Chemistry Cycle

Engineering Mathematics I (21MAT11)

Question Papers

Notes

  • Differential Calculus:
    Partial Differentiation: Basics; Euler’s theorem of first kind (only problems); Total derivatives; Jacobian; Maclaurin’s series of one and two variable; Differentiation under Integral sign.

    Applications: Problems on evaluation of non-elementary integrals using Maclaurin’s series

    Module 1
  • Ordinary Differential Equations
    Linear Equations: Bernoulli’s equation; Exact Equations; Reducible to Exact (If of the form); Orthogonal Trajectory (Cartesian only); and Newton’s law of cooling.

    Non- Linear Equations: Solve for p, Clairaut’s form (singular, general solution).

    Applications: Problems on LR circuits leading to linear differential equations.

    Module 2
  • Integral Calculus:
    Multiple Integrals: Double integrals, changing the order of integration, changing Cartesian form to polar form. Special Functions- Beta and Gamma Functions, relation between beta and gamma function, properties, and its problems (related to reduction formula of definite integral).

    Applications: Problems on centre of gravity and moment of inertia which involve evaluation of multiple integrals.

    Module 3
  • Numerical methods and Infinite Series
    Numerical methods: Types of errors in numerical methods, Solution of Algebraic and Transcendental Equation: Newton Raphson. Finite Differences: Forward and Backward, Interpolation, Lagrange’s Interpolation. Numerical Integration- Simpson’s 1/3rdrule.

    Infinite Series: Convergence of infinite series: D-Alembert’s Ratio Test, Raabe's Test, Leibniz test, absolute and conditional convergent.

    Applications: Problems on application of Newton-Raphson method to some physical contexts

    Module 4
  • Linear Algebra
    Vectors, linearly dependent and independent vectors, Solution to systems of Linear Equation: Rank, Consistency, Gauss Elimination, LU decomposition. Eigen values- Eigen vectors, Diagonalization, Gauss–Seidel Method, Rayleigh Power method.

    Applications: Problems on Kirchhoff’s law leading to solving system of linear equations. Problems on computation of inverse matrix using LU decomposition.

    Module 5
Engineering Mathematics II (21MAT21)

Question Papers

Notes

  • Higher Order Differential Equations
    Inverse Differential Operator: Particular integral of the form eax, Sinax, polynomials and eaxV(x) (up to third order) and Variation of Parameters. Differential Equation with variable coefficient: Cauchy’s and Legendre differential equations.

    Applications: Problems on LRC circuit leading to higher order differential equation. Problems on forced oscillation leading to homogeneous linear ODE

    Module 1
  • Power Series Solutions: Frobenius method of Power Series (only second order), Bessel’s Differential Equation leading to Jn(x), J1/2(x), J-1/2(x), Legendre’s Differential Equations, Rodrigues formula(without proof)-Legendre’s Polynomial.

    Module 2
  • Vector Calculus:VPDO- Gradient of a scalar field (angle between two surfaces & Directional Derivatives),Divergence and Curl of Vector field and its properties (Solenoidal and Irrotational). Line integrals, Green’s theorem, Stroke’s theorem, and Gauss Divergence theorem.

    Applications: Problems on calculating work done using line integrals. Problems on finding the outward flux of a filed using Green’s theorem

    Module 3
  • Laplace Transform
    Definition and Laplace transforms of elementary functions (statements only). Laplace transforms of Periodic functions and unit-step function (problems only). Inverse Laplace Transform: Inverse Laplace transforms by method of partial fractions, Convolution theorem to find the inverse Laplace transforms. Solution of linear differential equations using Laplace transforms.

    Applications: Problems on Laplace transforms related to electric circuits.

    Module 4
  • Advanced Linear Algebra: Vector Space, basis and span, subspace, linear Transformation (LT), Matrix representation of LT, Change of basis, Rank nullity theorem, inverse LT.

    Module 5
Engineering Chemistry (21CHE12/22)

Question Papers

Notes

  • Thermodynamics and Energy Balance
    Introduction, Terminology of thermodynamics, Zeroth law; First law of thermodynamics- Heat and work, Enthalpy, Standard Enthalpies, Bond Enthalpy; The Second Law of Thermodynamics- Entropy the Carnot Cycle; The Third Law of Thermodynamics- Entropy and Temperature-Gibbs Free Energy, Standard Gibbs Free Energies and Chemical Equilibrium.

    Electrochemical Energy Systems
    Introduction, Single Electrode Potential-origin and terminology; Derivation of Nernst Equation and its applications; Standard Electrode Potential; Measurement of Single Electrode Potential and its applications- Definition, construction of a galvanic cell; Classification of galvanic cells-primary, secondary and concentration cells; EMF of a cell-Definition, notation and conventions; Types of electrodes; Reference electrodes- calomel electrode and Ag / AgCl electrode.

    Battery Technology: A New Era Emerging: Batteries-Basic concepts, battery characteristics, Classification of batteries-primary, secondary and reserve batteries; Classical batteries-construction, working and applications of Nickel-metal hydride, lithium-MnO2 and Li ion batteries.

    Self-Study Components: Concentration Cells- construction and working; Determination of pH using Glass Electrode; Ion Selective Electrode- Principle, construction and applications.

    Module 1
  • Science of Corrosion and Electrolysis
    Corrosion: Introduction, electrochemical theory of corrosion, galvanic series. Factors affecting the rate of corrosion: ratio of anodic to cathodic areas, nature of metal, nature of corrosion product, nature of medium – pH, conductivity, and temperature.

    Types of corrosion- Differential metal, differential aeration (Pitting and water line) and stress. Corrosion control: Inorganic coatings- Anodizing of Al and phosphating; Metal Coatings-Galvanization and Tinning. Cathodic protection (sacrificial anodic and impressed current methods).

    Metal Finishing: Introduction, Technological importance.
    Electroplating: Introduction, principles governing Polarization, decomposition potential and overvoltage. Factors influencing the nature of electro deposit-current density, concentration of metal ion and electrolyte; pH, temperature and throwing power of plating bath; additives- brighteners, levellers, structure modifiers and wetting agents. Electroplating of Nickel (Watt’s Bath) and Chromium (decorative and hard).

    Self-Study Components: Electroless plating: Introduction, distinction between electroplating and electro less plating, electro less plating of copper and manufacture of double-sided Printed Circuit Board with copper.

    Module 2
  • Energy Sources
    Chemical Fuels: Introduction, classification, calorific value- gross and net calorific values, determination of calorific value of fuel using bomb calorimeter, numerical problems.
    Cracking: Introduction, fluidized catalytic cracking, synthesis of petrol by Fishcher-Tropsch process, reformation of petrol, octane and cetane numbers. Gasoline and diesel knocking and their mechanism, anti-knocking agents, power alcohol and biodiesel.

    Solar Energy: Introduction, utilization and conversion, photovoltaic cells (PV)- construction and working.
    Design of PV cells: modules, panels and arrays. Advantages and disadvantages of PV cells.

    Self-Study Components: Production of solar grade silicon: Union carbide process, purification of silicon (zone refining), doping of silicon diffusion technique (n- and p-types). Construction and working of energy storage supercapacitors.

    Module 3
  • Water Technology
    Introduction, Boilers and Boiler Troubles, Determination of hardness, DO, BOD and COD, Determination of acidity, chlorides and alkalinity. Sewage treatment: Primary, secondary (activated sludge method) and tertiary methods. Softening of water by ion- exchange process. Desalination of sea water by reverse osmosis and electro dialysis (ion selective)

    Silicate Technology
    Introduction, Cement nomenclature, manufacture of Portland cement, setting of cement, Analysis of Cement, Plaster of Paris/Gypsum Plaster.

    Refractories: Characteristics of Good Refractory Materials, Classification of refractories, Properties of Refractories, Manufacture of High-Alumina Bricks, Magnesite Bricks and Zirconia Bricks.

    Self-Study Components: Public Health Significance of heavy metal ions, fluoride, nitrate and detergents

    Module 4
  • Functional Materials for Engineers
    Polymers: Introduction, Classification of Polymers, Functionality, Mechanism of Polymerisation, Polymerisation Techniques, Molecular Weight of Polymers. Plastics, Individual Polymers, Rubbers (Elastomers), Fibres, Speciality Polymers, Properties of Polymers, Degradation of Polymer and Polymer Composites.

    Nanomaterials Introduction, Nanotechnology in the Twenty-First Century, Classification of Nanomaterials, Synthesis of Nanomaterials by Top-down and Bottom-up approaches, Properties of nanomaterials (Surface area, Magnetic, Optical, Electrical, catalytic and thermal).

    Self-Study Components: Carbon nanotubes and Graphene and their applications.

    Module 5
Basic Electrical Engineering (21ELE13/23)

Question Papers

Notes

  • DC Circuits: Ohm's Law and Kirchhoff's Laws, analysis of series, parallel and series-parallel circuits excited by independent voltage sources. Power and Energy.

    AC Fundamentals: Generation of sinusoidal voltage, frequency of generated voltage, definition and numerical values of average value, root mean square value, form factor and peak factor of sinusoidally varying voltage and current, phasor representation of alternating quantities.

    Module 1
  • Single Phase Circuits: Analysis of circuits with R, L, C, R-L, RC, R-L-C for series and parallel configurations with phasor diagram, Real power, reactive power, apparent power and power factor.

    Three Phase circuits: Advantages of 3-phase power, Generation of 3-phase power, voltage and current relations in star and delta connections.

    Module 2
  • Electrical Machines: Constructional features, Operation and applications: Single and three phase induction motors, universal motor, stepper motor, Single-phase transformers: Principle and emf equation.

    Module 3
  • Renewable and Non-Renewable Energy Resources:Sources of energy-Power generation: thermal, hydel, nuclear, Advantages of renewable energy sources, power generation Solar, Wind, Tidal, biomass, geothermal, Electrical characteristic of PV Cell.

    Module 4
  • Tariff: Tariff Schemes, Study of Electricity Bill, Calculation of electricity bill

    Protection Devices: Need of earthing, types of Earthing: Plate and Pipe Earthing, Fuse, MCB, Electrical Safety Issues, Two-way and Three-Way control of lamp.

    Battery: Types of Batteries: lead acid, Nickel-iron and lithium-ion, important characteristic of batteries: Voltage, Capacity and efficiency.

    Module 5
C Programming for Problem Solving (21CPS14/24)

Question Papers

Notes

  • Introduction to computer Hardware and Software: Computer Generations, Von Neumann Architecture, ports & its functions, Port Vs. Connector, Input and Output Devices, Types of Computer Network, basic concepts of software.

    Overview of C: Basic structure of C program, C program execution. Keywords, Constant & Variable, data types, Operators and expressions.

    Module 1
  • Managing Input and output operations in C: Reading and writing a character, C-formatted I/O Functions, Control statements in C with Programming examples.

    Module 2
  • C Array: 1-D & 2-D Arrays, return an Array in C, Passing Arrays to a function, Basic Searching & Sorting Algorithms: (Linear search, Binary search, Bubble sort and Selection sort). C Strings: string basics, String Functions.

    Module 3
  • C Functions: What is function- Advantages, Function aspects, Types of functions, Different aspects of Function call, call by value and call by reference, Programming Examples. Introduction to Recursive function. C Pointers: Pointer basics, Simple programming examples. Dynamic Memory allocation in C.

    Module 4
  • Structure: What is Structure? declaring structure variable, Accessing Members of the Structure, Programming examples.

    File Handling in C: Functions for file handling, Simple Programming examples.

    Module 5
Elements of Mechanical Engineering (21EME15/25)

Question Papers

Notes

  • Energy Sources: Sources and Classification of Energy Resources. Non-renewable and renewable energy resources, Brief Description and Utilization of Solar Energy, Wind Energy, Ocean Thermal Energy Conversion (OTEC), Geothermal Energy, Tidal Energy and Nuclear Energy. Steam: Steam Formation, Steam Properties, Boilers Classification, Lancashire boiler, Simple numerical.

    Module 1
  • Steam turbines – Classification, Principle of Operation and Working of Impulse and Reaction. Type Steam Turbines.

    Gas turbines – Classification, Working Principles and Operations of Open Cycle and Closed Cycle Gas Turbines.

    Water turbines –Classification, Principles and Working of Pelton wheel and Francis turbine

    Internal Combustion Engines: Classification, Two and Four Stroke Petrol and Diesel Engines. P-V Diagrams of Otto and Diesel Cycles. Comparison of Petrol and Diesel Engines. Comparison of two and Four Stroke Engines.

    Module 2
  • Refrigeration Air conditioning: Refrigeration - Definitions - Refrigerating effect, Ton of Refrigeration, Ice making capacity, COP, relative COP, Unit of Refrigeration. Refrigerants, Properties of refrigerants, List of commonly used refrigerants. Domestic refrigerator. Principles and applications of air conditioners.

    Power Transmission: Belt Drives – Open and Cross Belt drives, Definition-slip, creep, velocity ratio, Derivation of length of the belt in open and crossed belt drive, ratio of tension in belt drives. Gear Drives – Types of gears, velocity ratio, advantages and disadvantages over belt drives. Simple numerical problems.

    Module 3
  • Machine Tools: Lathe: Working Principle of engine lathe, Main parts of lathe, Operations on lathe: Turning, facing, knurling, thread cutting, taper turning and drilling.

    Drilling Machine: Working Principle, Operations of drilling machines, Drilling, grinding machine: working principle of cylindrical and surface grinding machines.

    Metal Joining Processes: Definitions and methods of Soldering, Brazing and Welding

    Module 4
  • Automation and Robotics: Automation: CNC Introduction, components of CNC, Advantages and disadvantages of CNC. Robotics: Introduction, Robot anatomy, Robots configuration- Polar, cylindrical, Cartesian coordinate and spherical. Applications, Advantages, and disadvantages.

    Engineering Materials: Properties, Composition and Industrial Applications of engineering materials Metals – Ferrous: cast iron, tool steels and stainless steels and Non ferrous: aluminium, brass, bronze.

    Polymers - Thermoplastics and thermosetting polymers. Ceramics - Glass, optical fiber, glass, cermet’s. Composites - Fiber reinforced composites, Metal Matrix Composites

    Module 5
Technical English (21EGH19)

Question Papers

  • Module 1

    1.1 Word Formation 1.2 Etymology, origin of foreign words and their use in English Language 1.3 Familiarizing with prefixes and suffixes from foreign languages in English to form derivatives. 1.4 Synonyms, Antonyms and Standard Abbreviations. Basic Writing Skills



    Module 2

    2.1 Structure of Sentences 2.2 Use of Idioms and phrases in sentences 2.3 Punctuation of Sentences 2.4 Syntax and Creating coherence 2.5 Organizing principles of paragraphs in documents



    Module 3

    Identifying Common Errors in Writing 3.1 Subject-verb agreement 3.2 Noun-pronoun agreement 3.3 Misplaced modifiers 3.4 Articles 3.5 Prepositions 3.6 Redundancies 3.7 Clichés



    Module 4

    Nature and Style of Proper Writing 4.1 Defining 4.2 Describing and Classifying 4.3 Illustrations with suitable examples 4.4 Formulating Introduction and Conclusion Honing Writing Skills



    Module 5

    5.1 Report Writing/Comprehension 5.2 Précis Writing 5.3 Essay Writing 5.4 Critical analysis of unknown Prose Pieces/Poems.
    Oral Communication (This unit involves interactive practice sessions in Language Lab) Listening Comprehension- Active Listening, Feedback and Response, Pronunciation, Intonation and Accent, Common Everyday Situations: Conversations and Dialogues, Communication at Workplace, Interviews, Formal and PPT Presentations

Technical Kannada (21KAN29)