Computational Science and Engineering Bachelor  |
 First Year Compulsory Courses |
| First Year Examination Block 1 |
| Number | Title | Type | ECTS | Hours | Lecturers |
|---|
| 401-0151-00L | Linear Algebra  | O | 5 credits | 3V + 2U | M. Auer,
V. C. Gradinaru |
| Abstract | Contents: Linear systems - the Gaussian algorithm, matrices - LU decomposition, determinants, vector spaces, least squares - QR decomposition, linear maps, eigenvalue problem, normal forms - singular value decomposition; numerical aspects. |
| Learning objective | Einführung in die Lineare Algebra für Ingenieure unter Berücksichtigung numerischer Aspekte |
| Lecture notes | eigenes Aufschrieb und K. Nipp / D. Stoffer, Lineare Algebra, vdf Hochschulverlag, 5. Auflage 2002 |
| Literature | K. Nipp / D. Stoffer, Lineare Algebra, vdf Hochschulverlag, 5. Auflage 2002 |
| Competencies | | Subject-specific Competencies | Concepts and Theories | assessed | | Techniques and Technologies | assessed | | Method-specific Competencies | Analytical Competencies | assessed | | Decision-making | assessed | | Problem-solving | assessed | | Social Competencies | Communication | fostered | | Cooperation and Teamwork | fostered | | Personal Competencies | Creative Thinking | assessed | | Critical Thinking | assessed |
|
| 252-0025-01L | Discrete Mathematics | O | 7 credits | 4V + 2U | U. Maurer |
| Abstract | Content: Mathematical reasoning and proofs, abstraction. Sets, relations (e.g. equivalence and order relations), functions, (un-)countability, number theory, algebra (groups, rings, fields, polynomials, subalgebras, morphisms), logic (propositional and predicate logic, proof calculi). |
| Learning objective | The primary goals of this course are (1) to introduce the most important concepts of discrete mathematics, (2) to understand and appreciate the role of abstraction and mathematical proofs, and (3) to discuss a number of applications, e.g. in cryptography, coding theory, and algorithm theory. |
| Content | See course description. |
| Lecture notes | available (in english) |
| Competencies | | Subject-specific Competencies | Concepts and Theories | assessed | | Techniques and Technologies | assessed | | Method-specific Competencies | Analytical Competencies | assessed | | Decision-making | fostered | | Problem-solving | assessed | | Personal Competencies | Adaptability and Flexibility | fostered | | Creative Thinking | fostered | | Critical Thinking | fostered | | Self-awareness and Self-reflection | fostered | | Self-direction and Self-management | fostered |
|
| 252-0856-00L | Computer Science | O | 6 credits | 2V + 2U + 2P | F. Friedrich Wicker,
R. Sasse |
| Abstract | The course covers the fundamental concepts of computer programming with a focus on systematic algorithmic problem solving. Taught language is C++. No programming experience is required. |
| Learning objective | Primary educational objective is to learn programming with C++. After having successfully attended the course, students have a good command of the mechanisms to construct a program. They know the fundamental control and data structures and understand how an algorithmic problem is mapped to a computer program. They have an idea of what happens "behind the scenes" when a program is translated and executed. Secondary goals are an algorithmic computational thinking, understanding the possibilities and limits of programming and to impart the way of thinking like a computer scientist. |
| Content | The course covers fundamental data types, expressions and statements, (limits of) computer arithmetic, control statements, functions, arrays, structural types and pointers. The part on object orientation deals with classes, inheritance and polymorphism; simple dynamic data types are introduced as examples. In general, the concepts provided in the course are motivated and illustrated with algorithms and applications. |
| Lecture notes | Lecture slides and all other material will be made available for download on the course web page. |
| Literature | Bjarne Stroustrup: Einführung in die Programmierung mit C++, Pearson Studium, 2010
Stephen Prata, C++ Primer Plus, Sixth Edition, Addison Wesley, 2012
Andrew Koenig and Barbara E. Moo: Accelerated C++, Addison-Wesley, 2000 |
| Competencies | | Subject-specific Competencies | Concepts and Theories | assessed | | Techniques and Technologies | assessed | | Method-specific Competencies | Analytical Competencies | assessed | | Media and Digital Technologies | assessed | | Problem-solving | assessed |
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