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Mathematical Engineering

Politecnico di Milano, Milan

Tuition, per year

€3,943.04

Politecnico di Milano, how much does it costchecked

Application deadline

Set by this cycle’s call

The date appears here, with its link, once a person has opened that call.

English requirement

Medium of Instruction letter accepted

The university’s exact wording
“The rule, verbatim: "All applicants need to provide a document attesting their English language knowledge." A medium of instruction letter replaces the test. The exemption clause, verbatim: "Students who can prove that English was the medium of instruction for their Bachelor's degree (for at least 3 years) are exempt from providing any English language certification. In this case, students must upload a document certified by their university confirming that at least 75% of the courses in their programme were taught in English." Accepted certificates, listed by Politecnico as updated for A.Y. 2026/2027, with the required score: IELTS Academic or IELTS General Training 6 or above. TOEFL paper based 547 or above, computer based 210 or above, internet based and TOEFL Home Edition 78 or above for tests taken until 20/01/2026 and 4.5 or above for tests taken from 21/01/2026, with Politecnico di Milano TOEFL code 9795. TOEIC, for tests registered up to 28 February 2026, 720 or above Listening and Reading; for tests registered from 1 March 2026, 785 or above Listening and Reading plus 310 or above Speaking and Writing. Cambridge Proficiency pass at grade C, Advanced pass at grade C, First pass at grade B. Trinity College ISE II or above. Pearson PTE Academic overall score 59 or above. Pearson PEIC English International Certificate overall score 59 or above. LanguageCert ESOL B2 Communicator, 4 skills, or above. Duolingo is not on the accepted list. The university adds that it "does not accept certifications considered expired by the issuing institution". On timing, the certificate "is not compulsory to complete the online application process and to start your evaluation, but it is MANDATORY in order to obtain your admission letter, to be considered for merit-based scholarships, to obtain the Visa and to enrol at Politecnico di Milano", and it "does not influence the outcome of your evaluation and can be provided after the application deadline". Italian is not needed to enter this programme. Politecnico asks for proof of Italian at enrolment only for programmes taught entirely in Italian, or in Italian and English. It is needed before you graduate. The university states that an Italian language proficiency test is mandatory for international students admitted to all English language Laurea Magistrale programmes, and that you must certify the language before sitting the graduation exam. A student admitted without it carries an Italian OFA, an additional learning obligation, and has to clear it before graduating.”

Politecnico di Milano, official programme pagechecked

  • LevelMaster's degreeLaurea Magistrale
  • SubjectEngineering
  • Taught inTaught in English
  • Length2 years
  • DeliveryOn campus
  • StartsSeptember
  • AdmissionRestricted, entrance testThere is an entrance test
  • Minimum markNo minimum stated

The money

What you pay, and what you must prove you have.

Two different things, kept apart on purpose: a bill you pay, and a balance a visa officer needs to see that never gets spent.

What you pay

Tuition, per year

€3,943.04

about PKR 1,267,000

Why this figure, and not a lower one

Italian state fees usually scale with an assessed household indicator. Where the call states one figure it appears above; where it states a scale, this page says so rather than averaging it.

Politecnico di Milano does not price degrees individually. One all inclusive contribution covers any programme and is scaled by ISEE, the Italian measure of household income and assets, from 157.04 euro at the bottom of the scale to 3,943.04 euro at the top. The figure here is the top, because the university states that an international student in the reserved non EU category, admitted with a first level qualification obtained abroad and holding no scholarship, pays the maximum whatever ISEE says.

To be considered, once

€150

about PKR 48,000

Paid to the university when you submit. Non-refundable, and separate from anything the visa itself costs.

Politecnico di Milano, official programme pagechecked

What you must prove you have

  • Funds you must show, per year

    €10,179.85

  • Health cover, minimum

    €30,000

How these two are decided

Funds you must show: in your own account, or evidenced by a sponsor or an award. Cash is refused.

Health cover: emergency treatment and repatriation, across the Schengen area, for as long as the visa lasts.

Universitaly (MUR)checked

Who may hold the money, and the refusal of cash, are the embassy’s own rules for a study visa rather than the university’s.

Embassy of Italy, Islamabadchecked

Rent, food and travel are in none of the figures above. What a month actually costs in Italy.

Amounts are in euro, as published. €1 = PKR 321.43, 30 August 2026.

Entry requirements

What this call asks of you.

The admission model first, because it is the one that closes a degree for a year. Everything below it is quoted from the university's call for applications for this cycle, in its order.

  • How it admits

    Restricted, entrance test

    accesso programmato

    The university's own wording
    “Admission to the programme is open to students holding a Bachelor's degree or an equivalent university qualification, with an adequate background in the fundamental and core subject areas.”
  • Entrance tests

    Not yet read from the call

What the call asks for

  1. A bachelor degree, or being in the process of completing one, which must be obtained before enrolment at Politecnico di Milano

  2. The degree must give access to Level 7 EQF of the European Qualifications Framework

  3. The degree must contain subjects closely related to the MSc programme applied for

  4. The degree must be issued by a university or other institution at university level belonging to the official education system of the country of reference

  5. Bachelor degrees obtained on the basis of a franchising agreement are not accepted

  6. Applicants who have a Bachelor of Science in a different field, or who attended a vocational school, cannot apply directly for a Master of Science

  7. If you hold both a bachelor and a master degree, you will be evaluated on the basis of your bachelor degree only

  8. Pakistan specific, verbatim: Minimum GPA required for the application is 3.3 out of 4. The university adds that the requirements including minimum GPA are strict and no exceptions will be considered

  9. Pakistan specific, verbatim: We do not accept 2+2 year bachelor degrees. We accept only 4-year continuous bachelor programmes (in line with HEC new bachelor's degree policy)

  10. Pakistan specific: transcripts must be originals with stamp and signature, not photocopies, certified by your university Registrar's Office or by the Higher Education Commission (HEC) of Pakistan

  11. Pakistan specific: a letter issued by your university stating your weighted average score, in addition to your academic transcripts

  12. A document attesting English language knowledge, either an accepted certificate or a medium of instruction letter

  13. No entrance test. The GRE General Test is optional for engineering applicants and no minimum score has been set

  14. You may apply once per semester for up to two Master of Science programmes at the same time

  15. Politecnico di Milano may at any stage of the evaluation ask for the Declaration of Value of your degree or the CIMEA Statement of Comparability

The English rule

Medium of Instruction letter accepted

“The rule, verbatim: "All applicants need to provide a document attesting their English language knowledge." A medium of instruction letter replaces the test. The exemption clause, verbatim: "Students who can prove that English was the medium of instruction for their Bachelor's degree (for at least 3 years) are exempt from providing any English language certification. In this case, students must upload a document certified by their university confirming that at least 75% of the courses in their programme were taught in English." Accepted certificates, listed by Politecnico as updated for A.Y. 2026/2027, with the required score: IELTS Academic or IELTS General Training 6 or above. TOEFL paper based 547 or above, computer based 210 or above, internet based and TOEFL Home Edition 78 or above for tests taken until 20/01/2026 and 4.5 or above for tests taken from 21/01/2026, with Politecnico di Milano TOEFL code 9795. TOEIC, for tests registered up to 28 February 2026, 720 or above Listening and Reading; for tests registered from 1 March 2026, 785 or above Listening and Reading plus 310 or above Speaking and Writing. Cambridge Proficiency pass at grade C, Advanced pass at grade C, First pass at grade B. Trinity College ISE II or above. Pearson PTE Academic overall score 59 or above. Pearson PEIC English International Certificate overall score 59 or above. LanguageCert ESOL B2 Communicator, 4 skills, or above. Duolingo is not on the accepted list. The university adds that it "does not accept certifications considered expired by the issuing institution". On timing, the certificate "is not compulsory to complete the online application process and to start your evaluation, but it is MANDATORY in order to obtain your admission letter, to be considered for merit-based scholarships, to obtain the Visa and to enrol at Politecnico di Milano", and it "does not influence the outcome of your evaluation and can be provided after the application deadline". Italian is not needed to enter this programme. Politecnico asks for proof of Italian at enrolment only for programmes taught entirely in Italian, or in Italian and English. It is needed before you graduate. The university states that an Italian language proficiency test is mandatory for international students admitted to all English language Laurea Magistrale programmes, and that you must certify the language before sitting the graduation exam. A student admitted without it carries an Italian OFA, an additional learning obligation, and has to clear it before graduating.”

The application file

  • University qualification: an official copy of the bachelor degree, or an official provisional certificate, or an enrolment document from your University Registrar's Office if you have not graduated, carrying stamps or signatures
  • Academic transcript: an official document from the university Registrar's Office listing courses taken, grades received and the relation between credits and hours, scanned on both sides, original rather than a photocopy
  • Cumulative GPA statement: must show both your CGPA and the grading scale with the minimum passing grade in use at your university, officially issued by the university
  • Curriculum vitae: a written description of work experience, educational background and skills, maximum 2 pages
  • English language document: an accepted certificate, or a university certified letter that English was the medium of instruction for at least 3 years covering at least 75% of the courses
  • Official translation of the transcript and of the qualification if the original is not in Italian, English, French or Spanish, carrying the original stamp or signature of an official translator
  • Optional: GRE General Test, for engineering and architecture applicants only, with no minimum score set, Politecnico code 0495
  • Optional: letter of recommendation from a current or former professor, containing the professor's institutional contacts
  • Optional: letter of motivation, maximum 2 pages per programme applied to
  • Optional: detailed study programmes or course descriptions, 4 MB maximum
  • All files in PDF, named without special characters or accents, and unchangeable once the application fee is paid

English, accepted proofs

  • IELTS
  • TOEFL
  • PTE Academic
  • Medium of Instruction letter

Only what this call names. A proof another degree at the same university accepts is not on this list unless this call says so too.

Before any of it counts

Start the legalisation chain first

A degree awarded outside Europe has to be attested and legalised before an Italian university reads it. That chain is decided by the country you apply from, and no office on it publishes a turnaround.

The chain, step by step, from Pakistan

The study plan

What you would actually study.

Transcribed from the university's published study plan, in its order and its wording.

1st Year7 modules
  • REAL AND FUNCTIONAL ANALYSIS8 CFU
  • ALGORITHMS AND PARALLEL COMPUTING10 CFU
  • Courses to be chosen from Group INGChoose from a list0 CFU
  • ADVANCED PARTIAL DIFFERENTIAL EQUATIONS8 CFU
  • NUMERICAL ANALYSIS FOR PARTIAL DIFFERENTIAL EQUATIONS10 CFU
  • Courses to be chosen from Group CSCLChoose from a list0 CFU
  • Courses to be chosen from Group MTMChoose from a list0 CFU
2nd Year10 modules
  • COMPUTATIONAL FLUID DYNAMICS [C.I.]10 CFU
  • FLUIDS LABSLab or workshop10 CFU
  • Courses to be chosen from Group MTMChoose from a list0 CFU
  • Courses to be chosen from Group POLIChoose from a list0 CFU
  • Courses to be chosen from Group INGChoose from a list0 CFU
  • Courses to be chosen from Group MTMChoose from a list0 CFU
  • Courses to be chosen from Group POLIChoose from a list0 CFU
  • Courses to be chosen from Group INGChoose from a list0 CFU
  • Courses to be chosen from Group MTMChoose from a list0 CFU
  • FINAL WORKThesis12 CFU
Courses of the Group CSCL2 modules
  • ADVANCED PROGRAMMING FOR SCIENTIFIC COMPUTINGChoose from a list10 CFU
  • MATHEMATICAL AND PHYSICAL MODELING IN ENGINEERING [C.I.]Choose from a list10 CFU
Courses of the Group ING26 modules
  • ARTIFICIAL NEURAL NETWORKS AND DEEP LEARNINGChoose from a list5 CFU
  • AUTOMATION AND CONTROL IN AUTONOMOUS VEHICLESChoose from a list5 CFU
  • DATA DRIVEN CONTROL SYSTEM DESIGNChoose from a list5 CFU
  • DATA MININGChoose from a list5 CFU
  • ELECTRON DEVICESChoose from a list10 CFU
  • ELECTRONICSChoose from a list10 CFU
  • FLUIDS LABSLab or workshop10 CFU
  • IMAGE ANALYSIS AND COMPUTER VISIONChoose from a list5 CFU
  • NETWORKED SOFTWARE FOR DISTRIBUTED SYSTEMSChoose from a list5 CFU
  • NONLINEAR CONTROLChoose from a list5 CFU
  • QUANTUM CIRCUITS AND DEVICESChoose from a list5 CFU
  • ROBUST CONTROLChoose from a list5 CFU
  • STREAMING DATA ANALYTICS GChoose from a list5 CFU
  • THERMODYNAMICS AND ENERGETIC PROCESSESChoose from a list10 CFU
  • COMPLEX SYSTEMS DYNAMICSChoose from a list10 CFU
  • BIOCHIPChoose from a list5 CFU
  • COMPUTATIONAL ELECTROMAGNETICSChoose from a list5 CFU
  • MACHINE LEARNINGChoose from a list5 CFU
  • MATHEMATICAL MODELS AND METHODS FOR IMAGE PROCESSINGChoose from a list5 CFU
  • MULTIMODAL INTERACTIVE TECHNOLOGIES AND APPLICATIONSChoose from a list5 CFU
  • NATURAL LANGUAGE PROCESSINGChoose from a list5 CFU
  • NUCLEAR TECHNIQUES FOR THE ANALYSIS OF MATERIALSChoose from a list5 CFU
  • ONLINE LEARNING APPLICATIONSChoose from a list5 CFU
  • QUANTUM COMPUTINGChoose from a list5 CFU
  • MODEL IDENTIFICATION AND DATA ANALYSISChoose from a list10 CFU
  • DEEP LEARNING AND MATHEMATICAL MODELS FOR IMAGE PROCESSINGChoose from a list8 CFU
Courses of the Group MTM38 modules
  • BAYESIAN STATISTICSChoose from a list8 CFU
  • COMPUTATIONAL FINANCEChoose from a list10 CFU
  • COMPUTATIONAL FINANCEChoose from a list8 CFU
  • COMPUTATIONAL STATISTICSChoose from a list8 CFU
  • DISCRETE MATHEMATICSChoose from a list5 CFU
  • DYNAMICAL SYSTEMS AND MATHEMATICAL CONTROL THEORYChoose from a list8 CFU
  • GAME THEORYChoose from a list8 CFU
  • MATHEMATICAL FINANCE IIChoose from a list10 CFU
  • MATHEMATICS OF QUANTUM MECHANICSChoose from a list5 CFU
  • NONPARAMETRIC STATISTICSChoose from a list8 CFU
  • NUMERICAL ANALYSIS FOR MACHINE LEARNINGChoose from a list10 CFU
  • NUMERICAL ANALYSIS FOR MACHINE LEARNINGChoose from a list8 CFU
  • NUMERICAL LINEAR ALGEBRAChoose from a list5 CFU
  • NUMERICAL METHODS FOR THE GEOSCIENCESChoose from a list8 CFU
  • STOCHASTIC DIFFERENTIAL EQUATIONSChoose from a list8 CFU
  • STOCHASTIC DYNAMICAL MODELSChoose from a list8 CFU
  • COMPUTATIONAL FLUID DYNAMICS [C.I.]Choose from a list8 CFU
  • ADVANCED NUMERICAL METHODS FOR COUPLED PROBLEMS WITH APPLICATION TO LIVING SYSTEMSChoose from a list8 CFU
  • ADVANCED PARTIAL DIFFERENTIAL EQUATIONSChoose from a list8 CFU
  • ADVANCED PROGRAMMING FOR SCIENTIFIC COMPUTINGChoose from a list10 CFU
  • ADVANCED PROGRAMMING FOR SCIENTIFIC COMPUTINGChoose from a list8 CFU
  • APPLIED STATISTICSChoose from a list8 CFU
  • APPLIED STATISTICSChoose from a list10 CFU
  • BIOMATHEMATICAL MODELINGChoose from a list8 CFU
  • COMPUTATIONAL MODELING IN ELECTRONICS AND BIOMATHEMATICSChoose from a list8 CFU
  • FINANCIAL ENGINEERINGChoose from a list8 CFU
  • FINTECHChoose from a list8 CFU
  • GROUP THEORYChoose from a list5 CFU
  • INSURANCE & ECONOMETRICSChoose from a list10 CFU
  • INSURANCE & ECONOMETRICSChoose from a list8 CFU
  • METHODS AND MODELS FOR STATISTICAL MECHANICSChoose from a list8 CFU
  • MODEL ORDER REDUCTION TECHNIQUESChoose from a list5 CFU
  • OPERATOR THEORYChoose from a list5 CFU
  • OPTIMIZATIONChoose from a list8 CFU
  • REACTION-DIFFUSION EQUATIONSChoose from a list8 CFU
  • SCIENTIFIC COMPUTING TOOLS FOR ADVANCED MATHEMATICAL MODELLINGChoose from a list8 CFU
  • TOPOLOGIA COMPUTAZIONALE PER IL MACHINE LEARNINGChoose from a list8 CFU
  • MATHEMATICAL AND PHYSICAL MODELING IN ENGINEERING [C.I.]Choose from a list10 CFU
Courses of the Group POLI47 modules
  • ADVANCED COMPUTATIONAL MECHANICSChoose from a list6 CFU
  • ARCHEO ASTRONOMYChoose from a list4 CFU
  • ENGINEERING SEISMOLOGYChoose from a list10 CFU
  • FINANCIAL MARKETS AND INSTITUTIONSChoose from a list5 CFU
  • GEOPHYSICAL DATA PROCESSINGChoose from a list8 CFU
  • PHILOSOPHY OF SCIENCE AND TECHNOLOGYChoose from a list5 CFU
  • PHILOSOPHY OF SCIENCE AND TECHNOLOGYChoose from a list5 CFU
  • PLASMA PHYSICSChoose from a list8 CFU
  • SIGNAL PROCESSING AND LEARNINGChoose from a list10 CFU
  • COMPUTATIONAL MECHANICS FOR GEOMATERIALSChoose from a list8 CFU
  • CREATIVITY, SCIENCE AND INNOVATIONChoose from a list5 CFU
  • AI AND SOCIETYChoose from a list5 CFU
  • ALGORITHMIC GAME THEORYChoose from a list6 CFU
  • BIOMEDICAL TECHNOLOGIES: PHILOSOPHICAL AND ETHICAL ISSUESChoose from a list3 CFU
  • BIOMEDICAL TECHNOLOGIES: PHILOSOPHICAL AND ETHICAL ISSUESChoose from a list5 CFU
  • COMMUNICATION AND ARGUMENTATIONChoose from a list3 CFU
  • COMMUNICATION AND ARGUMENTATIONChoose from a list5 CFU
  • COMPUTATIONAL BIOLOGY OF THE HEARTChoose from a list5 CFU
  • COMPUTATIONAL ELECTROMAGNETICSChoose from a list5 CFU
  • COMPUTATIONAL MODELING IN ELECTRONICS AND BIOMATHEMATICSChoose from a list8 CFU
  • COMPUTER VISION AND REVERSE ENGINEERINGChoose from a list6 CFU
  • CRITICAL THINKINGChoose from a list3 CFU
  • CRITICAL THINKINGChoose from a list5 CFU
  • DATA GOVERNANCE AND ETHICSChoose from a list5 CFU
  • DESIGN AND ANALYSIS OF EXPERIMENTS AChoose from a list8 CFU
  • DESIGN AND ANALYSIS OF EXPERIMENTS BChoose from a list10 CFU
  • EMERGING TECHNOLOGIES AND SOCIETAL CHALLENGESChoose from a list5 CFU
  • EMERGING TECHNOLOGIES AND SOCIETAL CHALLENGESChoose from a list3 CFU
  • ENERGY AND CLIMATE CHANGE MODELING AND SCENARIOSChoose from a list8 CFU
  • ETHICS OF CLIMATE CHANGEChoose from a list5 CFU
  • QUANTUM PHYSICSChoose from a list8 CFU
  • FRACTURE MECHANICSChoose from a list6 CFU
  • GRAPH OPTIMIZATIONChoose from a list5 CFU
  • GROUNDWATER HYDRAULICSChoose from a list8 CFU
  • INFORMATION THEORYChoose from a list5 CFU
  • MOLECULAR MODELING OF MATERIALSChoose from a list5 CFU
  • NUMERICAL ANALYSIS FOR PARTIAL DIFFERENTIAL EQUATIONSChoose from a list10 CFU
  • OPTIMIZATIONChoose from a list8 CFU
  • PERSONALITÀ, TEAM BUILDING, LEADERSHIPChoose from a list3 CFU
  • PERSONALITÀ, TEAM BUILDING, LEADERSHIPChoose from a list5 CFU
  • QUALITY DATA ANALYSIS AChoose from a list10 CFU
  • QUALITY DATA ANALYSIS BChoose from a list5 CFU
  • QUANTUM COMMUNICATIONSChoose from a list5 CFU
  • RELIABILITY ENGINEERING AND QUANTITATIVE RISK ANALYSIS A+BChoose from a list10 CFU
  • STATISTICAL LEARNING FOR HEALTHCARE DATAChoose from a list5 CFU
  • STATISTICAL PHYSICS OF COMPLEX SYSTEMSChoose from a list5 CFU
  • DATA AND ALGORITHMIC FAIRNESSChoose from a list5 CFU

0 CFU for the whole degree, as the plan states it. 130 modules are listed here.

The university’s own study plan, read

CFU is the Italian name for an ECTS credit. One is the same as the other, so 120 CFU is 120 ECTS.

Funding this programme lists

5 routes this call names.

Each has its own page with the amount, the ceilings and the state of its call today.

2 more routes this call names

Every funding route in Italy

The degree

About this degree.

A two year Master's degree for students with a solid scientific background who want to specialise in the use of mathematics to address complex real world problems, through advanced models, numerical simulation and quantitative tools. It suits graduates aiming at roles in technology driven companies, banks and insurance firms, consulting, research centres or academia.

The Master's degree in Mathematical Engineering is designed for students with a solid scientific background who wish to further deepen and specialise in the use of mathematics to address complex real world problems. The programme develops engineers capable of integrating theory, computational methods and practical applications, using mathematics to build models of complex systems, analyse data, create algorithms and support decisions.

The university's full description

The page describes the graduate as someone who can translate complex real world problems into advanced mathematical models and use them to design effective and innovative solutions.

The programme is organised around four specialisation tracks: Computational Science and Computational Learning, Statistical Learning, Quantitative Finance, and Quantum Engineering. Students strengthen programming, modelling and logical reasoning alongside the mathematics.

It runs over two years in English on the Milano Leonardo campus. Admission is open to students holding a Bachelor's degree or an equivalent university qualification with an adequate background in the fundamental and core subject areas. Applicants with an international qualification equivalent to a Bachelor's degree are examined by a Committee, which assesses academic preparation and the fulfilment of coursework prerequisites. Full details are in Section 6 of the Programme Educational Regulations.

Where it leads

As the university states it on its own page. Not a placement rate and not a promise.

  • Technology driven and industrial companies
  • Banks and insurance firms
  • Consulting companies
  • Public and private research centres
  • Academic research

One programme, one university, once a year.

That is what Universitaly allows. Three questions tell you where you stand before you spend that choice: the degree level, what the visa wants in the bank, and how much calendar is left.

Universitaly (MUR)checked

The shortlist is a conversation

An advisor reads your documents against what this call asks for and tells you whether the file will clear, and if it will not, what to fix.

Tuition a year€3,943.04

Check Pakistan eligibility