Course Description. This is an introduction to the rigorous treatment of the foundations of real analysis in one variable. It is based entirely on proofs.

Topics include: metric spaces, differentiation of functions of several real variables, the implicit and inverse function theorems, Riemann integral on Rn, ...

This course is intended to cover the topics needed for the departmental comprehensive exam in Algorithms. Unlike in the past, the course and the final exam will ...

This course is a continuation of Honors Calculus. Topics covered include integration techniques, trigonometric functions, the logarithm, ...

Topics include: properties of the real number system, sequences, continuous functions, topology of the real line, compactness, derivatives, the Riemann integral ...

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This is an introduction to the rigorous treatment of the foundations of real analysis in one variable. It is based entirely on proofs.

Topics include: algorithms for solving nonlinear equations; optimization; finding eigenvalues/eigenvectors of matrices; computing matrix factorizations and ...

We will follow the book rather closely, covering most of the material in between chapter I and chapter IX. The book is available on amazon (check also NYU ...

This is an introduction to the rigorous treatment of the foundations of real analysis in one variable. It is based entirely on proofs.