Analysis I

I taught Analysis I (Math 3150) in Fall 2016 at UConn. Interestingly, I never took analysis as an undergraduate (I jumped straight into measure theory instead since it sounded more interesting). So I learned quite a lot teaching this course! We used the textbook “Understanding Analysis” by Stephen Abbot. I highly recommend this book. I would also highly recommend complementing this with “How to Think About Analysis” by Lara Alcock. In addition, I wrote supplementary notes to complement the course textbook. Click here for these notes. Warning: They should go through some editing process.

continuous_nowhere_differentiable_function

A sequence of functions that converges to an everywhere continuous but nowhere differentiable function (done in Mathematica)
continuous_nowhere_differentiable_derivative

The corresponding sequence of derivatives showing more dramatically why the limit of the sequence from above is nowhere differentiable (done in Mathematica)