Domain Specific Languages of Mathematics
About
The course will present classical mathematical topics from a computing science perspective: giving specifications of the concepts introduced, paying attention to syntax and types, and ultimately constructing DSLs of some mathematical areas mentioned below.
The lecture topics are:
- Introduction to functional programming and calculational proofs
- Introduction to Domain Specific Languages (DSLs): case study linear algebra
- DSLs and mathematics: case study category theory
- Real analysis: mean value theorems, Taylor formulas
- Real analysis: a DSL for power series
- More linear algebra: eigenvalues and optimization
Prerequisites and selection
Entry requirements
The student should have successfully completed:
- 7\.5 hec in discrete mathematics, for example DIT980 Introductory Discrete Mathematics for Computer Scientists
- 15 hec in mathematics, for example MMGD20 Linear Algebra D and MMGD30 Calculus D
- 15 hec in computer science, for example DIT440 Introduction to Functional Programming or MVG300 Programming with Matlab and DIT012 Imperative Programming with Basic Object-orientation
Additional 22.5 hec of any mathematics or computer science courses.
