing with the nuances of ambiguous constructions in language. Learning authoritative writing skills, polite writing and good netiquette. Writing for internships and scholarships. Module 3: ( 12 hours) Kinesics, Proxemics, Haptics, and other areas of non-verbal communication, fighting communication barriers, positive grooming and activities on the same. Different types of interviews, and presentation- oral, poster, ppt. Organizing ideas for group discussions, the difference between GD and debates. References:
Pre-requisites: Nil L T P C 3 0 0 3 Total hours: 39 Course Outcomes: CO1: Determine the resultants of a force system CO2: Solve rigid body statics problems using equations of equilibrium and principle of virtual work CO3: Perform kinematic analysis of a particle CO4: Solve particle dynamics problems using Newton's laws, energy methods and momentum methods Module 1: Basic Concepts (13 hours) Introduction: idealizations of mechanics, vector and scalar quantities, equality and equivalence of vectors, laws of mechanics, elements of vector algebra. Important vector quantities: position vector, moment of a force about a point, moment of a force about an axis, the couple and couple moment, couple moment as a free vector, moment of a couple about a line. Equivalent force systems: translation of a force to a parallel position, resultant of a force system, simplest resultant of special force systems, distributed force systems, reduction of general force system to a wrench. Module 2: Statics (13 hours) Equations of equilibrium: free-body diagram, free bodies involving interior sections, general equations of equilibrium, problems of equilibrium, static indeterminacy. Applications of equations of equilibrium: Trusses: solution of simple trusses using method of joints and method of sections; Friction forces: laws of Coulomb friction, simple contact friction problems; Cables and chains. Properties of surfaces: first moment and centroid of plane area, second moments and product of area for a plane area, transfer theorems, rotation of axes, polar moment of area, principal axes. Method of virtual work: principles of virtual work for rigid bodies and its applications. Module 3: Dynamics (13 hours) Kinematics of a particle: introduction, general notions, differentiation of a vector with respect to time, velocity and acceleration calculations in rectangular coordinates, velocity and acceleration in terms of path variables and cylindrical coordinates, simple kinematical relations and applications. Dynamics of a particle: introduction, Newton’s law for rectangular coordinates, rectilinear translation, Newton’s law for cylindrical coordinates, Newton’s law for path variables, energy and momentum methods: introduction, conservative force field, conservation of mechanical energy, alternative form of work-energy equation, impulse and momentum relations, moment-of-momentum equation. References:
Pre-requisites: Nil L T P C 3 0 0 3 Total hours: 39 Course Outcomes: CO1: Design simple resistive circuits for various applications in Electrical and Electronics engineering. CO2: Design simple magnetic circuits and inductive components for signal and power processing. CO3: Carry out design verification calculations, power and power loss calculations, voltage drop calculations etc. in single phase ac circuits. CO4: Analyze Amplifiers and Digital Circuits in terms of critical parameters and complexity. CO5: Design sub modules for systems/ Solutions for real life problems using suitable sensors /transducers, amplifiers, data converters and digital circuits. Module 1: (11 hours) Analysis of Resistive Circuits: v-i relationship for Independent Voltage and Current Sources Solution of resistive circuits with independent sources- Node Voltage and Mesh Current Analysis, Nodal Conductance Matrix and Mesh Resistance Matrix and symmetry properties of these matrices Source Transformation and Star-Delta / Delta-Star Conversions to reduce resistive networks Circuit Theorems - Superposition Theorem, Thevenin’s Theorem, Norton’s Theorem and Maximum Power Transfer Theorem. Magnetic Circuits: MMF, Magnetic Flux, Reluctance, Energy stored in a Magnetic Field, Solution of Magnetic Circuits. Two Terminal Element Relationships: Inductance - Faraday’s Law of Electromagnetic Induction, Lenz’s Law, Self and Mutual Inductance, Inductances in Series and Parallel, Mutual Flux and Leakage Flux, Coefficient of Coupling, Dot Convention, Cumulative and Differential Connection of Coupled Coils. Capacitance – Electrostatics, Capacitance, Parallel Plate Capacitor, Capacitors in series and parallel, Energy stored in Electrostatic Field, v-i relationship for Inductance and Capacitance Module 2: ( 9 hours) Single Phase AC Circuits: Alternating Quantities - Average Value, Effective Value, Form and Peak factors for square, triangle, trapezoidal and sinusoidal waveforms. Phasor representation of sinusoidal quantities - phase difference, Addition and subtraction of sinusoids, Symbolic Representation: Cartesian, Polar and Exponential forms. Analysis of a.c circuits - R, RL, RC, RLC circuits using phasor concept, Concept of impedance, admittance, conductance and susceptance. Power in single phase circuits - instantaneous power, average power, active power, reactive power, apparent power, power factor, complex power, solution of series, parallel and series parallel a.c circuits. Module 3 (1 1 hrs) Sensors and Transducers: principles of piezoelectric, photoelectric, thermoelectric transducers, thermistors, strain gauge, LVDT, etc, Measurement of temperature, pressure, velocity, flow, pH, liquid level, etc. Basics of Signal Amplification:
(Explanation based on two port models is only envisaged) – voltage gain, current gain and power gain, amplifier saturation, types of amplifiers (voltage, current, transconductance and transresistance amplifiers) and relationship between these amplifier models, frequency response of amplifiers, single time constant networks. Operational amplifier basics: Ideal op-amp, inverting, noninverting, summing and difference amplifiers, integrator, differentiator. Module 4 (8 hrs) Digital Electronics: Review of number systems and Boolean algebra, Logic Gates and Truth Tables, Simplification of Boolean functions using Karnaugh map (upto 4 variable K-maps), Implementation of Simple combinational circuits (Adder, Code Converters, 7 - Segment Drivers, Comparators, Priority Encoders, etc) - MUX-based implementation of combinatorial circuits , Sequential circuits: SR,JK, T and D filpflops, counters and registers using D flip flops, Basics of data converters (at least one ADC and DAC). References:
Pre-requisites: Nil L T P C 2 0 0 2 Total hours: 26 Course Outcomes: CO1: Comprehend the chemical and molecular basis of life. CO2: Summarize about the basic molecules of life- proteins, lipids, DNA, and RNA CO3: Develop idea about cell, its structure, functions and significance of compartmentalization CO4: Students will describe the concepts in ecology and biodiversity and its impact on global change Module 1: (09 hours) Origin and evolution of life, Biogenesis and Louis Pasteur, Oparin-Haldane hypothesis, Darwin’s view on natural selection.unity and diversity of life, Chemistry of life, introduction to structure and function of the biological macromolecules like carbohydrates, proteins, lipids, DNA and RNA Module 2: (09 hours) Prokaryotic and eukaryotic cells,structure and organization of cells, intracellular compartmentalization, functions of various organelles. Extracellular components and cell-cell communication,overview of Mitosis and Meiosis,basic concepts in energy transformation and photosynthesis. Module 3: (08 hours) Principles of Mendelian inheritance and chromosomal basis of heredity, linked genes, genetic disorder.Ecosystems and restoration ecology, energy flow, chemical and nutrient cycling, primary production in ecosystems, conservation of biodiversity. References:
Pre-requisites: Nil L T P C 0 0 2 1 Total hours: 26 Course Outcomes: CO1: Develop experimentation skills and understand importance of measurement practices in Science & Technology. CO2: Develop analytical skills for interpreting data and drawing inferences. CO3: Estimate the nature of experimental errors and practical means to obtain errors in acquired data. CO4: Develop skills for team work and technical communication and discussions. CO5: Apply theoretical principles of modern physics to analysis and measurements performed in the laboratory. LIST OF EXPERIMENTS
Pre-requisites: Nil L T P C 0 0 3 2 Total hours: 39 Course Outcomes: CO1: Perform experiments to ascertain the quality requirements and quality testing procedures of selected building material, viz., cement, fine aggregate, coarse aggregate, concrete, timber and steel. CO2: Identify and evaluate various driver characteristics as driver of a vehicle. CO3: Acquire knowledge about basic civil engineering practices of brick masonry, plumbing and surveying. CO4: Perform wiring estimation and costing for simple building/commercial electrical wiring systems. CO5: Use commonly employed wiring tools and lighting and wiring accessories. CO6: Adopt electrical safety measures in using and servicing household appliances. Civil Engineering Workshop (24 hours)
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Pre-requisites: Nil Total hours: 26 (13 L +13 P) Course Outcomes: CO1: Select a game/ activity of his/ her choice to pursue on the campus to enjoy/ entertain and thereby develop good health and fitness which he/she would carry over to post-campus life for maintaining health, fitness and wellness. CO2: Be more proficient in a game, which may lead him/her to a berth in the institute teams. CO3: Gain exposure to professional training, so as to enable him / her to excel in sports activities. CO4: Participate in intramural and open mass participation activities. CO5: Participate and organise in-campus or off-campus sports activities. UNIT – I - Introduction, definition, aims & objectives of Physical Education. Health, Physical fitness and wellness. Importance, scope and relevance of Physical Education in NITC curriculum. UNIT – II - Physical fitness and components. Health related Physical fitness and components. Benefits of exercise – physical and physiological. UNIT – III - Physical exercise and its principles. Activities for developing physical fitness – walking, jogging, running, weight training, stretching, yogasanas. Athletic injuries and their management. Nutritional balance. UNIT – IV - Motivation and its importance in sports. Stress, anxiety, tension, aggression in sports. Personality, self-confidence and performance. Team cohesion and leadership in sports. UNIT – V - Lifestyle diseases and its management, Diabetes and Obesity, Hypertension, Osteoporosis Coronary heart diseases and cholesterol. Backpain, Postural deformities and their remedies. UNIT – VI. - Olympic Values Education. Event & Crisis management. References