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

• to use logical connectives and quantifiers correctly,
• to perform basic calculations, such as calculation of roots, in the field of complex numbers,
• to transform Cartesian to polar resp. cylindrical and spherical coordinates,
  
• to determine the convergence and possibly the limit of a sequence of reals, in particular of a real series, or of a power series,
• to determine continuity and differentiability of real functions in one variable, and to determine the derivative of such a function
• to examine polynomials for their reducibility and to determine their zeros exactly or approximatively,
• to expand real functions into their Taylor series and to understand the relationship between these objects,
• to correctly interpret the integral of a real function, and to determine it in simple cases.

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

Solving preassigned problems. Discussion of questions in the online forum and in the weekly plenum.

Midterm exams (70%), pop-up exams (30%) and weekly problem assignments (bonus points)

Lecture notes

None.