Textbook:
Undergraduate Texts in Mathematics: Understanding Analysis by Stephen Abbott, 2nd edition, Springer, 2015
This course offers an in-depth exploration of the real number system, building on the foundation-
tional concepts introduced in calculus. Key topics include the completeness and topology of the real numbers,
sequences and series, limits, continuity, differentiation, and integration.
- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5
- Homework 6
- Quiz 1 (Posted on Canvas)
- Quiz 2 ( Posted on Canvas)
- Quiz 3 (Posted on Canvas)
- Quiz 4 (Posted on Canvas)
- Exam 1 content
- Final exam content
Other recommendations to the students in this course:
- How To Read Mathematics, by Shai Simonson and Fernando Gouvea
- How to write proofs: When I was a graduate student at Auburn University, I had a course in Algebra I with Professor Randall Holmes, the appendix of writing proof was very useful and I could improve my writing of proofs a lot throughout the course. Now I am suggesting to all my students in proof-based courses to follow this appendix to improve their math writing.