MW 11:30 a.m.-12:30 p.m. or by appointment
| Tasks | Suggested deadline |
| #1 | Download a LaTeX distribution that is compatible with your operating system. I strongly recommend that you use TexShop if you are a Mac user or TexWorks if your are working with Windows. Type your first LaTeX document with a title ''Term Paper of Firstname Lastname'' and a first section ''Mathematical Logic'' and try to familiarize yourself with the software (helpful tutorials, Wikibook LaTeX). | Friday 09/06 |
| #2 | In your section called Mathematical Logic draw the truth table of the implication. Make sure that your table has a caption and is centered. | Friday 09/13 |
| #3 | In your section called Mathematical Logic: State the following exercise and provide a solution.
Exercise: Are the statement forms P∨((Q∧R)∨ S) and ¬((¬ P)∧(¬(Q∧ R)∧ (¬ S))) logically equivalent?
| Friday 09/20 |
| #4 | This assignment must be turned in. By Friday September 27, 8am you must send me an email with the subject ``MATH 300 term paper of (write your last name)'' with two files attached: the .tex file and the .pdf file.
The names of the files must be of the following form: yourlastname_draft.tex and yourlastname_draft.pdf. You must turn in a printed copy of your PDF file when you take Exam #1.
| Friday 09/27 |
| #5 | Create a section called Principle of Mathematical Induction. In this section you will prove that the principle of mathematical induction is equivalent to the principle of strong mathematical induction. More precisely you need to provide a proof for the following two statements:
1. The principle of mathematical induction implies the principle of strong mathematical induction.
2. The principle of strong mathematical induction implies the principle of mathematical induction. This assignment must be turned in (by the deadline indicated). You will send me an email with the subject ``MATH 300 term paper of (write your last name)'' with two files attached: the .tex file and the .pdf file.
The names of the files must be of the following form: yourlastname_draft.tex and yourlastname_draft.pdf. You must turn in a printed copy of your PDF file by the deadline indicated.
| Friday 10/18, noon |
| #6 | Create a new section called "A soft introduction to topology". In this section reproduce the template for the project on a soft introduction to topology. Provide a solution for all the exercises in the template. This assignment must be turned in (by the deadline indicated). You will send me an email with the subject ``MATH 300 term paper of (write your last name)'' with two files attached: the .tex file and the .pdf file.
The names of the files must be of the following form: yourlastname_draft.tex and yourlastname_draft.pdf. You must turn in a printed copy of your PDF file by the deadline indicated.
| Friday 11/08, noon |
#7 | Create a new section called "A soft introduction to measure theory". In this section reproduce the template for the project on a soft introduction to measure theory. Provide a solution for all the exercises in the template. This assignment must be turned in (by the deadline indicated). You will send me an email with the subject ``MATH 300 term paper of (write your last name)'' with two files attached: the .tex file and the .pdf file.
The names of the files must be of the following form: yourlastname_draft.tex and yourlastname_draft.pdf. You must turn in a printed copy of your PDF file by the deadline indicated.
| Friday 11/15, noon |
#8 | Provide a solution for exercise 5 in the soft introduction to topology project, and to exercise 8 in the soft introduction to measure theory project. This assignment must be turned in (by the deadline indicated). You will send me an email with the subject ``MATH 300 term paper of (write your last name)'' with two files attached: the .tex file and the .pdf file.
The names of the files must be of the following form: yourlastname_draft.tex and yourlastname_draft.pdf. You must drop off in my malbox in Blocker a printed copy of your PDF file by the deadline indicated.
| Tuesday 11/26, noon |
#9 | Create a new section called "A soft introduction to cardinality theory". In this section reproduce the template for the project on a soft introduction to cardinality theory. Provide a solution for all the exercises in the template.
This assignment must be turned in (by the deadline indicated). You will send me an email with the subject ``MATH 300 term paper of (write your last name)'' with two files attached: the .tex file and the .pdf file.
The names of the files must be of the following form: yourlastname_draft.tex and yourlastname_draft.pdf. You must turn in a printed copy of your PDF file by the deadline indicated.
| Monday 12/02, noon |
#10 | Make the necessary corrections for your solutions to the various exercises based on the feedback from your previous drafts and improve the layout and presentation of your paper. This assignment must be turned in (by the deadline indicated). You will send me an email with the subject ``MATH 300 term paper of (write your last name)'' with two files attached: the .tex file and the .pdf file.
The names of the files must be of the following form: yourlastname_final.tex and yourlastname_final.pdf. You must turn in a printed double-sided copy of your PDF file by the deadline indicated.
| your final exam date and time |