The research presented in this article is about acquisition opportunities of a personalized topic sequence in terms of some study course in the adaptive e-learning system. The method to organize acquisition of the course topic sequence that helps a learner to organize learning process by creating a sequence for course topic acquisition adapted to personal needs and knowledge is offered in the article. The method can be used in an open-source learning management system with a structure of learning course topics. There are three topic choice opportunities offered for the learning course acquisition: teacher, learner, and optimal one. The teacher-indicated topic acquisition sequence is based on teacher's pedagogical experience. Learner's free choice of topics is based on links that are indicated between topics by the course creator. The optimal topic sequence for a specific course is obtained by using an optimal method for topic sequence acquisition described in the paper. The article covers an experiment where learners have an opportunity to manage their learning process on their own by using a teacher-offered topic sequence, by choosing learning topics on their own, or by using system-offered optimal topic sequence that is created for a specific course. The change of a topic sequence is organized with the help of method to organize acquisition of the course topic sequence offered in the article.