Courses Bachelor Display 2021-2022
|Course Description||To PDF|
|Course title||Mathematical Analysis|
Stan van Hoesel, Andrés Perea y Monsuwé
For more information: firstname.lastname@example.org; email@example.com
|Language of instruction||English|
* Students provide proof of the ability to use mathematical tools to build and develop mathematical models.
* Students provide proof of the ability to use mathematical tools to solve models.
This course offers a wide range of interesting calculus and linear algebra techniques, which are almost indispensable for Big Data applications. The topics discussed in the first part of the course include, among others, limits, continuity, differentiation and specific functions derivatives, partial derivatives, gradients and series. In the second part of this course, students will be introduced to concepts of linear algebra from an algebraic and geometric point of view. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, linear transformations, vector spaces, matrix arithmetic, determinants and eigenvalues. You will also learn some applications like the idea behind Google PageRank and its connection with eigenvalues, and you can also apply similar techniques for ranking sport teams or universities. The subject areas covered in this course are fundamental for the mathematical aspect of data science and for most branches of mathematics and engineering sciences. Both the intuition behind the concepts and their formal definitions will be presented along with simple examples of formal mathematical proofs.
|Teaching methods (indicative; course manual is definitive)||PBL / Lecture|
|Assessment methods (indicative; course manual is definitive)||Written Exam|
|Evaluation in previous academic year||For the complete evaluation of this course please click "here"|
|This course belongs to the following programmes / specialisations||