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Mathematics – Physics

Mathematics – Physics

This is a joint track of the Faculty of Mathematics and the Faculty of Physics. Graduates of this track are awarded the degree “Bachelor of Science in Mathematics – Physics”. Significant achievements in scientific development were made when mathematics and physics developed simultaneously while setting mutual challenges. This track is intended for those who are interested in both mathematics and physics and who wish to enjoy both worlds. This is a three-year track and contains almost all of the required courses in physics and mathematics. The aim of the track is to provide students with a broad and solid foundation in both fields. Characteristic graduates of this track are physicists with a deep understanding of mathematics or mathematicians who have a very good approach to applied science. Graduates of this track will have a basic education in a wide range of physics and applied mathematics and will be able to integrate well into research and development teams in high-tech industries. In addition, they will be at an excellent starting point for graduate studies in both departments. 

 

Mathematics with Computer Science

Mathematics with Computer Science

This is a three-year (BSc) or four-year (BSc) program combining a degree in Mathematics with the study of the main subjects of Computer Science. In the three-year program, the courses in computer science constitute about one-third of the required points for the degree; the four-year program provides a broader foundation in computer science. Many Computer Science students, especially those who are studying for higher degrees, feel that they lack a strong mathematics foundation. This basis is also increasingly important to the industry. The program is designed to meet this requirement.

Graduates of the three-year and four-year programs are awarded the degree” Bachelor of Science in Mathematics with Computer Science”.

Mathematics with Statistics and Operations Research

Mathematics with Statistics and Operations Research

This is a three-year (BSc) program combining a degree in Mathematics with the study of the fundamental courses in Statistics and Operations Research (OR). The courses in Statistics and OR are taught by the Faculty of Industrial Engineering and Management and constitute roughly one-third of the required points for the degree.

The roles of Statistics and Operations Research have grown over the years in most areas of engineering, life sciences, social sciences, and management. The advantage of this track is the combination of a solid mathematical foundation, with training in applied aspects of mathematics and statistics. This program is well suited both for those who wish to continue in these fields in industry, as well as for those who wish to pursue a master’s degree.

Mathematics: Pure and Applied

Mathematics: Pure and Applied

The Mathematics track is the core track of the Faculty of Mathematics which equips the mathematicians of the future. This track is suitable for candidates who love Mathematics and excel at it. Applicants who register for this track can choose one of the following study tracks:

  1. Pure Mathematics: A three-year program. Graduates of this program are awarded the degree of BSc in Mathematics.
  2. Applied Mathematics: A three-year program. Graduates of this program are awarded the degree of BSc in Applied Mathematics.
  3. Applied Mathematics: A four-year program. Graduates of this program are awarded the degree of BSc in Applied Mathematics.

Admission and Study Requirements at the Pure Mathematics Track

Information for candidates regarding the Pure Mathematics Program

Research fields: The research fields of our faculty members include:   https://web.math.technion.ac.il/site/areas/

Master of Science

Admissions: Admission is decided on a case-by-case basis, based on academic background. Applications may be submitted twice a year.  As a rule, Applicants should:

  • Earn a cumulative average grade of 85 for their bachelor’s degree studies. Average grades between 80-85 will be discussed in the Graduate Studies Committee.
  • Complete the course “Real-valued functions” (number 104165) or an equivalent course at other institutions.
  • Complete four out of the seven following courses (or equivalent courses at other institutions):
COURSE NUMBER COURSE NAME
104030 Introduction to Partial Differential Equations
104283 Numerical Analysis 1
104276 Introduction to Functional Analysis
104177 Differential Geometry
104144 Topology
104280 Modules, Classes and Fields
104274 Field theory

* Applicants who do not meet these criteria should contact our graduate coordinator & their application will be discussed in the Graduate Studies Committee.

Program Structure:

Students may choose either a research thesis or a non-research-final paper track. The latter consists of an interpretation of a specific topic based on a survey of the current literature.  In addition,

  • Students holding a three-year bachelor’s degree should complete 55 credit points during their M.Sc. studies in both the final paper and the thesis track.
  • Students holding a four-year bachelor’s degree should complete 36 credit points during their M.Sc. studies in both the final paper and the thesis track.
  • The thesis is equivalent to 20 credit points and the final paper is equivalent to 12 credit points.
  • Students holding an undergraduate degree other than Mathematics are required to complete a higher number of credit points.
  • The total number of credit points for the M.Sc. degree coming from coursework is given by the following table:
Duration of the undergraduate degree The thesis route The final paper route
3 years 35 points 43 points
4 years 16 points 24 points

Distribution of Courses:

In the first three semesters of a student’s M.Sc. studies, four courses in two out of the three following fields should be taken: Algebra, Geometry-Topology, and Analysis.  Some standard graduate courses in each field are:

  1. Algebra: Modern Algebra 1 (106380), Modern Algebra 2 (106381).
  2. Geometry-Topology: Algebraic Topology (106383), Differentiable Manifolds (106723).
  3. Analysis: Functional Analysis (106942), Partial Differential Equations (106413). 

Additional graduate courses given by the Mathematics faculty can be found at /en/courses-for-graduates/.

 

Ph.D. program

Admissions: Candidates with a master’s degree who studied at Technion or an accredited academic institution in Israel or abroad, whose average grades and the grade on the thesis paper are not lower than an 80, may apply.

Study requirements: Doctor degree (Ph.D.), is the highest academic degree awarded by the Technion. It is based on substantial research and on reaching a professional level that enables independent high-level research. Ph.D. studies last between three to four years and usually require being full-time at Technion. Students devote their time mainly to research, participate in advanced seminars, and take courses according to a personal program. Students are required to submit a research proposal within eleven months and to pass a candidacy exam a month after that. During the candidacy exam, they will need to demonstrate their ability to conduct independent and original research on the research topic they have chosen. In the final year of their studies, students are required to present their work in a departmental seminar, submit their research Thesis, and pass a final oral exam. In addition, 10 credit points from coursework should be completed. 

Instructions for the submission of a research proposal for a PhD

The description of the research proposal will be used as the basis for the review of candidacy and will be submitted to the Committee through the advisor within 11 months from the commencement of the course of study, based on the following instructions:

  • The name of the topic will appear in Hebrew and English.
  • Scope of the proposal: about 25 pages.
  • Content of the proposal:
    • A review of the research background (including literary review)
    • The objectives of the research (Faculty-specific instructions may be received from the Department Secretary)
  • The research proposal will be submitted to the graduate studies coordinator, Anat Cohen: mathgrd@technion.ac.il  signed (at the first page) by the advisor and the Graduate Studies Department Committee Coordinator, Prof. Roy Meshulam meshulam@math.technion.ac.il, after passing the research ethics test and inputting the research’s keywords
  • Appointment of the examiner’s committee for the review of candidacy
  • The review of candidacy will take place within one month from the submission of the research proposal.

For registration  to our graduate program follow this link

For further information: mathgrd@technion.ac.il

 

A photo of a hand writing in a lecture

Why study Mathematics?

Mathematics is the logical basis for most scientific and engineering disciplines. A bachelor’s degree in mathematics allows a graduate to work in different industries or to continue to graduate studies in math or other math-intensive fields.

The advantage of mathematics graduates over graduates from other scientific and engineering disciplines is their deep understanding of the foundations of mathematics and for their fundamental and structured thinking,  which is an asset in any field. In addition, courses designed for mathematics students are profound and present the beauty of mathematics. 

A large part of modern mathematics is based on an amazing belief (which is shared by the mathematical community and has a number of outstanding cases to support it) that, even if at first it seems totally abstract and detached from reality–a truly deep and beautiful mathematical theory, will eventually find its way into physics or other applied science. If the previous sentence aroused your curiosity, and you want to know more about how it works in practice, the Department of Mathematics is the place for you
Michael Entov, Mathematics Professor
Michael Entov