What is typically the first analysis course taken by mathematics majors in university?

The first analysis course taken by mathematics majors in university is typically called Real Analysis or Advanced Calculus. This course introduces students to the rigorous foundations of mathematical analysis, including the concepts of limits, sequences, continuity, differentiation, and integration. It also covers topics such as sequences and series, uniform convergence, and the theory of integration on the real line. Real Analysis is a fundamental course for all mathematics majors, as it provides the theoretical framework for much of higher mathematics.