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Mathematics, Short Course

  • Anytime
    Application Deadline
  • 1 month
    Duration
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Overview

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
    Online
    • 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

Lecturers

  • 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.

Funding

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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