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Preinvex Function and Integral Inequalities

Thesis Info

Author

Sundas Khan

Supervisor

Muhammad Aslam Noor

Department

Department of Mathematics

Program

PMT

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720735967

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اداریہ

سیالکوٹ کی تہذیب قدامت کے لحاظ سے پانچ ہزار سال سے بھی پہلے کے آثار ظاہر کرتی ہے۔راجہ شل نے اس تہذیب کو پروان چڑھانے میں اہم کردار ادا کیا۔اس شہر کی تہذیبی روایات اور علمی آثار " مہابھارت" میں بدرجہ اُتم موجود ہیں۔سیالکوٹ کی مٹی بڑی زرخیز اور مردم خیز ہے۔سرزمین سیالکوٹ نے علم وادب وفنون لطیفہ کے میدانوں میں گراں قدر خدمات سرانجام دی ہیں۔سیالکوٹ کی علمی وادبی  اہمیت مسلمہ ہے۔ہر دور میں خواہ وہ ہندو راج ہو ، مغلیہ راج ہویا انگریز راج سیالکوٹ نے ہردور میں علمی وادبی مرکز کے حوالے سے اپنی شناخت قائم رکھی ہے۔یہاں سے بہت سی نامور روحانی اور علمی وادبی شخصیات نے جنم لیا ہےاور بعض نے یہاں کی روحانی اور علمی وادبی شخصیات سے فیض حاصل کیا ہے۔٧٠٠ قبل مسیح سے٦٠٠ قبل مسیح تک یہ اتنا عظیم تعلیمی مرکز تھا۔کہ بنارس کے شہزادے حصول علم کے لیے یہاں آتے تھے۔

اکیسویں صدی عیسویں میں بھی شہرِ اقبال اپنی تہذیبی و ادبی  روایات کی بازیافت کے لیے خاصا سرگرم عمل ہے۔ملا عبدالحکیم سیالکوٹی ،مولانا فیروزالدین،اقبال ،فیض ،مولانا ظفر علی خاں،  ہاشم شاہ،حضرت رائج سیالکوٹی، دلشاد ،منشی میراں بخش جلوہ،محمد الدین فوق ،اثر صہبائی ،سلیم واحد سلیم ،بدری ناتھ سدرشن،جوگندر پال ،غلام الثقلین نقوی ،رجندر سنگھ بیدی،عبدالحمید عرفانی،سرمد صہبائی،خالد نظیر صوفی، ڈاکٹر جاوید اقبال،ساغر جعفری،مولوی ابراہیم میر،آسی ضیائی رامپوری،طفیل ہوشیارپوری،اے ڈی اظہر،حفیظ صدیقی،صابر ظفر،اصغر سودائی اور جابر علی سید دنیائے شعروادب کے اہم ستارے ہیں۔جن کا تعلق سیالکوٹ کی دھرتی کے ساتھ تادمِ حیات رہا ۔موجودہ دور میں بھی خطہ سیالکوٹ علمی وادبی میدان میں مضافاتی دائرے سے نکل کر قومی وبین الاقوامی ادبی دھارےمیں شامل ہونے کے لیے پرتول رہا ہے۔پنجاب لٹریری فورم سیالکوٹ اسی سلسلے میں اہم کردار ادا کررہا ہے۔اس ادبی تحریک کا ثمر اس خطے کی ادبی سرگرمیوں کی نشاة ثانیہ کی...

Identity Negotiation of Female Esl Learners: Communities of Practice Perspective

This qualitative study employs Communities of Practice (Lave& Wenger, 1991) framework to map out how female learner identity is built and negotiated within Post-colonial Pakistan. The study traces out the ongoing identity struggles of young Pakistani female ESL learners at The Institute of English Language and Literature (IELL), University of Sindh, Jamshoro, Pakistan, from a broadly poststructuralist perspective. Data analysis and interpretation were guided by CoP framework which views learner as essentially part and parcel of the learning environment within which learning takes places. The data revealed a complex picture of Female English Language Learner Identity (FELLI), as diverse subject positions emerged while the participants developed a sense of alignment with different CoP and displaying acts of resistance to counter discrimination. Higher education appeared as a site of identity negotiation and transition into new CoP for the participants. The participants demonstrated signs of social, linguistic and academic participation in as participating members of academic CoP.

Studying Mathematical Discussion Through the Work of Other Teachers

This study concerns the use of mathematical talk in the teaching of mathematics. It looks at two teachers' pedagogical issues and how one of them translates ideas of classroom discussion into practice in mathematics lessons. Literature on group work which I had learned in the course of my M. Ed programme claimed that mathematical discussion enhances pupils' understanding of mathematics. So I planned to study these claims through the work of other teachers, Ms Husan and Mr. Rahim. The research study also considers aspects of mentoring experienced teachers and the resulting implications, and explores tensions and concerns which are a consequence of mentoring relationships. The research uses, extensively, classroom observation methods to investigate what happens as a teacher attempts to put into practice those ideas which were earlier negotiated in mentoring sessions. Data were collected by means of classroom observations (written notes about my perceptions of lessons), interviews with teachers and from teachers' diaries - written comments about lessons. Another source of data was my own personal reflections about what I saw and heard teachers doing and saying about their work. These personal accounts of what occurred, which I recorded in my reflective journal, constituted my perceptions of events. Mr. Rahim showed no interest in discussion-based methods of teaching. Although it might have been educationally sound for him to introduce changes in his pedagogy, he did not see classroom innovations as one of his immediate needs. Possibly he did not understand the objective of using group work as an instructional strategy. He was concerned about the impact of this strategy on his students. His biggest concern was time and completion of the syllabus. He lacked personal philosophy in the process of professional growth. He cited time constraints and school exams (end of year) as the major obstacles to implementing new ways of teaching. He, therefore, preferred to conserve his expository methods because they enabled him to cover a vast amount of the curriculum within short periods of time. Perhaps he took pupils' understanding of the subject matter for granted.