Curriculum structure:
Subject type |
ECTS |
(Complementary |
60) |
Optional |
42 |
Master’s Thesis |
18 |
Total |
60 |
The master's degree is organized in two courses, M1 and M2. The M1 level is a module of complementary training that is determined individually according to the student's previous training. Graduates in Mathematics or equivalent international degrees are not required to take this module. The two specialties are taken at the M2 level.
Curriculum:
CODE |
SUBJECT |
SEMESTER |
TYPE |
ECTS |
MODULE |
30065 |
PARTIAL DIFFERENTIAL EQUATIONS IN SCIENCE AND ENGINEERING |
1 |
Optional |
8 |
M2/Common |
30066 |
STOCHASTIC PROCESSES |
1 |
Optional |
8 |
M2/Common |
30067 |
FOUNDATIONS OF MATHEMATICAL ANALYSIS |
1 |
Optional |
8 |
M2/Common |
30068 |
NUMERICAL METHODS |
1 |
Optional |
8 |
M2/Common |
30069 |
ALGEBRAIC CURVES |
1 |
Optional |
8 |
M2/Common |
30070 |
DIFFERENTIAL GEOMETRY |
1 |
Optional |
8 |
M2/Common |
32928 |
ADVANCED COURSE IN ALGEBRA |
2 |
Optional |
6 |
M2/Esp.Spec. in Initiation to Research |
32929 |
ADVANCED COURSE IN GEOMETRY |
2 |
Optional |
6 |
M2/Esp.Spec. in Initiation to Research |
32930 |
ADVANCED COURSE IN ANALYSIS |
2 |
Optional |
6 |
M2/Esp.Spec. in Initiation to Research |
32931 |
ADVANCED COURSE IN PARTIAL DIFFERENTIAL EQUATIONS |
2 |
Optional |
6 |
M2/Esp.Spec. in Initiation to Research |
32932 |
ADVANCED COURSE IN STATISTICS |
2 |
Optional |
6 |
M2/Esp.Spec. in Initiation to Research |
32933 |
ADVANCED RESEARCH SEMINAR |
2 |
Optional |
6 |
M2/Esp.Spec. in Initiation to Research |
32934 |
CRYPTOGRAPHY |
2 |
Optional |
6 |
M2/Spec. in Applications of Mathematics |
32938 |
CONTINUOUS TIME FINANCE |
2 |
Optional
|
6 |
M2/Spec. in Applications of Mathematics |
32936 |
WAVELETS AND SIGNAL TREATMENT |
2 |
Optional |
6 |
M2/Spec. in Applications of Mathematics |
32939 |
ADVANCED APPLIED SEMINAR |
2 |
Optional |
6 |
M2/Spec. in Applications of Mathematics |
32940 |
MASTER’S THESIS |
2 |
TFM |
18 |
Common |
Programs and Teaching Guides for Subjects
Curriculum information
The master's program is organized into two courses, M1 and M2, the latter with two specializations: Initiation to Research and Applications of Mathematics, respectively.
To obtain each specialization, the student must complete a minimum of 12 credits in specialization-related courses. They can either take a third course in the same specialization or complement the 18 credits with a course from the other specialization. In any case, the Master's Thesis (18 credits) should align with the chosen specialization.
Module M1: Complementary Training (60 credits)
The M1 level consists of a module of complementary training individually determined based on the student's previous education. Graduates in Mathematics or equivalent international degrees do not need to take this module. Other students will take courses determined individually based on their previous education.
At the M2 level, the two specializations of the Master's in Mathematics and Applications share a common module in the first semester, followed by a specialization module in the second semester according to the desired specialization:
Module M2.1: Common to both specializations (24 credits)
Designed to provide advanced training in various areas of mathematics. In this module, students must take three 8-credit courses.
Module M2.2-In: Specialization in Initiation to Research (18 credits)
Primarily for students intending to pursue a doctorate in fundamental mathematics. In this module, students must take three 6-credit courses.
Among the three courses to be taken in this specialization, students can also choose a maximum of one course from the Applications of Mathematics module (M2.1-AM).
Module M2.2-AM: Specialization in Applications of Mathematics (18 credits)
Designed for students who wish to deepen their understanding and initiate research in the use of mathematics in industry, technology, finance, or other fields of application. In this module, students must choose three 6-credit courses.
Among the three courses to be taken in this specialization, students can also choose a maximum of one course from the Initiation to Research module (M2.2-In).
Notice
In accordance with the agreements by UAM’s Postgraduate Studies Committee, any optional subjects on which less than five students are registered, may not go ahead. The students affected by this situation will be informed accordingly so that they can register on other subjects.
The choice of optional subjects may vary slightly before the start of the classes due to adjustments to the Master's Degree teaching schedule, in which case students will be informed accordingly.
If the minimum number of applications are not made before the end of the first deadline, some of the specialties may not be held. This will be duly informed before the second admissions deadline.