### ECON-E6000 - Math Camp, Lecture, 22.8.2022-2.9.2022

Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

#### LEARNING OUTCOMES

This course is an introduction to the mathematical concepts needed to read and produce economics research. The aim is to develop the basic methodological skills required to analyze and apply economic theory and econometric techniques to the problems they will study throughout the program. The key topics covered include:

• Analysis
• Constrained and Unconstrained Optimization
• Probability

Credits: 3

Schedule:

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Daniel Hauser

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

#### CONTENT, ASSESSMENT AND WORKLOAD

##### Content
• valid for whole curriculum period:

• Analysis: Implicit function theorem, convex/concave functions, fixed point theory, separating hyperplanes, envelope theorem
• Optimization: Unconstrained optimization (1st+2nd order conditions), Con-strained Optimization (Lagrange Multiplies, Karush Kuhn Tucker Conditions), Berge's Maximum Theorem
• Probability: basic concepts (moments, independence, conditional probabil-ity), law of large numbers, central limit theorem, frequentist inference

##### Assessment Methods and Criteria
• valid for whole curriculum period:

100% Exam

• valid for whole curriculum period:

- Contact Teaching 24h
- Exercise sessions: 8h
- Exam 2h
- Independent work 47h

#### DETAILS

##### Substitutes for Courses
• valid for whole curriculum period:

##### Prerequisites
• valid for whole curriculum period:

#### FURTHER INFORMATION

##### Further Information
• valid for whole curriculum period:

Teaching Language : English

Teaching Period : 2022-2023 Autumn I
2023-2024 Autumn I