فاطمه محمد مصطفى العظمى

Some usefull links

http://en.wikipedia.org/wiki/General_topology

Prerequisite: Math 102

Description of the course:

 Caresian ,cylinderical and spherical coordinate systems. Functions of two and three variables. Limits and continuity, partial derivative, the chain rule, extrema of functions of two variables, Lagrange multiplier. Double integral, doule integrals in polar coordinates, triple integral. Sequences, infinite series, convergence test, representation of functions by power series. Taylor and Maclurain series.

Math 201: Differential and Integral Calculus ( 4 hour course) حساب التفاضل والتكامل    201 ريض  Prerequisite: Math 102 Title of the Book for the course:   حساب التفاضل والتكامل لدوال في عدة متغيرات تأليف    د.تحسين مصطفي غزال      د.مصطفي خليل دملخي      د. سعدون ابراهيم البراهيم Description of the course:  Caresian ,cylinderical and spherical coordinate systems. Functions of two and three variables. Limits and continuity, partial derivative, the chain rule, extrema of functions of two variables, Lagrange multiplier. Double integral, doule integrals in polar coordinates, triple integral. Sequences, infinite series, convergence test, representation of functions by power series. Taylor and Maclurain series. وصف المقرر بالعربي: 1-الدوال في عدة متغيرات 2-النهايات والإتصال للدوال في عدة متغيرات  3- الإشتقاق الجزئي والقيم العظمي والصغري 4- التكامل الثنائي 5- التكامل الثلاثي وتطبيقاته  6-المتتابعت والمتسلسلات الغير منتهيه  7-متسلسلات القوى للحصول على أرقام التمارين  أنقر هنا للحصول على حلول لبعض التمارين أنقر هنا  للحصول على بعض الإمتحانات القديمة أنقر هنا Exams: First mid trem on 2\4\1429  and from 8:00-9:30. It is out of 20 points Second mid trem on  15\5\1429 and from 8:00-9:30. It is out of 20 points Home work: is 10 points Final Exam: out of 50 points  Home Works: List of the questions is given to the students. Soon I will post it here too. Some usefull links http://ocw.mit.edu/OcwWeb/Mathematics/18-02Spring-2006/CourseHome/index.htm http://mathforum.org/library/topics/sequence_series/   Below are some old exams for this course when I taught.  ===================================================== Title : Math 499 Undergraduate research in Mathematics ( 3 Credit hours)  Description of the course:  This is an independent reading course. The student chooses a topic of his interest in Mathematics with the help of his adviser. He is expected to gather the necessary references to help him understand the topic. He then writes a report that reflects his understanding of the topic.   ==================================================== Math 482: Multivariable Calculus ( 3 hours course) Prerequisite: Math 201, Math 242, Math 282. Book for the course: Multivariable Calculus, by L. Corwin and R. Szczarba. We will cover from chapter 1 up to chapter 12. You need to parctice a lot, as this is an analysis course. Description of the course: 1-Define norms, inner product on general vector spaces. 2- Study linear transformation and its properties. 3- Study sequences in normed vector spaces, convergence and other properties.. 4- Define norms, inner product on general vector spaces. 5- Study continuity of functions on normed vector spaces using the definition and in particular in R^3 . 6- Study differentiability in R^n or in any normed vector space and its propeties. 7- Study chain rule and other rules. 8- Study higer order derivatives and Taylor's  Theorems. 9- Study maxima and minima, quadratic forms, Lagrange multiplier method. 10- Inverse and implict function theorems in higher dimention.  11- Integration of function of n varaibles, using definition. 12-  Fubini's Theorem and change of variable formula.  Home Works: To get the list of home works problems, please click here. Solution to Some Problems: Here is some notes and solutions to some problmes, click here. Old Exams: To get a copy of some old exams, click here. Some usefull links: http://mathforum.org/library/topics/diff_sv/ http://mathforum.org/library/topics/sequence_series/ http://mathforum.org/library/topics/integ_sv/ http://ocw.mit.edu/OcwWeb/Mathematics/18-02Spring-2006/CourseHome/index.htm  Exams: First mid trem on 2\4\1429  and from 11:00-12:30. It is out of 20 points Second mid trem on  15\5\1429 and from 11:00-12:30. It is out of 20 points Home work: is 10 points Final Exam: out of 50 points.

Math 201 Type Name Modified By Exam-math201 فاطمه محمد مصطفى العظمى  Add new document

Below are some old exams for this course when I taught.