The article highlights the experience of Ukraine's education system in the extreme conditions of war. The peculiarity of this period is the need to combine the fulfillment of important tasks that stretch back to the past and require their logical completion with the current tasks caused by the war. As a result of continuous, bloody hostilities and air bombardment, civilian critical infrastructure, premises of higher education institutions were damaged and destroyed, educational and research equipment was lost; there were significant losses of teachers and students who were forced to move to safer regions of the country and abroad. The war continues. The educational process has completely stopped. However, this is unacceptable. It is necessary to continue training specialists for the national economy, the security and defense sector, and the Armed Forces of Ukraine. Taken together, all of this has determined the need to substantiate a universal methodology for teaching certain academic disciplines to higher education students in wartime. The article analyzes modern publications on the topic of the study. The article highlights the unresolved aspects of developing the theoretical foundations of advanced teaching of certain academic disciplines to students. The existing decisions of the Ministry of Education and Science of Ukraine, namely the models of organization of education: full-time, distance, mixed and individual forms (external or family form), unfortunately, do not solve the problem of organizing education during air raid. The author proposes to base the methodology of teaching certain academic disciplines to higher education students in wartime on advanced learning. To do this, the main lecture topics are given by the teacher before the start of studying them in the program. The proposed solution has successfully passed field tests and ensured the safety of students' lives. Advance learning is effective both when studying a topic that is difficult to understand and when studying a topic that is closely related to other disciplines that have been studied before.