MATHS-II- Mathematics-II (3110015) | GTU Syllabus (Old & Revised)

Sr.	Topics	Teaching Hours
1	Vector Calculus: Parametrization of curves. Arc length of curve in space. Line Integrals, Vector fields and applications as Work, Circulation and Flux. Path independence. potential function, piecewise smooth. connected domain, simply connected domain, fundamental theorem of line integrals. Conservative fields, component test for conservative fields, exact differential forms, Div, Curl, Green's theorem in the plane (without proof). Parametrization of surfaces. surface integrals. Stoke's theorem (without proof), Divergence Theorem (without proof).	14
2	Laplace Transform Laplace Transform and inverse Laplace transform, Linearity. First Shifting Theorem (s-Shifiing). Transforms of Derivatives and Integrals. ODEs. Unit Step Function (Heaviside Function). Second Shifting Theorem (t-Shifting). Laplace transform of periodic functions. Short Impulses, Dime's Delta Function, Convolution. Integral Equations, Differentiation and Integration of Transforms. ODEs with Variable Coefficients, Systems of ODEs.	7
3	Fourier Integral Fourier Integral, Fourier Cosine Integral and Fourier Sine Integral.	2
4	First order ordinary differential equations First order ordinary differential equations. Exact, linear and Bernoulli's equations, Equations not of first degree: equations solvable for p, equations solvable for y. equations solvable for x and Clairaut's type.	5
5	Ordinary differential equations Ordinary differential equations of higher orders, Homogeneous Linear ODEs of Higher Order. Homogeneous Linear ODEs with Constant Coefficients. Euler-Cauchy Equations, Existence and Uniqueness of Solutions. Linear Dependence and Independence of Solutions. Wronskian, Nonhomogeneous ODEs, Method of Undetermined Coefficients. Solution by Variation of Parameters.	8
6	Series Solutions of ODEs Series Solutions of ODEs. Special Functions. Power Series Method, Legendre's Equation, Legendre Polynomials. Frobenius Method, Bessel's Equation. Bessel functions of the first kind and their properties.	6

 

 

MATHS -I - Mathematics-I (3110014) | GTU Syllabus (Old & Revised)

Sr.	Topics	Teaching Hours
1	Indeterminate Forms and L'Haspital's Rule Indeterminate Forms and L'Haspital's Rule.	1
2	Improper Integrals. Convergence and divergence of the integrals. Beta and Gamma finctions and their properties.	3
3	Applications of definite integral. Volume using cross-sections. Length of plane curves, Areas of Surfaces of Revolution	3
4	Convergence and divergence of sequences Convergence and divergence of sequences, The Sandwich Theorem for Sequences. The Continuous Function Theorem for Sequences. Bounded Monotonic Sequences, Convergence and divergence of an infinite series, geometric series, telescoping series, nth term test for divergent series. Combining series, Harmonic Series, Integral test, The p - series, The Comparison test. The Limit Comparison test. Ratio test. Raabe's Test. Root test, Alternating series test, Absolute and Conditional convergence, Power series. Radius of convergence of a power series. Taylor and Maclaurin series.	8
5	Fourier Series Fourier Series of 2PI periodic functions. Dirichlet's conditions for representation by a Fourier series. Orthogonality of the trigonometric system. Fourier Series of a function of period 2L.. Fourier Series of even and odd functions, Half range expansions.	4
6	Functions of several variables Functions of several variables, Limits and continuity, Test for non existence of a limit. Partial differentiation. Mixed derivative theorem. differentiability, Chain rule, Implicit differentiation, Gradient, Directional derivative, tangent plane and normal line, total differentiation, Local extreme values, Method of Lagrange Multipliers.	8
7	Functions of several variables Multiple integral, Double integral over Rectangles and general regions, double integrals as volumes. Change of order of integration, double integration in polar coordinates. Area by double integration, Triple integrals in rectangular, cylindrical and spherical coordinates. lacobian, multiple integral by substitution.	8
8	Elementary row operations in Matrix Elementary row operations in Matrix, Row echelon and Reduced row echelon forms. Rank by echelon forms. Inverse by Gauss-Jordan method. Solution of system of linear equations by Gauss elimination and Gauss-Jordan methods. Eigen values and eigen vectors. Cayley-Hamilton theorem, Diagonal iration of a matrix.	7

 

 

EGD - Engineering Graphics & Design (3110013) | GTU Syllabus (Old & Revised)

Sr.	Topics	Teaching Hours
1	Introduction to Engineering Graphics Drawing instruments and accessories, BIS – SP 46. Use of plane scales, Diagonal Scales and Representative Fraction	2
2	Loci of Points Path of the points moving on Simple mechanisms, Slider crank mechanism, Four bar mechanism	2
3	Engineering Curves Classification and application of Engineering Curves, Construction of Conics, Cycloidal Curves, Involutes and Spirals along with normal and tangent to each curve	6
4	Projections of Points and Lines Introduction to principal planes of projections, Projections of the points located in same quadrant and different quadrants, Projections of line with its inclination to one reference plane and with two reference planes. True length and inclination with the reference planes	8
5	Projections of Planes Projections of planes (polygons, circle and ellipse) with its inclination to one reference plane and with two reference planes, Concept of auxiliary plane method for projections of the plane	6
6	Projections of Solids, Section of Solids and Development of Surfaces Classification of solids. Projections of solids (Cylinder, Cone, Pyramid and Prism) along with frustum with its inclination to one reference plane and with two reference planes, Section of such solids and the true shape of the section, Development of surfaces	10
7	Orthographic Projections Fundamental of projection along with classification, Projections from the pictorial view of the object on the principal planes for view from front, top and sides using first angle projection method and third angle projection method, full sectional view	2
8	Isometric Projections and Isometric View or Drawing Isometric Scale, Conversion of orthographic views into isometric projection, isometric view or drawing of simple objects	2
9	Computer Aided Drawing Introduction to AutoCAD, Basic commands for 2D drawing like : Line, Circle, Polyline, Rectangle, Hatch, Fillet, Chamfer, Trim, Extend, Offset, Dim style, etc..	4

 

 

Physics- I - Physics Group - I (3110011) | GTU Syllabus (Old & Revised)

Sr.	Topics	Teaching Hours
1	MODULE 1: Properties of Matter 1. Concept of Load, Stress and Strain  2. Hook's Law  3. Stress-Strain Diagram  4. Ductility, Brittleness and Plasticity  5. Elastic behavior of solids  6. Working stress and factor of safety  7. Factors affecting elasticity  8. Types of Elasticity  9. Twisting couple on a cylinder or wire-shaft  10. Torsional Pendulum  11. Cantilever-Depression of Cantilever  12. Young's modulus by Cantilever  13. I-shape Griders  14. Viscosity and comparison of viscosities	7
2	MODULE 2: Waves, Motion and Acoustics 1. Simple Harmonic motion  2. Free, forced, resonance, damped and undamped vibration  3. Damped harmonic motion  4. Force vibration and amplitude resonance  5. Velocity resonance and energy intake  6. Wave motion, transverse and longitudinal vibration  7. Sound absorption and reverberation  8. Sabine's formula and usage (excluding derivation)  9. Acoustic of building	7
3	Module 3: Ultrasonic and Non distractive testing (NDT) 1. Ultrasonic waves  2. Properties of ultrasound  3. Production of ultrasonic waves : Piezoelectric and magnetostriction method  4. Detection of ultrasound  5. Application of ultrasound  6. Introduction of NDT  7. Advantages of NDT  8. NDT through ultrasound	9
4	Module 4: Superconductivity 1. Introduction of Superconductivity  2. Properties of superconductor  3. Effect of magnetic field  4. Meissner effect  5. Pressure effect  6. Impurity effect  7. Isotopic mass effect  8. Mechanism of Superconductivity : BCS Theory  9. Penetration depth : Magnetic field  10. Josephson's junction and its application  11. Application of superconductors	6
5	Module 5: Lasers 1. Properties of Laser  2. Einstein’s theory of matter radiation : A and B coefficients  3. Amplification of light by population inversion  4. Different types of lasers  5. gas lasers ( He-Ne) solid-state lasers(ruby)  6. Properties of laser beams: mono-chromaticity, coherence, directionality and brightness, laser speckles  7. Applications of lasers in science, engineering and medicinw	7

 

Workshop- Workshop (3110012) | GTU Syllabus (Old & Revised)

Sr.	Topics	Teaching Hours	Module Weightage
1	Introduction Introduction to various shops / sections and workshop layouts. Safety norms safety equipment’s to be followed in a workshop. Demonstration of hand tools, power tools, basic measuring instruments, marking and measurement. Overview of Carpentry, Fitting, Smithy shop, Welding, Tin smithy, Electrical and Electronic, Plumbing, Machine shop and machine tools.
2	Practice Students are required to prepare one job each in the following shops: Fitting, Carpentry, Smithy /Tin smithy, Electric Arc welding/ Resistance welding. Demonstrations of Jobs in following machine shops: Lathe Machine, Drilling Machine, Hacksaw Machine

 

 

ES -Environmental Science (3110007) | GTU Syllabus (Old & Revised)

Sr.	Topics	Teaching Hours
1	INTRODUCTION TO ENVIRONMENT Definition, principles and scope of Environmental Science. Impacts of technology on Environment, Environmental Degradation, Importance for different engineering disciplines	2
2	ENVIRONMENTAL POLLUTION a) Water Pollution: Introduction – Water Quality Standards, Sources of Water Pollution, Classification of water pollutants, Effects of water pollutants  b) Air Pollution: Composition of air, Structure of atmosphere, Ambient Air Quality Standards, Classification of air pollutants, Sources of common air pollutants like PM, SO2, NOX, Auto exhaust, Effects of common air pollutants  c) Noise Pollution: Introduction, Sound and Noise, Noise measurements, Causes and Effects  d) Solid Waste: Generation and management  e) Bio-medical Waste: Generation and management  f) E-waste: Generation and management	14
3	GLOBAL ENVIRONMENTAL ISSUES Sustainable Development, Climate Change, Global Warming and Green House Effect, Acid Rain, Depletion of Ozone layer, Carbon Footprint, Cleaner Development Mechanism (CDM), International Steps for Mitigating Global Change	6
4	BASIC CONCEPT OF GREEN BUILDING AND SMART CITIES Green Building: Introduction, Objectives, Fundamental Principles, Benefits of Green Building, Examples of Green Building Smart Cities: Concept	4
5	CONCEPT OF 4R’s Principles, Application of 4R’s	2

 

BME - Basic Mechanical Engineering (3110006) | GTU Syllabus (Old & Revised)

Sr.	Topics	Teaching Hours
1	Introduction Prime movers and its types, Concept of Force, Pressure, Energy, Work, Power, System, Heat, Temperature, Specific heat capacity, Change of state, Path, Process, Cycle, Internal energy, Enthalpy, Statements of Zeroth law and First law	4
2	Energy Introduction and applications of Energy sources like Fossil fuels, Nuclear fuels, Hydro, Solar, Wind, and Bio-fuels, Environmental issues like Global warming and Ozone depletion	3
3	Properties of gases Gas laws, Boyle's law, Charle's law, Combined gas law, Gas constant, Relation between cp and cv, Various non-flow processes like constant volume process, constant pressure process, Isothermal process, Adiabatic process, Polytropic process	5
4	Properties of Steam Steam formation, Types of steam, Enthalpy, Specific volume, Internal energy and dryness fraction of steam, use of steam tables, steam calorimeters	6
5	Heat Engines Heat engine cycle and Heat engine, working substances, Classification of heat engines, Description and thermal efficiency of Carnot; Rankine; Otto cycle and Diesel cycles	5
6	Steam Boilers Introduction, Classification, Cochran, Lancashire and Babcock and Wilcox boiler, Functioning of different mountings and accessories	0
7	Internal Combustion Engines Introduction, Classification, Engine details, four-stroke/ two-stroke cycle Petrol/Diesel engines, Indicated power, Brake Power, Efficiencies	4
8	Pumps Types and operation of Reciprocating, Rotary and Centrifugal pumps, Priming	3
9	Air Compressors Types and operation of Reciprocating and Rotary air compressors, significance of Multistaging	3
10	Refrigeration and Air Conditioning Refrigerant, Vapor compression refrigeration system, Vapor absorption refrigeration system, Domestic Refrigerator, Window and split air conditioners	4
11	Couplings, Clutches and Brakes Construction and applications of Couplings (Box; Flange; Pin type flexible; Universal and Oldham), Clutches (Disc and Centrifugal), and Brakes (Block; Shoe; Band and Disc)	0
12	Transmission of Motion and Power Shaft and axle, Different arrangement and applications of Belt drive; Chain drive; Friction drive and Gear drive	0
13	Engineering Materials Types, properties and applications of Ferrous & Nonferrous metals, Timber, Abrasive material, silica, ceramics, glass, graphite, diamond, plastic and polymer	4