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Mathematics, Short Course

  • Anytime
    Application Deadline
  • 1 month
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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.

Detailed Programme Facts

  • Deadline and start date A student can apply at any time for this programme, there is no deadline.
  • Programme intensity Part-time
    • Average part-time duration 1 months
  • Credits
    9 ECTS
  • Languages
    • English
    • Arabic
    • Italian
    • French
  • Delivery mode
    • Time flexibility
      Fully structured
    • Attendance
      No Attendance
    • Teacher support
      Continuous support with feedback on request

Programme Structure

Courses included:

  • Lesson n. 1: Introduction
  • Lesson n. 2: Real Numbers
  • Lesson n. 3: Real Functions
  • Lesson n. 4: Classifications of functions
  • Lesson n. 5: Basic functions
  • Lesson n. 6: Composite functions
  • Lesson n. 7: Inverse functions
  • Lesson n. 8: Limits
  • Lesson n. 9: Limit theorem
  • Lesson n. 10: Continuity
  • Lesson n. 11: Differentiation
  • Lesson n. 12: Derivative of the inverse, composite and implicit functions
  • Lesson n. 13: Applications to the derivative
  • Lesson n. 14: Indeterminate forms and l'hospital rule
  • Lesson n. 15: Maximum and minimum values of a function
  • Lesson n. 16: Curve sketching
  • Lesson n. 17: Antiderivative or the indefinite integral
  • Lesson n. 18: Integration by substitution
  • Lesson n. 19: Integration by parts
  • Lesson n. 20: Trigonometric and hyperbolic integrals
  • Lesson n. 21: Trigonometric and hyperbolic substitutions
  • Lesson n. 22: Integration by partial fractions
  • Lesson n. 23: The definite integral
  • Lesson n. 24: Properties of the definite integral


  • Prof. Assem Deif - University of Cairo (Cairo - Egypt)

English Language Requirements

This programme may require students to demonstrate proficiency in English.

General Requirements

  • to have a connection to the Internet. For optimum use an ADSL connection is suggested.
  • to have installed on one's own system one of the principal browsers available, for example: Microsoft Edge
  • Note: Internet Explorer 11 on Windows 7 is not supported.
  • On the Linux platform it is possibile to access films in streaming by installing the proper codec on one's own mutimedia player of choice.
  • On MacOs, browser Safari, in the Privacy settings disable "Prevent Cross-Site Tracking".
  • On iOS, browser Safari, in the Privacy settings disable "Prevent Cross-Site Tracking".
  • to have installed on one's own system the software Adobe Acrobat Reader in order to view materials in pdf format.

Tuition Fee

  • International

    180 EUR/full
    Tuition Fee
    Based on the original amount of 180 EUR for the full programme and a duration of 1 months.
  • EU/EEA

    180 EUR/full
    Tuition Fee
    Based on the original amount of 180 EUR for the full programme and a duration of 1 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.


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