GBTU/MMTU/MTU/UPSEE-2012 ELIGIBILITY CRITERIA (Admission Notification)

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ELIGIBILITY TO APPEAR IN UPSEE-2012 FOR ADMISSION TO FIRST YEAR OF B.TECH. / B.PHARM. / B.ARCH. / BHMCT / BFAD
(i) The subject combination required in the qualifying examination (intermediate examination of U. P. Board or 10+2 level examination or its equivalent) for admission to first year of different courses shall be as under:-


Course=Compulsory Subjects=Anyone of the following Subjects
B. Tech. =Physics & Mathematics =Chemistry, Bio-Technology, Biology
B. Tech.(Bio-Technology)=(i) Physics & (ii)Mathematics OR Biology=Chemistry, Bio-Technology
B. Pharm =Physics & Chemistry=Mathematics Bio-Technology, Biology
B. Arch.=Mathematics & Physics=Chemistry, Computer Science, Biology, Engineering Drawing
B.Tech. (Agriculture Engg.)=Agriculture discipline. *
BHMCT / BFAD=Any discipline.

(ii) For admission to first year of B. Tech. / B. Pharm., candidate must have clearly passed without grace, intermediate examination of U. P. Board or 10+2 level examination or its equivalent from any recognized Board / University; securing minimum 45% marks (40% marks for SC/ST Category candidates) without grace in required subject combination of two compulsory subjects and one optional subject taken together as given in clause 3.1 (i).
(iii) For admission to first year of BHMCT/BFAD, candidate must have clearly passed without grace, intermediate examination of U. P. Board or 10+2 level examination or its equivalent from any recognized Board / University; securing minimum 45% marks without grace (40% marks for SC/ST category candidates) in aggregate.
(iv) For admission to first year of B. Arch., a candidate must have clearly passed without grace, intermediate examination of U. P. Board or 10 + 2 level examination or its equivalent from any recognized Board / University; securing (i) minimum 50% marks in aggregate and (ii) clearly passed without grace, each compulsory and optional subjects taken together as given in clause 3.1(i).
A candidate possessing three years Diploma in Architecture (10+3) recognized by Central / State Govt., is also eligible for admission to first year of B. Arch. only, provided the candidate has passed the Diploma examination securing minimum 50% marks in aggregate. Such candidates will have to appear in the entrance examination for first year of B. Arch. Paper 4 (clause 4.3).
(v)* All candidates who are eligible for admission in B.Tech. Courses are also eligible for B.Tech. (Agriculture Engineering)

ELIGIBILITY TO APPEAR IN UPSEE-2012 FOR ADMISSION TO FIRST YEAR OF MBA / MCA
Please note that this examination brochure is not applicable to the admission for first year in MBA/MCA course. The examination for MBA & MCA will be conducted ONLINE (Computer based test). All applicants seeking admission to the first year course of MBA / MCA are required to submit online application only.

ELIGIBILITY TO APPEAR IN UPSEE-2012 FOR ADMISSION TO SECOND YEAR (LATERAL ENTRY) OF B. TECH. / B. PHARM.
(i) Direct Admission (lateral entry) in second year of B. Arch. / BHMCT / BFAD courses is not permissible.
(ii) Lateral entry in ‘B.Tech. for Engg. Diploma holders or B.Sc. Graduates and passed XII standard with Mathematics as one of the subject’ / ‘B.Pharm. for Diploma holders’ in third semester (second year), is open only in the institutions affiliated to GBTU, Lucknow and M.T.U., Noida.
(iii) Candidates who have passed ‘three years Engg. Diploma from an Institution located in U.P. with minimum 45% marks (40% for SC/ST) OR ‘whose parents (Father or mother) are domicile of Uttar Pradesh’ and he/she has passed three years Engg. Diploma with minimum 45% marks (40% for SC/ST) recognized by the Board of Technical Education, U.P., in any branch of Engineering (except
Agriculture Engg., Pharmacy and Architecture), are eligible for admission to Second year in any
branch of Engineering / Technology.
(iv) Candidates who have passed ‘three years Diploma in Agriculture Engg. from an Institution located in U.P. with minimum 45% marks(40% for SC/ST)’ OR ‘whose parents (Father or mother) are domicile of U.P.’ and he/she has passed three years Diploma in Agriculture Engg. with minimum 45% marks(40% for SC/ST) recognized by the Board of Technical Education, U.P., are eligible for admission to Second year of Agriculture Engg. Branch only.
(v) Candidates who have passed ‘three years B.Sc. degree and passed XII standard with mathematics’ as one of the subject from any recognized University; securing minimum 45% marks (40% for SC/ST) in aggregate, are also eligible for admission to second year in any branch of Engineering / Technology.
(vi) Candidates who have passed ‘2/3 years Diploma in Pharmacy from an Institution located in U.P. with minimum 45% marks (40% for SC/ST)’ OR ‘whose parents are domicile of U.P.’ and he/she has passed 2/3 years Diploma in Pharmacy with minimum 45% marks (40% for SC/ST) recognized by the Board of Technical Education, U.P., are eligible for admission to second year of B.Pharm.only.

CLICK HERE to see when UPSEE 2012 available

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Unit-I
Basic Metals & Alloys : Properties and Applications
Properties of Materials: Strength, elasticity, stiffness, malleability, ductility, brittleness, toughness and hardness. Elementary ideas of fracture, fatigue & creep.
Ferrous Materials: Carbon steels, its classification based on % carbon as low, mild, medium & high carbon steel, its properties & applications. Wrought iron. Cast iron. Alloy steels: stainless steel, tool steel. Elementary introduction to Heat- treatment of carbon steels: annealing, normalizing, quenching & tempering and case-hardening.
Non-Ferrous metals & alloys: Common uses of various non-ferrous metals & alloys and its composition such as Cu-alloys: Brass, Bronze, Al-alloys such as Duralumin.

Unit-II
Introduction to Metal Forming & Casting Process and its applications
Metal Forming: Basic metal forming operations & uses of such as : Forging , Rolling , Wire & Tube-drawing/making and Extrusion, and its products/applications. Press-work, & die & punch assembly, cutting and forming, its applications. Hot-working versus cold-working.
Casting: Pattern & allowances. Molding sands and its desirable properties. Mould making with the use of a core. Gating system. Casting defects & remedies. Cupola Furnace. Die-casting and its uses.

Unit-III
Introduction to Machining & Welding and its applications
Machining: Basic principles of Lathe-machine and operations performed on it. Basic description of machines and operations of Shaper-Planer, Drilling, Milling & Grinding.
Welding: Importance & basic concepts of welding, classification of welding processes. Gas-welding, types of flames. Electric-Arc welding. Resistance welding. Soldering & Brazing and its uses.

Unit-IV
Misc. Topics
Manufacturing: Importance of Materials & Manufacturing towards Technological & Socio- Economic developments. Plant location. Plant layout – its types. Types of Production. Production versus Productivity.
Non-Metallic Materials: Common types & uses of Wood, Cement-concrete, Ceramics, Rubber, Plastics and Composite-materials.
Misc. Processes: Powder-metallurgy process & its applications, Plastic-products manufacturing, Galvanizing and Electroplating

MTU/GBTU B.Tech 1st Year Syllabus (EAS105/EAS205:ENVIRONMENT & ECOLOGY) with Text & Reference Books

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UNIT-I
Definition, Scope & Importance, Need For Public Awareness- Environment definition, Eco system – Balanced ecosystem, Human activities – Food, Shelter, Economic and social Security.
Effects of human activities on environment-Agriculture, Housing, Industry, Mining and Transportation activities, Basics of Environmental Impact Assessment. Sustainable Development.

UNIT-II
Natural Resources- Water Resources- Availability and Quality aspects. Water borne diseases, Water induced diseases, Fluoride problem in drinking water. Mineral Resources, Forest Wealth, Material cycles- Carbon, Nitrogen and Sulphur Cycles.
Energy – Different types of energy, Electro-magnetic radiation. Conventional and Non-Conventional sources – Hydro Electric, Fossil Fuel based, Nuclear, Solar, Biomass and Bio-gas. Hydrogen as an alternative future source of Energy.

UNIT-III
Environmental Pollution and their effects. Water pollution, Land pollution. Noise pollution, Public Health aspects, Air Pollution, Solid waste management.
Current Environmental Issues of Importance : Population Growth, Climate Change and Global warming- Effects, Urbanization, Automobile pollution.
Acid Rain, Ozone Layer depletion, Animal Husbandry.

UNIT-IV
Environmental Protection- Role of Government, Legal aspects, Initiatives by Non-governmental Organizations (NGO), Environmental Education, Women Education.


Text Books
1. Environmental Studies – Benny Joseph – Tata McgrawHill-2005
2. Environmental Studies – Dr. D.L. Manjunath, Pearson Education-2006.
3. Environmental studies – R. Rajagopalan – Oxford Publication - 2005.
4. Text book of Environmental Science & Technology – M. Anji Reddy – BS Publication..

Reference Books
1. Principles of Environmental Science and Engineering – P. Venugoplan Rao, Prentice Hall of India.
2. Environmental Science and Engineering – Meenakshi, Prentice Hall India.

Fill Online Application Form for UPSEE 2012 (step by step), get PNB Bank eChallan for UPSEE 2012

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Simple Steps

1. Logon to http://upsee.nic.in
2. Please check the eligibility criteria given in the broucher. 
3. Click on ‘Apply Online’ link. 
4. Fill in all the particulars in the online application form. 
5. Carefully review all the entries before submission.
6. Note the Registration Number. 
7. Make the payment either through Credit/Debit card or through an online generated Bank Challan.
8. In case the payment is made through Bank Challan, visithttp://upsee.nic.in again and click on ‘Pay the Examination Fee’ link. Enter the relevant details and generate the confirmation page.
9. Take the printout (in two copies) of the Confirmation Page. 
10. Mail a copy of duly filled in Confirmation Page along with the paid copy of the Challan (if the payment id made through Bank Challan) to

Registrar (UPSEE- 2012)
Gautam Budh Technical University
I.E.T. Campus
Lucknow-226021

U.P. so as to reach on or before 5:00 PM 26 th March 2012.

GBTU/MTU/UPSEE 2012 (mode of admission, eligibility criteria, scoring and negative marking, declaration of result, category definitions reservations, admit card)

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GBTU  -   Gautam Buddh Technical University, Lucknow                
MTU -  Mahamaya Technical University, Noida
UPSEE-2012 - Uttar Pradesh State Entrance Examination - 2012
B. Tech.   -  Bachelor of Technology
BHMCT -   Bachelor of Hotel Management   & Catering Technology
B. Pharm.   -   Bachelor of Pharmacy                                
B. Arch.      -   Bachelor of Architecture    
BFAD  –   Bachelor of Fashion & Apparel Design

MODE OF ADMISSION


ADMISSION TO FIRST YEAR
The Entrance Examination for admission to first year of the following courses offered at the Institutions affiliated to GBTU, Lucknow and MTU, Noida including other mentioned universities situated in territory of Uttar Pradesh for the academic year 2012-2013 shall be conducted by Gautam Buddh Technical University, Lucknow.
(i) 4 year B. Tech./B.Tech. (Ag. Engg.) Course
(ii) 4 year B.Pharm. Course
(iii) 5 year B.Arch. Course
(iv) 4 year BHMCT Course
(v) 4 year BFAD Course


DIRECT ADMISSION (LATERAL ENTRY) TO SECOND YEAR (FOR DIPLOMA HOLDERS & B.SC. GRADUATES)

(i)The eligible candidates (Refer clause 3.3) seeking direct admission to second year of B.Tech. (for
engineering diploma holders and B.Sc. graduates) or B.Pharm. (only for pharmacy diploma holders)
in institutions affiliated to GBTU, Lucknow and MTU, Noida are required to submit the application
forms to Registrar, Gautam Buddh Technical University, Lucknow by the last date. Such candidates
are also required to appear in the specified paper of entrance examination.

(ii)Such seats are limited to a maximum of 20% in addition to the sanctioned intake in institutions/
colleges for different courses at first year level. However, students belonging to B.Sc. stream shall
be considered only after filling the seats in this category with students of Diploma stream.

(iii) Direct admission to second year shall not be made in B.Arch./BHMCT/BFAD/MBA/MCA Courses.

ELIGIBILITY CRITERIA


CLICK HERE to see full info on eligibility

SCORING AND NEGATIVE MARKING

(i) Every objective type question would carry four marks for each correct answer. More than one answers indicated against the question will be deemed as incorrect answer.
(ii) There will be no negative marking. However, a record of incorrect answers given by a candidate will be kept separately.
(iii) All objective type questions are required to be answered on specially designed OMR answer sheets against the respective question number.
(iv) Answers are to be marked using ball point pen (Black / Blue) only. For the purpose of evaluation, the details filled in by the candidate in the OMR answer sheet will be accepted as final.

PAPERS AND SUBJECTS IN THE ENTRANCE EXAMINATION 
Paper 1 Physics, Chemistry and Mathematics
150 objective type questions with equal weightage to Physics, Chemistry and Mathematics 600 marks
Paper 2 Physics, Chemistry and Biology
150 objective type questions with equal weightage to Physics, Chemistry and Biology 600 marks
Paper 3 AG-I, AG-II and AG-III
150 objective type questions with equal weightage to AG-I, AG-II and AG-III 600 marks
Paper 4 Aptitude Test for Architecture 
Part-A: Mathematics and Aesthetic Sensitivity
Part–B: Drawing Aptitude 
100 objective type questions with equal weighatge to Mathematics and Aesthetic Sensitivity and Two questions to test drawing aptitude. 500 marks
Paper 5 Aptitude Test for General Awareness (BHMCT/BFAD)
75 objective type questions 300 marks
Paper 6 Aptitude Test for Engg. Diploma Holders (Lateral Entry)
75 objective type questions 300 marks
Paper 7 Aptitude Test for Pharmacy Diploma Holders (Lateral Entry)
75 objective type questions 300 marks
Paper 8 Aptitude Test for B.Sc. Graduates (Lateral Entry)
75 objective type questions 300 marks

PAPERS TO BE OPTED FOR DIFFERENT COURSES

B. Tech. / B. Tech. (Agriculture Engineering) Paper 1 
B. Tech. (Bio Technology) Paper 1 OR Paper 2
B. Tech. (Agriculture Engineering) only Paper 3
B. Pharm.  Paper 1 OR Paper 2 
B. Arch. Paper 4
BHMCT / BFAD  Paper 5
Lateral Entry:
B.Tech. 2nd Year (for Engg. Diploma Holders)  Paper 6
B.Pharm 2nd Year (for Pharmacy Diploma Holders) Paper 7
B.Tech. 2ndYear (for B. Sc. Graduates) Paper 8

DECLARATION OF RESULT

The results of UPSEE-2012 alongwith answer keys will be declared on or before 30th May, 2012.  
Based on performance of the candidates in UPSEE-2012, separate merit lists will be prepared for each course. Merit position, score-card with total marks and marks obtained in each subject shall be available on website after the declaration of the result.

CATEGORY DEFINITIONS
Code:  UPGE
Candidates, who have passed the qualifying examination from an institution located in the State of  Uttar Pradesh and who do not claim for any reserved category are eligible for admission to all the courses at all the institutions against available General (OPEN) seats (No certificate required).

Codes: UPSC / UPST / UPBC 
Candidates, who have passed the qualifying examination from an institution located in State of U.P.; and are
domicile of U.P.; and belong to Schedule Caste (SC) of U.P. / Schedule Tribe (ST) of U.P. / Other Backward

Code: UPGD
Candidates, who have passed the qualifying examination from an institution located outside U.P.;  and whose parents are domicile of U.P.; and who have not claimed for any reserved category, are  also eligible for admission to courses offered at all institutions under General (OPEN) category. Such candidate has to produce the domicile certificate of his/her parents (Father OR Mother only) at the time of counselling (certificate no. 3).

Codes: GDSC/GDST/GDBC 
Candidates, who have passed the qualifying examination from an institution located outside U.P.;  and whose parents are domicile of U.P.; and who belong to Schedule Caste of U.P. / Schedule Tribe of U.P. / Other Backward classes of U.P. are also eligible for admission against reserved seats of their category. Such candidate has to produce the domicile certificate of his/her parents (Father OR Mother only) (certificate no.3) and category certificate (no. 1 or 2 as applicable) at the time of counselling. List of SC, ST and OBC castes as per SC/ST Act 1976 and Government Order 4/1/2001-TC/Ka-2/2002 dt. 19/09/2002 is attached in Appendix F.

Code: GDDA                                                            
The domicile requirement to son/daughter of following is relaxed and admission is permitted to such:
(i) defence personnel settled in U.P. on the date of Entrance Examination after retirement / being
disabled in action or Defence personnel killed in action and the dependents settled in U.P. on the
date of Entrance Examination. Certificate no. 5 is required.
(ii)  defence personnel who are not domicile of U.P., but are posted in U.P. on the date of Entrance
Examination. Certificate no. 5 is required.
(iii) employee of All India Services belonging to U. P. cadre. Certificate no. 11 is required. GDDA
candidates will be considered as UPGD category for all other benefits

RESERVATIONS

Vertical Reservation (Category):
(a)  Scheduled Caste of U.P. 21%
(b)  Scheduled Tribe of U.P. 02%
(c)  Other Backward Classes of U.P. 27%

Horizontal Reservation (Sub-category available in each category):
(a)  Dependents of Freedom Fighters from U.P.     UPFF 02%
(b)  Sons / Daughters of 'defence personnel of U.P. either retired (superannuated) or killed / disabled in action’ or ‘defence personnel posted in U.P.’ UPAF 05%
(c)  Handicapped / Disabled of U.P.  UPHC 03%
(d)  Girls of U.P.   UPGL 20%

List of nodal centres from where candidate can get their duplicate admit card for UPSEE 2012

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Code=City=Name of Nodal Centres

1. Agra =Anand Engineering College, Agra-Mathura Road, Keetham, Agra 
2. Aligarh =Aligarh College of Engineering & Technology,  3 k.m. from Sasni Gate on Mathura Road, Aligarh 
3. 0Allahabad =Devprayag Institute of Technical Studies, Phaphamau, Allahabad – 211013 
4. Bareilly =Sri Rammurti Smarak College of Engg. & Technology,  13 km. Bareilly-Nainital Road, Bareilly 
5. Banda= Kalicharan Nigam Institute of Technology, Naraini Road, Banda 
6. Barabanki= Institute of Engineering & Technology, Sitapur Road, Lucknow- 226021 
7. Etawah =Baba Saheb Dr. Bhimrao Ambedkar College of  Agriculture E.ngg. & Technology, Near Distt. Hospital, Agra Road, Etawah
8. Faizabad= IET, Dr. R.M.L. Avadh University, Faizabad 
9. G.B.Nagar = IEC College of Engineering & Technology, Plot no. 4, Knowledge Park- I, Institutional Area, Greater Noida 
10. Ghaziabad= Raj Kumar Goel Institute of Technology, 5 km. stone, Opp. Jain Tube ,  Delhi- Meerut Road, Ghaziabad 
11. Ghazipur =Technical Education & Reserach Institute P.G. College, Ravindrapuri, Ghazipur  (97) 
12. Gorakhpur =M.M.M. Engineering College, Deoria Road, Gorakhpur 
13. Jaunpur= V.B.S. Purvanchal University, Jaunpur 
14. Jhansi =Bundelkhand Institute of Engineering & Technology, Kanpur Road, Jhansi 
15. Kanpur= Harcourt Butler Technological Institute, Nawabganj, Kanpur 
16. Lucknow = I.E.T. Sitapur Road, Sitapur Road, Lucknow – 226021 
17. Mathura =G L Bajaj Group of Institutions, 23 km Milestone, National Highway#2  Mathura-Delhi Road, Akbarpur, Mathura-281001  
18. Meerut= Radha Govind Engineering College, Anuyogipuram,  Garh Road, Near L.L.R.M. Medical College, Meerut- 250004  
19. Moradabad= Moradabad Institute of Technology, Ramganga Vihar Phase-2, Moradabad 
20. Muzaffarnagar= S.D.College of Engineering & Technology, Jansath Road,  Muzaffarnagar-251001 
21. Raebareli =Feroz Gandhi Institute of Engineering  & Technoloy, Ratapur Chauraha, Raebareli 
22. Saharanpu =Shobhit Institute of Engg. & Technology, Babu Vijendra Marg,  Adarsh Institutional Area, Gangoh, Saharanpur 
23. Sitapur= Institute of Engineering & Technology, Resora, District- Sitapur  
24. Sultanpur= Kamla Nehru Institute of Technology, Sultanpur 
25. Varanasi =R.S.M.T. (U.P.Autonomous College Campus), Bhojubeer, Varanasi 
26. Delhi= J S S Academy of Technical Education, Noida 
27. Dehradun= Dehradun Instt. of Technology, Mussoorie - Diversion Road,  Dehradun - 248009 (U.A.) 

UPSEE 1012 Admit Card (full info), When UPSEE 12 admit card available online/reach home, How I get UPSEE 2012 duplicate admit card

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• Admit card will be sent by post (Ordinary Post) and available online to every candidate.
• A nodal centre (CLICK HERE to see nodal cetre) in each city of examination shall be established to issue Duplicate Admit Cardsupto April 21, 2012 from 10 AM to 5 PM, but not on the dates of examination.
• To get duplicate admit card, the candidate should contact the nodal centre situated in the city of examination which he/she has opted as first choice. Such candidate should carry the following to the nodal centre:

(i) Two passport size photographs (Black & White) similar to that pasted on the application form.
(ii) Rs. 25.00 as Fee for duplicate admit card.
(iii) The OMR application form number / Online Application’s Reference Number.
(iv) Proof of having submitted the application form.

• If any candidate is unable to receive or download his/her admit card, he/she should contact the helpline or send an email as indicated on the website latest by 18th April, 2012.
• A plea that a candidate failed to receive the information for appearing at the Examination will not be accepted as a ground for the refund of fee or any other redressal. UPSEE-2012 may withdraw the permission to appear in UPSEE-2012 granted by mistake to a candidate who is not eligible to appear at the UPSEE-2012 even if an Admit Card has been issued and produced by the candidate before the concerned Centre Superintendent at the Examination Centre.
• In case of any reported correction, the final corrected admit card will have to be downloaded from website www.upsee.nic.in / www.uptu.ac.in / www.mtu.ac.in before the examination date.
• Since successful candidates are required to produce the Admit Card at the time of counselling and admission, it should be carefully preserved until the admission process is completed.

MTU/GBTU B.Tech 1st Year Syllabus (ECE-151/251:COMPUTER AIDED ENGINEERING GRAPHICS) with Text & Reference Books

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1. Introduction to Computer Aided Sketching
Introduction, Drawing Instruments and their uses, BIS conventions, lettering Dimensioning and free hand practicing.
Computer screen, layout of the software, standard tool bar/menus and description of most commonly used tool bars, navigational tools. Coordinate system and reference planes. Definitions of HP, VP, RPP & LPP. Creation of 2D/3D environment. Selection of drawing size and scale. Commands and creation of Lines, Co-ordinate points, axes, poly-lines, square, rectangle, polygons, splines, circles, ellipse, text, move, copy, off-set, mirror, rotate, trim, extend, break, chamfer, fillet, curves, constraints viz. tangency, parallelism, inclination and perpendicularity. Dimensioning, line convention, material conventions and lettering. 2-Sheet


2. Orthographic Projections
Introduction, Definitions- Planes of projection, reference line and conventions employed, Projections of points in all the four quadrants, Projections of straight lines (located in First quadrant/first angle only), True and apparent lengths, True and apparent inclinations to reference planes (No application problems). 2-Sheet

3. Orthographic Projections of Plane Surfaces
(First Angle Projection Only)
Introduction, Definitions-projections of plane surfaces-triangle, square rectangle, rhombus, pentagon, hexagon and circle, planes in different positions by change of position method only (No problems on punched plates and composite plates.) 1-Sheet

4. Projections of Solids (First Angle Projection Only)
Introduction, Definitions- Projections of right regular- tetrahedron, hexahedron (cube), prisms, pyramids, cylinders and cones in different positions. (No problems on octahedrons and combination solid) 2-Sheet

5. Sections and Development of Lateral Surfaces of Solids
Introduction, Section planes, Sections, section views, Sectional views, apparent shapes and True shapes of Sections of right regular prisms, pyramids, cylinders and cones resting with base on HP. (No problems on section of solids) 1-Sheet
Development of lateral surface of above solids, their frustums and truncations. (No problems on lateral surfaces of trays, Tetrahedrons spheres and transition pieces).

6. Isometric Projection (Using Isometric Scale Only)
Introduction, Isometric scale, Isometric Projection of simple plane figures, Isometric Projection of tetrahedron, hexahedron (cube), right regular prisms, pyramids, cylinders, cones, spheres, cut spheres and combination of solids (Maximum of three Solids). 1-Sheet
Note : At least 3 drawing assignments must be on AUTOCAD.

Text Book
1. Engineering Drawing – N.D. Bhatt & V.M. Panchal, 48th edition, 2005 Charotar Publishing House, Gujarat.
2. A Primer on Computer Aided Engineering Drawing-2006, Published by VTU, Belgaum.


Reference Book
1. Computer Aided Engineering Drawing – S. Trymbaka Murthy, - I.K. International Publishing House Pvt. Ltd., New Delhi, 3rd revised edition-2006.
2. Engineering Graphics – K.R. Gopalakrishna, 32nd edition, 2005 – Subash Publishers Bangalore.
3. Fundamentals of Engineering Drawing with an Introduction to Interactive Computer Graphics for Design and Production – Luzadder Warren J., duff John M., Eastern Economy Edition, 2005 – Prentice- Hall of India Pvt. Ltd., New Delhi.

MTU/GBTU B.Tech 1st Year Syllabus (EAS-203:MATHEMATICS-II) with Text & Reference Books

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Unit-I
Differential Equations
Linear differential equations of nth order with constant coefficients, Complementary functions and particular integrals, Simultaneous linear differential equations, Solution of second order differential equation by changing dependent and independent variables, Method of variation of parameters, Applications to engineering problems (without derivation).

Unit-II
Series Solution and Special Functions
Series solution of ordinary differential equations of 2nd order with variable coefficients (Frobenius Method),
Bessel and Legendre equations and their series solutions, Properties of Bessel functions and Legendre polynomials.

Unit-III
Laplace Transform
Laplace transform, Existence theorem, Laplace transform of derivatives and integrals, Inverse Laplace transform, Unit step function , Dirac delta function, Laplace transform of periodic functions, Convolution theorem, Application to solve simple linear and simultaneous differential equations.

Unit-IV
Fourier Series and Partial Differential Equations
Periodic functions, Trignometric series, Fourier series of period 2π , Eulers formulae, Functions having arbitrary period, Change of interval, Even and odd functions, Half range sine and cosine series, Harmonic analysis.
Solution of first order Lagrange’s linear partial differential equatins, Linear partial differential equations with constant coefficients of 2nd order and their classifications - parabolic, elliptic and hyperbolic with illustrative examples.

Unit-V
Applications of Partial Differential Equations
Method of separation of variables for solving partial differential equations, Wave equation up to two-dimensions, Laplace equation in two-dimensions, Heat conduction equations up to two-dimensions, Equations of transmission lines.

Test Books:
1. B.V.Ramana, Higher Engineering Mathmatics, Tata Mc Graw-Hill Publishing Company Ltd., 2008.
2. R.K.Jain & S.R.K.Iyenger, Advance Engineering Mathematics, Narosa Publishing House, 2002.

Reference Books
1. B.S.Grewal, Engineering Mathematics, Khanna Publishers, 2004.
2. B.S.Grewal, Higher Engineering Mathematics, Khanna Publishers, 2005.
3. E.Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 2005.
4. C.Ray Wylie & Louis C. Barrett, Advanced Engineering Mathematics, Tata Mc Graw-Hill Publishing Company Ltd. 2003
5. Peter V. O’Neil, Advanced Engineering Mathematics, Thomson (Cengage) Learning, 2007.
6. G.F.Simmons, Differential Euations, Tata Mc Graw-Hill Publishing Company Ltd. 1981.
7. Chandrika Prasad, Advanced Mathematic for Engineers, Prasad Mudranalaya,1996