IMPORTANT LINKS:A very important note on how to write homework. Answers to the questions of midterm exam no. 2, posted on December 10, 2018. The lecture notes for the course, Parts I, II and III, posted on October 30, 2018. These notes contain detailed explanations of logic (quantiftiers, the 14 logical rules) and an introduction to sets. The notes almost certainly contain lots of typos, but I have chosen to make them available to you right now, so you can start reading them and learning from them. The lecture notes for the course, Part IV, posted on November 18, 2018. These notes contain detailed explanations of number systems (that is, rings), and induction, including lots of examples of proofs by induction. The notes almost certainly contain many typos, but I have chosen to make them available to you right now, so you can start reading them and learning from them. The lecture notes for the course, Part V, posted on November 27, 2018. These notes contain detailed explanations of the well-ordering principle, the division theorem, greatest common divisors, Bézout's lemma, the Euclidean algorithm, prime numbers, the fundamental theorem of arithmetic, and Euclid's proof that the set of prime numbers is infinite. The notes almost certainly contain many typos, but I have chosen to make them available to you right now, so you can start reading them and learning from them. The lecture notes for the course, Part VI, posted on Decmber 7, 2018. These notes contain detailed explanations of relations, functions, one-to-one and onto functions, bijections, cardinality of sets, finite sets, infinite sets, infinite cardinalities, the Russell paradox, and the need for Axiomatic Set Theory. The notes almost certainly contain many typos, but I have chosen to make them available to you right now, so you can start reading them and learning from them. Homework assignment no. 1, due on Tuesday, September 18. Homework assignment no. 2, due on Tuesday, September 25. (This is a corrected version, posted on Sept. 21 at 10:00 p.m. In this version, a typo in the statement of Problem 2 has been corrected.) Homework assignment no. 3, due on Tuesday, October 2. Homework assignment no. 4, due on Tuesday, October 9. Homework assignment no. 6, due on Thursday, November 1 (for Section 5) and Friday November 2 (for Section 3). This is a new version, posted on October 30, in which a couple of typos that had occurred in the original version (posted on October 27) have been corrected. |
My course on INTRODUCTION TO MATHEMATICAL REASONING (Mathematics 300, Sections 03 and 05) meet as follows:
The list of homework problems for each week will be posted on this page.
Homework assignment No. 1, due on Tuesday, September 18, is already available here.