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Am I missing important subjects?

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I am currently majoring in mechanical engineering. My college has the following required math courses for this major: -Calc I -Calc II -Differential Equations I feel that I also need linear algebra and Calc III. My school does offer linear algebra but not Calc III. How essential is Calc III? Will it keep me from being a competitive engineer when applying for jobs? Should I transfer to a school that requires more rigorous math courses? p.s: Im currently a freshman and plan on taking Linear Algebra as an elective on my fourth sem.

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