Which Advanced Math Courses Benefit Robotics and Propulsion Engineering?

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The discussion centers on selecting advanced math courses for a Mechanical Engineering major with a Math minor, specifically for a student planning to pursue graduate studies and a PhD. The student has already completed several foundational math courses, including calculus, differential equations, and linear algebra, and is seeking recommendations for two upper-level math classes. Key suggestions include considering courses that cover Fourier series, as they are relevant in engineering applications. Engaging with faculty advisors and instructors of anticipated graduate courses is also recommended for tailored advice. The student’s interests lie in Robotics, Mechatronics, and propulsion, which may influence the choice of math classes to support these fields.
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Hey guys, I'm doing a Mechanical engineering major and a math minor and I have two math classes I can take at my own discretion. I was just wondering if there is any math class any current engineers would recommend I plan on going to Grad school and most likely doing a PhD after undergrad (I'll be a junior next semester). Math classes I've currently taking, have taken or will take as part of my major/minor curriculum are calculus 1, 2, 3, differential equations, linear algebra, vector calculus, and bridge to abstract mathematics. I have two math courses that are at least 4000 level or above that i need to take for the minor. I know math at higher levels gets more abstract but if you can think of any useful maths I'd love to hear it. Thank you.

P.S. My interest for grad school are in Robotics/Mechatronics and propulsion
 
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Can you list the math classes that you are going to choose from? Is your faculty advisor an ME? Asking instructors that teach the grad school classes that you anticipate taking might also help.
 
Have you taken anything that teaches Fourier series? They show up a lot in engineering coursework.
 
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