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1. For the module "**Quantitative Methods**" the following knowledge of high school mathematics is required and has to be solid:

- Concept of spaces / number systems (e.g.,natural, rational and real numbers)
- Basic Functions: Linear, polynomial, exponential, logarithmic function
- Differential Calculus: Extreme values, derivatives, integrals
- Linear Algebra: Vectors, vector spaces, linear transformations, matrices, dot (scalar) product
- Probability Theory: Random variables, probability distributions (uniform, binomial, normal, exponential), joint and marginal distributions

**It is recommended that you are adequately prepared for this module. **

__Note for German speaking students__: The Institute of Mathematics offers a "Vorkurs Mathematik für Natur- und Sozialwissenschaften" (in German) starting mid-August. For students who need to refresh their high school mathematics knowledge, this pre-course is highly recommended.

For more information, click here.

2. In the course **"Programming for Linguists"** (part of the module **"Language Data Processing"**) Python is taught as programming language. Although it is taught from scratch, absolute beginners may want to prepare themselves by doing a Python tutorial. We recommend the following Python tutorial (chapters 1-12): Python for Everybody (PY4E)