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The article is devoted to the problem of teaching Mathematics to international students at technical universities. The study reveals the main educational difficulties of international learners enrolled in groups with Russian native speakers. The experience of giving lectures with presentations at Tomsk Polytechnic University is described. The study proves that the quality of mathematical education in a non-native language depends on the methods of delivering the lecture. It is found that delivering lectures in Mathematics with presentation slides enables international students to overcome educational difficulties.