The article looks into the issue of developing the course syllabus for mastering Operations Research. This study focuses on the issues of implementing cloud computing while solving optimization problems. The research analyzed practical experience of using mathematical modeling in planning technological, biological and vital processes. This analysis confirmed the relevance of using cloud environment CoCalc while teaching students how to solve Operations Research issues. The paper describes characteristics research of online-courses on Operations Research with the help of the Inductive Content Analysis Method. The study presents the development of the course syllabus for students who study the course Operations Research, or those who want to study Operations Research methods independently. The article shows the analysis of the survey results that allowed studying students and teachers’ opinions on improving the course using the computer mathematics systems. This paper also discusses the course annotation and aim, requirements to course users, learning organization of course modules directed at acquiring certain competencies. There was ground to conclude about the importance and relevance of developing an online course “Operations Research Oriented to Cloud Compu-ting in the system CoCalc” on the platform “Higher School Mathematics Teachers”.