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This lecture introduces the purpose of the course, emphasizing the importance of mastering mathematics and calculation tools for engineers. The instructor, Lénaïc Chizat, highlights the need to think methodically and rigorously, focusing on concepts like sets, functions, integers, and rationals. The lecture covers topics such as derivatives, digital series, improper integrals, and real functions of a variable. Students are encouraged to attend exercise sessions and work on numerical sequences. The course structure, working methods, and support materials are also discussed, with an emphasis on developing a deep understanding of mathematical concepts.