To prepare for a mechanical engineering program, a solid foundation in mathematics is essential. The recommended sequence of courses includes Algebra, Geometry, Advanced Algebra and Trigonometry, Precalculus, and then progressing through Calculus 1, 2, and 3, along with Linear Algebra and Differential Equations. It's crucial to be proficient in algebra and trigonometry, and taking a college algebra course can be beneficial. Students returning to school after a break can catch up by taking remedial courses, which are often available. Many engineering programs expect students to start with Calculus 1 in their first semester, so completing prerequisites at a community college or passing a math proficiency exam can help accelerate this process. Online resources like Khan Academy, Coursera, and Mathispower4u offer valuable study materials to aid in preparation.