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Mathematics: Algebra and Vector Geometry

Course · 7.5 credits

Description

The overarching goal of the course is that the students acquire a deeper understanding of the foundations of algebra as well as knowledge of vector geometry and the foundations of linear algebra. Particular emphasis is put on developing the mathematical theory in a systematic manner contributing to the further aims of enhancing the students' ability to assimilate mathematical text, to carry out mathematical reasoning, to solve problems of both theoretical and applied character, and to communicate mathematics.

The course treats:

  • Elementary logic and set theory
  • Basic properties of the natural numbers and the integers: induction, divisibility, Euclid’s algorithm
  • Basic properties of polynomials: divisibility, Euclid’s algorithm
  • Complex numbers
  • Linear systems of equations, Gaussian elimination
  • Vectors in two and three dimensions, bases and coordinates, linear dependence, equations of lines and planes
  • Scalar product, calculation of distances and angles
  • Vector and volume product, calculation of area and volume
  • Matrices, determinants, matrix invertibility.

In addition, material on the axiomatic structure of the real numbers as well as the binomial theorem is treated during lectures taught jointly with the course Analysis in One Variable.

Closed for applications

Application opportunities

Contact

Director of Studies

Anna-Maria Persson

Phone: +46 46 222 85 39

Email: Anna-Maria [dot] Persson [at] math [dot] lu [dot] se

Requirements and selection

Entry requirements

General requirements and studies equivalent of course Mathematics 4/D from Swedish Upper Secondary School.

Selection criteria

Seats are allocated according to the following: The general average (GPA) of your higher secondary school leaving certificate: 34 %, The Swedish national university aptitude test: 34 %, number of previous ECTS at application deadline (up to 165): 32 %. If students have equal credentials, seats are allocated based on their results on The Swedish National University Aptitude Test. If this too is equal, seats are allocated based on a draw.

English language requirements

Most of Lund University’s programmes require English Level 6 (unless otherwise stated under 'Entry requirements'). This is the equivalent of an overall IELTS score of 6.5 or a TOEFL score of 90. There are several ways to prove your English language proficiency – check which proof is accepted at the University Admissions in Sweden website. All students must prove they meet English language requirements by the deadline, in order to be considered for admission.

How to prove your English proficiency – universityadmissions.se

Country-specific requirements

Check if there are any country-specific eligibility rules for you to study Bachelor's or Master's studies in Sweden:

Country-specific requirements for Bachelor's studies – universityadmissions.se

Country-specific requirements for Master's studies – universityadmissions.se

Apply

Start Autumn Semester 2024

Day-time Lund, part time 25%

In English

Study period

2 September 2024 - 19 January 2025

Application

You can only apply for this course in the 'Swedish student' application round. Find out more: Applying for studies – when to apply

Day-time Lund, part time 25%

In English

Study period

2 September 2024 - 19 January 2025

Application

You can only apply for this course in the 'Swedish student' application round. Find out more: Applying for studies – when to apply

How to apply

Lund University uses a national application system run by University Admissions in Sweden. It is only possible to apply during the application periods.

When to apply for studies

Step 1: Apply online

  • Check that you meet the entry requirements of the programme or course you are interested in (refer to the section above on this webpage).
  • Start your application – go to the University Admissions in Sweden website where you create an account and select programmes/courses during the application period.
    Visit the University Admissions in Sweden website
  • Rank your programme/course choices in order of preference and submit them before the application deadline.

Step 2: Submit documents

  • Read about how to document your eligibility and how to submit your documents at the University Admissions in Sweden website. Follow any country-specific document rules for Master's studies or Bachelor's studies
    Country-specific requirements for Bachelor's studies – universityadmissions.se
    Country-specific requirements for Master's studies – universityadmissions.se
     
  • Get all your documents ready:
    - official transcripts and high school diploma (Bachelor's applicants)
    - official transcripts and degree certificate or proof that you are in the final year of your Bachelor's (Master's applicants)
    - passport/ID (all applicants) and
    - proof of English proficiency (all applicants).
     
  • Prepare programme-specific documents if stated in the next paragraph on this webpage.
  • Upload or send all required documents to University Admissions before the document deadline.
  • Pay the application fee (if applicable – refer to the section below on this webpage) before the document deadline.

* Note that the process is different if you are applying as an exchange student or as a part of a cooperation programme (such as Erasmus+).
* If you have studied your entire Bachelor's programme in Sweden and all of your academic credits are in Ladok, you do not have to submit transcripts or your diploma when applying for a Master's programme. However, there may still be other documents you need to submit! See the link below. 
Svensk student? 
Läs instruktionerna om att söka till ett internationellt masterprogram på lu.se

Tuition fees

Non-EU/EEA citizens

Full programme/course tuition fee: SEK 21 250

First payment: SEK 21 250

Convert currency – xe.com

Citizens of a country outside of the European Union (EU), the European Economic Area (EEA) and Switzerland are required to pay tuition fees. You pay one instalment of the tuition fee in advance of each semester.

Tuition fees, payments and exemptions

EU/EEA citizens and Switzerland

There are no tuition fees for citizens of the European Union (EU), the European Economic Area (EEA) and Switzerland.

Application fee

If you are required to pay tuition fees, you are generally also required to pay an application fee of SEK 900 when you apply at the University Admissions in Sweden website. You pay one application fee regardless of how many programmes or courses you apply to.


*Note that there are no tuition or application fees for exchange students or doctoral/PhD students, regardless of their nationality.

Scholarships & funding

Lund University Global Scholarship programme

The Lund University Global Scholarship programme is a merit-based and selective scholarship targeted at top academic students from countries outside the EU/EEA.

Lund University Global Scholarship

Within the framework of the Lund University Global Scholarship programme, the University also offers the African Research Universities Alliance (ARUA) Scholarship targeted at top academic students from selected African research universities.

ARUA Scholarship

Swedish Institute Scholarships

The Swedish Institute offers scholarships to international students applying for studies in Sweden at Master's level.

Scholarship information on the Swedish Institute website

Country-specific scholarships and funding options

Lund University has agreements with scholarship organisations and funding bodies in different countries, which may allow applicants to apply for funding or scholarships in their home countries for their studies at Lund University.

Country-specific scholarships

External scholarships

Information about scholarships from external organisations