Brush-Up Course for Mathematics and R

The University of Ulm offers a brush-up course for mathematics and R, specifically designed for students enrolled in the Master's program in Economics. The course is held over four days and aims to review essential mathematical foundations and introduce the programming language R.

Course Content

The brush-up course in mathematics covers the following topics:

• Day 1: Simple differential calculus (rules of differentiation, product rule, chain rule) and integral calculus
• Day 2: Multidimensional differential calculus (partial derivatives, extreme values, optimization under constraints/Lagrange)
• Day 3: Probability theory, basics of statistics (density function, distribution function, expected value)
• Day 4: Application of mathematics in economics: consumer theory, expected utility, security equivalent, risk premium, profit maximization, and markets (perfect competition, monopoly, oligopoly)

The brush-up course in R includes:

• Data visualization with ggplot2
• Data preparation with dplyr
• Linear regression

Course Details

The course is designed for students who need to refresh their mathematical skills and learn the basics of R. Students are required to bring their laptops to install and learn R and the tidyverse in an interactive setting.

The brush-up course takes place from October 11, 2022, to October 14, 2022.

Program Structure

The program is structured to provide students with a comprehensive review of mathematical concepts and an introduction to the R programming language. The course is taught over four days, with each day focusing on specific topics in mathematics and R.

Target Audience

The brush-up course is designed for students enrolled in the Master's program in Economics at the University of Ulm. The course is particularly suited for students who need to review mathematical concepts and learn the basics of R.

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Overview:

University of Ulm is a public research university located in Ulm, Germany. It is known for its strong focus on research, study, and knowledge transfer. The university boasts a diverse range of academic programs and a commitment to international collaboration.

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Services Offered:

The university offers a comprehensive range of services to support students, including:

Student advisory services:

Providing guidance on academic matters, career planning, and personal development.

Psychosocial Counselling:

Offering support for students facing mental health challenges.

Events for prospective and current students:

Organizing events to inform and engage students.

Application and enrolment services:

Assisting students with the application and enrollment process.

Exam administration:

Managing exam procedures and recognition of achievements.

Continuing education programs:

Providing opportunities for professional development.

International Office:

Supporting international students and fostering global partnerships.

Centre for Educational Development:

Promoting excellence in teaching and learning.

School of humanities:

Offering programs in the humanities and social sciences.

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Student Life and Campus Experience:

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Key Reasons to Study There:

Strong research focus:

The university is renowned for its research excellence, particularly in areas like medicine, engineering, and natural sciences.

International environment:

Ulm University actively promotes international collaboration and welcomes students from around the world.

Modern facilities:

The university provides students with access to state-of-the-art facilities and resources.

Dedicated faculty:

The university boasts a highly qualified and dedicated faculty committed to student success.

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Academic Programs:

University of Ulm offers a wide range of academic programs across various disciplines, including:

Engineering, Computer Science and Psychology:

The faculty offers programs in engineering, computer science, and psychology.

Mathematics and Economics:

The faculty offers programs in mathematics and economics.

Medicine:

The medical faculty offers programs in medicine and related fields.

Natural Sciences:

The faculty of natural sciences offers programs in various scientific disciplines.

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Other:

• The university is recognized for its commitment to family-friendly policies and has received the "audit family-friendly university" certificate.
• Ulm University has been ranked among the top universities in Germany by StudyCheck.
• The university is a member of the "Universities for openness, tolerance and against xenophobia" initiative.