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.

Blended learning using TUWEL.

• Registration takes place directly on TISS. When registering, you can choose a weekly time slot (“early/middle/late groups”). The division into groups only takes place after registration - direct registration in the individual groups is not possible!
• On Tuesday 8.10.2024 there will be a preliminary discussion at 13:00h in HS8! Due to the limited space available, this preliminary discussion will be streamed live to the AE-U1 and EI-3 lecture halls. There will be no other exercises on this day!
• The first exercise session will take place on Tuesday, October 15, 2024, the first plenary session on Thursday, October 10, 2024.

Midterm exam (35%), Endterm exam (35%), pop-up quizzes (30%) , non of which is repeatable. For a positive grade it is necessary to achieve at least 50%. Furthermore a presentation on a preassigned mathematical topic has to be given. If you get a negative grade on this presentation, a one time do-over is possible. Furthermore, bonus points can be earned through voluntary acitivities.

Lecture notes

Precalculus