Description
In the event you’re a school/college pupil in a STEM area and also you’re taking a course on actual sequences, that is for you. This course accommodates visible and brain-friendly movies that can make it easier to higher perceive ideas associated to actual numbers and actual sequences.
This course is hands-on. You’ll have to pause a number of instances in the course of the movies and reply some questions that can make it easier to make progress. Hopefully, on the finish of this course, assignments and exams will look rather a lot simpler for you.
The primary part of this course offers with actual numbers. It defines actual numbers and presents ideas associated to the set ℝ of actual numbers. These ideas are the ground and ceiling of an actual quantity, absolutely the worth, the density of a subset of ℝ, the supremum, the higher sure, and the best component.
The second part of this course is about actual sequences. It begins with the definition and the other ways to visualise an actual sequence. Then it clarifies a number of ideas associated to actual sequences: mathematical induction, convergence, divergence, monotonicity, and subsequences. Additional, it presents instruments and theorems associated to actual sequences: adjoining sequences, squeeze theorem, fastened level theorem, and so forth. And eventually, it discusses explicit sequences you will note rather a lot throughout your educational journey: arithmetic and geometric sequences, first- and second-order recursive sequences, and basic recursive sequences.
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