Prerequisites: MAT 211 and MAT 271 with grade C or better.
Textbook: Introduction to Analysis by Maxwell Rosenlicht ISBN-13: 9780486650388 Dover Publications
There are also a few classic analysis books listed in "Suggestions for Further Reading" of our textbook. If you want to go further, read Rudin and Royden's books. (both have newer editions).
Syllabus: The system of real numbers, metric spaces, continuous functions and differential functions. This roughly corresponds to Chapter 2, 3 and 4 of the textbook.
Course Management: BlackBoard
LaTeX: is a modern typesetting system for mathematics and more. Visit The LaTeX Project for more information.
Overleaf is a web-base service (has free option) that allows you to use LaTeX without installing it on your machine. ShareLaTeX is another one. And these services are going to merge.
Homework: can earn you up to 5 extra-credit points. To earn them you need to present homework problems in class and typeset them in LaTeX.
Schedule Outline: Chapter 2,3 and 4. There are roughly 85 pages of materials.
|08-21||The field properties||08-23||Order|
|08-28||The least upper bound property||08-30||The least upper bound property|
|09-04||Labor Day||09-06||Existence of square roots|
|09-25||Metric Spaces||09-27||Open and Closed sets|
|10-02||Open and Closed Sets||10-04||Convergent sequences|
|11-06||Definition of continuity||11-08||Continuity and Limits|
|11-13||Continuity of Rational operations||11-15||Continuous functions on a compact space|
|11-20||Continuous functions on a compact space||11-22||Continuous functions on a connected space|
Learning Outcomes: Please refer to this Expected Outcomes section.
Other Policies: For policies on academic integrity, accommodation for students with disabilities, due dates and make-up work and various other topics, please consult this page .