# Mathematics I, Short Course

• Anytime
• 1 month
Duration
Online
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.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.

## Detailed Programme Facts

• Deadline and start date A student can apply at any time for this programme, there is no deadline.
• Programme intensity Full-time
• Full-time duration 1 months
• Credits
5 ECTS
• Languages
• English
• Arabic
• Italian
• French
• Delivery mode
Online

## Programme Structure

Courses included:
• Lesson n. 1: Introduction
• Lesson n. 2: Real Numbers
• Lesson n. 3: Real functions
• Lesson n. 4: Classification 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

## Lecturers

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

## English Language Requirements

This programme may require students to demonstrate proficiency in English.

• 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 Applies to you

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 Applies to you

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.

### The Global Study Awards: get funded with up to £10,000 to study abroad

Together with the ISIC Association and British Council IELTS, Studyportals offers you the chance to receive up to £10000 to expand your horizon and study abroad. We want to ultimately encourage you to study abroad in order to experience and explore new countries, cultures and languages.