**Introduction**

The Institute of Mathematics at Eötvös Loránd University offers two MSc level programs in mathematics: one with emphasis on pure mathematics, featuring classical disciplines like algebra, analysis, topology, geometry, discrete mathematics and stochastics and another one focusing more on applied mathematics with areas like numerical mathematics, computer science, financial mathematics and some other interdisciplinary subjects. Both programs consist of a sound amount of **coursework** and of **research**, done in form of **project works** and by writing a **thesis**. Graduating students will be well prepared to continue their studies at a higher (PhD) level but they may directly proceed to pursue a career in high tech industry or financial institutions as well. During their studies students have full access to departmental computing facilities and a well equipped library. International students get individual attention and help from assigned tutors and supervisors.

### Prerequisites

BSc in Mathematics (or in a closely related field, with a prescribed number of mathematical credits), a reasonable command of English language

## MSc program in pure mathematics

**Name of the diploma: **MSc in Mathematics

**Length:** 4 semesters, 120 credits (100 credits for course work, 20 credits for thesis)

The aim of the program is to introduce the interested students more deeply into fundamental subject areas like algebra, analysis (real, complex, functional, applied etc.), differential equations (ordinary, partial), discrete mathematics (algorithms, graph theory, computer science), geometry (differential, combinatorial, convex), number theory (additive, algebraic, multiplicative etc.), operations research, stochastics (probability theory, statistics, financial mathematics). Some basic (BSc level) courses are offered to those who lack the necessary background. Students are strongly encouraged to start independent research. Students graduating from the program usually continue their studies and research at a doctoral school either at Eötvös Loránd University or at a different institution. The versatility and the depth of the subjects of the master’s program usually makes it easy for them to pass the comprehensive / qualifying exams of these doctoral schools. On the other hand graduating students may also proceed directly to pursue a career in high tech industry or financial institutions.

For a detailed description of the program, describing the requirements and the content of subjects see the program and subjects.

You can also find a summary of the courses with a tentative scheduling of the subjects.

Please, note that the teaching language of these courses is Hungarian. However, on request (almost) any of them will be offered (also) in English.

## MSc program in applied mathematics

**Name of the diploma: **MSc in Applied Mathematics

**Length:** 4 semesters, 120 credits (100 credits for course work, 20 credits for thesis)

This program focuses on well-founded applications, so a sound mathematical background is essential here as well. The institute offers basic courses for those who lack some prerequisites. Students may choose from two specializations: **economathematics** and **technomathematics**, as it is usual at an ECMI node. The real-life applications are also part of the curriculum, e.g. in the form of the course „Individual Project Work”, running for 3 semesters. Here the students may choose a topic form a wide list and work under the supervision of leading experts of the area, either at an external institution, or within the university. This work often leads to a high-level, practically oriented thesis.

For a detailed description of the program, describing the requirements and the content of subjects see the program and subjects.

**Application procedure**

*The next few steps should be done by those individual candidates who do not wish to apply for the Stipendium Hungaricum scholarship. (Applicants of the scholarship program should follow the instructions of the Tempus Foundation.)*

- Fill the online application form at https://registration.elte.hu
- Send the saved version of the form to mathinst@cs.elte.hu
- together with the scanned versions of the following documents:
- degree certificate (BSc), together with English (or Hungarian) translation
- transcript of records (BSc), together with English (or Hungarian) translation
- CV, containing data about past professional activities (education, employment history), awards, list of publications etc.
- motivation letter, describing main lines of interest within mathematics
- (optional) 2 letters of recommendation by people qualified to judge the applicants professional potentials and/or achievements
- copy of the main page of the passport, together with a passport photo
- copy of the transfer of application fee
- English language certificate, proving reasonable command of the language

**Entrance examination (for all international applicants)**

A **written test will be sent** (via e-mail) to the applicant, covering basic fields of mathematics (algebra, analysis, combinatorics, geometry, probability theory). In a limited amount of time the applicant will have to send back the solutions. In some cases **a skype interview may follow**.

Here is a **sample exam** from 2018.

Here is the **detailed list of conditions of the exam together with topics for the subjects**.

While preparing for the exam, you may find helpful the** table containing the description of BSc courses.**

The tentative time for writing the exam is the period between April 10 and 30 (for SH candidates) and second half of June for individual applicants.

**Deadline:** Please, note that (for individual applicants) the deadline for sending the application is June 15 for the fall semester and November 15 for the winter semester.

**Contact**

For further information, please contact our international coordinator Prof. István Ágoston (agoston “at” cs.elte.hu) or our administrator Ms. Klaudia Szalay (szalayk “at” cs.elte.hu)