This class forms one half of the class 11.733 Real Analysis. Students taking both the class 11.711 and 11.721 will be registered for the combined class 11.733 .
Heredity results including composition of functions.
Characterisation of continuity via sequences. Bijections, monotonic functions, inverse of continuous function is continuous. Differentiability implies continuity. Product, quotient, chain rules. Rolle's Theorem, First Mean Value Theorem.