The Fundamentals of Engineering Mathematics 1 course provides basic and advanced knowledge of analysis, including: sequences, limits, derivatives, integrals, series, differential equations, and functions of many variables. The course content focuses on concepts, calculation methods, and applications in practical problems, such as function investigation, optimization, series convergence testing, and extreme value analysis. In addition, students will be introduced to advanced mathematical tools such as Taylor, Maclaurin, Fourier series, and methods for solving differential equations. The course emphasizes the combination of theory and application, helping students develop mathematical thinking and apply knowledge in engineering and science fields.