The monograph is devoted to modern technologies of teaching mathematics in higher education and covers key aspects that contribute to the successful teaching of students in mathematical disciplines in the conditions of rapidly developing educational technologies. The work considers innovative approaches in the pedagogical activity of the teacher, theoretical foundations of pedagogical technologies, as well as cultural and methodological aspects of the design of the educational process. It analyzes various forms and methods of teaching, including lecture and practical classes, design of students' independent work. Special attention is paid to the use of modern digital tools, online platforms and mathematical software packages in the teaching process. The monograph also addresses the issues of creating an educational environment that promotes the development of students' analytical thinking, critical approach and independence in learning. The recommendations presented in the work can be useful for teachers involved in mathematics education in universities, as well as for methodologists and developers of educational programs.