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Dr. زهراء الخليل علي ابراهيم

Assistant Professor

قسم الرياضيات

Faculty of Science and Arts in Qilwa

  • قسم الرياضيات - شطر البنات
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أستاذ مساعد - قسم الرياضيات - كلية العلوم والاداب بقلوة - جامعة الباحة

Education

2002

جامعة الجزيزة, Sudan

Bachelor Degree, رياضات -فيزياء

2006

جامعة الجزيزة- كلية العلوم, Sudan

Master Degree, رياضيات

2017

جامعة بحري- كلية العلوم, Sudan

PhD, رياضيات بحته

Experiences

أستاذ مساعد

  • رفاعة, Sudan

  • /

  • From : 01-08-2017

  • /

  • To : 15-02-2022

عضو هئية تدريس

محاضر

  • رفاعة, Sudan

  • /

  • From : 01-08-2007

  • /

  • To : 01-08-2017

عضو هئية تدريس

Research Interests

في مواضيع  كل من التحليل الحقيقي والفضاءات في التحليل الدالي 

Publication Profile

Teaching Courses

Math10601

التحليل الحقيقي (2)

Credit Hours: 3
Course term: 2
Communication Hours: 3

This is an undergraduate course for students of mathematics. It is a continuation of Real Analysis 1. It covers some important topics in real analysis which are series, power series, Riemann integration and improper integrals.

Math10801

التحليل الدالي

Credit Hours: 3
Course term: 2
Communication Hours: 3

This is an undergraduate course for students of mathematics. It introduces the basic concepts and fundamental theorems of functional analysis and how to apply those theorems in solving mathematical problems. Topics include metric spaces, normed spaces, inner product spaces, the fundamental theorem of Functional Analysis, and some applications of Functional Analysis such as Banach fixed point theorem.

Math10804

بحث التخرج

Credit Hours: 3
Course term: 2
Communication Hours: 3

تدريب الطلاب علي كتابة مقال وبحث علمي إعداد بحث في الرياضيات بإشراف أحد أعضاء هيئة التدريس بالقسم - يتألف الإجراء المتبع من ثالث خطوات رئيسة: • اختيار مادة البحث • الحصول على المراجع المتعلقة بمادة البحث ودراستها2 • كتابة البحث وعرضه

Math10403

الفازية

Credit Hours: 3
Course term: 2
Communication Hours: 3

This course introduces fuzzy mathematics. The student enrolled in this course should have a background in set theory. It also deals with subjects such as the basic concepts of fuzzy mathematics: fuzzy sets theory, crisp and non-crisp sets, fuzzy membership function, Geographic representation of fuzzy sets, small and prime numbers, operation on fuzzy sets and its related properties, fuzzy relation, forming fuzzy relation, membership matrix, Graphical form, Membership matrix, Graphical form,

Math10403

التحليل الحقيقي (1)

Credit Hours: 3
Course term: 2
Communication Hours: 4

This course deals with basic properties of the field of real numbers ,Bounds, completeness axiom, countable sets .Sequences and their convergence, monotone sequence, subsequences, Cauchy Sequences, Cauchy criterion. Bolzano-Weierstrass theorem. Basic topological properties of the real numbers . Limit of a function, continuous functions and properties of continuity, uniform continuity, compact sets. The derivative of a function, mean value theorem , L' Hospital rule, Taylor formula with remainder

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