The Programming Buddy Club Logo
The Programming Buddy Club

Visual Real Analysis : Real Numbers & Real Sequences | Free Udemy Course
Scroll Down to get the courseGet The Course

Visual Real Analysis : Real Numbers & Real Sequences | Free Udemy Course

Free $19.99100% off
Price expires 1 year ago or 202 uses

A visual and brain-friendly course that makes real analysis fun and easy for college and university students | Free Udemy Course

(2 ratings)
803 students
Created by:
Last updated 3/2023Course Language EnglishCourse Caption English [Auto]Course Length 02:44:14 to be exact 9854 seconds!Number of Lectures 14
This course includes:
  • 2.5 hours hours of on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of completion

If you’re a college/university student in a STEM field and you’re taking a course on real sequences, this is for you. This course contains visual and brain-friendly videos that will help you better understand concepts related to real numbers and real sequences.This course is hands-on. You will have to pause several times during the videos and answer some questions that will help you make progress. Hopefully, at the end of this course, assignments and exams will look a lot easier for you.The first section of this course deals with real numbers. It defines real numbers and presents concepts related to the set ℝ of real numbers. These concepts are the floor and ceiling of a real number, the absolute value, the density of a subset of ℝ, the supremum, the upper bound, and the greatest element.The second section of this course is about real sequences. It starts with the definition and the different ways to visualize a real sequence. Then it clarifies several concepts related to real sequences: mathematical induction, convergence, divergence, monotonicity, and subsequences. Further, it presents tools and theorems related to real sequences: adjacent sequences, squeeze theorem, fixed point theorem, etc. And finally, it discusses particular sequences you will see a lot during your academic journey: arithmetic and geometric sequences, first- and second-order recursive sequences, and general recursive sequences.Who this course is for:This course is for college and university students who take math courses dealing with sequences.

Course Content:

Sections are minimized for better readability, click the section title to view the course content

4 Lectures | 54:43
10 Lectures | 01:49:31
(2 course ratings)






If you like to get inspired by great web projects, you should check out Made with Javascript. If you have a project that you wish to share with the world, feel free to submit your project on Made with Javascript Club website.

Free Online Tools And Converters for your use

URL Encoder

Input a string of text or a URL and encode the entered string

Try it

URL Decoder

Input an encoded string of text or a URL and decode the entered string

Try it

Color Contrast Checker (WCAG)

Calculate the color contrast ration for your website (WCAG)

Try it

XML Formatter

Paste or upload an XML and have it formatted to a beautiful XML format

Try it

URL Slug Generator

Convert any title or sentence into a variety of slugs for your pages URL

Try it


Draw an e-signature or type a signature for your online signature

Try it

FAQ: Udemy Free course Most frequent questions and answers

Does Udemy offer Free Udemy coupons?

Yes, Udemy is the largest online education platform, with the broadest selection of video-on-demand courses and qualified instructors available to meet your needs. At we curate the latest udemy coupons, their expiry, and the number of uses left of these udemy coupons.

How to get free Udemy courses?

There are two ways to get free Udemy courses:

  1. Go to and search for your desired course category. Then select free from the filter options.
  2. You can also get paid courses for free if you have a coupon. You can head to, where you can get a daily udemy paid course for free.

How to get Udemy Certificates for free?

Udemy offers certification on completion of each course. In order to receive a certificate of completion from Udemy, you need to complete your course 100%. There is a simple hack, you can open a video and jump on the timeline to complete a lecture.

To download the certificate from Udemy, you need to head over to your account on a desktop browser. Udemy certificates can't be accessed on the mobile app.

Do Udemy courses expire?

No, once you enroll, you will have lifetime access to the course. You can complete the course on your schedule.

Why are the Udemy instructors giving away free Udemy Coupons?

Every instructor has worked for hours on each of their courses. As new courses get launched, the instructors have no way to get their course in front of an audience to get some feedback. So, instructors share free coupons for their courses to get feedback from the students. We work with these instructors to get their courses available to our buddies.

Is Udemy safe to use?

Yes, payments on Udemy are safe. It is no different than paying for other services on an application or website and inputting your payment information before receiving your goods. Just be sure to keep your account secure, do not share your udemy accounts.

Can Udemy courses get you a job?

Earning a skill is more valuable than earning a job these days. Skills are your most valuable asset. They can help you qualify for jobs you want and get promoted to more advanced positions within your organization. Unfortunately, it is difficult for many people to balance taking courses with work and family obligations. We have had many students, who have taken just Udemy courses, started a job as well as started freelancing with the skills they have learned.