Abstract | This course gives an introduction to the following subjects: calculus, multivariable calculus, differential equations, linear algebra (systems of linear equations, matrices, eigenvectors). |
Learning objective | Basic mathematical knowledge for engineers. Mathematics as a tool to solve engineering problems. |
Content | This course gives an introduction to the following subjects: calculus, multivariable calculus, differential equations, linear algebra (systems of linear equations, matrices, eigenvectors). |
Literature | Tom M. Apostol, Calculus, Volume 1, One-Variable Calculus with an Introduction to Linear Algebra, 2nd Edition, Wiley Tom M. Apostol, Multi-Variable Calculus and Linear Algebra with Applications, 2nd Edition, Wiley Ulrich L. Rohde, Introduction to differential calculus : Systematic studies with engineering applications for beginners, Wiley. Ulrich L. Rohde, Introduction to integral calculus : Systematic studies with engineering applications for beginners, Wiley. Serge Lang, Introduction to Linear Algebra, 2nd edition, Springer New York. Serge Lang, A First Course in Calculus, 5th edition, Springer New York. A list will be handed out in the lecture. |
Competencies | Subject-specific Competencies | Concepts and Theories | assessed | | Techniques and Technologies | fostered | Method-specific Competencies | Analytical Competencies | assessed | | Problem-solving | assessed | Social Competencies | Communication | fostered | | Cooperation and Teamwork | fostered | Personal Competencies | Creative Thinking | fostered | | Critical Thinking | fostered | | Self-direction and Self-management | fostered |
|