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On March 22, 1999 (letter dated March 19, 1999), a complaint was filed with the Department of Public Instruction by XXXXX against the Weyauwega-Fremont School District. This complaint alleges a violation of special education law regarding the implementation of programs for children with disabilities.

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uptu application form 2016 for m.tech

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UPTU M.Tech 2016 Seat Allotment

UPTU M.Tech 2016 Seat Allotment

Related To: UPTU M.Tech Admission

By: Prabha Dhavala
Updated On: 16 Jul 2016 04:44 PM IST

UPTU M.Tech 2016 Seat AllotmentUPTU M.Tech 2016 Seat Allotment – The UPTU M.Tech Seat Allotment 2016 will be announced in August 2016 for th GATE qualified candidates and thereafter for the Non-GATE candidates who have appeared for the university entrance exam. Check the details and procedure for the UPTU M.Tech 2016 Seat Allotment below on this page.

The UPTU M.Tech Admission 2016 held by the Dr. A.P.J. Abdul Kalam Technical University (APJAKTU) is based on valid GATE scores of applicants who wish to pursue M.Tech. Candidates who have low GATE scores or have not appeared for GATE can appear for the entrance test held by the University.


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Details of UPTU M.Tech 2016 Seat Allotment:

  • The Seat Allotment will be on the basis of the UPTU M.Tech 2016 Merit Rank and the choices entered by the candidates for the available courses as per their eligibility

  • The Seat Allotment for the UPTU M.Tech Admission 2016 will be held in two rounds.

  • The first round will have the UPTU M.Tech Seat Allotment 2016 for the GATE qualified applicants who are exempt from the entrance test held by the university.

  • The second round will be announced for the vacant seats. Theses seats will be allotted to the candidates who have qualified in the university held entrance test.

  • Candidates must log in and check their UPTU M.Tech 2016 Seat Allotment.

  • They must download their provisional allotment letters and check the instructions given.

  • Candidates who have been allotted seats will have to report to the allotted colleges by the specified date and time.

  • They must complete their admission formalities after submitting the allotment letter and other documents as specified after paying the balance fees.

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UPTU M.Tech Admission 2018

UPTU M.Tech Admission 2018

Related To: UPTU M.Tech Admission

By: Manashjyoti
Updated On: 25 Jun 2018 04:40 PM IST

UPTU M.Tech AdmissionUPTU M.Tech Admission 2018 – Choice filling of UPTU M.Tech 2018 for GATE/GPAT qualified candidates commenced on July 25; allotment of seats will be done post choice filling. A.P.J.Abdul Kalam Technical University has released the result of UPTU M.Tech in online mode. To check UPTU M.Tech 2018 result, candidates’ need to enter their registration number, date of birth and mobile number. The UPTU M.Tech exam was conducted on June 10 for non-GATE qualified candidates  in offline (OMR-based) mode. The UPTU M.Tech 2018 admit card was available from June 6. The application form of UPTU M.Tech was available till June 3 in online mode. UPTU M.Tech admission 2018 is through two channels – first based on GATE/GPAT scores and then based on marks obtained by the candidates in an entrance exam (For non-GATE candidates). The result of the entrance exam will be declared around 2nd week of July. UPTU M.Tech counselling 2018 will be conducted in multiple rounds; in each round of counselling GATE qualified candidates will be given preference. UPTU M.Tech aspirants shortlisted for counselling will be sent call letters that will contain information like counselling date and time. Go through the rest of the article to learn more about UPTU M.Tech admission 2018.

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UPTU M.Tech Quick Facts

  • Conducting Body – A.P.J.Abdul Kalam Technical University

  • Commonly known as – UPTU M.Tech Admission

  • Level – PG

  • Admission process – GATE-qualified candidates will be offered direct admission. Non-GATE candidates have to sit in an entrance exam for filling vacant seats.

  • Mode of application: Online

  • Mode of exam: Pen-and-paper based 

UPTU M.Tech Admission Dates 2018

 

The entire schedule of events related to the UPTU M.Tech admission process, including dates of the entrance exam for non-GATE candidates, will be covered by the admission dates of UPTU M.Tech 2018. The dates given in the table are tentative only, and will be updated once the official notification is released.

 

Admission dates of UPTU M.Tech 2018

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Event

Dates

Availability of application form

April 25, 2018

Last date to submit application form

June 3, 2018

Last date to pay application fees online

June 3, 2018

Issue of admit cards

June 6, 2018

Entrance Test

June 10, 2018

Declaration of Result

June 23, 2018

Payment of Counselling fees

June 24-26, 2018

Document Verification – GATE/GPAT

July 24 (10 am), 2018

Choice Filling and seat allotment – GATE/GPAT

July 25 (10 am), 2018

Document Verification – PG Entrance

July 26 (10 am), 2018

Choice Filling and seat allotment – PG Entrance

July 27 (10 am), 2018

UPTU M.Tech Counselling and Seat Allotment 2018

 

Candidates shortlisted for counselling will be sent call letters that will contain information like time and date of counselling. During UPTU M.Tech 2018 counselling and seat allotment, GATE-qualified candidates will be given preference. Seats that are available after accommodating GATE candidates will be offered to non-GATE candidates as per the merit rank of the candidate in the entrance exam.

 

Latest: UPTU M.Tech Choice-filling and Seat Allotment –  Click Here

 

UPTU M.Tech Result 2018

 

The result of UPTU M.Tech 2018 has been declared on June 23 in online mode. To check their results, candidates have to log in to their respective candidate portals. The result contain information like roll number and scores obtained by the candidate in the entrance exam.

 

In case of GATE qualified candidates, a merit list of UPTU M.Tech admssion 2018 will be published as per the All India Rank (AIR) of the candidate.

UPTU M.Tech Answer Key 2018

 

The exam conducting body has released the UPTU M.Tech 2018 answer keys for all the M.Tech papers. To download the UPTU M.Tech 2018 answer key, the candidate simply needs to follow the link given below; no log-in credential is required. The answer keys are available in donwloadable pdf format.

 

To download UPTU M.Tech 2018 Answer Key – Click Here  

 

UPTU M.Tech Admit Card 2018

The exam authorities had released the admit card of UPTU M.Tech admission 2018 on June 6. The UPTU M.Tech 2018 admit card carries details like the name and roll number of the candidate, and also exam centre details and time and date of the exam. Candidates needed the admit card not only to sit in the entrance exam, but also to complete exam formalities like counselling.

 

To download the UPTU M.Tech admit card, candidates need to log-in to their applicant accounts using registration number, date of birth and mobile number.

UPTU M.Tech Eligibility Criteria 2018

 

It is important that applicants meet the eligibility criteria of UPTU M.Tech admission 2018, or else they may be disqualified from the admission process. Here is a list of the UPTU M.Tech 2018 eligibility criteria:

  • Academic qualification: The candidate needs to have passed B.E or B.Tech with minimum 60% marks in aggregate (54% in case of reserved category candidates) or an equivalent CGPA.
  • Age limit: The candidate must be minimum 16 and maximum 60 years old.

UPTU M.Tech Admission Process 2018

 

Admission to B.Tech seats at Dr. APJ Abdul Kalam Technical University will be through the following two channels:

  • Direct admission based on GATE scores: Candidates with valid GATE scores will be given first preference during seat allotment and will be eligible for direct admission. They don’t have to sit in the entrance exam conducted by the institute.
  • Entrance test for non-GATE candidates: Candidates in this category will have to attempt an entrance test. Based on the performance of the candidates in the test, merit list will be prepared and candidates will be called for counselling.

UPTU M.Tech Application Form 2018

 

The application form of UPTU M.Tech admission 2018 was available in online mode only.  The steps to fill the UPTU M.Tech 2018 application form have been given below:

  • Registration: The candidate has to get registered on the application portal by entering their personal and contact details. The candidates will also have to enter their valid email Id and mobile number to fill the application form. Upon successful registration, log-in details will be sent to the registered email and mobile number.

  • Log-in to fill the form: Using the log-in details shared by exam authorities, the candidate has to log-in to fill the application form. Some of the fields the candidate has to enter include academic, course and GATE-related details.

  • Uploading of documents: The candidate has to next upload scanned copies of signature and photograph in the prescribed format.

  • Payment of application fee: In the penultimate step, the candidate has to pay the applicable fee.

  • Submission of application form: After ensuring the application form is complete in all respects, submit it.

Image Specifications

Document

Size

Format

Dimension

Photograph

Less than 50 KB

JPEG or JPG

3.5 cm* 6.0 cm

Signature – Should be in blank ink only

Less than 50 KB

JPEG or JPG

 

Note: The signature should be the full name of the candidate, and not initials. Also, candidates mustn’t write the entire signature in full caps.

 

Application Fee:

 

The application fee of UPTU M.Tech admission 2018 would vary depending on the category of the candidate. Check in the table below.

 

UPTU M.Tech Application Fee

Category of candidate

Application fee

General/OBC

Rs. 2000

SC, ST, PwD, and Female candidates

Rs. 1000

Mode of payment: The application fee can be paid online using net banking, credit or debit cards.

 

UPTU M.Tech Exam Pattern 2018

 

The UPTU M.Tech 2018 entrance exam was conducted in offline pen-and-paper mode on June 10. Candidates were given OMR sheets where they have to enter their responses. Here are other exam details:

  • The language of the question paper will be Hindi and English

  • Question type will be multiple chouice

  • For a correct answer, 4 marks will be awarded while 1 mark will be deducted for incorrect attempt.

  • The duration of the exam will be  2 hours

 

Related Articles

UPTU M.Tech Admission 2015
Suggested Reading: UPTU M.Tech

QNA – EXAM QUESTIONS AND ANSWERS

UPTU M Tech Admission

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ishank goyal 2 months ago

ishank goyals picture
Ishank Goyal Last Seen: 2 months 11 hours agoJoined on: 28-Jun-2017Education Interest: M.E /Mtech.Education Level: Graduate & Above
GATE GATE Counselling M.tech UPTU M Tech Admission

Sir I want to know gate qualified student are compulsory to attend uptu mtech entrance exam or they can go direct counselling procedure .

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V

viruu 2 months ago

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Viruu Last Seen: 2 months 14 hours agoJoined on: 28-Feb-2018Education Interest: EngineeringEducation Level: Graduate & Above

yes you need to give the exam as you air thert uyt in the eexaj

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Akansha sinha 3 months ago

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Akansha Sinha Last Seen: 2 months 1 week agoJoined on: 16-Apr-2014Education Interest: EngineeringEducation Level: In Graduation
Engineering UPTU M Tech Admission

What is the syllabus for a civil student

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H

Harsh 3 months ago

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Harsh Last Seen: 3 weeks 4 days agoJoined on: 01-Apr-2017Education Interest: EngineeringEducation Level: In Graduation

Every semester has different subjects 

Fluid mechanics

Building construction material

Structure analysis

ED engineering drawing

Are some of main subjects

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pankaj yadav 3 months ago

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Pankaj Yadav Last Seen: 1 week 2 days agoJoined on: 13-Mar-2018Education Interest: EngineeringEducation Level: Class 12
UPTU M Tech Admission Engineering

How many colleges are participating in uptu?

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somya rai 3 months ago

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Somya Rai Last Seen: 1 month 1 week agoJoined on: 04-May-2018Education Interest: EngineeringEducation Level: In Graduation
T 80,000 are admitted into various programmes.The medium of instruction and examination is English.
WBST250515
WBVDA
List of UPTU Affiliated Colleges
1.ANAND ENGINEERING COLLEGE  AGRA
2.FACULTY…Read More
T 80,000 are admitted into various programmes.The medium of instruction and examination is English.
WBST250515
WBVDA

List of UPTU Affiliated Colleges
1.ANAND ENGINEERING COLLEGE  AGRA
2.FACULTY OF ENGINEERING & TECHNOLOGY   AGRA 3.HINDUSTAN INSTITUTE OF TECHNOLOGY AND MANAGEMENT   AGRA
4.RAJA BALWANT SINGH ENGINEERING TECHNICAL CAMPUS, BICHPURI, AGRA    AGRA  
5.RAJA BALWANT SINGH MANAGEMENT TECHNICAL CAMPUS, AGRA
6.AGRA PUBLIC INSTITUTE OF TECHNOLOGY & COMPUTER EDUCATION (DEPTT. OF PHARMACY)
AGRA
  7.SHIVDAN SINGH INSTITUTE OF TECHNOLOGY & MANAGEMENT    ALIGARH
8. UNITED COLLEGE OF ENGINEERING & RESEARCH ALLAHABAD
9.UNITED INSTITUTE OF MANAGEMENT ALLAHABAD
10.PHARMACY COLLEGE AZAMGARH
11.SHRI GOPICHAND COLLEGE OF PHARMACY BAGHPAT
12.SHRI RAM MURTI SMARAK COLLEGE OF ENGINEERING & TECHNOLOGY BAREILLY
13.RAKSHPAL BAHADUR MANAGEMENT INSTITUTE BAREILLY
14.VEERA COLLEGE OF ENGINEERING, BIJNOR 15.BABU BANARSI DAS INSTITUTE OF ENGINEERING TECHNOLOGY & RESEARCH CENTRE BULANDSHAHAR
16.MARATHWADA INST. OF TECHNOLOGY ,BULANDSHAHAR
17.JHUNJHUNWALA BUSINESS SCHOOL FAIZABAD

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Laljee Laljeet 3 months ago

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Laljee Laljeet Last Seen: 1 month 4 weeks agoJoined on: 27-Apr-2018Education Interest: EngineeringEducation Level: In Graduation
B.tech UPTU M Tech Admission

What cut of sc in b.tech entrance

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Nikhil Sharma 3 months ago

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Nikhil Sharma Last Seen: 14 hours 8 min agoJoined on: 15-May-2018Education Interest: ManagementEducation Level: In Graduation


Hii Laljee

Can you be more specific in your query to get an accurate answers.


Hope to hear from you.

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Vishal 1 year ago

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Vishal Last Seen: 1 year 1 week agoJoined on: 27-Apr-2016Education Interest: B.E /Btech.Education Level: Class 12
Computer Science Engineering UPTU M Tech Admission JSS Academy of Technical Education, Noida Placements Jaypee University of Engineering and Technology, Guna Jaypee University of Engineering and Technology, Guna Placements Nitte Meenakshi Institute of Technology, Bangalore Nitte Meenakshi Institute of Technology, Bangalore Placements

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Nmit banglore vs juet guna vs jss noida for cse in terms of placement and packages

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Ronak sanghvi 5 months ago

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Ronak Sanghvi Last Seen: 2 months 3 weeks agoJoined on: 03-Apr-2015Education Interest: EngineeringEducation Level: In Graduation

juet guna and nmit banglore both are good in terms of placement 

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cset history of mathematics


+” ” + mess + “

” + what + “

A history of set theory


Algebra index

History Topics Index


Version for printing


The history of set theory is rather different from the history of most other areas of mathematics. For most areas a long process can usually be traced in which ideas evolve until an ultimate flash of inspiration, often by a number of mathematicians almost simultaneously, produces a discovery of major importance.

Set theory however is rather different. It is the creation of one person, Georg Cantor . Before we take up the main story of Cantor ‘s development of the theory, we first examine some early contributions.

The idea of infinity had been the subject of deep thought from the time of the Greeks. Zeno of Elea , in around 450 BC, with his problems on the infinite, made an early major contribution. By the Middle Ages discussion of the infinite had led to comparison of infinite sets. For example Albert of Saxony , in Questiones subtilissime in libros de celo et mundi, proves that a beam of infinite length has the same volume as 3-space. He proves this by sawing the beam into imaginary pieces which he then assembles into successive concentric shells which fill space.

Bolzano was a philosopher and mathematician of great depth of thought. In 1847 he considered sets with the following definition

an embodiment of the idea or concept which we conceive when we regard the arrangement of its parts as a matter of indifference.

Bolzano defended the concept of an infinite set. At this time many believed that infinite sets could not exist. Bolzano gave examples to show that, unlike for finite sets, the elements of an infinite set could be put in 1-1 correspondence with elements of one of its proper subsets. This idea eventually came to be used in the definition of a finite set.

It was with Cantor ‘s work however that set theory came to be put on a proper mathematical basis. Cantor ‘s early work was in number theory and he published a number of articles on this topic between 1867 and 1871. These, although of high quality, give no indication that they were written by a man about to change the whole course of mathematics.

An event of major importance occurred in 1872 when Cantor made a trip to Switzerland. There Cantor met Richard Dedekind and a friendship grew up that was to last for many years. Numerous letters between the two in the years 1873-1879 are preserved and although these discuss relatively little mathematics it is clear that Dedekind ‘s deep abstract logical way of thinking was a major influence on Cantor as his ideas developed.

Cantor moved from number theory to papers on trigonometric series. These papers contain Cantor ‘s first ideas on set theory and also important results on irrational numbers. Dedekind was working independently on irrational numbers and Dedekind published Continuity and irrational numbers.

In 1874 Cantor published an article in Crelle ‘s Journal which marks the birth of set theory. A follow-up paper was submitted by Cantor to Crelle ‘s Journal in 1878 but already set theory was becoming the centre of controversy. Kronecker , who was on the editorial staff of Crelle ‘s Journal, was unhappy about the revolutionary new ideas contained in Cantor ‘s paper. Cantor was tempted to withdraw the paper but Dedekind persuaded Cantor not to withdraw it and Weierstrass supported publication. The paper was published but Cantor never submitted any further work to Crelle ‘s Journal.

In his 1874 paper Cantor considers at least two different kinds of infinity. Before this orders of infinity did not exist but all infinite collections were considered ‘the same size’. However Cantor examines the set of algebraic real numbers, that is the set of all real roots of equations of the form

an xn + an-1 xn-1 + an-2 xn-2 + . . . + a1 x + a0 = 0,

where ai is an integer. Cantor proves that the algebraic real numbers are in one-one correspondence with the natural numbers in the following way.

For an equation of the above form define its index to be

|an| + |an-1| + |an-2| + … + |a1| + |a0| + n.

There is only one equation of index 2, namely x = 0. There are 3 equations of index 3, namely

2x = 0, x + 1 = 0, x – 1 = 0 and x2 = 0.

These give roots 0, 1, -1. For each index there are only finitely many equations and so only finitely many roots. Putting them in 1-1 correspondence with the natural numbers is now clear but ordering them in order of index and increasing magnitude within each index.

In the same paper Cantor shows that the real numbers cannot be put into one-one correspondence with the natural numbers using an argument with nested intervals which is more complex than that used today (which is in fact due to Cantor in a later paper of 1891). Cantor now remarks that this proves a theorem due to Liouville , namely that there are infinitely many transcendental (i.e. not algebraic) numbers in each interval.

In his next paper, the one that Cantor had problems publishing in Crelle ‘s Journal, Cantor introduces the idea of equivalence of sets and says two sets are equivalent or have the same power if they can be put in 1-1 correspondence. The word ‘power’ Cantor took from Steiner . He proves that the rational numbers have the smallest infinite power and also shows that Rn has the same power as R. He shows further that countably many copies of R still has the same power as R. At this stage Cantor does not use the word countable, but he was to introduce the word in a paper of 1883.

Cantor published a six part treatise on set theory from the years 1879 to 1884. This work appears in Mathematische Annalen and it was a brave move by the editor to publish the work despite a growing opposition to Cantor ‘s ideas. The leading figure in the opposition was Kronecker who was an extremely influential figure in the world of mathematics.

Kronecker ‘s criticism was built on the fact that he believed only in constructive mathematics. He only accepted mathematical objects that could be constructed finitely from the intuitively given set of natural numbers. When Lindemann proved that π is transcendental in 1882 Kronecker said

Of what use is your beautiful investigation of π. Why study such problems when irrational numbers do not exist.

Certainly Cantor ‘s array of different infinities were impossible under this way of thinking.

Cantor however continued with his work. His fifth work in the six part treatise was published in 1883 and discusses well-ordered sets. Ordinal numbers are introduced as the order types of well-ordered sets. Multiplication and addition of transfinite numbers are also defined in this work although Cantor was to give a fuller account of transfinite arithmetic in later work. Cantor takes quite a portion of this article justifying his work. Cantor claimed that mathematics is quite free and any concepts may be introduced subject only to the condition that they are free of contradiction and defined in terms of previously accepted concepts. He also cites many previous authors who had given opinions on the concept of infinity including Aristotle , Descartes , Berkeley , Leibniz and Bolzano .

The year 1884 was one of crisis for Cantor . He was unhappy with his position at Halle and would have liked to move to Berlin. However this move was blocked by Schwarz and Kronecker . In 1884 Cantor wrote 52 letters to Mittag-Leffler each one of which attacked Kronecker. In this year of mental crisis Cantor seemed to lose confidence in his own work and applied to lecture on philosophy rather than on mathematics. The crisis did not last too long and by early 1885 Cantor was recovered and his faith in his own work had returned. However, despite a wealth of important work in the years after 1884, there is some indication that he never quite reached the heights of genius that his remarkable papers showed over the 10 year period from 1874 to 1884.

Although not of major importance in the development of set theory it is worth noting that Peano introduced the symbol for ‘is an element of’ in 1889. It comes from the first letter if the Greek word meaning ‘is’.

In 1885 Cantor continued to extend his theory of cardinal numbers and of order types. He extended his theory of order types so that now his previously defined ordinal numbers became a special case. In 1895 and 1897 Cantor published his final double treatise on sets theory. It contains an introduction that looks like a modern book on set theory, defining set, subset, etc. Cantor proves that if A and B are sets with A equivalent to a subset of B and B equivalent to a subset of A then A and B are equivalent. This theorem was also proved by Felix Bernstein and independently by E Schröder .

The dates 1895 and 1897 are important for set theory in another way. In 1897 the first published paradox appeared, published by Cesare Burali-Forti . Some of the impact of this paradox was lost since Burali-Forti got the definition of a well-ordered set wrong! However, even if the definition was corrected, the paradox remained. It basically revolves round the set of all ordinal numbers. The ordinal number of the set of all ordinals must be an ordinal and this leads to a contradiction. It is believed that Cantor discovered this paradox himself in 1885 and wrote to Hilbert about it in 1886. This is slightly surprising since Cantor was highly critical of the Burali-Forti paper when it appeared. The year 1897 was important for Cantor in another way, for in that year the first International Congress of Mathematicians was held in Zurich and at that conference Cantor ‘s work was held in the highest esteem being praised by many including Hurwitz and Hadamard .

In 1899 Cantor discovered another paradox which arises from the set of all sets. What is the cardinal number of the set of all sets? Clearly it must be the greatest possible cardinal yet the cardinal of the set of all subsets of a set always has a greater cardinal than the set itself. It began to look as if the criticism of Kronecker might be at least partially right since extension of the set concept too far seemed to be producing the paradoxes. The ‘ultimate’ paradox was found by Russell in 1902 (and found independently by Zermelo ). It simplify defined a set

A = X .

Russell then asked :- Is A an element of A? Both the assumption that A is a member of A and A is not a member of A lead to a contradiction. The set construction itself appears to give a paradox.

Russell wrote to Frege telling him about the paradox. Frege had been near completion of his major treatise on the foundations of arithmetic. Frege added an acknowledgement to his treatise.

A scientist can hardly meet with anything more undesirable than to have the foundation give way just as the work is finished. In this position I was put by a letter from Mr Bertrand Russell as the work was nearly through the press.

By this stage, however, set theory was beginning to have a major impact on other areas of mathematics. Lebesgue defined ‘measure’ in 1901 and in 1902 defined the Lebesgue integral using set theoretic concepts. Analysis needed the set theory of Cantor , it could not afford to limit itself to intuitionist style mathematics in the spirit of Kronecker . Rather than dismiss set theory because of the paradoxes, ways were sought to keep the main features of set theory yet eliminate the paradoxes.

Did the paradoxes come from the ‘Axiom of choice’? Cantor had used the ‘Axiom of choice’ without feeling that it was necessary to single it out for any special treatment. The first person to explicitly note that he was using such an axiom seems to have been Peano in 1890 in dealing with an existence proof for solutions to a system of differential equations. Again in 1902 it was mentioned by Beppo Levi but the first to formally introduce the axiom was Zermelo when he proved, in 1904, that every set can be well-ordered. This theorem had been conjectured by Cantor . Émile Borel pointed out that the Axiom of Choice is in fact equivalent to Zermelo ‘s Theorem.

Gödel showed, in 1940, that the Axiom of Choice cannot be disproved using the other axioms of set theory. It was not until 1963 that Paul Cohen proved that the Axiom of Choice is independent of the other axioms of set theory.

Russell ‘s paradox had undermined the whole of mathematics in Frege ‘s words. Russell , trying to repair the damage, made an attempt to put mathematics back onto an logical basis in his major work Principia Mathematica written with Whitehead . This work attempts to reduce the foundations of mathematics to logic and was extremely influential. However the method of avoiding the paradoxes by introducing a ‘theory of types’ made it impossible to say that a class was or was not a member of itself. It did not seem a very satisfactory way around the problems and others sought different ways.

Zermelo in 1908 was the first to attempt an axiomatisation of set theory. Many other mathematicians attempted to axiomatise set theory. Fraenkel , von Neumann , Bernays and Gödel are all important figures in this development. Gödel showed the limitations of any axiomatic theory and the aims of many mathematicians such as Frege and Hilbert could never be achieved.

References (25 books/articles)

Other Web sites:

  1. C Ponce , A translaton of this article into Spanish
  2. A López-Ortiz , The Axiom of Choice and
    the Continuum Hypothesis.

Article by: J J O’Connor and E F Robertson


History Topics Index

Algebra index

Main index

Biographies Index


JOC/EFR February 1996


The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/HistTopics/Beginnings_of_set_theory.html

btec sport assignment examples

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Support for centres delivering BTEC in Sport qualifications

Subject update |
Fri Nov 21 10:15:00 UTC 2014

As the Subject Advisor, I try to provide information related to the BTEC in Sport qualification.

Read more

The BTEC Sport subject page includes information on:

  • developments about the qualifications
  • support for the teaching and delivery of these subjects
  • events, exhibitions, conferences and competitions
  • useful resources.

Teaching Support Materials for NQF BTEC Firsts

On the NQF First BTEC Sport qualification page you will find:

  • Specification: this document provides support with the delivery of the qualification. In the specification you can find the objectives of the qualification; the structure of the qualification, method of assessment, assessment criteria etc.
  • Delivery guide: a companion document to your specification, this contains ideas for practical activities, realistic scenarios and independent learning and shows how the content of the specification might work in practice and can inspire you to find challenging ways to deliver the course.
  • Sample Assessment Materials (SAMs): examples of the external assessment
    Past paper and mark schemes: past live external assessments and their respective mark schemes for units 1 and 7.
  • Examiner reports: the lead examiner writes a report for every retired external assessment. The report is designed to help teachers understand how learners performed in a particular test. The report provides an analysis of learner responses for each question. Many questions in the document also provide example learner responses, with commentary.
  • Teacher support materials: Subject guide to internal assessment that is specific to BTEC Firsts and Nationals in Sport – the document provides additional support and examples of the new internal assessment rules.
  • Authorised assignment briefs: Pearson has produced several assignment briefs that can be used by centres. Teachers can use them as they are or, if you prefer, you can adapt them to meet the needs and interests of your learners and take into account the sports provision in your local area. Every assignment must still be internally verified before handing them out to learners.
  • Sample marked learner work: examples of learner work that has been marked to give assessors some support with marking.
  • Past training content: power point slides and training materials given out during Pearson training events for NQF BTEC First in Sport.

Support materials

Support materials for QCF BTEC Nationals in Sport include:

  • Specification: provides support in the delivery of the qualification.  In the specification you can find the objectives of the qualification, the structure of the qualification, method of assessment, assessment criteria, etc.
  • Tutor resources: An overview on planning a course delivery, learner induction, ideas for tracking learner progress, a sample scheme of work, case studies from schools and colleges delivering BTEC, hints and tips on good practice, a walk through the assessment process, including a sample assignment with learner work and grading, frequently asked question and a tutors guide on how to write, mark and IV assessments.
  • Past training content: power point slides and training materials used during Pearson training events. There’s no external assessment for the current QCF BTEC Nationals, therefore all the support is related to internal assessment only.

Ask the expert

Ask the expert is a free dedicated service where teachers can ask questions to the Subject advisor and/or Senior Standards verifiers about subject specific specification content and delivery. See our contact us page for more information.

Assignment Checking Service

The Assignment Checking Service is a free support service for BTEC centres.  If you submit an assignment brief, you will be given feedback on the brief to ensure your assignments are fit for purpose.

The Quality Assurance Process


The Quality Assurance Handbook provides all the information about the quality assurance process.  All the relevant forms can be located from this page.

Please ensure you download the correct documents – documents for learners in their second year of their course or on a top up will need to the documents titles ‘before 2014’ for those new to BTEC then the ‘after 2014’ documents need to be used.

This page also contains a guide to writing internal assignments for both NQF BTEC and QCF BTEC qualifications in the UK Centres section.

myBTEC – Teacher toolkit

myBTEC is an online toolkit to support BTEC planning, delivery and assessment – with services to support building courses and creating assignments.

If you’re an approved BTEC centre in the UK, myBTEC is free to access. You will need an Edexcel Online login.  If you don’t have an account, you should speak to your Examinations Officer will be able to set up an account for you. If you have any problems logging into the site, please contact our support team on [email protected] or telephone 0844 463 2535.

Best regards

Penny

Penny Lewis, Physical Education and Sport subject advisor

Penny LewisPhysical Education and Sport

UK: 020 7010 2188
Intl: +44 (0)20 7010 2188

@PearsonPESport

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BTEC Sport - Level 3 - Unit 2 (A) - Example of Exam Notes - Planning for the Exam

BTEC Sport – Level 3 – Unit 2 (A) – Example of Exam Notes – Planning for the Exam

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BTEC Level 3 Sport

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can be used in several ways:
It can be given to pupils to help plan notes to be taken into the exam/revision
Used as example of exam notes to be placed in the middle of an A4 sheet and pupils to make more detailed notes relating to the question

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how to write a bibliography for an art essay

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Guide to Essay Writing – Bibliography

Contents

4.0 Bibliography

  • 4.1 Bibliography
    This should contain a list of the works you have read in the preparation your essay (except for, say,, general encyclopaedia which you might have consulted as background – unless you have used a particular article from a specialist work such as the Encyclopedia of World Art).
    A bibliography should be set out in alphabetical order at the end of your essay. If it is long and complicated, it can be useful to arrange it in different sections, e.g., primary material (that written in the period under discussion), secondary material (later texts).
    It is often hopeful, however, when listing primary material, to do so chronologically. In this way, one can show, for example the evolution of the interpretation of a particular artist’s works. There are, of course, many other ways of breaking up the bibliography. Do not however separate articles from books. Probably the simplest organisation is alphabetical.
    If you list several works by an author, or authors, these should be listed chronologically.
    Forms of references
    The material and form of bibliographic references are the same as those for footnote/endnote references, with one exception: since the listing is alphabetical, the surname of the author should precede his/her given name or initials. Always use the name as it is given on the title page – in full.
    If you have consulted a book which has been edited more than once, make sure that you have indicated the number and date of the edition, since different editions may have changes in page numbering.
    e.g. Smith, Bernard, Australian Painting, 2nd ed., Melbourne 1971
    Many works are published by an institution or collectively.
    e.g. The University of Sydney, Arts Faculty Handbook, Sydney, 1981 edition
     
  • 4.2 Useful Guide to special problems
    Style Manual, Canberra (several editions)
     
  • 4.3 Abbreviations
    Abbreviations in common use in bibliographes/notes (do not use in the body of the text):
    ch. = chapter
    ed. = editor, edited by, edition
    et al.= (Latin = et alii = and other authors)
    ff.= and the following pages (e.g. Smith, Australian Painting, 16ff.)
    n.d. = no date
    trans. = translated by
    p./pp.=page/pages
     
  • 4.4 References to works of art
    Since illustrations of works play a major role in our subject, you should master the conventions in using them. The following is standard modern practice.
    Whatever you do, be consistent.
    In the text underline or italicise the titlies of works – do not use quotation marks.
    e.g. Margaret Preston’s Implement blue
    Capitalisation
    This is controversial. Museums now tend to drop all capitals except for the first word; most publishers capitalise the first word and first noun; it is rare today to find almost every word capitalised as in the nineteenth century image (see the Tom Roberts below).
    Always give the exact title. If in doubt consult the catalogue of the relevant museum in which the work is located, reputable exhibition catalogues, or the artist’s catalogue raisonne (the complete works with full details of their history, their condition, their bibliography).
    If it is a very long title, you could shorten it after the first time you mention it in your text (e.g. Tom Roberts, Evening When the Quiet East Flushes Faint at the Sun’s Last Look – henceforth referred to as Evening’), but tell your reader you are going to do so. Sometimes an artist will use a nondescript title (e.g.Landscape ), or will repeat the same title, so be careful to specify which work is meant, either by using a date, measurements or location
     
  • 4.5 List of illustrations and captions
    The form for paintings and sculpture is:
    Artist’s full name
    Title (underline or italicise)
    Date
    Measurements (height by width)
    Location/Collection
    e.g. Frank Kupka, The First Step, c.1901-10. Oil on canvas, 81 x 127. The Museum of Modern Art, New York
    You could introduce the list of illustations by saying: ‘All works are executed in oil on canvas unless otherwise stated. All measurements are in centimeters.’ It is often helpful to indicate the source of your illustration, particularly if this is obscure.
    The form for buildings is:
    Architect
    Name of building (not underlined)
    Location Date
    e.g. Thomas Rowe, Kelly’s store (formerly Mechanics’ Institute), Yass, 1869

Prof. Virginia Spate / 22.4.98
University of Syndey
Department of Art History and Theory
Course Index

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How to Write a Research Paper: Write a Bibliography

Homework Help – Writing Skills

picture of computer and notebook used to write a research paper

Research Papers

  1. Establish your topic.
  2. Look for sources of information.
  3. Read your sources and take notes.
  4. Organize your ideas.
  5. Write a first draft.
  6. Use footnotes or endnotes to document sources.
  7. Write a bibliography.
  8. Revise the first draft.
  9. Proofread the final draft.

All your sources in one place

Write a Bibliography

A bibliography is a list of the sources you used to get information for your report. It is included at the end of your report, on the last page (or last few pages).

You will find it easier to prepare your final bibliography if you keep track of each book, encyclopedia, or article you use as you are reading and taking notes. Start a preliminary, or draft, bibliography by listing on a separate sheet of paper all your sources. Note down the full title, author, place of publication, publisher, and date of publication for each source.

Also, every time a fact gets recorded on a note card, its source should be noted in the top right corner. (Notice that in the sample note card , The World Book, Volume 2, page 21, has been shortened to: WB, 2, p.133.) When you are finished writing your paper, you can use the information on your note cards to double-check your bibliography.

When assembling a final bibliography, list your sources (texts, articles, interviews, and so on) in alphabetical order by authors’ last names. Sources that don’t have authors (encyclopedias, movies) should be alphabetized by title. There are different formats for bibliographies, so be sure to use the one your teacher prefers.

General Guide to Formatting a Bibliography

For a book:

Author (last name first). Title of the book. City: Publisher, Date of publication.

EXAMPLE:

Dahl, Roald. The BFG. New York: Farrar, Straus and Giroux, 1982.

For an encyclopedia:

Encyclopedia Title, Edition Date. Volume Number, “Article Title,” page numbers.

EXAMPLE:

The Encyclopedia Britannica, 1997. Volume 7, “Gorillas,” pp. 50-51.

For a magazine:

Author (last name first), “Article Title.” Name of magazine. Volume number, (Date): page numbers.

EXAMPLE:

Jordan, Jennifer, “Filming at the Top of the World.” Museum of Science Magazine. Volume 47, No. 1, (Winter 1998): p. 11.

For a newspaper:

Author (last name first), “Article Title.” Name of newspaper, city, state of publication. (date): edition if available, section, page number(s).

EXAMPLE:

Powers, Ann, “New Tune for the Material Girl.” The New York Times, New York, NY. (3/1/98): Atlantic Region, Section 2, p. 34.

For a person:

Full name (last name first). Occupation. Date of interview.

EXAMPLE:

Smeckleburg, Sweets. Bus driver. April 1, 1996.

For a film:

Title, Director, Distributor, Year.

EXAMPLE:

Braveheart, Dir. Mel Gibson, Icon Productions, 1995

CD-ROM:

Disc title: Version, Date. “Article title,” pages if given. Publisher.

EXAMPLE:

Compton’s Multimedia Encyclopedia: Macintosh version, 1995. “Civil rights movement,” p.3. Compton’s Newsmedia.

Magazine article:

Author (last name first). “Article title.” Name of magazine (type of medium). Volume number, (Date): page numbers. If available: publisher of medium, version, date of issue.

EXAMPLE:

Rollins, Fred. “Snowboard Madness.” Sports Stuff (CD-ROM). Number 15, (February 1997): pp. 15-19. SIRS, Mac version, Winter 1997.

Newspaper article:

Author (last name first). “Article title.” Name of newspaper (Type of medium), city and state of publication. (Date): If available: Edition, section and page number(s). If available: publisher of medium, version, date of issue.

EXAMPLE:

Stevenson, Rhoda. “Nerve Sells.” Community News (CD-ROM), Nassau, NY. (Feb 1996): pp. A4-5. SIRS, Mac. version, Spring 1996.

Online Resources

Internet:

Author of message, (Date). Subject of message. Electronic conference or bulletin board (Online). Available e-mail: [email protected] e-mail address

EXAMPLE:

Ellen Block, (September 15, 1995). New Winners. Teen Booklist (Online). Helen [email protected]

World Wide Web:

URL (Uniform Resource Locator or WWW address). author (or item’s name, if mentioned), date.

EXAMPLE: (Boston Globe’s www address)

http://www.boston.com. Today’s News, August 1, 1996.

First Page
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Next: Revise the first draft
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I certify that I am the subscriber to the provided cellular or other wireless number and I authorize SchoolName and its representatives and agents to contact me regarding educational opportunities at any current and future numbers that I provide for my cellular telephone or other wireless device using automatic dialing systems, artificial or prerecorded messages, and/or SMS text messages, even if I will be charged by my service provider(s) for receiving such communications. Consent is not a condition for receiving more information from SchoolName, and I understand that if I no longer wish to receive communications, I will need to contact SchoolName to alter this consent.

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