what the problem asks you to do

You will prepare the Final Project for this course during Week 6 using the template provided in this week’s Learning Resources. Your Final Project will be a combination of Parts I (completed this week), II (completed in Week 4), and III (completed in Week 6). This will serve as a “portfolio” of the skills that you have learned in this course.

During Weeks 1 and 2, you have learned many things about Critical Thinking and Set Theory. In Part I of this project, you will complete four problems (two from each chapter) similar to ones that you have done for homework. You will need to show the solution to the problem and explain your solution using the concepts and terminology that you have learned.

Critical Elements:

Begin with an Introductory paragraph about what you have been studying in this class. Do not just provide a list of topics, think about how to explain the “general ideas” of the class to your reader.

This should be followed by four problems (two from each Chapter) selected from the Word document provided below. Your assignment should explain to the reader what the problem asks you to do, provide a complete solution to the problem, followed by a paragraph that explains not only how to solve the problem but the relevance or importance of this topic. You may label the four problems “Problem #1”, “Problem #2” and so on.

Here’s an example using the following problem:

Solution: In this problem we are asked to find the set A’, which is the complement of the set A. Using roster notation, A = {9, triangle, circle, square}. To find the complement of A, we need to find all the other elements of the universal set, U, that do not appear in A. That would include the values 3, 7, and ? inside set B, as well as the 8 and #, which are not in either sets A or B. The final solution is: A’ = {8, #, 3, 7, ?}

This problem illustrates the importance of mathematical notation and interpretation of a graphical representation. To solve this problem, we must not only know what the complement of a set is, but also how to parse a Venn diagram and represent various sub-sets.

Finally, write a conclusion paragraph that summarizes how your view of mathematics has improved or matured over the last two weeks. How can you apply this new skill or knowledge to your educational degree or personal goals?