Gatech — Math 6701

Math 6701 is the first-semester graduate real analysis course at Georgia Tech. Unlike the undergraduate real analysis course (Math 4317/4318), which focuses on Riemann integration and pointwise convergence, 6701 plunges directly into .

The impact of MATH 6701 extends far beyond the final exam. For students in probability, it provides the rigorous measure-theoretic foundation for expectation, conditional expectation, and martingales. For those in PDEs and harmonic analysis, it justifies the interchange of limits and integrals that underpins the theory of weak solutions and Fourier transforms. Even for pure geometers and topologists, the language of measures appears in the study of Hausdorff measure and geometric measure theory. In this sense, Georgia Tech’s offering is not merely a service course but a gateway: proficiency in MATH 6701 is the unspoken prerequisite for advanced qualifying exams and for conducting research in analysis. gatech math 6701