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Catalogs Info Center -> manipal university under graduate entrance tests -> Go to message
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Manipal University Under Graduate Entrance Tests (Manipal UGET) Result:

 

Keep surfing www.goiit.com for Manipal University UGET results notifications.




Other Important Links
About Manipal University UGET
Degree Courses Manipal University
Contact Details Manipal University
Manipal Eligibility Criteria
Manipal Points to Ponder
Manipal Chemistry Syllabus-1
Manipal Chemistry Syllabus-2
Maths Syllabus-1
Maths Syllabus-2
Physics Syllabus-1
Physics Syllabus-2
English Syllabus
Counseling Procedure

 

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Manipal University Under Graduate Entrance Tests (Manipal UGET) Counseling:

 

Candidates qualified in Manipal University Under Graduate Entrance Test (Manipal UGET) will be allotted seats according to their rank obtained and availability of seats in manipal UGET. Only the candidates whose ranks are mentioned in the manipal uget counseling schedule are required to attend the counseling schedule. If a candidate has unavoidable circumstances from being physically present for the counseling, he/she may authorize another individual to represent him/her at the counseling.

The choice of course made by the candidate / representative is final and cannot be changed later under any circumstances.

Ties will be resolved in the manner described:

The Net Average Score (NAS) obtained during the qualifying examination will be calculated. The tied candidates will be re-ranked on the basis of NAS.


Waiting List : 

When all the seats in a given course/s of Manipal UGET are filled, candidates may choose to be wait listed. Such candidates are required to pay the fee for the degree course to which they are admitted. Failure to pay the fee will result in instantaneous forfeiture of the seat.




Other Important Links
About Manipal University UGET
Degree Courses Manipal University
Contact Details Manipal University
Manipal Eligibility Criteria
Manipal Points to Ponder
Manipal Chemistry Syllabus-1
Manipal Chemistry Syllabus-2
Maths Syllabus-1
Maths Syllabus-2
Physics Syllabus-1
Physics Syllabus-2
English Syllabus
Manipal UGET Result

Catalogs Info Center -> sikkim manipal institute of technology uget -> Go to message
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Sikkim Manipal Institute of Technology (SMIT UGET) Result & Counseling:

 

Keep surfing www.goiit.com for see latest results & counseling related notifications .





Other Important Links
About SMIT UGET Exam
Contact SIkkim Manipal University
Qualification Criteria SMIT UGET
Physics Syllabus SMIT UGET
Part 2 Physics in SMIT UGET
Paper Pattern SMIT UGET

 

 

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Paper Pattern Sikkim Manipal Institute of Technology (SMIT UGET):

 

The Sikkim Manipal (SMIT UGET) entrance exam will be of objective type with multiple choice questions. The SMIT entrance duration of the exam is of 2.30 hours & consist of

 


1.) 80 Questions from Mathematics
2.) 60 Questions from Physics
3.) 60 Questions from Chemistry
4.) 40 Questions from General English & General Aptitude



Other Important Links
About SMIT UGET Exam
Contact SIkkim Manipal University
Qualification Criteria SMIT UGET
Physics Syllabus SMIT UGET
Part 2 Physics in SMIT UGET
Result & Counseling Info

 

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Guru Gobind Singh Indraprastha University (GGSIPU CET) Entrance Syllabus:

 

B.Tech. / M.Tech. (Dual Degree) Course:
Chemical Engg. Information Technology, Computer Science & Engg., Electronics & communication Engg.,

B.Tech. (Information Technology, Computer Science & Engg., Electronics & Communication Engg., Mechanical & Automation Engg., Power Engg., Electrical & Electronics Engg., Civil Engg., Environment Engg. And Instrumentation & Control Engg.)

For the above Degrees and courses, the syllabus will be as follow ..


Physics-(33.33%)
Chemistry-(33.33%) and
Mathematics-(33.33%)
Technology programs (2nd yr/3rd semester) for Diploma Holders
Applied Mechanics-(25%)
Applied Mathematics-(25%)
Fundamentals of Electrical Engineering and Electronics-(25%)
Fundamentals of Mechanical Engineering & Computer Awareness-(2 5%).
B.Sc Level Mathematics – (40%)


Graduates (2nd yr/3rd semester)

B.Sc Level Mathematics – (40%)
English (10+2 level)-(20%)
Analytical & Logical Reasoning – (20%)
Scientific Aptitude – (20%)
Biotechnology
Physics-(25%),
Chemistry-(25%) and
Biology (Botany and Zoology)
or Biotechnology -(50%)


Other Important Links
About IPU Exam
IP University Contact Details
Eligibility Criteria GGSIPU
GGSIPU Exam Pattern
IPU Affiliated Colleges
Points to Ponder
GGSIPU Results
GGSIPU Counselling

 

Catalogs Info Center -> kerala engineering architecture medical -> Go to message
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Kerala Engineering, Agriculture & Medical (KEAM) Exam Pattern:

 

There is two papers conducted on two consecutive days in KEAM admission test . All the questions will be multiple choice questions i.e objective type. The two papers of Kerala engineering, Agriculture & medical (KEAM ) exam are-


Paper I: Chemistry & Physics
Paper II: Mathematics or Biology

Those who wish to take admission in Engineering courses except Architecture have to attempt Paper I & Paper II based on Mathematics. Those applying for Medical, Veterinary & Agriculture courses have to give Paper I & Paper II of Biology.


The filled KEAM application form along with the OMR DATA SHEET and other relevant documents, to be submitted with the Application Form, are supposed to be sent in the printed envelope bearing the address of the Commissioner for Entrance Examinations supplied along with the application form by Hand Delivery/Registered Post/Speed Post. Completed Applications will be received in the Office of the Commissioner for Entrance Examinations on holidays also.



Other Important Links
KEAM Entrance Exam
KEAM Eligibility Criteria
KEAM Points to Ponder
KEAM Colleges List
KEAM Colleges List-2
List of Colleges-3
List of Colleges-4
Physics Syllabus-1
Chemistry Syllabus
Maths Syllabus
Biology Syllabus-1
Biology Syllabus-2
Contact Center KEAM
KEAM Result
KEAM Counseling

 

Catalogs Info Center -> kerala engineering architecture medical -> Go to message
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Kerala Engineering, Architecure & Medical (KEAM) Counseling:

 

Keep surfing www.goiit.com for KEAM entrance counseling schedule.. 







Other Important Links
KEAM Entrance Exam
KEAM Eligibility Criteria
KEAM Points to Ponder
KEAM Colleges List
KEAM Colleges List-2
List of Colleges-3
List of Colleges-4
Physics Syllabus-1
Chemistry Syllabus
Maths Syllabus
Biology Syllabus-1
Biology Syllabus-2
Contact Center KEAM
KEAM Result
KEAM Entrance Pattern

Catalogs Info Center -> kerala engineering architecture medical -> Go to message
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Kerala Engineering, Architecure & Medical (KEAM) Result:

Keep surfing www.goiit.com for KEAM result notifications.


Other Important Links
KEAM Entrance Exam
KEAM Eligibility Criteria
KEAM Points to Ponder
KEAM Colleges List
KEAM Colleges List-2
List of Colleges-3
List of Colleges-4
Physics Syllabus-1
Chemistry Syllabus
Maths Syllabus
Biology Syllabus-1
Biology Syllabus-2
Contact Center KEAM
KEAM Counseling
KEAM Entrance Pattern

Catalogs Info Center -> aligarh muslim university engineering entrance exam(amu eee) -> Go to message
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Aligarh Muslim University Engineering Entrance (AMUEEE) Counseling:

 

Keep surfing www.goiit.com for AMU admission test counseling dates schedule. 

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Aligarh Muslim University Engineering Entrance (AMUEEE) Result:

 

Keep surfing www.goiit.com for latest declared AMU Engineering admission test results.  

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Aligarh Muslim University Engineering entrance (AMUEEE) Syllabus:



Bachelor of Technology (B.Tech) & Architecture (B.Arch) degree courses from the Aligarh Muslim University (AMU-Aligarh) will be possible only through AMU Engineering Entrance Exam (AMUEEE). AMU entrance questions paper will be  based on the subjects Physics, Chemistry & Mathematics of 10+2 level examination.

Topics of syllabus of AMU engineering entrance exams are as given below ..


Chemistry Paper Syllabus:


Alkali and Alkaline Earth Metals, Hydrogen and its Compounds, Group elements, Chemical Energetics, Surface chemistry, Chemical Equilibrium and chemical Kinetics, Gaseous State, Chemical Bonding, Nuclear Chemistry, Atomic Structure, Periodic Classification of Elements, Stoichiometry, Acids and Bases Electro Chemistry etc.


Physics Paper Syllabus:


Elements of vectors, nuclear physics, atomic physics, surface tension, collisions and center of mass, friction, gravitation, temperature and thermal expansion of solids, liquids and gases, semi-conductor devices and communication systems, Thermal Radiations, Electro Magnetics, Thermo Electricity, Electro Statics, Magnetism, Geometrical Optics etc.


Mathematics Paper Syllabus:


Calculus, probability, trigonometry, coordinate geometry, vector algebra, algebra etc.

 

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Aligarh Muslim University Engineering Entrance (AMUEEE) Eligibility Criteria:

 

Candidates must study qualification criteria guidelines before to fill the AMU engineering entrance application form.

 

 

1.) The candidates must have passed Higher Secondary Certificate Examination or its equivalent under 10+2 examination scheme, from any recognized state/national Board.

2.) The candidates should have acquired not less than 50% marks in aggregate in Physics, Chemistry and Mathematics each, in the qualifying examination.

3.) The aspirants, who have completed their diploma in the field of engineering from any recognized University, are also eligible to apply for appearing in the competitive examination.

 

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AMRITA EEE 2012 COUSELLING SCHEDULE - B.TECH ADMISSION

Date

Forenoon
08:30 to 1:30

Afternoon
12:30 – 05:30

 

SC/ST Candidates

4th June

1 to 10000

10001 to 20000

General (Open & State Quota Candidates)

5th June

1 to 400

401 to 800

6th June

801 to 1200

1201 to 1600

7th June

1601 to 2000

2001 to 2400

8th June

2401 to 2800

2801 to 3200

9th June

3201 to 3800

3801 to 4500

10th June – Sunday OFF

Counselling for State Quota Candidates

11th June

4501 to 5500

5501 to 6500

12th June

6501 to 7750

7751 to 9000




 

 

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Amrita Engineering Entrance Exam (Amrita EEE) Result:

 

Amrita EEE 2012 exam result has been declared by Amrita university. Candidates who have appeared in the exam, can check their result here http://admissions.amrita.edu/results/btech12/

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Amrita Engineering Entrance Examination FAQs:

 

Candidates preparaing for Amrita Engineering admission test shortout/clear your doubts...



Q. 1. What is the procedure to get admission for B.Tech. in Amrita University.?

Answer: A candidate should have a pass in the final examination of 10+2 ( XII ) or its equivalent securing 60% or above marks in Mathematics, 55% or above in Physics and Chemistry with an aggregate of 60% in the three subjects (or ) a three year Diploma in Engineering with a minimum 60% marks, awarded by any State Board of Technical Education and also should appear for Amrita Entrance Exam to be eligible to get admission based on his / her rank in the entrance exam. Age restrictions apply.

Q.  2. Can a candidate who has scored high rank in any other national or state entrance exam get direct admission in Amrita?

Answer: No. Only candidates who appeared for Amrita Entrance exam 2011 are eligible for admission.

Q.  3. Is Amrita Vishwa Vidyapeetham affiliated to any University for purpose of recognition of degree?

Answer: No. Amrita Vishwa Vidyapeetham is University established under sec 3 of UGC Act 1956. Being a University, the question of affiliation to another university does not arise. Since the university is recognized by UGC and Ministry of HRD, Govt. of India, the courses offered by Amrita University are recognized. The University is accredited by National Assessment and Accreditation Council (NAAC) with ‘A’ Grade in 2009.

Q.  4. How is Amrita B.Tech. Programme designed?

Answer: Choice Based credit system with continuous evaluation is followed in a semester pattern.

Q.  5. Is campus transfer possible after joining the B.Tech. programme in anyone of the Amrita campuses?

Answer: No. There is no such provision for campus transfer.

Q.  6. How many students presently studying in the University?

Answer:  At present around 15,000 students are studying in the five campuses of the University.

Q.  7. What is faculty student ratio for the engineering programmes?

Answer: 1 : 12

Q.  8. Where should I attend the counseling for B.Tech. admission?

Answer: You can attend the counselling in any one of the three campuses at your convenience and opt any branch in any one of the three campus according to the availability of seat at the time of your counselling. However, candidates who passed +2 from Karnataka state are advised to attend the counseling at Bengaluru campus only.

Q.  9. At the time of counselling, is the presence of candidate compulsory?

Answer: Yes, the candidate along with his parent or guardian shall be present at the counselling desk.

Q. 10. At the time of counseling, is it enough if I produce Photostat copies of my certificates?  

Answer:  Sorry. Original certificates are to be produced ( see section 20 in the Information Handbook.

Q. 11  If I do not receive call letter in time to attend the counselling, what can I do?

Answer : The rank list and  counselling schedule will be published in the university website. Candidates who do not get the intimation letter shall check the website and if their rank is included for counselling, they may attend the counselling with all their original certificates as specified. Moreover they may contact the university office in this regard before the date of counselling.

Q 12. In XII class exam my average marks in Physics, Chemistry and Mathematics is above 60% but in Physics the score is less than 55%. Can I attend the counseling?

Answer: No. One should have passed XII class exam scoring 60% minimum in Mathematics and 55% and above separately in Physics and Chemistry with an average of 60% in the three subjects to attend the counseling.

Q 13. After admission, if one wants to withdraw from the programme, what about the refund of fees?

Answer: Refer to the section 21 in the Information Handbook. Refund will be given as per the regulations of the Govt. of India.

Q 14.    What are the career options after the completion of Amrita B.Tech.Programme?

Answer : Our Aluminous are pursuing their higher studies in reputed institutions like
a. Vrije University, Netherlands,   b. Malarden University, Stokholm, Sweden,
c. National Institute of Technology, Calicut,   d. Indian Institute of Science, Bengaluru

Coaching is given for competitive exams like GATE, GRE, TOFEL, and FRENCH Language.

Q 15.    What are the facilities available in the Library?.

Answer: All the library books are digitalized and students can access from their system through Amrita Vidya ( Library access system ).

Q 16.     What are the facilities available in the GYM?

Answer: The Gym is equipped with the following equipments

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Chemistry Syllabus Amrita Engineering Entrance (Amrita EEE):

To be a topper in Amrita engineering entrance exam, concentrate on physics syllabus of Amrita engineering also mathematics too.   


a.) BASIC CONCEPTS


Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.

b.) ATOMIC STRUCTURE, CHEMICAL BONDING AND MOLECULAR STRUCTURE

Bohr’s model, de Broglie’s and Heisenberg’s principles, Quantum mechanical model, Orbital concept and filling up of electrons; Bond formation and bond parameters; Valence bond and molecular orbital theory; VSEPR theory; Hybridization involving s, p and d orbital; Hydrogen bond.

c.) EQUILIBRIUM AND THERMODYNAMICS

Law of chemical equilibrium and Equilibrium Constant; Homogeneous and Heterogeneous equilibria; LeChatelier’s principle, Ionic equilibrium; Acids, Bases, Salts and Buffers; Solubility product; Thermodynamic state; Enthalpy, Entropy and Gibb’s free energy; Heats of reactions; Spontaneous and non-spontaneous processes.

d.) ELECTROCHEMISTRY, KINETICS AND SURFACE CHEMISTRY


Specific, molar and equivalent conductance of weak and strong electrolytes; Kohlrausch law; Electrochemical cells and Nernst equation; batteries, fuel cells and corrosion. Rate of a reaction and factors affecting the rate: Rate constant, order and molecularity, collision theory. Physisorption and chemisorptions; colloids and emulsions; homogeneous and heterogeneous catalysis.

e.) SOLID STATE AND SOLUTIONS

Molecular, ionic, covalent and metallic solids; amorphous and crystalline solids; crystal lattices and Unit cells; packing efficiency and imperfections; electrical and magnetic properties. Normality, molarity and molality of solutions, vapour pressure of liquid solutions; ideal and non-ideal solutions, colligative properties; abnormality.

f.) HYDROGEN


Position of hydrogen in the periodic table; dihydrogen and hydrides- preparation and properties; water, hydrogen peroxide and heavy water; hydrogen as a fuel.

g.) S - BLOCK ELEMENTS

Group 1 and 2 Alkali and Alkaline earth elements; general characteristics of compounds of the elements; anomalous behavior of the first element; preparation and properties of compounds like sodium and calcium carbonates, sodium chloride, sodium hydroxide; biological importance of sodium, potassium and calcium.

h.) P - BLOCK ELEMENTS


Groups 13 to 17 elements: General aspects like electronic configuration, occurrence, oxidation states, trends in physical and chemical properties of all the families of elements; compounds of boron like borax, boron hydrides and allotropes of carbon; compounds of nitrogen and phosphorus, oxygen and sulphur; oxides and oxyacids of halogens.

i.) D, F - BLOCK ELEMENTS

Electronic configuration and general characteristics of transition metals; ionization enthalpy, ionic radii, oxidations states and magnetic properties; interstitial compounds and alloy formation; lanthanides and actinoids and their applications.

j.) CO-ORDINATION COMPOUNDS

Werner’s theory and IUPAC nomenclature of coordination compounds; coordination number and isomerism; Bonding in coordination compounds and metal carbonyls and stability; application in analytical methods, extraction of metals and biological systems.

k.) BASIC ORGANIC CHEMISTRY AND TECHNIQUES


Tetravalence of carbon and shapes or organic compounds; electronic displacement in a covalent bond –inductive and electromeric effects, resonance and hyperconjugation; hemolytic and heterolytic cleavage of covalent bond – free radicals, carbocations, carbanions electrophiles and nucleophiles; methods of purification of organic compounds; qualitative and quantitative analysis.

l.) HYDROCARBONS, HALOALKANES AND HALOARENES

Alkanes, alkenes,alkynes and aromatic hydrocarbons; IUPAC nomenclature, isomerism; conformation of ethane, geometric isomerism, general methods of preparation and properties, free radical mechanism of halogenations, Markownikoff’s addition and peroxide effect; benzene, resonance and aromaticity, substitution reactions; Nature of C-X bond in haloalkanes and haloarenes; mechanism of substitution reactions.

m.) ALCOHOLS, PHENOLS AND ETHERS

IUPAC nomenclature, general methods of preparation, physical and chemical properties, identification of primary, secondary and tertiary alcohols, mechanism of dehydration; electrophillic substitution reactions.

n.) ALDEHYDES, KETONES, CARBOXYLIC ACIDS AND AMINES

Nomenclature, general methods of preparation, physical and chemical properties of the group members; nucleophilic addition and its mechanism; reactivity of alpha hydrogen in aldehydes; mono and dicarboxylic acids-preparation and reactions; identification of primary, secondary and tertiary amines; preparation and reactions of diazonium salts and their importance in synthesis.

o.) POLYMERS AND BIOMOLECULES

Natural and synthetic polymers, methods of polymerization, copolymerization, molecular weight of polymers, Polymers of commercial importance,Carbohydrates: mono, oligo and polysaccharides; Proteins Alpha amino acid, peptide linkage and polypeptides: Enzymes, Vitamins and Nucleic acids (DNA and RNA)

p.) ENVIRONMENTAL CHEMISTRY

Air, water and soil pollution, chemical reactions in atmosphere, acid rain; ozone and its depletion; green house effect and global warming; pollution control.

q.) CHEMISTRY IN EVERYDAY LIFE

Drugs and their interaction; chemicals as analgesics, tranquilizers, antiseptics, antibiotics, antacids and antihistamines; Chemicals in food- preservatives, artificial sweetening agents; cleansing agents – soaps and detergents.

Also prepare Amrita engineering entrance mathematics through describe mathematics syllabus.

More Amrita EEE Syllabus
Amrita Entrance Physics Syllabus
Amrita Exam Maths Syllabus

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Physics Syllabus Amrita Engineering Entrance Exam (Amrita EEE):


Along with mathematics course syllabus in Amrita engineering entrance, candidates must prepare physics syllabus to crack Amrita Engineering admission test through Amrita EEE.

 
a.) UNITS AND DIMENSIONS

Units for measurement, system of units, SI, fundamental and derived units, dimensions and their applications.

b.) MECHANICS

Motion in straight line, uniform and non-uniform motion, uniformly accelerated motion and its applications Scalars and Vectors, and their properties; resolution of vectors, scalar and vector products; uniform circular motion and its applications, projectile motion Newton’s Laws of motion; conservation of linear momentum and its applications, laws of friction, Concept of work, energy and power; energy-kinetic and potential; conservation of energy; different forms of energy. Elastic collisions in one and two dimensions. Center of mass of a many particle system; center of mass of a rigid body, rotational motion and torque. Angular momentum and its conservation. Moments of inertia, parallel and perpendicular axes theorem, moment of inertia for a thin rod, ring, disc and sphere. Gravitation: Acceleration due to gravity and its properties. One and two dimensional motion under gravity. Universal law of gravitation, planetary motion, Kepler’s laws, artificial satellite-geostationary satellite, gravitational potential energy near the surface of earth, gravitational potential and escape velocity.

h.) SOLIDS AND FLUIDS

Solids: Elastic properties, Hooke’s law, Young’s modulus, bulk modulus, modulus of rigidity.Liquids: Cohesion and adhesion; surface energy and surface tension; flow of fluids, Bernoulli’s theorem and its applications; viscosity, Stoke’s Law, terminal velocity.

(i.) OSCILLATIONS AND WAVES

Periodic motion, simple harmonic motion and its equation, oscillations of a spring and simple pendulum. Wave motion, properties of waves, longitudinal and transverse waves, superposition of waves, Progressive and standing waves. Free and forced oscillations, resonance, vibration of strings and air columns, beats, Doppler effect.

(ii.) HEAT AND THERMODYNAMICS

Thermal expansion of solids, liquids and gases and their specific heats, relationship between Cp and Cv for gases, first and second laws of thermodynamics , Carnot cycle, efficiency of heat engines. Transference of heat; thermal conductivity; black body radiations, Kirchoff’s law, Wein’s Law, Stefan’s law of radiation and Newton’s law of cooling.

(iii.) ELECTROSTATICS,CURRENT ELECTRICITY AND MAGNETOSTATICS


Coloumb’s law, dielectric constant, electric field, lines of force, field due to dipole , electric flux, Gauss’s theorem and its applications; electric potential, potential due to a point charge; conductors and insulators,distribution of charge on conductors; capacitance, parallel plate capacitor, combination of capacitors, energy stored in a capacitor. Electric current : Cells-primary and secondary, grouping of cells; resistance and specific resistivity and its temperature dependence. Ohm’s law, Kirchoff’s Law. Series and parallel circuits; Wheatstone’s Bridge and potentiometer with their applications. Heating effects of current, electric power, concept of thermoelectricity-Seebeck effect and thermocouple; chemical effect of current- Faraday’s laws of electrolysis. Magnetic effects: Oersted’s experiment, Biot Savert’s law, magnetic field due to straight wire, circular loop and solenoid, force on a moving charge in a uniform magnetic field(Lorentz force),forces and torques on a current carrying conductor in a magnetic field, force between current carrying wires, moving coil galvanometer and conversion to
ammeter and voltmeter.

Magnetostatics: Bar magnet, magnetic field, lines of force, torque on a bar magnet in a magnetic field, earth’s magnetic field; para, dia and ferro magnetism, magnetic induction, magnetic susceptibility.

d.) ELECTROMAGNETIC INDUCTION AND ELECTROMAGNETIC WAVES

Induced e.m.f., Faraday’s law, Lenz’s law, self and mutual inductance; alternating currents, impedance and reactance, power in ac; circuits with L C and R series combination, resonant circuits, transformer and AC generator. Electromagnetic waves and their characteristics; electromagnetic spectrum from gamma to radio waves.

e.) RAY AND WAVE OPTICS

Reflection and refraction of light at plane and curved surfaces, total internal reflection; optical fiber; deviation and dispersion of light by a prism; telescope, Wave nature of lens formula, magnification and resolving power; light, interference, Young’s double experiment; thin films, microscope and Newton’s rings. Diffraction: diffraction due to a single slit; diffraction grating, polarization and applications.

f.) MODERN PHYSICS

Dual nature of Radiation - De Broglie relation, photoelectric effect, Alpha particle scattering experiment, atomic masses, size of the nucleus; radioactivity, alpha, beta and gamma particles/rays. Radioactive decay law, half life and mean life of radio active nuclei; Nuclear binding energy, mass energy relationship, nuclear fission and nuclear fusion. Energy bands in solids, conductors, insulators and semiconductors, pn junction, diode, diode as a rectifier, transistor action, transistor as an amplifier.




More Amrita EEE Syllabus
Amrita Exam Chemistry Syllabus
Amrita Engg Maths Syllabus

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Maths Syllabus Amrita Engineering Entrance (AmritaEEE):

 

a.) Complex Numbers

Complex numbers in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, Modulus and argument (or amplitude) of a complex number, square root of a complex number. Cube roots of unity, triangle inequality.

b.) Linear Inequalities

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.

c.) Permutations and Combinations

Fundamental principle of counting; Permutation as an arrangement and combination as selection, Meaning of P(n,r)and C(n,r).Simple applications.

d.)
Binomial Theorem

Binomial theorem for positive integral indices. Pascal’s triangle. General and middle terms in binomial expansions, simple applications.

e.) Sequences and Series

Arithmetic, Geometric and Harmonic progressions. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers. Relation between A.M., G.M. and H.M. Special series n, n2, n3. Arithmetico-Geometric Series, Exponential and Logarithmic Series.

f.) Matrices and Determinants


Determinants and matrices of order two and three, Properties of determinants. Evaluation of determinants. Addition and multiplication of matrices, adjoint and inverse of matrix. Solution of simultaneous linear equations using determinants .

g.) Quadratic Equations

Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, Nature of roots, formation of quadratic equations with given roots;

h.) Relations and Functions


Definition of a relation. Domain, codomain and range of a relation. Function as special kind of relation and their domain, codomain and range. Real valued function of a real variable. Constant, identity, polynomial, rational. Modulus, signum and greatest integer functions. Sum. Difference, product and quotient of functions.

Types of relations: refelexive, symmetric, transitive and equivalence relations. One to one and onto functions.Composite functions, inverse of a function.

i.) Trigonometry

Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including centroid, incentre, circumcentre and orthocentre, solution of triangles. Heights and distances.

j.) Measures of Central Tendency and Dispersion

Calculation of Mean, Median and Mode of grouped and ungrouped data. Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

k.) Probability

Probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Bayes’ theorem, Probability distribution of a random variate; Binomial and Poisson distributions and their properties.

l.) Differential Calculus

Polynomials, rational, trigonometric, logarithmic and exponential functions. Graphs of simple functions. Limits, Continuity; differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Applications of derivatives: Maxima and Minima of functions one variable, tangents and normals, Rolle’s and Langrage’s Mean Value Theorems.

m.) Integral Calculus

Integral as an anti derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral as a limit of sum. Properties of definite integrals. Evaluation of definite integral; Determining areas of the regions bounded by simple curves.

n.) Differential Equations

Ordinary differential equations, their order and degree. Formation of differential equation. Solutions of differential equations by the method of separation of variables. Solution of Homogeneous and linear differential equations, and those of type d2y/dx2= f(x).

o.) Two Dimensional Geometry

Review of Cartesian system of rectangular co-ordinates in a plane, distance formula, area of triangle, condition for the collinearity of three points, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

p.) The straight line and pair of straight lines


Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line .Equations of internal and external bisectors of angles between two lines, equation of family lines passing through the point of intersection of two lines, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of
lines, condition for the general second degree equation to represent a pair of lines, point of intersections and angles between two lines.

q.) Circles and Family of Circles

Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the end points of a diameter are given, points of intersection of a line and circle with the centre at the origin and condition for a line to be tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.

r.) Conic Sections

Sections of cones, equations of conic sections ( parabola, ellipse and hyperbola) in standard forms, conditions for y = mx+c to be a tangent and point(s) of tangency.

s.) Vector Algebra

Vector and scalars, addition of two vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, scalar and vector triple product. Application of vectors to plane geometry.

t.) Three Dimensional Geometry

Distance between two points. Direction cosines of a line joining two points. Cartesian and vector equation of a line. Coplanar and skew lines. Shortest distance between two lines.Cartesian and vector equation of a plane. Angle between (i) two lines (ii) two planes (iii) a line and a plane Distance of a point from a plane.

 

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