Updated May 3, 2013
My course on INTRODUCTION TO MATHEMATICAL REASONING (Mathematics 300, section 08) meets on Tuesday and Thursday 7th period (6:10 to 7:30 pm) in Frelinghuysen Hall B5, College Avenue Campus.
Students should bring the book and printouts of the notes to every lecture.
Click here for the first set of notes, which contains the list of problems of the first homework assignment, due on Tuesday, January 29. This is a corrected version, posted on Sunday January 27, in which a couple of typos that appeared in the first versiom have been fixed.
Click here for a handout containing the complete list of all the 15 rules of logic.
Click here for a 4-page set of notes containing a complete list of the axioms of elementary arithmetic.
Click here for the Wikipedia article on "Syllogism." This article is strongly recommended reading. But I am not asking you to study it, because one of the main points of the article is to tell you that the 2000-year old theory of syllogisms has been supersed by first-order predicate logic, which is what we are learning in our course.
Click here for a 6-page set of notes containing the list of problems of Homework No. 2 (due on Thursday, Feb. 7) as well as lots of very useful remarks about how you should write and what you should not write.
Click here for the list of problems of Homework No. 3, due on Thursday, Feb. 14. (This is the second version, posted on February 13, in which a few typos have been corrected.)
Click here for the list of problems of Homework No. 4, due on Thursday, Feb. 21.
Click here for the list of problems of Homework No. 5, due on Thursday, Feb. 28.
Click here for a note with information about the first midterm exsm, which will take place on Tuesday, March 5.
Click here for the list of problems of Homework No. 6, due on Thursday, March 14, and Homework No. 7, due on Thursday, March 28.
Click here for the list of problems of Homework No. 8, due on Thursday, April 4.
Click here for the list of problems of Homework No. 9, due on Thursday, April 11.
Click here for the list of problems of Homework No. 10, due on Thursday, April 18, and a long list of theorems with proofs.
Click here for a note containing the solution to the "top player" problem. (Actually, in the note I give you two proofs.) You should study at least one of the proofs carefully, because by studying this proof you will learn a lot, and because this question is very likely to appear in the second midterm.
Click here for a note containing a list of problems, which includes all the questions that you will get in the second midterm exam.
Click here for a note containing a lot of information about the final exam. This note was written in a hurry, and probably contains lots of typos. I apologize for that.