The course in real analysis introduces the field of real numbers, their properties, absolute value, and interval types. It covers bounds, supremum, infimum, and the completeness axiom including the Archimedean property. Topological concepts such as neighbourhoods, limit points, and closed sets are discussed alongside the Bolzano- Weirstress Theorem. The course also explores real sequences, their convergence, monotonicity, and the Nested Interval Theorem. It concludes with infinite series, convergence tests, and the Cauchy criterion for both sequences and series.