Reforming the teaching of Advanced Mathematics courses with a focus on practical applications is an important requirement to help students at University of Finance and Accountancy develop knowledge, skills (competencies), and qualities in line with the learning outcomes standards. Therefore, this article proposes measures and designs illustrative problems to guide lecturers at the University of Finance and Accountancy in enhancing the application of practical scenarios in teaching Advanced Mathematics courses. On this basis, lecturers can design and organize teaching activities with diverse practical problems that align with the training fields of the University of Finance and Accountancy.