Problems are from the assigned textbook: Lay, Analysis with an Introduction to Proof, 5th edition, Pearson, 2014. The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice, while highly recommended, is up to your discretion.
Please check this page regularly: it will updated throughout the term.
| Date | Topic | Problems |
|---|---|---|
| Jan 16 | ordered field axioms (due Jan. 26) | §3.2; #3, 4 |
| Jan 27 | completeness (due Feb. 6) | §3.3; #3e,f,g,k,l,n;#5,6,13 |
| Feb 6 | topology of the reals (due Mar. 2) | §3.4; #5, 7, 11 |
| Feb 16 | MIDTERM EXAM #1 | |
| Feb 20-24 | Mid-Semester Break | |
| Feb 27 | sequences and limits (due Mar. 6) | §4.1; #5; 6a,c,d,e; ; 8a,b; 9 |
| Mar 9 | Quiz on §4.1 (limits) | |
| Mar 9 | limit laws (due Mar. 20) | §4.2; #3, 4, 6, 13 |
| Mar 20 | limits of functions | §5.1; #6, 7a, 8a, 10a |
| Mar 30 | MIDTERM EXAM #2 | |
| Apr 4 | continuity | §5.2; #4, 5, 6adef, 9, 10 |
| cardinality | §2.4; #3abc, 9 | |
| Apr 13 | Final Class | |
| ??? | FINAL EXAM |
May 2, 2017