Introduction To Analysis I (Honors)

This is a graduate level course being offered at Indiana University by the Math Department. I took this course on Fall 2013 with Prof. Alberto Torchinsky. The book we used was Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) (International Series in Pure & Applied Mathematics) by Rudin. All assignments are from this book. I do not like this book very much and instead prefer other like: Elementary Analysis: The Theory of Calculus by Ross and The Way of Analysis, Revised Edition (Jones and Bartlett Books in Mathematics) by Strichartz.  The following is a compilation of my solutions to assignments given in class.

Assignments

• Assignment 1 (with solutions)
• Assignment 2 (with solutions)
• Assignment 3 (with solutions)
• Assignment 4 (with solutions)
• Assignment 5 (with solutions)
• Assignment 6 (with solutions)
• Assignment 7 (with solutions)
• Assignment 8 (with solutions)
• Assignment 9 (with solutions)
• Assignment 10 (with solutions)

Exams

• MidTerm 1 - [Solutions]
• MidTerm 2 - [Solutions]
• Final Exam (with solutions)

Resources

• Notes
• Complement Notes to Rudin (very useful! taken from George Bergman website, check it out)
• Cantor Set
• Cauchy Criterion
• Infinite Series, Convergence Tests and Leibniz Theorem
• Guide to Open set Proofs (taken from Professor Sormani's website)

Video Lectures

• The University of Nottingham - U-Now Open Courseware - Mathematical analysis
  (This is a great resource as a complement to your lectures. I highly recommend it)

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