Learning management system is a variation of content management system focused on e-learning. Moodle or Atutor are some examples of this software application. The layout is specially adapted for education courses or training programs and highly customisable with modules such as quizzes, deadlines, portfolios...
The best way to understand that is medium an example like Ready, Study, Go Ahead, LMS website based on e-learning packages for language and cultural preparation.
Review
Despite the main idea is right, there are some aspect they could improve.
The first thing what we are missing is a personal profile. A place to record your progress and have a track of your exercises.
Secondly, the layout is completely irregular and sometimes seems poorly adjusted: many different sizes for images and letters, photos's locations...
Besides, I would recommend to add some modules:
Calendar would be a good idea to organise course time and units.
Social media will let people share and recommend it.
Main menu on the left sidebar to allow direct access to the whole content.
In conclusion, with a little effort you can develop and improve your web site. Just let them tell you advantages and drawbacks of it. Constructive criticism is always welcome.