FORK 1014 Preparatory Course in Mathematics for Data Science
FORK 1014 Preparatory Course in Mathematics for Data Science
This course provides a recap of the required background ideas and tools from probability and linear algebra which will be used during various courses in the MSc Data Science for Business.
By the end of the course, the student:
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Will have knowledge of elementary probability theory and linear algebra in n-dimensional Euclidean space.
By the end of the course, the student:
- Can perform common operations involving vectors and matrices (e.g. transpose, inverse, matrix multiplication, solving linear systems).
- Can perform common operations involving random variables and vectors (e.g. calculating probabilities of events, calculating [conditional] expectations).
- Can apply their knowledge of techniques from probability and linear algebra to solve problems in data science.
By the end of the course, the student:
Will be comfortable using basic tools and manipulating objects from probability and linear algebra.
Linear Algebra:
- Euclidean space
- Span, linear independence and bases
- Matrices and linear transformations
- Positive (semi-) definite matrices
- Vector subspaces, inner products and orthogonal projections
- Eigenvalues and Eigenvectors
Probability:
- Probability foundations
- Random variables and their distributions
- Expectations
- Conditioning & independence
- Limit theorems
The learning activities will be 100% lectures, with no asychronous hours. Students are expected to prepare for the lectures by reading assigned materials and participate actively in the discussion of the lecture topics.
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All courses in the Masters programme will assume that students have fulfilled the admission requirements for the programme. In addition, courses in second, third and/or fourth semester can have specific prerequisites and will assume that students have followed normal study progression. For double degree and exchange students, please note that equivalent courses are accepted.
Calculus & ideally some prior exposure to probability and linear algebra.
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