For the student planning to do doctoral work in fields related to mathematics, we suggest you take MATH 4023 in addition to a broad math background, with a mix of theory and applications, including the following:
MATH 4143 Ādvanced Calculus IMATH 4153 Advanced Calculus II
MATH 4613 Modern Algebra I
MATH 5013 Modern Algebra II
You should also investigate courses within your chosen field, such as business, engineering or computer science, as described in Section 5.1. Ask your adviser!