**Task description for the freelancer on selecting tasks for mathematical analysis**
**Goal:** Select tasks for mathematical analysis to prepare for the final exam from the Studienkolleg for admission to a university in Austria.
**Description:**
1. The attached files "Exam_1" and "Exam_2" contain exact examples of 9 topics for which similar tasks need to be found. These examples are taken from the website of the University of Vienna.
2. For each of the 9 topics, it is necessary to select 20 or more tasks.
3. Mandatory requirement: answers and/or solutions must be attached to the tasks (just answers are sufficient).
4. Examples of tasks can be taken from various textbooks, manuals, or online resources. There is no strict format for the order of topics - it can simply be in the form of a task book as shown in file "Example_X".
5. It is also possible to provide task books in PDF format and specify the exact task numbers that need to be included in the preparation plan. In this case, a separate list of tasks with the indication of the book/file must be provided for each topic.
6. Tasks can be in German (preferred), Russian, or Ukrainian. In the latter case, the conditions of the tasks must be provided in text format so that they can be easily translated into German using automatic translators.
**Note:** I already have 10 variants of tasks with answers from the website of the University of Vienna, but it is necessary to find other examples from different sources.
**Additional requirements:**
- Tasks are needed for all 9 topics, as done in the examples.
Price - flexible. Please suggest. The main criterion is "Quality."
Exam material:
• Vector calculus in R2 and R3
• Trigonometry, angle functions
• Logarithmic and exponential functions, exponential equations, logarithmic equations, word problems
• Sequences and series
• Differential calculus including the study of functions
and extremum problems
• Integral calculus with area and volume calculations
• Newton's approximation method
• Basic concepts of probability theory and combinatorics, binomial distribution, normal distribution, Poisson distribution, density functions
