Colleges usually look for students who have already completed Calculus 1 before their freshman year in order to focus on more advanced calculus and other required math classes. Algebra 1 and 2, Geometry and Calculus 1 are usually taken in high school and should be completed before entering an undergraduate aeronautical engineering program.
A typical college freshman year will require Calculus 2. A typical sophomore year will require analytical geometry, Calculus 3, differentials, matrix methods and Physics 2 and 3. A typical junior year will require Advanced Engineering Math 1, while a typical senior year will have Advanced Engineering Math 2, along with probability and statistics.
The math requirements may vary due to the specialty of study. The following math classes may be a part of an aeronautical engineering course of study: Linear algebra, ordinary differential equations, partial differential equations, number theory, trigonometry, complex variables, set theory, matrix analysis, vector analysis, introduction to numerical methods simulation and infinite random matrix theory.
Keep in mind that many of the required science courses, such as thermodynamics and fluid mechanics, are also math-intensive in their study.