The purpose of this course is to learn how to write basic mathematical proofs using a standard mathematical type setting program, i.e. LaTeX.
Required text: None. Recommended texts include:
Math into Latex by George Grätzer
A Primer of Mathematical Writing by Steven G. Krantz
Course hours:
I am teaching four sections of this course this semester.
Monday 10 AM
Monday 2 PM
Wednesday 10 AM
Wednesday 2 PM
Office hours (Prof. O'Brien): TBD
Grading Scheme:
Written Assignments (one per week) - 80%, Intangibles - 10%, Final Paper - 10%
Written Assignments (80% of final grade):
The majority of this course will be based on short proofs of some of the most basic problems in math that are to be turned in during each class. While the content of these proofs is incredibly basic, the write up of these proofs need to be of the highest quality. Some problems will be done with a partner, others will need to be done alone. Problems include:
Prove that an integer is divisible by three if and only if the sum of its digits are divisible by 3.
Prove that the sum of two odd numbers is odd (and various combinations of this).
Prove that the square root of two is irrational.
Intangibles (10% of final grade):
These should be free points. Intangibles include, but are not limited to, class participation, homework presentation, and attendance.
Final Project (10% of final grade):
The final written project will be a 5 to 10 page paper where you and one partner are to thoroughly discuss 3 distinct proofs of Pythagorean theorem.
You will need to evaluate what is assumed in the proofs, the historical development of the proof.
You are also to give a one page opinion (yes, I know ... the only math class you will see that word!) as to which proof you would use if you were to give a lecture to first year undergraduate students.
