|Important Notes : No G2CET Lateral Entry Test from 2015. Goa Lateral Entry 2015 Admission based on Qualifying Exam Score.|
G2CET 2015 Syllabus for Mathematics
1. Co – ordinate Geometry
A) Introduction. Distance and Section Formula. Area of a triangle.
B) Various forms of the equation of a straight line.
C) Distance of a point from straight line. Angle between two straight lines – conditions for lines to be parallel and perpendicular.
D) Various forms of the equation of a circle.
E) Equations of tangent and normal to the circle at the point of contact.
A) Definition of a radian – relation between degree and radian, length of an arc and area of a sector. Trigonometric ratio for any angle. Trigonometric Identities.
B) Trigonometric Ratios of allied angles, compound angles and multiple angles ( 2A – Only ). Sum or difference form ( problems based on trigonometric ratios of numerical angles should be omitted, eg. Show that sin 20 sin 40 sin 60 sin 80 = 3 / 16 ), Product formulae. ( Simple problems based on direct application of the formulae only to be asked ).
3. Limits and Function
4. Differential Calculus
A) Definition of derivative. Derivative of standard functions ( no proof ) ( no questions to be asked on derivative from first principles ). Derivative of Sum, difference product and quotient of a function.
B) Derivatives of composite functions with reference to the following functions : Algebraic.
5. Applications of Derivatives
A) Geometrical meaning of the Derivative. Equations of tangent and normal to curves.
C) Maxima and Minima ( direct problems given y as an explicit function of x ).
A) Determinants of Second and third order ( no properties ).
B) Solution of Equations in two or three variables using Cramer’s rule.
7. Binomial Theorem
A) Binomial theorem for rational index.
B) General term, middle term.
C) Term independent of x.
Derivatives of :
A) Implicit function.
B) Parametric function.
C) Logarithmic differentiation.
D) Inverse Trigonometric function.
E) Second order derivative ( definition only ).
9. Integral Calculus
A) Definition and standard forms, Integration of algebraic sum and difference of functions. Integration by Method of substitution.
B) Integration using trigonometric transformations.
∫ Sinn x dx, ∫ Cosn x dx, ∫ tann x dx, ∫ Cotn x dx
C. Integration by parts ( Integrals of the form );
10. Definite Integrals
11. Differential Equations
A) Definition, Order and degree of a differential equation. Solution of a differential equation of the first degree by the variable separable type only.
B) Second order differential equation of the type f ( x )= d2y / dx2= f ( x ).
A) Area and Volume by Simpson’s – Rule.
B) Volume and surface area of :
A) Definition of a matrix; Addition, subtraction & multiplication of matrices. Inverse of a matrix using the adjoint only.
B) Application of matrices in solving simultaneous equations in two or three variables using Matrix method.
G2CET Physics Syllabus
1. Units and Dimensions
Fundamental and Derived Units, S.I. Units, Dimensions, Dimensional Formula, Principle of Homogeneity, Use of dimensional analysis in checking the correctness of an equation. Errors in Measurements. Types of Error. Systematic Error, Constant Error, Random Error. Estimation of Errors. Absolute Error and Percentage Error.
2. Circular Motion
- Uniform Circular Motion. Angular displacement, Angular Velocity. Tangential Velocity, Radial Acceleration. Relation between linear and Angular Velocity.
- Centripetal Force and Centrifugal force – Concept and Definition. Expression for centripetal and centrifugal force ( No derivation ).
- Super elevation of roads, Expression for banking angle, Application of Centrifugal force in Centrifuge Machine.
Newton’s Law of Gravitation. Acceleration due to gravity, expression for Acceleration due to gravity. Definition of Escape velocity. Expression for Escape velocity ( no derivation ), Principle involved in Launching of satellite. Critical Velocity, Expression for Critical Velocity. Time period of a satellite ( no derivation ). Brief idea of Geo – stationery satellites, Communication satellites as Remote Sensing satellites.
4. Concepts of Properties of Matter
Elasticity; Definition of Stress, Strain and Elastic limit. Statement of Hooke’s Law. Elastic modulus, Definition of Young’s Modulus, Bulk Modulus, Rigidity Modulus. Application of elastic modulli in engineering. ( Y, K, η values of some important Engineering Materials is to be discussed ) Behaviour of a wire under continuously increasing stress, study of stress v / s strain graph. Determination of Young’s Modulus by Searle’s Method. Viscosity. Definition and concept of viscosity.
Statement of Newton’s law of viscosity and coefficient of viscosity. Terminal velocity ( no derivation ), Stroke’s law, Determination of viscosity of a liquid by Stoke’s method. Applications of Viscosity. Streamline and Turbulent flow. Definition of critical velocity, Reynolds’s Number and its uses Surface Tension. Concept and Definition of Surface Tension. Definition of Angle of Contact. Capillary rise. Expression for surface Tension using capillary rise ( no derivation ).
Application of concept of surface tension. Atmospheric pressure. Measurement of atmospheric pressure ( the mercury barometer ). Variation of atmospheric pressure with altitude. Statement of ( a ) Boyle’s law, ( b ) Charles’s law and ( c ) Gay Lussac’s law, ( P v / s V graph, P v / s T and V v / s T graph to be explained ) Derivation of General gas equation.
5. Heat and Conduction
Concept of heat and temperature. Unit of heat energy and temperature. Concept of Absolute zero. Kelvin scale of Temperature ( pressure v / s temp degree centigrade graph and P – T Kelvin graph ). Concept and definition of Specific heat. Unit of specific heat. Principle of Calorimeter. Specific heats of Gas. Specific heat of gas at constant volume and specific heat of gas at const pressure.
Change of state of a material with change in temperature. Definition and Units of Latent heat of fusion and Latent heat of Vaporization. Calculation of heat losses and heat gain. Modes of heat Transfer, Conduction, Convection and Radiation and Examples, Conduction of heat along a metal rod, Variable and steady thermal state. Law of thermal Conductivity. Definition and unit of coefficient of Thermal Conductivity. Determination of Thermal Conductivity of a good conductor by Searle’s Method. Determination of Thermal Conductivity of a bad conductor by Lee’s disc method.
Sound waves. Propagation of sound as longitudinal waves. Velocity of sound ( Laplace formula ). Effect of temperature, pressure and humidity on velocity of sound ( no derivation ). Measurement of Sound. Frequency or Pitch. Intensity of sound or Loudness. Measurement of intensity of sound wave. Definition of bel and decibel. ( no calculation ). Free, Forced oscillations. Resonance and its importance.
7. Static Electricity
Introduction to charge, Statement of Coulomb’s Law, Definition of unit charge. Electric field, Intensity of Electric field. Electric flux, Electric flux density. Relation between flux density and Intensity of Electric field. Definition of Electric line of force, Properties of electric line of force. Electric Potential and its unit. Definition and expression absolute potential at a point and Potential difference between two points. ( no derivation ) Potential of a sphere, potential of the Earth. Definition and unit of capacitance, Principle of capacitor. Capacitors in series. Capacitors in parallel. Application of capacitors.
8. Current Electricity
Electric Current : Ohm’s law, Resistance, Factors affecting resistance. Specific resistance and unit. Effect of temperature on resistance; Definition of temp coefficient of resistance and unit. General equation of Ohm’s law. Law of resistances in series. Law of resistances in parallel. Wheatstone’s network. Principle of Wheat stone’s network. Meter bridge. Internal resistance and EMF of the cell. Principle of Potentiometer. Uses. Comparison of EMF of 2 cells using a potentiometer by single cell method, Determination of internal resistance of a cell using potentiometer. Heating effect of Electric current. Joule’s law of Electric heating, Determination of J by electric method. Definition of Electric power and energy in dc circuit.
Concept of kilowatt – hour. Calculation of Energy bills See beck effect, Thermocouple. Thermoelectric series. Variation of Thermo EMF with temperature. Neutral temperature and Inversion Temperature. Law of Intermediate metals. Construction and working of thermocouple Thermometer. Peltier effect ( only concept ).
9. Electromagnetism & Electromagnetic Induction
Magnet, Magnetic poles, pole strength. Coulomb’s law of magnetism. Magnetic field, Intensity of magnetic field. Magnetic flux, flux density, relation between Magnetic Induction & intensity of Magnetic field. Magnetic effect of electric current ( Oersted’s Experiment ). Right hand thumb rule. BiotSavart’s Law ( Laplace Law ) Expression for magnetic induction at the centre of circular coil carrying current ( no derivation ).
Magnetic field due to solenoid ( qualitative discussion no expression ) Electro magnets and uses. Force acting on a straight conductor carrying current placed in a uniform magnetic field ( no derivation ). Couple acting on a rectangular coil placed in uniform magnetic field. Principle and working of moving coil galvanometer ( pivoted type ). Faraday’s laws of electromagnetic induction. Induced EMF in the conductor. Lenz’s law. Self Induction, Definition of self Inductance and it’s unit. Mutual Induction, Definition of Mutual Inductance.
Refraction. Laws of Refraction. Refractive Index. Critical angle, Total Internal refraction. Use of the concept in Optical fibres. Photometry. Definition and units of Luminosity, Luminous flux and Intensity of Illumination. Inverse square law of Illumination Principle of Photometry.
11. Photo Electric Effect
Explanation of Planck’s concept of quantum. Energy of quantum. Photoelectric effect. Characteristics of Photoelectric effect. Photoelectric cell, Photo emissive ( Vacuum type ) cell. Applications of photoelectric cells.
12. X – Rays & Ultrasonic
X – rays, productions of x – rays by Coolidge tube. Properties of x – rays engineering, Application of x – rays. Ultrasonic wave, piezo electric effect, Engineering Applications of ultrasonic wave. Ultrasonic cleaning, soldering and depth sounding ( SONAR ), detection of flaw in metal casting.
G2CET Applied Mechanics Syllabus
1. Fundamental Concepts
Classification of Mechanics : Static, dynamic ( Kinematics & Kinetics ). S.I. system of units : Basic units LMT, inter – conversion between units, inter – conversion between prefixes of units. Concept of rigid body and de – formable body. Vectors and Scalar : Definition, difference between vector quantity and scalar quantity, representation of vector quantity in magnitude & direction ( meaning of sense of a vector ), types of vectors with examples : Free, sliding and fixed. Addition of vectors : Law of Parallelogram, law of triangles, Polygon law, subtraction of vectors.
2. Force and Force Systems
Definition and units. Specifications of force as a vector : Magnitude, direction and point of application. Concept of mass and weight, units. Types of force with examples – Direct, remote action e.g. Gravity force, magnetic force, electric force. Effect of forces on a body – External, internal. Classification of forces – Concentrated, distributed over an area, distributed over a volume, uniformly distributed load, uniformly varying load, equivalent-force. Principle of transmissibility, system of forces : Collinear and non – collinear, concurrent and non – concurrent, coplanar and non – coplanar, parallel and non – parallel.
Definition and unit of a moment. Sign conventions – Clockwise and anti-clockwise. Moment as a vector : Magnitude, direction ( Right hand thumb rule ). Definition and units of a couple. Characteristics of a couple.
4. Resolution And Composition of Forces
Resolution of a force. ( Hint – Reverse of law of Parallelogram of forces and Polygon of forces ) Rectangular components : Resolution of a force into two rectangular components, independence of each rectangular component. Resolution of a force into force and couple. Resultant of a force – Definition, Parallelogram law, Triangle law, Resultant of two mutually perpendicular forces, Polygon law, resultant of non – concurrent coplanar force system by Varignon’s theorem, resultant of parallel forces.
Statement of Newton’s third law. Concept of free body diagram – Reactions of simple, hinged and fixed supports. Drawing of F.B.D. Concept of equilibrium. Definition of equilibrium and its comparison with resultant. Conditions of equilibrium for co – planar force system. Lami’s theorem. Reaction of beams subjected to u d l and concentrated loads only. ( Simply supported, hinged and roller support overhangs ).
Definition. Advantages and disadvantages. Types of friction – Static, dynamic – Sliding, rolling. Coulomb’s law of static – friction : Coefficient of friction, angle of friction ( cone of friction ), angle of repose. Equilibrium of bodies involving friction : Blocks on horizontal & inclined plane, redder friction, screw friction.
7. Kinematics ( Rectilinear Motion )
Kinematics variables – Definition & units – Displacement and distance, velocity and speed, uniform and average velocity, uniform acceleration and retardation. Problems based on kinematic equations for uniform acceleration: V = u + at. ; S = ut + ½ at2 ; V2 = u2 + 2as ; Velocity – time diagrams. Motion under gravity.
8. Centre of Gravity
Centroid of simple regular areas. ( No derivation ), Centroid of built – up ( composite ) areas; C.G. of simple regular filled solids. ( No derivation ); C.G. of built – up ( composite ) filled solids.
G2CET Syllabus for Inforamtion Technology
1. General Computer Science
Computer Fundamentals : Block diagram of a computer, functional components of a computer, interaction between the components, input – process – output model of a computer, starting a computer & switching off procedure, concept of computer virus. Computer Hardware : Output devices : Keyboard, Mouse, VDU, Printer, Modem, Processor – typical speeds, Memory – types, typical size, storage devices hard disk, floppy disk, compact disk typical size.
Importance of operating system, functions of an OS, Typical OS used. Computer software : System Software, Utility software, and application software.
2. Operating Systems : Ms Dos
File system, definition of a file, types of file : exe, com, bat sys, txt, three important files : command com, Autoexec Bat, Config Sys, Booting Procedure : from HD, from FDD, pipes filters & Wilcards, types of DOS commands; internal & external, general commands : TYPE, DATE, TIME, PROMPT, file management command : COPY, DEL, RENAME, Disk Management commands: FORMAT, CHKDSK, LABEL, VOL, EDIT & COPY CON
commands, redirecting command I / O.
Basics of Windows : Graphical User Interface, Desk Top, Start menu Pull down menu, starting and quitting windows, taskbar, status bar, scroll bar, title bar menu bar, toolbar, mouse features – move, point, click – single, double, drag, drop opening and closing documents, ( Ellipses, Arrowhead, Dialog box, Cascade menu, text box, list box, combo box, drop down list box, slider, spinner, command button ). Control menu, minimize, maximise, restore, close, resizing and moving the window. My computer and window explorer : control panel, documents and folders create, move, copy, delete, rename, search, browse, recycle bin. General Windows’s features: Help features, document-handling features, edit features, print features, switching between multiple application.
4. Common Application Software
Introduction to commonly used standard software included in office packages lime Ms Office, Open office, etc. ( at least one software on each operating system ). Basics of word processing : Text selection, opening documents and creating documents, saving documents / quitting documents, cursor control, printing documents, using the interface ( menu toolbars ), editing text ( copy delete move etc ), finding and replacing text, spell check feature / auto – correct feature, grammar facility, retrieving often used text : auto – text, character formatting, page formatting.
Document Enhancement : Adding borders and shading, adding headers and footers, setting up multiple columns, sorting blocks, adjusting margins and hyphenating documents, creating master document, creating data source merging documents, using mailmerge feature for labels and envelopes. Introduction to equation editor. Worksheet basics : Data entry in cells, entry of numbers, text and formulae, moving data in a worksheet, moving around in a worksheet, selecting data range, using the interface ( toolbars, menu ), editing basics, working with workbooks, saving and quitting, cell referencing, Pivot charts, goal analysis.
Formatting and Calculations : Calculations and worksheet – using auto – fill working with formulae, efficient data display with data formatting ( number and date ), formatting text data with auto – format, creating embedded chart using chart wizard sizing and moving parts, updating charts, changing chart types, creating separate chart sheets, adding titles, legends and gridlines, printing charts. Database management : Finding records with data forms adding / deleting records, filling records in a work sheet, queries. Presentation & Graphics : Introduction to PowerPoint of other presentation software, making presentation adding text effects, animation and sound to the presentation.
5. Network & Internet
Network of Computers : concept and advantages of networking, local area and wide area networks, e – mail, Internet and World Wide Web. Opening e – mail account : sending and receiving e – mail : surfing on web, finding required information from web. Issues relating to security.
6. Operating Systems : Linux / Unix
Kernel and shell, the featureless file, pattern matching, portability, open systems, programming facility, multi – user, multi – tasking, the Tool kit, Windowing systems, Documentation. On line help facility – the man command. The file: ordinary file, directory file, device file, structure of the file system : checking your current directory – the pwd command, changing directories – the cd command, listing out directory contents – the ls command : the long listing the – l option, significance of the listing output, other options Is., Displaying and creating files – the cat command making a Directory – the mkdir command.
Removing a Directory – the rmdir command, Relative pathnames file permissions – the chmod command : The octal notation copying a file the cp command deleting file – the rm command renaming file – the mv command. Command structure, Halted output – the more command, file types – the file command, line word and character counting – the wc command, displaying a file’s contents in octal form – the od command, comparing two files – the cmp command further comparison with comm., file differences with diff, displaying a blown – up message – the banner command, the calendar – the cal command, displaying the system date with date, login details – the who command, knowing your terminal – thetty command, setting terminal characteristics – the sty command.