Part 4: Math. Analysis – Absorption of sequences by sets

Here, you will understand the generalizations of the sequences of Rd. you will also learn the absorption of sequences by sets. For this, all terms of the sequence have to be stuck inside a sequence. All integers of a sequence must be stuck in the set. You will also have to prove whether the sequences you are using are converging. You will also learn the Sandwich theorem and understand how you can generalize this theorem. You will also learn how to do algebra limits because these do not need proof. You will also learn about the edge of limits and limit holds.

Continue reading “Part 4: Math. Analysis – Absorption of sequences by sets”

Part 3: Math. Analysis – Interior and non-interior points

Here you will cover interior and non-interior points by defining them and finding out how they manipulate other sets. You will also draw a couple of pictures that will tell you whether they are interior or non-interior points. If the events are in the set, they are part of the mint actions. To be a non-interior point, it has to be a point that is not in the set. You will see how you can prove that a point is a non-interior point by considering the intervals. You will understand how to find nint and int values as you do the necessary calculations for intervals. There are also exercises to fill in the details of calculations done. The rationals have no interior points.

Continue reading “Part 3: Math. Analysis – Interior and non-interior points”

Part 2: Math. Analysis – Why do we do proofs?

The following session covers the questions that are most commonly asked when it comes to proofs. It finds out whether all mathematical statements are clearly true or clearly false using examples and calculations. Also, the professor tells you why you need to use proofs at all. You will understand how to know when something is completely false or true and when it is a special case. This is seen when trying to join two parts of a graph. You will also understand why you must know what your definitions are specifically. You do not need to memorize proofs, but you will need to understand how to do them and figure out the unusual ideas and tricks that you can use.

Continue reading “Part 2: Math. Analysis – Why do we do proofs?”

Part 1: Math. Analysis

This is a module that helps students believe that they may not have to do a lot of equations with proofs. It is an extension of studies that were covered in the past year and those in analytical and computational foundations. This module helps students to learn about what is true, why, and, how you can know it is true. It will also cover how to do proofs overall. It is full of proofs that you will have to understand and that you will have to produce during the exams. However, this module will give you a few exceptional tricks that you should memorize instead of 100 proofs – which may turn out to be ineffective at all.

Continue reading “Part 1: Math. Analysis”