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  • What are Uninettuno Massive Open Online Courses (MOOC)
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    Thanks to the UNINETTUNO MOOCs you will be able to freely follow the lectures of the best Italian and international lecturers drawn from a selection of the best courses of UNINETTUNO, in Italian, English and Arabic; you will have at your disposal digitised and indexed on-demand video lectures, usable on a PC as well as on smart phone and tablet, including hypertextual links to more-in-depth study materials (books and articles, practice work, slides, bibliographical references, lists of websites). You will also have at your disposal a collaborative discussion environment, a thematic forum by means of which you will be able to exchange views with your colleagues on the issues dealt with in the lectures, discuss the practice work done, cooperatively create new knowledge in a process that will see you active players of your own learning process.

  • How to get Credits (European Credits Transfer System) with Uninettuno MOOC
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    If you have enjoyed the MOOCs experience, you can transform it into an actual asset for your academic and professional career: by enrolling in the corresponding UNINETTUNO university course, you will be included into a class and have the support of a tutor who will guide you along your learning path; you will be able to participate in a course delivery cycle, interact with professors and tutors in real time in UNINETTUNO virtual classrooms on the Web (on live streaming) or in UNINETTUNO Island of Knowledge on Second Life; the tracking of your activities on the MOOCs will be recorded and you will be acknowledged as an attending student and will be able to sit for the exam that will allow UNINETTUNO to officially assign you – in case of success – the university study credits corresponding to the selected courses, based on the Credits (European Credits Transfer System) - European Credit Transfer System, recognised by the Italian and by EU universities.

The course # of Uninettuno allows you to get # university credits according with the European System ECTS (European Credits Transfer System) and legally recognized by European and International Universities.
In order to get credits you need to study online following the Uninettuno model until the final exam.
The certification fee of the course # is # Euros that you can pay by Bank transfer to:

Università Telematica Internazionale UNINETTUNO
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BIC BCITITMM (only for bank transfers from abroad)
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Once you have paid the registration fee for the single course you will be contacted by our student secretariat to arrange your online studies.
If you prefer you can contact our student secretariat by email at info@uninettunouniversity.net to be driven into the path of registration.

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Ingegneria Informatica/Information and communication technologies engineering (with Helwan University) (Academic Year 2010/2011)

Mathematics I


Credits: 5
Available languages: AR, EN, FR, IT
Content language:Arabic
Course description
The course provides an introduction to the mathematical analysis and linear algebra. The course starts with the real numbers and the related one-variable real functions by studying limits, and continuity. Then it approach the core of calculus, differentatial and integral theory for one-variable real functions. The aspects of linear algebra are also included in the course: in particular by studying the linear spaces and the theory and calculus of matrices.
Prerequisites
Analytic geometry on the plane. Elementary functions. Algebraic, trigonometric, exponential and logarithmic equations and inequalities.
Objectives
• Calculus of limits; • Differentianting one-variable real functions, in particular elementary real functions; • Study of the behaviour of any one-variable real function; • Calculus of integrals.
Program
• Elementary logic. Sets, relations, functions. Transformations on graphics. Compositions of functions; inverse functions. • Limits and continuity. Calculus of limits. Discontinuities. Asymptotic. Sequences. Landau symbols. Basic results on limits and on global properties of continuous functions. • Derivatives and derivation rules. Second derivatives and convexity. Differential calculus results (Fermat, Rolle, Lagrange, Cauchy, De L’Hopital Theorems). Taylor approximations. • Primitives and definite integrals. Integration rules. Improper integrals. symbols. Basic results on limits and on global properties of continuous functions.
  • Derivatives and derivation rules. Second derivatives and convexity. Differential calculus results (Fermat, Rolle, Lagrange, Cauchy, De L'Hopital Theorems). Taylor approximations.
  • Primitives and definite integrals. Integration rules. Improper integrals.
  • Book
    • Advanced Engineering Mathematics, A Jeffrey; Harcourt/Academic Press; 2002; • H Anton; Elementary Linear Algebra, Wiley; 1991; • R. Bartle & D. Sherbert, Introduction to Real Analysis, Wiley, 1982; • R. Haggerty, Fundamentals of Mathematical Analysis, Addison-Wesley, 1992; • Linear Algebra: S Lipschutz, McGraw-Hill • Dolciani, M. et al : Introductory Analysis , Houghton Mifflin , Boston , 1991. • Fouad Rajab: Differential and integral, knowledge house (Dar Al Maarfa), Al Cairo, 1972. • Sadek Bshara: Differential and integral calculus, Agency of Modern Publishing, Alexandrina Egypt 1962.
    Professor
    Professor not available
    Video professors
    Prof. Assem Deif - University of Cairo (Cairo - Egypt)
    List of lessons
        •  Lesson n. 1: Introduction  Go to this lesson
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        •  Lesson n. 2: Real Numbers  Go to this lesson
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        •  Lesson n. 3: Real functions  Go to this lesson
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        •  Lesson n. 8: Limits  Go to this lesson
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        •  Lesson n. 9: Limit theorem  Go to this lesson
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        •  Lesson n. 10: Continuity  Go to this lesson
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