# Recommended Study Path

Students admitted to the Bachelor's Programme in Mathematics before the autumn semester of 2019 are referred to the previously recommended course of study.

Students admitted to the Bachelor's Programme in Mathematics from 2020 are recommended to study according to the study path below.

## Year 1 - compulsory courses

The first year of the programme consists of the following compulsory courses in mathematics and computational programming, comprising 60 credits:

### Autumn semester

Course | Study pace / Semester period |
---|---|

MATA21 Analysis in One Variable, 15 credits | half pace, whole semester |

MATA22 Linear Algebra 1, 7.5 credits | half pace, first half |

NUMA01 Computational Programming with Python, 7.5 credits | half pace, second half |

### Spring semester

Course | Study pace / Semester period |
---|---|

MATB21 Analysis in Several Variables 1, 7.5 credits | half pace, first half |

MATB22 Linear Algebra 2, 7.5 credits | half pace, first half |

MATB23 Analysis in Several Variables 2, 7.5 credits | half pace, second half |

MATA23 Foundations of Algebra, 7.5 credits | half pace, second half |

## Year 2 - alternative compulsory and optional courses

The last compulsory course in the program is MASA02 Mathematical Statistics, Basic Course, 15 credits. The course is given at half-pace each autumn semester and can be read in parallel with a couple of other alternative compulsory courses within the programme. After the compulsory courses have been completed, a number of study paths are opened within the mathematical disciplines. Courses in pure and applied mathematics, mathematical statistics and numerical analysis are available.

According to the course requirements for a Bachelor's degree, students should read at least 30 credits additional (alternative compulsory) courses within the mathematical disciplines. Additionally they should read at least 30 credits, and at most 60 credits, optional courses in other subjects.

The list of alternative compulsory courses is specified within the course requirements for a Bachelor's degree in mathematics. The courses offered in this category comprise more than 30 credits, so students have the opportunity to either focus on a certain area or broaden their knowledge in the mathematical disciplines.

We strongly advise students to read at least one course in mathematical statistics and one course in numerical analysis before focusing on one particular discipline. We also recommend that students read more courses than the minimum requirement of 30 credits in the mathematical disciplines.

### Autumn semester

Course | Study pace / Semester period |
---|---|

MASA02 Mathematical Statistics, Basic Course, 15 credits | half pace, whole semester |

MATB24 Linear Analysis, 7.5 credits | half pace, first half |

MATB25 Discrete Mathematics, 7.5 credits | half pace, second half |

### Spring semester

During the second spring semester of the programme it is advisable to choose courses in other subjects. Students can either choose courses comprising the entire 30 credits in another subject, or can combine some optional courses with courses in the mathematical disciplines.

The following courses relevant to this level are given during the spring semester:

Course | Study pace / Semester period |
---|---|

MATM31 Algebraic Structures, 7.5 credits | half pace, first half |

MASC01 Probability Theory, 7.5 credits | half pace, first half |

MASC02 Statistical Inference Theory, 7.5 credits | half pace, second half, every other year |

NUMA41 Numerical Analysis, Basic Course, 7.5 credits | half pace, second half |

## Year 3 - optional courses, Bachelor's thesis

In the third year of the programme, students have the opportunity to choose a specialisation in any of the mathematical disciplines below. The courses should be chosen to ensure that both the requirements regarding the alternative-compulsory/optional courses for a Bachelor's degree and the specific course requirements for the Bachelor´s thesis in mathematics, statistics or numerical analysis, are met. The Bachelor´s thesis is usually done at half pace during the last semester. It has the following course codes depending on the chosen specialisation:

Below is a list of relevant courses offered during the third year of the programme.

### Autumn semester

Course | Study pace / Semester period |
---|---|

MATM12 Analytic Functions, 15 credits | half pace, whole semester |

MATC12 Ordinary Differential Equations 1, 7.5 credits | half pace, second half |

MATM33 Differential Geometry, 7.5 credits | half pace, first half |

MATM15 Number Theoryhttp://www.ctr.maths.lu.se/course/MATM35/, 7.5 credits | half pace, second half |

MASC03 Markov Processes, 7.5 credits | half pace, first half |

MASC04 Stationary Stochastic Processes, 7.5 credits | half pace, first half |

NUMB11 Numerical Linear Algebrahttp://www.ctr.maths.lu.se/course/NUMB11/, 7.5 credits | half pace, first half |

### Spring semester

Course | Study pace / Semester period |
---|---|

MATM31 Algebraic Structures, 7.5 credits | half pace, first half |

MASC05 Design of Experiments, 7.5 credits | half pace, first half |

NUMN19 Numerical Approximation, 7.5 credits | half pace, second half |