نظرة عامة على البرنامج

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Institute for Algebra and Number Theory

The Institute for Algebra and Number Theory is a research and educational institution that focuses on the study of algebra and number theory. The institute is composed of several research groups and offers a range of courses and programs for students.

Research Areas

The institute's research areas include:

• Algebra and Number Theory
• Software
• Oberseminar Algebra and Number Theory

Faculty Members

The institute has a team of experienced faculty members, including:

• Prof. Dr. Irene Bouw
• Prof. Dr. em. Werner LŁtkebohmert
• Seniorprofessor Dr. Helmut Maier
• Prof. Dr. Jeroen Sijsling
• Prof. Dr. Stefan Wewers

Courses and Programs

The institute offers a range of courses and programs, including:

• Bachelor of Science in Mathematics
• Master of Education in Mathematics
• Master of Science in Mathematics
• Lineare Algebra I (Linear Algebra I)
• Algebraische Zahlentheorie (Algebraic Number Theory)
• Elemente der Algebra (Elements of Algebra)
• Grundlagen der Mathematik (Foundations of Mathematics)

Lineare Algebra I (Linear Algebra I)

Target Group and Exam Relevance

The course Lineare Algebra I is a mandatory course for students in the Bachelor's program in Mathematics and is also relevant for the orientation exam.

Learning Objectives

The course provides an introduction to the theory of linear algebra, which has many applications in analysis, algebra, optimization, differential equations, and numerics. Students will learn the most important concepts of linear algebra, such as linear equations, vector spaces, bases, and diagonalization.

Lecture

The lecture will cover the topics of linear algebra and provide explanations and examples. Students are expected to read the material on Moodle before the lecture to deepen their understanding.

Exam

There will be a written exam at the end of the course. To be admitted to the exam, students must have achieved 50% of the exercise points. Participation in the second exam is also possible without participating in the first exam.

Literature

• Fischer, G.: Lineare Algebra, Eine EinfŁhrung fŁr Studienanfšnger (Linear Algebra, An Introduction for Beginners)
• Fischer, G.: Lineare Algebra und Analytische Geometrie (Linear Algebra and Analytic Geometry)
• Artin, M.: Algebra

Supervision

The course will be supervised by:

• Dozent: Irene Bouw
• ‹bungsleiter: Max Schwegele