## Math 281: Introduction to Mathematical Reasoning

 Renzo's class MWF 11– 11:50 am ENG E 202

 Office Hours Syllabus Evaluation Homework Exams

TEXTBOOK:

A concise Introduction to Pure Mathematics

M. Liebeck

Chapman &  Hall

LaTeX CHEATSHEET:

PROJECTS

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RESOURCES

EXAMS AND EXAM STUFF:

Office hours : official office hours are

·        Monday, 10-11 am

·        Wednesday, 12-1 pm

If you can't make it at those times, most of the time I should be able to arrange a meeting by appointment. Please use the office hours, come discuss problems, confusions , ideas, or simply to chat about math or to have a cup of tea.

The tables of the law for this class are contained in the following document:
Syllabus

Once you get settled, you are warmly invited to tell me what you
do and don't like about me and this class. I try my best to take criticism very well.

to fill up the (anonymous)evaluation form!

Homework: here is the suggested homework (blue) and the due to be graded homework(red) . Remember that homework is due every Friday.

However, remember to do as much homework as you need. Each and everyone of us learns at his/her own very personal pace, and needs his/her own very personal amount of exercise!

 DATE DUE: Aug 29th Given 6 square tiles of unit side-length, what are the possible perimeters of plane tilings? PROVE your answer. If you come up with more than one proof, that’s even better. MEDITATE on the process: ·        How did you get to the answer? ·        What strategies did you use for your proof? TURN in one write-up per group. If you didn’t get to a proof, just write whatever you found, ideas, conjectures, possible strategies. Sep 5th Sep 12th No-homework…projects in progress. Sep 19th Projects writeups due. Sep 26th Oct 13th Homework 3 Oct 17th Homework 4 Oct 20th Recovery Homework 1 (This homework is REQUIRED for anybody who got less than 60% in the midterm) Oct 24th Homework 5 Oct 27th Recovery Homework 2 (This homework is REQUIRED for anybody who got less than 60% in the midterm) Oct 31st Homework 6 Nov 14th Homework 7 Dec 5th Homework 8 Dec 12th Write your own account of the proof of the theorem about algebraic numbers being a field.   NOTE: the account must NOT include all that we have done in class over the last two weeks. What I would like is a nice, condensed, streamlined product. You are allowed to state certain things without proving them, but you have to make clear what you prove and what you don’t.   This is an important homework (and I am considering possibly incorporating the evaluation of it into the final evaluation). Do it well, please!

Midterm exams.

• October 3rd
• Nov 21st