Bridging courses are intensive courses you can take before starting your studies. They are voluntary and do not carry any credit-point value towards your degree. Bridging courses are designed for students who may not meet the assumed knowledge requirements and want to bridge the gap between school and university studies. If you are interested in one or more of the courses on offer, please register by using our online form.

You will receive all access data and further information by e-mail after registration.

Bridging courses between September 6-10, 2021

Expected to start in February/March 2022

Course contents

Mathematik (German)

• Elementare Rechenmethoden (inkl. Summen- und Produktzeichen, Potenzen und Logarithmen)
• Lineare Gleichungssysteme
• Folgen und Reihen, Grenzwertbegriff
• Grundlagen der Differentialrechnung (Funktionen und ihre Ableitungen)
• Einführung in die Lineare Algebra (Vektoren, Matrizen)
• Grundlagen der Wahrscheinlichkeitsrechnung (Kombinatorik, Häufigkeiten)
• Einführung in die deskriptive Statistik

Je nach Kurszusammensetzung können sich Schwerpunkte auch verschieben.

Mathematics (English)

• sequences and series, limit value concept
• basics of differential calculus (functions, and their derivatives)
• integrals
• introduction to linear algebra (vectors, matrices, systems of linear equations)
• basics of probability calculation
• introduction to descriptive statistics

Statistik (German)

• Teil I: Deskriptives, Lagemaße und Streuung: Mittelwert, Standardabweichung, Ausreißer, Boxplot und Punktdiagramm, Normalverteilung, Schiefe, Kurtosis.
• Teil II: LaPlace-Wahrscheinlichkeiten, Münzwürfe, P-Wert, Urnenmodelle, Parameterschätzung, Konfidenzintervall, Signifikanzniveau, Alpha und Beta Fehler.
• Teil III: Statistische Tests, Anpassungsgüte, Optimierungsverfahren, Funktionsweise Chi-Square und Student T-Test (H0/H1 Test).
• Mini-Aufgabe Chi-Square Goodness of Fit am Beispiel einer Tüte M&M (idealerweise jeder Studierende eine eigene Tüte) Als kleine Casestudy: Problem des Handlungsreisenden.

Statistics (English)

• Descriptive statistics and relationship between variables (mean, median, quantiles, (co)variance, correlation)
• Probability and set theory (random variables, Laplace, urn problem, conditional probability, Bayes' theorem)
• Distributions and graphical representations (discrete/continuous distributions, probability density function, cumulative density function)
• Estimations and hyptheses (point and interval estimations, confidence-intervals)
• Statistical tests and outlook (t-, chi-square-tests)

Physics (English)

• Physical quantities
• The power of  10
• Dimensions and units, calculating with units
• Significant figures
• Derivatives and Antiderivatives
• 1D Motion
• Vectors
• 3D Motion
• Dealing with systems of equations
• Trigonometry
• Complex numbers

Chemistry (English)

What is chemistry? Chemistry is the science of matter and its interactions. It also examines the energy that is released or consumed in these interactions.

But what is matter? You probably know that matter can be gaseous, liquid or solid. But what are the components of matter - the atoms - and how can they be described? What is an element and how can elements react and form compounds? What happens when different compounds are mixed? This and much more will be discussed. After completing the course, you will be able to provide answers to these questions and be well prepared to learn more about Chemistry in the Environment and Energy degree programme.