Topics include sequences of numbers, limits and the Cauchy criterion, continuous functions, differentiation, inverse function theorem, Riemann integration, sequences and series, uniform convergence.

Liu Wen, A Nowhere Differentiable Continuous Function, The American Mathematical Monthly, Vol. 107, No. 5 (May, 2000), pp. 450-453. ... They are often gems that provide a new proof of an old theorem, ...