After successful completion of the course, students are able to ...

• use logical connectives and quantifiers correctly,
• model quantitative relationships using the concept of functions,
• distinguish between the characteristic properties of the integer, rational, real and complex numbers,
• solve counting problems using a suitable combinatorial formula,
  
• perform basic calculations, such as calculation of roots, in the field of complex numbers,
• transform Cartesian to polar resp. cylindrical and spherical coordinates,
• determine the convergence and possibly the limit of a sequence, in particular of an infinite sum or a power series,
• determine continuity and differentiability of real functions in one variable, and to determine the derivative of such a function
• examine polynomials for their reducibility and to determine their zeros exactly or approximatively,
• expand real functions into their Taylor series and to formulate the relationship between these objects,
• express quantitative relationships using elementary functions such as exponential, power, trigonometric functions and their inverse functions,
• determine monotonicity, minimal and maximal values, and curvature by means of differential calculus,
• correctly interpret the integral of a real function, and in simple cases to determine it numerically

Elements of mathematical logic, real and complex numbers, linear algebra in 2d and 3d, real functions, calculus.

Lecture and elements of e-learning

Course starts on Wednesday, March 4.

written exam

Lecture notes are available at Grafisches Zentrum.

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