RTU 1st Year Syllabus
Unit-wise · All Branches

1. Unit 1

   Calculus: Improper integrals (Beta and Gamma functions) and their properties; Applications of definite integrals to evaluate surface areas and volumes of revolutions.

   8 hrs
2. Unit 2

   Sequences and Series: Convergence of sequence and series, tests for convergence; Power series, Taylor's series, series for exponential, trigonometric and logarithm functions.

   6 hrs
3. Unit 3

   Fourier Series: Periodic functions, Fourier series, Euler‟s formula, Change of intervals, Half range sine and cosine series, Parseval‟s theorem.

   6 hrs
4. Unit 4

   Multivariable Calculus (Differentiation): Limit, continuity and partial derivatives, directional derivatives, total derivative; Tangent plane and normal line; Maxima, minima and saddle points; Method of Lagrange multipliers; Gradie nt, curl and divergence.

   10 hrs
5. Unit 5

   Multivariable Calculus (Integration): Multiple Integration: Double integrals (Cartesian), change of order of integration in double integrals, Change of variables (Cartesian to polar), Applications: areas and volumes, Centre o f mass and Gravity (constant and variable densities); Triple integrals (Cartesian), Simple applications involving cubes, sphere and rectangular parallelepipeds; Scalar line integrals, vector line integrals, scalar surface integrals, vector surface integrals, Theorems of Green, Gauss and Stokes.

   10 hrs

Total: 40 lecture hours

1. Unit 1

   Wave Optics: Newton‟s Rings, Michelson‟s Interferometer, Fraunhofer Diffraction from a Single Slit. Diffraction grating: Construction, theory and spectrum, Resolving power and Rayleigh criterion for limit of resolution, Resolving power of diffraction grating, X -Ray diffraction and Bragg‟s Law.

   9 hrs
2. Unit 2

   Quantum Mechanics: Introduction to quantum Mechanics, Wave -particle duality, Matter waves, Wave function and basic postulates, Time dependent and time independent Schrodinger‟s Wave Equation, Physical interpretation of wave function and its properties, Applications of the Sc hrodinger‟s Equation: Particle in one dimensional and three dimensional boxes.

   6 hrs
3. Unit 3

   Coherence and Optical Fibers: Spatial and temporal coherence: Coherence length; Coherence time and „Q‟ factor for light, Visibility as a measure of Coherence and spectral purity, Optical fiber as optical wave guide, Numerical aperture; Maximum angle of acceptance and applications of op tical fiber.

   4 hrs
4. Unit 4

   Laser: Einstein‟s Theory of laser action; Einstein‟s coefficients; Properties of Laser beam, Amplification of light by population inversion, Components of laser, Construction and working of He -Ne and semiconductor lasers, Applications of Lasers in Science, engineering and medicine.

   6 hrs
5. Unit 5

   Material Science & Semiconductor Physics: Bonding in solids: covalent and metallic bonding, Energy bands in solids: Classification of solids as Insulators, Semiconductors and Conductors, Intrinsic and extrinsic semiconductors, Fermi dirac distribution function and Fermi energy, Conductivity in semiconductors, Hall Effect: Theory, Hall Coefficient and applications.

   7 hrs
6. Unit 6

   Introduction to Electromagnetism: Divergence and curl of electrostatic field, Laplace‟s and Poisson‟s equations for electrostatic potential, Bio -Savart law, Divergence and curl of static magnetic field, Faraday‟s law, Displacement current and magnetic field arising from time dependent electric field, Maxwell‟s equations, Flow of energy and Poynting vector.

   8 hrs

Total: 40 lecture hours

1. Unit 1

   Water: Common impurities, hardness, determination of hardness by complexometric (EDTA method), Degree of hardness, Units of hardness Municipal water supply: Requisite of drinking water, Purification of water; sedimentation, filtration, disinfection, breakpoint chlorination. Boiler troubles: Scale and Sludge formation, Internal tre atment methods, Priming and Foaming, Boiler corrosion and Caustic embrittlement Water softening; Lime -Soda process, Zeolite (Permutit) process, Demineralization process. Numerical problems based on Hardness, EDTA, Lime-Soda and Zeolite process.

   10 hrs
2. Unit 2

   Organic Fuels: Solid fuels: Coal, Classification of Coal, Proximate and Ultimate analyses of coal and its significance, Gross and Net Calorific value, Determination of Calorific value of coal by Bomb Calorimeter. Metallurgical coke, Carbonization processe s; Otto -Hoffmann by - product oven method. Liquid fuels: Advantages of liquid fuels, Mining, Refining and Composition of petroleum, Cracking, Synthetic petrol, Reforming, Knocking, Octane number, Anti-knocking agents, Cetane number Gaseous fuels; Advantage s, manufacturing, composition and Calorific value of coal gas and oil gas, Determination of calorific value of gaseous fuels by Junker‟s calorimeter Numerical problems based on determination of calorific value (bomb calorimeter/Junkers calorimeter/Dulongs formula, proximate analysis & ultimate and combustion of fuel.

   10 hrs
3. Unit 3

   Corrosion and its control: Definition and significance of corrosion, Mechanism of chemical (dry) and electrochemical (wet) corrosion, galvanic corrosion, concentration corrosion and pitting corrosion. Protection from corrosion; protective coatings -galvanization and tinning, cathodic protection, sacrificial anode and modifications in design.

   3 hrs
4. Unit 4

   Engineering Materials: Portland Cement; Definition, Manufacturing by Rotary kiln. Chemistry of setting and hardening of cement. Role of Gypsum. Glass: Definition, Manufacturing by tank furnace, significance of annealing, Types and properties of soft glass, hard glass, borosilicate glass, glass wool, safety glass Lubricants: Classification, Mechanism, Properties; Viscosity and viscosity index, flash and fire point, cloud and pour point. Emulsification and steam emulsion number.

   10 hrs
5. Unit 5

   Organic reaction mechanism and introduction of drugs: Organic reaction mechanism: Substitution; SN1, SN2, Elecrophilic aromatic substitution in benzene, free radical halogenations of alkanes, Elimination; elimination in alkyl halides, dehydration of alcohols, Addition: electrophilic and free radical addition in alkenes, nucleophilic addition in aldehyde and ketones, Rearrangement; Carbocation and free radical rearrangements Drugs: Introduction, Synthesis, properties and uses of Aspirin, Paracetamol

   7 hrs

Total: 40 lecture hours

1. Unit 1

   Communication: Meaning, Importance and Cycle of Communication. Media and Types of Communication. Verbal and Non -Verbal Communication. Barriers to communication. Formal and Informal Channels of Communication (Corporate Communication). Divisions of Human Communication and Methods to improve Interpersonal Communication. Qualities of good communication.

   5 hrs
2. Unit 2

   Grammar: Passive Voice. Reported Speech. Conditional Sentences. Modal Verbs. Linking Words (Conjunctions)

   5 hrs
3. Unit 3

   Composition: Job Application and Curriculum -Vitae Writing. Business Letter Writing. Paragraph Writing. Report Writing.

   5 hrs
4. Unit 4

   Short Stories: “Luncheon” by Somerset Maugham.“How Much Land Does a Man Need?” by Count Leo Tolstoy. “The Night Train at Deoli” by Ruskin Bond.

   5 hrs
5. Unit 5

   Poems: “No Men are Foreign” by James Kirkup. “If” by Rudyard Kipling. “Where the Mind is without Fear” by Rabindranath Tagore.

   5 hrs

Total: 25 lecture hours

1. Unit 1

   Course Introduction - Need, Basic Guidelines, Content and Process for Value Education Understanding the need, basic guidelines, Self Exploration - its content and process; „Natural Acceptance‟ and Experiential Validation, Continuous Happiness and Prosperity - Human Aspirations, Right understanding, Relationship and Physical Facilities,Unders tanding Happiness and Prosperity correctly - A critical appraisal of the current scenario. Method to fulfill the above human aspirations: understanding and living in harmony at various levels

   5 hrs
2. Unit 2

   Understanding Harmony in the Human Being - Harmony in Myself Understanding human being as a co -existence of the sentient „I‟ and the material „Body‟ Understanding the needs of Self („I‟) and „Body‟ - Sukh and Suvidha Understanding the Body as an instrument of „I‟,Understanding the characteristics and activities of „I‟ and harmony in „I‟ Understanding the harmony of I with the Body: Sanyam and Swasthya; correct appraisal of Physical needs, meaning of Prosperity in detail, Programs to ensure Sanyam and Swasthya.

   5 hrs
3. Unit 3

   Understanding Harmony in the Family and Society - Harmony in Human-Human Relationship Understanding harmony in the Family, Understanding values in human-human relationship; meaning of Nyaya and program for its fulfillment to ensure Ubhay -tripti; Trust (Vishwas) and Re spect (Samman), meaning of Vishwas; Difference between intention and competence, meaning of Samman, Difference between respect and differentiation; the other salient values in relationship, harmony in the society, Samadhan, Samridhi, Abhay, Sah -astitva as comprehensive Human Goals,Visualizing a universal harmonious order in society - Undivided Society (AkhandSamaj), Universal Order (SarvabhaumVyawastha) - from family to world family.

   5 hrs
4. Unit 4

   Understanding Harmony in the Nature and Existence - Whole existence as Coexistence Understanding the harmony in the Nature. Interconnectedness and mutual fulfillment among the four orders of nature - recyclability and self-regulation in nature. Understanding Existence as Co -existence (Sah-astitva) of mutually interacting units in all pervasive Space. Holistic perception of harmony at all levels of existence

   5 hrs
5. Unit 5

   Implications of the above Holistic Understanding of Harmony on Professional Ethics. Natural acceptance of human values Definitiveness of Ethical Human Conduct. Basis for Humanistic Education, Humanistic Constitution and Humanistic Universal Order. Competence in Professional Ethics: a) Ability to utilize the professional competence for augmenting universal human order, (b) Ability to identify the scope an d characteristics of people -friendly and eco - friendly production systems, technologies and management models. Strategy for transition from the present state to Universal Human Order: (a). At the level of individual: as socially and ecologically responsible engineers, technologists and managers. (b). At the level of society: as mutually enriching institutions and organization. Case studies related to values in professional life and individual life.

   5 hrs

Total: 25 lecture hours

1. Unit 1

   Fundamentals of Computer: Stored program architecture of computers, Storage device - Primary memory, and Secondary storage, Random, Direct, Sequential access methods, Concepts of High -level, Assembly and Low -level languages, Representing algorithms through flowchart and pseudo code.

   8 hrs
2. Unit 2

   Number system: Data representations, Concepts of radix and representation of numbers in radix r with special cases of r=2, 8, 10 and 16 with conversion from radix r1 to r2, r‟s and (r -1)‟s complement, Binary addition, Binary subtraction, Representation of alphabets.

   8 hrs
3. Unit 3

   C Programming: Problem specification, flow chart, data types, assignment statements, input output statements, developing simple C programs, If statement, for loops, while loops, do -while loops, switch statement, break statement, continue statement, dev elopment of C programs using above statements, Arrays, functions, parameter passing, recursion, Programming in C using these statements, Structures, files, pointers and multi file handling.

   12 hrs

Total: 28 lecture hours

1. Unit 1

   Fundamentals: Introduction to mechanical engineering, concepts of thermal engineering, mechanical machine design, industrial engineering and manufacturing technology. Steam Boilers classification and types of steam boilers and steam turbines. Introduction and Classification of power plants.

2. Unit 2

   Pumps and IC Engines: Applications and working of Reciprocating and Centrifugal pumps. Introduction, Classification of IC Engines, Main Components of IC Engines, Working of IC Engines and its components.

3. Unit 3

   Refrigeration and Air Conditioning: Introduction, classification and types of refrigeration systems and air-conditioning. Applications of refrigeration and Air-conditioning.

4. Unit 4

   Transmission of Power: Introduction and types of Belt and Rope Drives, Gears.

5. Unit 5

   Primary Manufacturing Processes: Metal Casting Process: Introduction to Casting Process, Patterns, Molding, Furnaces. Metal Forming Processes: Introduction to Forging, Rolling, Extrusion, Drawing. Metal Joining Processes: Introduction to various types of Welding, Gas Cutting, Brazing, and Soldering.

6. Unit 6

   Engineering Materials and Heat Treatment of Steel: Introduction to various engineering materials and their properties.

1. Unit 1

   DC Circuits: Electrical circuit elements (R, L and C), voltage and current sources, Kirchhoff current and voltage laws, Series -Parallel circuits, Node voltage method, Mesh current method, Superposition, Thevenin‟s, Norton‟s and Maximum power transfer theorems.

   5 hrs
2. Unit 2

   AC Circuits: Representation of sinusoidal waveforms, peak and r.m.s values, phasor representation, real power, reactive power, apparent power, power factor. Analysis of single -phase AC circuits consisting of R, L, C, RL, RC and RLC combinations (series and parallel), resonance. Three phase balanced circuits, voltage and current relation s in star and delta connections.

   4 hrs
3. Unit 3

   Transformers: Ideal and practical transformer, EMF equation, equivalent circuit, losses in transformers, regulation and efficiency.

   4 hrs
4. Unit 4

   Electrical Machines: Generation of rotating magnetic fields, Construction and working of a three -phase induction motor, Significance of torque -slip characteristic. Starting and speed control of induction motor, single - phase induction motor. Construction, working, torque -speed characteristic and speed control of separately excited DC motor. Construction and working of synchronous generators.

   7 hrs
5. Unit 5

   Power Converters: Semiconductor PN junction diode and transistor (BJT). Characteristics of SCR, power transistor and IGBT. Basic circuits of single phase rectifier with R load, Single phase Inverter, DC -DC converter.

   4 hrs
6. Unit 6

   Electrical Installations: Layout of LT switchgear: Switch fuse unit (SFU), MCB, ELCB, MCCB, Type of earthing. Power measurement, elementary calculations for energy consumption.

   4 hrs

Total: 28 lecture hours

1. Unit 1

   Introduction to objective, scope and outcome the subject

2. Unit 2

   Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.

3. Unit 3

   Surveying: Object, Principles & Types of Surveying; Site Plans, Plans& Maps; Scales & Unit of different Measurements. Linear Measurements: Instruments used. Linear Mea surement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station. Levelling: Instrument used, Object of levelling, Methods of levelling in brief, Contour maps.

4. Unit 4

   Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light and ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation.

5. Unit 5

   Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.

6. Unit 6

   Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle;Chemical Cycles: Carbon, Nitrogen& Phosphorus; Energy Flow in Eco-systems. Water Pollution: Water Quality standa rds, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery,Sanitary Land fill, On-Site Sanitation. Air& Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution.. Noise Pollution, Harmful Effects of noise pollution, control of noise pollution, Global warming& Climate Change, Ozone depletion, Green House effect

1. Unit 1

   Matrices: Rank of a matrix, rank -nullity theorem; System of linear equations; Symmetric, skew -symmetric and orthogonal matrices; Eigenvalues and eigenvectors; Diagonalization of matrices; Cayley -Hamilton Theorem, and Orthogonal transformation.

   10 hrs
2. Unit 2

   First order ordinary differential equations: Linear and Bernoulli‟s equations, Exact equations, Equations not of first degree: equations solvable for p, equations solvable for y, equations solvable for x and Clairaut‟s type.

   6 hrs
3. Unit 3

   Ordinary differential equations of higher orders: Linear Differential Equations of Higher order with constant coefficients, Simultaneous Linear Differential Equations, Second order linear differential equations with variable coefficients: Homogenous and Exact forms, one part of CF is known, Change of depe ndent and independent variables, method of variation of parameters, Cauchy - Euler equation; Power series solutions including Legendre differential equation and Bessel differential equations.

   12 hrs
4. Unit 4

   Partial Differential Equations – First order: Order and Degree, Formation; Linear Partial differential equations of First order, Lagrange‟s Form, Non Linear Partial Differential equations of first order, Charpit‟s method, Standard forms.

   6 hrs
5. Unit 5

   Partial Differential Equations– Higher order: Classification of Second order partial differential equations, Separation of variables method to simple problems in Cartesian coordinates including two dimensional Laplace, one dimensional Heat and one dimensional Wave equations.

   6 hrs

Total: 40 lecture hours