«Training manual on the course Higher mathematics . Part 1" is an indispensable assistant for students, teachers and anyone who seeks a deep understanding of the basics of higher mathematics. Created by a team of authors, this manual is a comprehensive and carefully researched educational material that reveals the fundamental concepts and methods underlying modern mathematical thinking. The title of the book speaks for itself - it is intended for those who want not just to memorize formulas and theorems, but to understand their essence, learn to apply in various situations and prepare for more complex sections of mathematics. In the first part of the course, the authors focus on basic concepts such as limits, functions, derivatives and integrals - these are the topics that serve as the basis for further study. The book is replete with practical problems illustrating theoretical positions, which allows the reader to consolidate the material and develop analytical skills. The peculiarity of this manual is its structure and accessibility. The author’s team, including experienced teachers and methodologists, tried to make each page understandable and logical. The book uses modern approaches to explain complex topics, which makes it especially attractive for students of technical, economic and natural sciences specialties. In addition, the manual contains tips for preparing for exams and recommendations for self-study, which makes it a valuable tool for independent work and repetition. The book "Training manual on the course Higher mathematics . Part 1" is perfect for students of universities, colleges and those who master mathematics on the basis of higher educational institutions. It will be interesting for teachers who are looking for effective teaching materials for classes, and students who want to systematize knowledge and prepare for exams. Age range of readers - from first-year students to those who want to refresh and deepen their knowledge in the field of mathematical analysis The topics raised in the book not only reveal the foundations of higher mathematics, but also emphasize its practical significance. The reader will learn how mathematical methods are applied in engineering, economics, physics and other sciences, which makes the material especially relevant and interesting. Particular attention is paid to the development of analytical thinking, a logical approach to solving problems and the ability to see the connection between theoretical knowledge and practical tasks. The style of the authors is distinguished by clarity and accessibility, which makes complex topics understandable even for those who are just beginning to get acquainted with higher mathematics. The book uses modern educational techniques, illustrations and schemes that help to better assimilate the material. The author's team, known for its publications and textbooks on mathematics, created a manual that not only informatively, but also inspires further study of this fascinating science. If you are looking for a book that will help you confidently master the basics of higher mathematics, understand its laws and learn how to apply them in practice, Part 1" will be your reliable companion on the way to mathematical skill. This manual is not just a textbook, but a key to the development of logical thinking, analytical abilities and professional competence.