MATHEMATICS 300 HOME PAGE

SPRING 2013

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.

- the book
**A Transition to Advanced Mathematics**(seventh edition), by**Douglas Smith, Maurice Eggen, and Richard St. Andre**, - the suppplementary notes written by the instructor, which will be posted in this Web page.

Students should bring the book and printouts of the notes to every lecture.

**INSTRUCTOR'S OFFICE HOURS:**My office hours will be:-
**Wednesday 2:00 p.m. to 5:00 p.m.**in my office, Hill 538 **any other time,**by appointment, in my office, Hill 538. (The best way to schedule an appointment is by talking to me, or by sending me e-mail, to sussmann@math.rutgers.edu).

**LECTURES AND EXAMS:**We will have**26 lectures**, on- January 22, 24, 29, 31
- February 5, 7, 12, 14, 19, 21, 26, 28
- March 7, 12, 14, 26, 28
- April 2, 4, 9, 11, 16, 18, 25, 30
- May 2
and
**two midterm exams**, on- Tuesday, March 5,

- Tuesday, April 23.

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.**