RGPV 1st Year Syllabus

1. Unit 1Calculus

   Rolle’s theorem · Mean Value theorems · Expansion of functions by Mc. Laurin’s and Taylor’s for one variable · Taylor’s theorem for function of two variables · Partial Differentiation · Maxima & Minima (two and three variables) · Method of Lagranges Multipliers

2. Unit 2Calculus

   Definite Integral as a limit of a sum and Its application in summation of series · Beta and Gamma functions and their properties · Applications of definite integrals to evaluate surface areas and volumes of revolutions · Multiple Integral · Change the order of the integration · Applications of multiple integral for calculating area and volumes of the curves

3. Unit 3Sequences and series

   Convergence of sequence and series · Tests for convergence · Power series · Taylor's series · Series for exponential, trigonometric and logarithm functions · Fourier series · Half range sine and cosine series · Parseval’s theorem

4. Unit 4Vector Spaces

   Vector Space · Vector Sub Space · Linear Combination of Vectors · Linearly Dependent · Linearly Independent · Basis of a Vector Space · Linear Transformations

5. Unit 5Matrices

   Rank of a Matrix · Solution of Simultaneous Linear Equations by Elementary Transformation · Consistency of Equation · Eigen Values and Eigen Vectors · Diagonalization of Matrices · Cayley-Hamilton theorem and its applications to find inverse

1. Unit 1Wave nature of particles and the Schrödinger equation

   Introduction to quantum mechanics · Wave nature of particles · Operator formalism · Time‑dependent Schrödinger equation · Time‑independent Schrödinger equation · Particle in a one‑dimensional box · Born interpretation of the wavefunction · Free‑particle wavefunction and wave‑packets · Group velocity (v_g) and phase velocity (v_p) relations · Heisenberg uncertainty principle

2. Unit 2Wave optics

   Huygens’ principle · Superposition of waves · Interference of light: Young’s double‑slit experiment, Newton’s rings, Michelson interferometer, Mach‑Zehnder interferometer · Fraunhofer diffraction from a single slit and a circular aperture · Rayleigh criterion for resolution and its application to vision · Diffraction gratings and their resolving power

3. Unit 3Introduction to solids

   Free‑electron theory of metals · Fermi level for intrinsic and extrinsic semiconductors · Density of states · Bloch’s theorem for electrons in a periodic potential · Kronig‑Penney model (conceptual overview) · Origin of energy bands in solids · Current‑voltage characteristics of p‑n junctions · Zener diode operation · Solar cell fundamentals · Hall effect

4. Unit 4Lasers

   Einstein A and B coefficients for matter‑radiation interaction · Population inversion and optical amplification · Gas lasers: He‑Ne, CO₂ · Solid‑state lasers: ruby, Nd‑based lasers · Laser beam properties: monochromaticity, coherence, directionality, brightness · Laser speckles and applications in science, engineering, and medicine · Introduction to optical fibers: acceptance angle, numerical aperture, V‑number, attenuation

5. Unit 5Electrostatics in vacuum

   Electric field and electrostatic potential for various charge distributions · Electric displacement vector · Basic concepts of dielectrics · Vector calculus operators: gradient, divergence, curl · Stokes’ theorem · Gauss’ theorem · Continuity equation for charge density · Maxwell’s equations in vacuum and non‑conducting media · Poynting vector and electromagnetic energy flow

6. Unit 6== END OF UNITS==

1. Unit 1Unit I: Materials

   Classification of engineering material · Composition of cast iron and carbon steels and the iron‑carbon diagram · Alloy steels and their applications · Mechanical properties: strength, hardness, toughness, ductility, brittleness, malleability · Tensile test – stress‑strain diagram of ductile and brittle materials · Hooke’s law and modulus of elasticity · Hardness and impact testing of materials (BHN, etc.)

2. Unit 2Unit II: Measurement

   Concept of measurements and measurement errors · Temperature, pressure, velocity, flow and strain measurement · Force and torque measurement · Vernier caliper, micrometer, dial gauge, slip gauge, sine‑bar and combination set

3. Unit 3Unit III: Production Engineering

   Elementary theoretical aspects of production processes such as casting, carpentry and welding · Introduction to lathe and drilling machines and their various operations

4. Unit 4Unit IV: Fluids

   Fluid properties – pressure, density and viscosity; classification of fluids · Newton’s law of viscosity and Pascal’s law · Bernoulli’s equation for incompressible fluids · Working principle of hydraulic machines, pumps, turbines and reciprocating pumps

5. Unit 5Unit V: Thermodynamics and Reciprocating Machines

   Thermodynamic system, properties, state and process; Zeroth, First and Second laws of thermodynamics · Thermodynamic processes at constant pressure, volume, enthalpy and entropy · Steam engineering – classification and working of boilers, mountings, efficiency, performance analysis, natural and artificial draught, steam properties and steam tables · Reciprocating machines – working principle of steam engine, Carnot, Otto, Diesel and Dual cycles with P‑V and T‑S diagrams and efficiencies · Two‑stroke and four‑stroke petrol and diesel engines, compressor operation

1. Unit 1Building Materials & Construction

   Stones, bricks, cement, lime, timber‑types, properties, test & uses, laboratory tests on concrete and mortar · Workability and strength properties of concrete; nominal proportion of concrete, preparation, compaction and curing · Elements of building construction: conventional spread footings, RCC footings, brick masonry walls, plastering and pointing, floors, roofs, doors, windows, lintels, staircases and their suitability

2. Unit 2Surveying & Positioning

   Introduction to surveying instruments – levels, theodolites, plane tables and related devices · Electronic surveying instruments and related devices · Measurement of distances – conventional and EDM methods · Measurement of directions by various methods · Measurement of elevations by various methods · Reciprocal leveling

3. Unit 3Mapping & Sensing

   Mapping details and contouring, profile cross‑sectioning, measurement of areas and volumes, application of measurements in quantity computations, survey stations · Introduction to remote sensing and its applications

4. Unit 4Forces and Equilibrium (Engineering Mechanics)

   Graphical and analytical treatment of concurrent and non‑concurrent forces, free‑body diagram, force diagram and Bow’s notation · Application of equilibrium concepts: analysis of plane trusses using method of joints and method of sections · Frictional forces in equilibrium problems

5. Unit 5Centre of Gravity and Moment of Inertia (Engineering Mechanics)

   Centroid and centre of gravity · Moment of inertia of area and mass, radius of gyration, product of inertia and principal axes · Support reactions, shear force and bending moment diagrams for cantilever and simply supported beams with concentrated, distributed loads and couples

1. Unit 1UNIT I – Computer Fundamentals

   Definition and Classification of computers · Computer organization: CPU, registers, bus architecture, instruction set · Memory and storage systems · Input/Output devices · System and application software · Computer applications in e‑Business, bio‑informatics, health care, remote sensing & GIS, meteorology and climatology · Computer gaming, multimedia and animation

2. Unit 2UNIT II – Algorithms, Programming Fundamentals and C++ Basics

   Introduction to algorithms, complexity analysis and flowcharts · Fundamentals of programming and categories of programming languages · Program design and programming paradigms (procedural vs. object‑oriented) · Concepts of OOP: characteristics and principles · Introduction to C++: character set, tokens, precedence and associativity · C++ program structure, data types, variables, operators, expressions and statements · Control structures, I/O operations, arrays and functions

3. Unit 3UNIT III – Object‑Oriented Concepts and Data Structures

   Objects and classes, scope resolution operator · Constructors and destructors, friend functions · Inheritance (single, multiple, hierarchical, hybrid) and polymorphism · Function and operator overloading, virtual functions · Introduction to data structures

4. Unit 4UNIT IV – Computer Networking and Security

   Computer networking fundamentals: goals, ISO‑OSI model and layer functions · Internetworking concepts, networking devices, TCP/IP model · Internet, World Wide Web and e‑commerce basics · Computer security basics: viruses, worms, malware, Trojans, spyware · Security threats: money laundering, information theft, cyber‑pornography, email spoofing, DoS attacks, cyber‑stalking, logic bombs, hacking, spamming, defamation, pharming · Security measures: firewalls, best practices, computer ethics · Overview of cyber laws and internet fraud prevention

5. Unit 5UNIT V – Database Management Systems and Cloud Computing

   Introduction to DBMS: file‑oriented vs. database approach · Data models, DBMS architecture and data independence · Data dictionary, DBA responsibilities, primary keys · Data definition language (DDL) and data manipulation language (DML) · Cloud computing concepts: definition, cloud infrastructure · Service delivery models (IaaS, PaaS, SaaS) · Deployment models (public, private, community, hybrid) · Advantages and disadvantages of cloud computing

1. Unit 1Language Laboratory Sessions

   Introducing oneself, family, social roles. · Public Speaking and oral skills with emphasis on conversational practice, extempore speech, JAM (Just a minute sessions), describing objects and situations, giving directions, debate, telephonic etiquette. · Reading Comprehension: Intensive reading skills, rapid reading, and reading aloud (Reading material to be selected by the teacher). · Writing a book review. Standard text must be selected by the teacher. · Role plays: preparation and delivery of topics selected by teacher/faculty.

1. Unit 1Water – Analysis, Treatments and Industrial Applications

   Sources of water · Impurities in water · Hardness and its units · Determination of hardness by EDTA method · Alkalinity determination and related numerical problems

2. Unit 2Boiler Problems & Softening Methods

   Boiler troubles: sludge and scale · Boiler troubles: priming and foaming · Boiler corrosion and caustic embrittlement · Softening methods: lime‑soda process · Softening methods: zeolite process · Softening methods: ion‑exchange process · Related numerical problems

3. Unit 3Lubricants and Lubrication

   Introduction to lubrication · Mechanism of lubrication · Classification of lubricants · Viscosity and viscosity‑index determination · Flash and fire points · Cloud and pour points · Aniline point · Acid number · Saponification number · Steam‑emulsification number · Related numerical problems

4. Unit 4Polymer & Polymerisation

   Introduction to polymers · Types of polymerisation · Classification of polymers · Mechanism of polymerisation: free‑radical · Mechanism of polymerisation: ionic · Thermoplastic and thermosetting polymers · Biodegradable polymers · Properties and uses of PVC · Properties and uses of PMMA · Properties and uses of Teflon · Properties and uses of Nylon 6 and Nylon 6:6 · Properties and uses of polyester‑phenol‑formaldehyde · Properties and uses of urea‑formaldehyde · Properties and uses of Buna N and Buna S · Vulcanisation of rubber

5. Unit 5Phase Equilibrium and Corrosion

   Phase diagram of single‑component system (water) · Phase diagram of binary eutectic system (Cu‑Ag) · Corrosion types, mechanisms and prevention

6. Unit 6Spectroscopic Techniques and Applications

   Principles of spectroscopic techniques · Instrumentation and applications · Electronic spectroscopy · Vibrational spectroscopy of diatomic molecules · Rotational spectroscopy of diatomic molecules

7. Unit 7Periodic Properties

   Effective nuclear charge · Orbital‑energy variations (s, p, d, f) · Electronic configuration · Atomic and ionic sizes · Electron affinity and electronegativity · Polarizability · Oxidation states

1. Unit 1Identifying Common errors in writing

   Articles · Subject‑Verb Agreement · Prepositions · Active and Passive Voice · Reported Speech (Direct and Indirect) · Sentence Structure

2. Unit 2Vocabulary building and Comprehension

   Acquaintance with prefixes and suffixes from foreign languages to form derivatives · Synonyms and antonyms · Reading comprehension

3. Unit 3Communication

   Introduction, meaning and significance of communication · Process of communication · Oral and written communication · The 7 C’s of communication · Barriers to communication and ways to overcome them · Importance of communication for technical students · Non‑verbal communication

4. Unit 4Developing Writing Skills

   Planning, drafting and editing · Precise writing and précis · Technical definition and technical description · Report writing – features of a good report · Structure of a formal report · Report of trouble, laboratory report, progress report

5. Unit 5Business Correspondence

   Importance of business letters · Parts and layout of business letters · Application of business letters · Contents of a good resume and guidelines for writing a resume · Calling / sending quotation, order, complaint, e‑mail and tender

1. Unit 1DC Circuits

   Voltage and current sources (independent and dependent) · Units and dimensions · Source conversion · Ohm’s law · Kirchhoff’s laws · Superposition theorem · Thevenin’s theorem · Mesh analysis · Nodal analysis · Star‑delta transformation · Power and energy calculations in resistive circuits

2. Unit 21‑Phase AC Circuits

   Generation of sinusoidal AC voltage · Average, RMS values, form factor and peak factor · Phasor concept · Power factor · Impedance and admittance · Active, reactive and apparent power · Analysis of R‑L, R‑C, R‑L‑C series and parallel circuits · Three‑phase AC fundamentals: phase sequence, balanced/unbalanced supply and loads · Relationship between line and phase quantities for star and delta connections · Power measurement in balanced and unbalanced three‑phase systems

3. Unit 3Magnetic Circuits

   Definitions of magnetic circuits · Magnetisation characteristics of ferromagnetic materials · Self‑inductance and mutual inductance · Energy storage in linear magnetic systems · Series connection of coils · AC excitation of magnetic circuits · Magnetic field produced by current‑carrying conductors · Force on a current‑carrying conductor · Induced voltage and laws of electromagnetic induction

4. Unit 4Electrical Machines

   Construction, classification and working principles of DC machines · Construction, classification and working principles of induction machines · Construction, classification and working principles of synchronous machines · Slip concept in three‑phase induction motors · Torque‑slip characteristics of induction motors · Types of losses in electrical machines · Applications of DC, induction and synchronous machines

5. Unit 5Basic Electronics

   Number systems and conversions used in digital electronics · De Morgan’s theorem · Logic gates (AND, OR, NOT, NAND, NOR, XOR, XNOR) · Half‑adder and full‑adder circuits · RS and JK flip‑flops · Semiconductor fundamentals · Diode I‑V characteristics · Bipolar junction transistor (BJT) operation and configurations (CE, CB, CC) · Modes of operation of BJT

1. Unit 1Module 1: Introduction to Engineering Drawing

   Principles of Engineering Graphics and their significance · Usage of drawing instruments · Lettering · Conic sections including rectangular hyperbola · Cycloid, epicycloid, hypocycloid and involute · Scales – plain, diagonal and vernier scales

2. Unit 2Module 2: Orthographic Projections

   Principles of orthographic projections and conventions · Projection of points and lines inclined to both planes · Projection of inclined planes and auxiliary planes

3. Unit 3Module 3: Projections of Regular Solids and Floor Plans

   Projections of regular solids and inclined solids with auxiliary views · Simple annotation, dimensioning and scale · Floor plan drawing including windows, doors, and fixtures (WC, bath, sink, shower, etc.)

4. Unit 4Module 4: Sections and Sectional Views of Right Angular Solids

   Sections and sectional views of right angular solids (prism, cylinder, pyramid, cone) with auxiliary views · Development of surfaces of right regular solids · Drawing sectional orthographic views of geometric solids and industry/dwelling objects (foundation to slab only)

5. Unit 5Module 5: Isometric Projections

   Principles of isometric projection and isometric scale · Isometric views and conventions · Isometric views of lines, planes, simple and compound solids · Conversion of isometric views to orthographic views and vice‑versa

6. Unit 6Module 6: Overview of Computer Graphics and CAD Theory

   Computer graphics technologies impacting graphical communication · Theory of CAD software – menu system, toolbars, drawing area, dialogs, shortcut menus, command line, status bar, zoom methods, select/erase objects · Isometric views of lines, planes, simple and compound solids (CAD implementation)

7. Unit 7Module 7: Customisation & CAD Drawing

   Setup of drawing page and printer including scale settings · Setting up units and drawing limits · ISO and ANSI standards for coordinate dimensioning and tolerancing · Orthographic constraints and snapping to objects (manual and automatic) · Producing drawings using coordinate input methods for straight lines and circles

8. Unit 8Module 8: Annotations, Layering & Other Functions

   Applying dimensions and annotations to objects · Layer setup and usage – creating, editing and customizing layers · Modifying line lengths (extend/lengthen) · Printing drawings to paper · Orthographic projection techniques · Drawing sectional views of composite right regular geometric solids and projecting true shapes · CAD modelling of parts and assemblies – parametric and non‑parametric solid, surface and wireframe models · Part editing and two‑dimensional documentation of models · Planar projection theory – perspective, isometric, multiview, auxiliary and section views · Spatial visualization exercises · Dimensioning guidelines and tolerancing techniques · Multi‑view dimensioning and scaling for dwelling drawings

9. Unit 9Module 9: Design Project and BIM Introduction

   Team design project illustrating geometry and topology of engineered components · Creation of engineering models and presentation in standard 2D blueprint form and as 3D wire‑frame and shaded solids · Meshed topologies for engineering analysis and tool‑path generation for component manufacture · Geometric dimensioning and tolerancing (GD&T) · Use of solid‑modeling software for creating associative models at component and assembly levels · Floor plans including windows, doors and fixtures (WC, bath, sink, shower, etc.) · Applying colour coding according to building drawing practice · Drawing sectional elevation showing foundation to ceiling · Introduction to Building Information Modelling (BIM)

10. Unit 10== END OF UNITS==

1. Unit 1Manufacturing Methods – Casting, Forming, Machining, Joining, Advanced Manufacturing

   Fundamentals of casting processes · Forming techniques and operations · Machining operations and principles · Joining methods including welding and brazing · Overview of advanced manufacturing methods

2. Unit 2CNC Machining and Additive Manufacturing

   Computer Numerical Control (CNC) machining concepts · Programming and operation of CNC machines · Principles of additive manufacturing (3‑D printing) · Comparison of subtractive vs additive processes

3. Unit 3Fitting Operations & Power Tools

   Fit‑up techniques for assemblies · Selection and use of hand power tools · Safety procedures while using power tools · Practical fitting exercises

4. Unit 4Electrical & Electronics Workshop

   Basic electrical safety · Use of multimeters, oscilloscopes and other test equipment · Wiring, circuit assembly and troubleshooting · Fundamental electronic components and their testing

5. Unit 5Carpentry

   Wood properties and selection · Hand and power tools for woodworking · Joinery techniques (dovetail, mortise & tenon, etc.) · Fabrication of simple wooden components

6. Unit 6Plastic Moulding & Glass Cutting

   Thermoplastic molding processes · Thermoset moulding basics · Glass cutting techniques and safety · Practical moulding and cutting exercises

7. Unit 7Metal Casting

   Sand casting fundamentals · Pattern making and core preparation · Molten metal handling and pouring · Defect analysis in cast components

8. Unit 8Welding (Arc & Gas) and Brazing

   Arc welding principles and techniques · Gas welding (oxy‑acetylene) fundamentals · Brazing processes and filler material selection · Weld joint preparation, inspection and safety

9. Unit 9Workshop Practice – Machine Shop

   Operation of lathe, milling and drilling machines · Precision measurement and inspection · Machining of simple components · Safety and workshop housekeeping

10. Unit 10Workshop Practice – Fitting Shop

    Assembly of mechanical components · Use of hand tools for fitting and alignment · Fit tolerance verification · Practical fitting projects

11. Unit 11Workshop Practice – Carpentry

    Wood cutting, shaping and joining · Construction of simple wooden fixtures · Surface finishing of wood products · Safety in carpentry workshop

12. Unit 12Workshop Practice – Electrical & Electronics

    Wiring of simple circuits · Testing and troubleshooting of electrical assemblies · Use of soldering iron and connectors · Safety protocols for electrical work

13. Unit 13Workshop Practice – Welding Shop

    Arc welding (SMAW) practical sessions – 4 hrs · Gas welding (oxy‑acetylene) practical sessions – 4 hrs · Weld joint preparation and post‑weld inspection · Welding safety and PPE usage

14. Unit 14Workshop Practice – Casting

    Preparation of moulds and cores · Melting and pouring of metal · Cooling, shake‑out and cleaning of castings · Defect identification and remedial actions

15. Unit 15Workshop Practice – Smithy (Blacksmithing)

    Heating and shaping of metal billets · Forging techniques and tool usage · Heat treatment basics · Safety in blacksmithing operations

16. Unit 16Workshop Practice – Plastic Moulding & Glass Cutting

    Preparation of plastic moulds and processing parameters · Operating glass cutting equipment · Finishing of plastic and glass components · Safety considerations for both processes

The unit-wise syllabus for this subject is not on CampusPrep yet. Open the subject page.

The unit-wise syllabus for this subject is not on CampusPrep yet. Open the subject page.

1. Unit 1Ordinary Differential Equations I

   Differential Equations of First Order and First Degree (Leibnitz linear, Bernoulli’s, Exact) · Differential Equations of First Order and Higher Degree · Higher order differential equations with constants coefficients · Homogeneous Linear Differential equations · Simultaneous Differential Equations

2. Unit 2Ordinary differential Equations II

   Second order linear differential equations with variable coefficients · Method of variation of parameters · Power series solutions · Legendre polynomials · Bessel functions of the first kind and their properties

3. Unit 3Partial Differential Equations

   Formulation of Partial Differential equations · Linear and Non-Linear Partial Differential Equations · Homogeneous Linear Partial Differential Equations with Constants Coefficients

4. Unit 4Functions of Complex Variable

   Analytic Functions · Harmonic Conjugate · Cauchy-Riemann Equations · Line Integral · Cauchy-Goursat theorem · Cauchy Integral formula · Singular Points · Poles & Residues · Residue Theorem · Application of Residues theorem for Evaluation of Real Integral (Unit Circle)

5. Unit 5Vector Calculus

   Differentiation of Vectors · Scalar and vector point function · Gradient · Geometrical meaning of gradient · Directional Derivative · Divergence and Curl · Line Integral · Surface Integral · Volume Integral · Gauss Divergence · Stokes and Green theorems

1. Unit 1Water – Analysis, Treatments and Industrial Applications

   Sources of water · Impurities in water · Hardness and its units · Determination of hardness by EDTA method · Alkalinity determination and related numerical problems

2. Unit 2Boiler Problems & Softening Methods

   Boiler troubles: sludge and scale · Boiler troubles: priming and foaming · Boiler corrosion and caustic embrittlement · Softening methods: lime‑soda process · Softening methods: zeolite process · Softening methods: ion‑exchange process · Related numerical problems

3. Unit 3Lubricants and Lubrication

   Introduction to lubrication · Mechanism of lubrication · Classification of lubricants · Viscosity and viscosity‑index determination · Flash and fire points · Cloud and pour points · Aniline point · Acid number · Saponification number · Steam‑emulsification number · Related numerical problems

4. Unit 4Polymer & Polymerisation

   Introduction to polymers · Types of polymerisation · Classification of polymers · Mechanism of polymerisation: free‑radical · Mechanism of polymerisation: ionic · Thermoplastic and thermosetting polymers · Biodegradable polymers · Properties and uses of PVC · Properties and uses of PMMA · Properties and uses of Teflon · Properties and uses of Nylon 6 and Nylon 6:6 · Properties and uses of polyester‑phenol‑formaldehyde · Properties and uses of urea‑formaldehyde · Properties and uses of Buna N and Buna S · Vulcanisation of rubber

5. Unit 5Phase Equilibrium and Corrosion

   Phase diagram of single‑component system (water) · Phase diagram of binary eutectic system (Cu‑Ag) · Corrosion types, mechanisms and prevention

6. Unit 6Spectroscopic Techniques and Applications

   Principles of spectroscopic techniques · Instrumentation and applications · Electronic spectroscopy · Vibrational spectroscopy of diatomic molecules · Rotational spectroscopy of diatomic molecules

7. Unit 7Periodic Properties

   Effective nuclear charge · Orbital‑energy variations (s, p, d, f) · Electronic configuration · Atomic and ionic sizes · Electron affinity and electronegativity · Polarizability · Oxidation states

1. Unit 1Calculus

   Rolle’s theorem · Mean Value theorems · Expansion of functions by Mc. Laurin’s and Taylor’s for one variable · Taylor’s theorem for function of two variables · Partial Differentiation · Maxima & Minima (two and three variables) · Method of Lagranges Multipliers

2. Unit 2Calculus

   Definite Integral as a limit of a sum and Its application in summation of series · Beta and Gamma functions and their properties · Applications of definite integrals to evaluate surface areas and volumes of revolutions · Multiple Integral · Change the order of the integration · Applications of multiple integral for calculating area and volumes of the curves

3. Unit 3Sequences and series

   Convergence of sequence and series · Tests for convergence · Power series · Taylor's series · Series for exponential, trigonometric and logarithm functions · Fourier series · Half range sine and cosine series · Parseval’s theorem

4. Unit 4Vector Spaces

   Vector Space · Vector Sub Space · Linear Combination of Vectors · Linearly Dependent · Linearly Independent · Basis of a Vector Space · Linear Transformations

5. Unit 5Matrices

   Rank of a Matrix · Solution of Simultaneous Linear Equations by Elementary Transformation · Consistency of Equation · Eigen Values and Eigen Vectors · Diagonalization of Matrices · Cayley-Hamilton theorem and its applications to find inverse

1. Unit 1Identifying Common errors in writing

   Articles · Subject‑Verb Agreement · Prepositions · Active and Passive Voice · Reported Speech (Direct and Indirect) · Sentence Structure

2. Unit 2Vocabulary building and Comprehension

   Acquaintance with prefixes and suffixes from foreign languages to form derivatives · Synonyms and antonyms · Reading comprehension

3. Unit 3Communication

   Introduction, meaning and significance of communication · Process of communication · Oral and written communication · The 7 C’s of communication · Barriers to communication and ways to overcome them · Importance of communication for technical students · Non‑verbal communication

4. Unit 4Developing Writing Skills

   Planning, drafting and editing · Precise writing and précis · Technical definition and technical description · Report writing – features of a good report · Structure of a formal report · Report of trouble, laboratory report, progress report

5. Unit 5Business Correspondence

   Importance of business letters · Parts and layout of business letters · Application of business letters · Contents of a good resume and guidelines for writing a resume · Calling / sending quotation, order, complaint, e‑mail and tender

1. Unit 1DC Circuits

   Voltage and current sources (independent and dependent) · Units and dimensions · Source conversion · Ohm’s law · Kirchhoff’s laws · Superposition theorem · Thevenin’s theorem · Mesh analysis · Nodal analysis · Star‑delta transformation · Power and energy calculations in resistive circuits

2. Unit 21‑Phase AC Circuits

   Generation of sinusoidal AC voltage · Average, RMS values, form factor and peak factor · Phasor concept · Power factor · Impedance and admittance · Active, reactive and apparent power · Analysis of R‑L, R‑C, R‑L‑C series and parallel circuits · Three‑phase AC fundamentals: phase sequence, balanced/unbalanced supply and loads · Relationship between line and phase quantities for star and delta connections · Power measurement in balanced and unbalanced three‑phase systems

3. Unit 3Magnetic Circuits

   Definitions of magnetic circuits · Magnetisation characteristics of ferromagnetic materials · Self‑inductance and mutual inductance · Energy storage in linear magnetic systems · Series connection of coils · AC excitation of magnetic circuits · Magnetic field produced by current‑carrying conductors · Force on a current‑carrying conductor · Induced voltage and laws of electromagnetic induction

4. Unit 4Electrical Machines

   Construction, classification and working principles of DC machines · Construction, classification and working principles of induction machines · Construction, classification and working principles of synchronous machines · Slip concept in three‑phase induction motors · Torque‑slip characteristics of induction motors · Types of losses in electrical machines · Applications of DC, induction and synchronous machines

5. Unit 5Basic Electronics

   Number systems and conversions used in digital electronics · De Morgan’s theorem · Logic gates (AND, OR, NOT, NAND, NOR, XOR, XNOR) · Half‑adder and full‑adder circuits · RS and JK flip‑flops · Semiconductor fundamentals · Diode I‑V characteristics · Bipolar junction transistor (BJT) operation and configurations (CE, CB, CC) · Modes of operation of BJT

1. Unit 1Module 1: Introduction to Engineering Drawing

   Principles of Engineering Graphics and their significance · Usage of drawing instruments · Lettering · Conic sections including rectangular hyperbola · Cycloid, epicycloid, hypocycloid and involute · Scales – plain, diagonal and vernier scales

2. Unit 2Module 2: Orthographic Projections

   Principles of orthographic projections and conventions · Projection of points and lines inclined to both planes · Projection of inclined planes and auxiliary planes

3. Unit 3Module 3: Projections of Regular Solids and Floor Plans

   Projections of regular solids and inclined solids with auxiliary views · Simple annotation, dimensioning and scale · Floor plan drawing including windows, doors, and fixtures (WC, bath, sink, shower, etc.)

4. Unit 4Module 4: Sections and Sectional Views of Right Angular Solids

   Sections and sectional views of right angular solids (prism, cylinder, pyramid, cone) with auxiliary views · Development of surfaces of right regular solids · Drawing sectional orthographic views of geometric solids and industry/dwelling objects (foundation to slab only)

5. Unit 5Module 5: Isometric Projections

   Principles of isometric projection and isometric scale · Isometric views and conventions · Isometric views of lines, planes, simple and compound solids · Conversion of isometric views to orthographic views and vice‑versa

6. Unit 6Module 6: Overview of Computer Graphics and CAD Theory

   Computer graphics technologies impacting graphical communication · Theory of CAD software – menu system, toolbars, drawing area, dialogs, shortcut menus, command line, status bar, zoom methods, select/erase objects · Isometric views of lines, planes, simple and compound solids (CAD implementation)

7. Unit 7Module 7: Customisation & CAD Drawing

   Setup of drawing page and printer including scale settings · Setting up units and drawing limits · ISO and ANSI standards for coordinate dimensioning and tolerancing · Orthographic constraints and snapping to objects (manual and automatic) · Producing drawings using coordinate input methods for straight lines and circles

8. Unit 8Module 8: Annotations, Layering & Other Functions

   Applying dimensions and annotations to objects · Layer setup and usage – creating, editing and customizing layers · Modifying line lengths (extend/lengthen) · Printing drawings to paper · Orthographic projection techniques · Drawing sectional views of composite right regular geometric solids and projecting true shapes · CAD modelling of parts and assemblies – parametric and non‑parametric solid, surface and wireframe models · Part editing and two‑dimensional documentation of models · Planar projection theory – perspective, isometric, multiview, auxiliary and section views · Spatial visualization exercises · Dimensioning guidelines and tolerancing techniques · Multi‑view dimensioning and scaling for dwelling drawings

9. Unit 9Module 9: Design Project and BIM Introduction

   Team design project illustrating geometry and topology of engineered components · Creation of engineering models and presentation in standard 2D blueprint form and as 3D wire‑frame and shaded solids · Meshed topologies for engineering analysis and tool‑path generation for component manufacture · Geometric dimensioning and tolerancing (GD&T) · Use of solid‑modeling software for creating associative models at component and assembly levels · Floor plans including windows, doors and fixtures (WC, bath, sink, shower, etc.) · Applying colour coding according to building drawing practice · Drawing sectional elevation showing foundation to ceiling · Introduction to Building Information Modelling (BIM)

10. Unit 10== END OF UNITS==

1. Unit 1Manufacturing Methods – Casting, Forming, Machining, Joining, Advanced Manufacturing

   Fundamentals of casting processes · Forming techniques and operations · Machining operations and principles · Joining methods including welding and brazing · Overview of advanced manufacturing methods

2. Unit 2CNC Machining and Additive Manufacturing

   Computer Numerical Control (CNC) machining concepts · Programming and operation of CNC machines · Principles of additive manufacturing (3‑D printing) · Comparison of subtractive vs additive processes

3. Unit 3Fitting Operations & Power Tools

   Fit‑up techniques for assemblies · Selection and use of hand power tools · Safety procedures while using power tools · Practical fitting exercises

4. Unit 4Electrical & Electronics Workshop

   Basic electrical safety · Use of multimeters, oscilloscopes and other test equipment · Wiring, circuit assembly and troubleshooting · Fundamental electronic components and their testing

5. Unit 5Carpentry

   Wood properties and selection · Hand and power tools for woodworking · Joinery techniques (dovetail, mortise & tenon, etc.) · Fabrication of simple wooden components

6. Unit 6Plastic Moulding & Glass Cutting

   Thermoplastic molding processes · Thermoset moulding basics · Glass cutting techniques and safety · Practical moulding and cutting exercises

7. Unit 7Metal Casting

   Sand casting fundamentals · Pattern making and core preparation · Molten metal handling and pouring · Defect analysis in cast components

8. Unit 8Welding (Arc & Gas) and Brazing

   Arc welding principles and techniques · Gas welding (oxy‑acetylene) fundamentals · Brazing processes and filler material selection · Weld joint preparation, inspection and safety

9. Unit 9Workshop Practice – Machine Shop

   Operation of lathe, milling and drilling machines · Precision measurement and inspection · Machining of simple components · Safety and workshop housekeeping

10. Unit 10Workshop Practice – Fitting Shop

    Assembly of mechanical components · Use of hand tools for fitting and alignment · Fit tolerance verification · Practical fitting projects

11. Unit 11Workshop Practice – Carpentry

    Wood cutting, shaping and joining · Construction of simple wooden fixtures · Surface finishing of wood products · Safety in carpentry workshop

12. Unit 12Workshop Practice – Electrical & Electronics

    Wiring of simple circuits · Testing and troubleshooting of electrical assemblies · Use of soldering iron and connectors · Safety protocols for electrical work

13. Unit 13Workshop Practice – Welding Shop

    Arc welding (SMAW) practical sessions – 4 hrs · Gas welding (oxy‑acetylene) practical sessions – 4 hrs · Weld joint preparation and post‑weld inspection · Welding safety and PPE usage

14. Unit 14Workshop Practice – Casting

    Preparation of moulds and cores · Melting and pouring of metal · Cooling, shake‑out and cleaning of castings · Defect identification and remedial actions

15. Unit 15Workshop Practice – Smithy (Blacksmithing)

    Heating and shaping of metal billets · Forging techniques and tool usage · Heat treatment basics · Safety in blacksmithing operations

16. Unit 16Workshop Practice – Plastic Moulding & Glass Cutting

    Preparation of plastic moulds and processing parameters · Operating glass cutting equipment · Finishing of plastic and glass components · Safety considerations for both processes

The unit-wise syllabus for this subject is not on CampusPrep yet. Open the subject page.

The unit-wise syllabus for this subject is not on CampusPrep yet. Open the subject page.

1. Unit 1Wave nature of particles and the Schrödinger equation

   Introduction to quantum mechanics · Wave nature of particles · Operator formalism · Time‑dependent Schrödinger equation · Time‑independent Schrödinger equation · Particle in a one‑dimensional box · Born interpretation of the wavefunction · Free‑particle wavefunction and wave‑packets · Group velocity (v_g) and phase velocity (v_p) relations · Heisenberg uncertainty principle

2. Unit 2Wave optics

   Huygens’ principle · Superposition of waves · Interference of light: Young’s double‑slit experiment, Newton’s rings, Michelson interferometer, Mach‑Zehnder interferometer · Fraunhofer diffraction from a single slit and a circular aperture · Rayleigh criterion for resolution and its application to vision · Diffraction gratings and their resolving power

3. Unit 3Introduction to solids

   Free‑electron theory of metals · Fermi level for intrinsic and extrinsic semiconductors · Density of states · Bloch’s theorem for electrons in a periodic potential · Kronig‑Penney model (conceptual overview) · Origin of energy bands in solids · Current‑voltage characteristics of p‑n junctions · Zener diode operation · Solar cell fundamentals · Hall effect

4. Unit 4Lasers

   Einstein A and B coefficients for matter‑radiation interaction · Population inversion and optical amplification · Gas lasers: He‑Ne, CO₂ · Solid‑state lasers: ruby, Nd‑based lasers · Laser beam properties: monochromaticity, coherence, directionality, brightness · Laser speckles and applications in science, engineering, and medicine · Introduction to optical fibers: acceptance angle, numerical aperture, V‑number, attenuation

5. Unit 5Electrostatics in vacuum

   Electric field and electrostatic potential for various charge distributions · Electric displacement vector · Basic concepts of dielectrics · Vector calculus operators: gradient, divergence, curl · Stokes’ theorem · Gauss’ theorem · Continuity equation for charge density · Maxwell’s equations in vacuum and non‑conducting media · Poynting vector and electromagnetic energy flow

6. Unit 6== END OF UNITS==

1. Unit 1Ordinary Differential Equations I

   Differential Equations of First Order and First Degree (Leibnitz linear, Bernoulli’s, Exact) · Differential Equations of First Order and Higher Degree · Higher order differential equations with constants coefficients · Homogeneous Linear Differential equations · Simultaneous Differential Equations

2. Unit 2Ordinary differential Equations II

   Second order linear differential equations with variable coefficients · Method of variation of parameters · Power series solutions · Legendre polynomials · Bessel functions of the first kind and their properties

3. Unit 3Partial Differential Equations

   Formulation of Partial Differential equations · Linear and Non-Linear Partial Differential Equations · Homogeneous Linear Partial Differential Equations with Constants Coefficients

4. Unit 4Functions of Complex Variable

   Analytic Functions · Harmonic Conjugate · Cauchy-Riemann Equations · Line Integral · Cauchy-Goursat theorem · Cauchy Integral formula · Singular Points · Poles & Residues · Residue Theorem · Application of Residues theorem for Evaluation of Real Integral (Unit Circle)

5. Unit 5Vector Calculus

   Differentiation of Vectors · Scalar and vector point function · Gradient · Geometrical meaning of gradient · Directional Derivative · Divergence and Curl · Line Integral · Surface Integral · Volume Integral · Gauss Divergence · Stokes and Green theorems

1. Unit 1Unit I: Materials

   Classification of engineering material · Composition of cast iron and carbon steels and the iron‑carbon diagram · Alloy steels and their applications · Mechanical properties: strength, hardness, toughness, ductility, brittleness, malleability · Tensile test – stress‑strain diagram of ductile and brittle materials · Hooke’s law and modulus of elasticity · Hardness and impact testing of materials (BHN, etc.)

2. Unit 2Unit II: Measurement

   Concept of measurements and measurement errors · Temperature, pressure, velocity, flow and strain measurement · Force and torque measurement · Vernier caliper, micrometer, dial gauge, slip gauge, sine‑bar and combination set

3. Unit 3Unit III: Production Engineering

   Elementary theoretical aspects of production processes such as casting, carpentry and welding · Introduction to lathe and drilling machines and their various operations

4. Unit 4Unit IV: Fluids

   Fluid properties – pressure, density and viscosity; classification of fluids · Newton’s law of viscosity and Pascal’s law · Bernoulli’s equation for incompressible fluids · Working principle of hydraulic machines, pumps, turbines and reciprocating pumps

5. Unit 5Unit V: Thermodynamics and Reciprocating Machines

   Thermodynamic system, properties, state and process; Zeroth, First and Second laws of thermodynamics · Thermodynamic processes at constant pressure, volume, enthalpy and entropy · Steam engineering – classification and working of boilers, mountings, efficiency, performance analysis, natural and artificial draught, steam properties and steam tables · Reciprocating machines – working principle of steam engine, Carnot, Otto, Diesel and Dual cycles with P‑V and T‑S diagrams and efficiencies · Two‑stroke and four‑stroke petrol and diesel engines, compressor operation

1. Unit 1Building Materials & Construction

   Stones, bricks, cement, lime, timber‑types, properties, test & uses, laboratory tests on concrete and mortar · Workability and strength properties of concrete; nominal proportion of concrete, preparation, compaction and curing · Elements of building construction: conventional spread footings, RCC footings, brick masonry walls, plastering and pointing, floors, roofs, doors, windows, lintels, staircases and their suitability

2. Unit 2Surveying & Positioning

   Introduction to surveying instruments – levels, theodolites, plane tables and related devices · Electronic surveying instruments and related devices · Measurement of distances – conventional and EDM methods · Measurement of directions by various methods · Measurement of elevations by various methods · Reciprocal leveling

3. Unit 3Mapping & Sensing

   Mapping details and contouring, profile cross‑sectioning, measurement of areas and volumes, application of measurements in quantity computations, survey stations · Introduction to remote sensing and its applications

4. Unit 4Forces and Equilibrium (Engineering Mechanics)

   Graphical and analytical treatment of concurrent and non‑concurrent forces, free‑body diagram, force diagram and Bow’s notation · Application of equilibrium concepts: analysis of plane trusses using method of joints and method of sections · Frictional forces in equilibrium problems

5. Unit 5Centre of Gravity and Moment of Inertia (Engineering Mechanics)

   Centroid and centre of gravity · Moment of inertia of area and mass, radius of gyration, product of inertia and principal axes · Support reactions, shear force and bending moment diagrams for cantilever and simply supported beams with concentrated, distributed loads and couples

1. Unit 1UNIT I – Computer Fundamentals

   Definition and Classification of computers · Computer organization: CPU, registers, bus architecture, instruction set · Memory and storage systems · Input/Output devices · System and application software · Computer applications in e‑Business, bio‑informatics, health care, remote sensing & GIS, meteorology and climatology · Computer gaming, multimedia and animation

2. Unit 2UNIT II – Algorithms, Programming Fundamentals and C++ Basics

   Introduction to algorithms, complexity analysis and flowcharts · Fundamentals of programming and categories of programming languages · Program design and programming paradigms (procedural vs. object‑oriented) · Concepts of OOP: characteristics and principles · Introduction to C++: character set, tokens, precedence and associativity · C++ program structure, data types, variables, operators, expressions and statements · Control structures, I/O operations, arrays and functions

3. Unit 3UNIT III – Object‑Oriented Concepts and Data Structures

   Objects and classes, scope resolution operator · Constructors and destructors, friend functions · Inheritance (single, multiple, hierarchical, hybrid) and polymorphism · Function and operator overloading, virtual functions · Introduction to data structures

4. Unit 4UNIT IV – Computer Networking and Security

   Computer networking fundamentals: goals, ISO‑OSI model and layer functions · Internetworking concepts, networking devices, TCP/IP model · Internet, World Wide Web and e‑commerce basics · Computer security basics: viruses, worms, malware, Trojans, spyware · Security threats: money laundering, information theft, cyber‑pornography, email spoofing, DoS attacks, cyber‑stalking, logic bombs, hacking, spamming, defamation, pharming · Security measures: firewalls, best practices, computer ethics · Overview of cyber laws and internet fraud prevention

5. Unit 5UNIT V – Database Management Systems and Cloud Computing

   Introduction to DBMS: file‑oriented vs. database approach · Data models, DBMS architecture and data independence · Data dictionary, DBA responsibilities, primary keys · Data definition language (DDL) and data manipulation language (DML) · Cloud computing concepts: definition, cloud infrastructure · Service delivery models (IaaS, PaaS, SaaS) · Deployment models (public, private, community, hybrid) · Advantages and disadvantages of cloud computing

1. Unit 1Language Laboratory Sessions

   Introducing oneself, family, social roles. · Public Speaking and oral skills with emphasis on conversational practice, extempore speech, JAM (Just a minute sessions), describing objects and situations, giving directions, debate, telephonic etiquette. · Reading Comprehension: Intensive reading skills, rapid reading, and reading aloud (Reading material to be selected by the teacher). · Writing a book review. Standard text must be selected by the teacher. · Role plays: preparation and delivery of topics selected by teacher/faculty.