MAT 320 Foundations of Mathematics

(last update 12/9/17, 12:15 pm)

Our final exam takes place on Tuesday, December 12, from 3:00 - 5:00 pm, in Room 163 of Adel Mathematics. It is comprehensive, covering all material discussed in class or appearing on exams, problem sets, or in assigned exercises from the text, and including material on supplementary handouts. Here is an outline of study topics:

Review outline for final exam preparation

Students may bring 3-4 sheets of notes for use during the final exam. There will be a review session on Monday, December 11, from 4:30 - 6:00 pm in Room 163. I will have office hours from 3:00 - 4:30 om Monday 12/11 and 1:00 - 2:00 pm on Tuesday 12/12. Graded homework and late homework will be available from my office from Monday morning (or over the weekend if you are in the building).

Please complete the Student Opinion Survey before Sunday 12/10, 11:59 pm: https://nau.edu/course_evals

Here are the definitions of maximal and minimal element:

Here is the handout on topological spaces that I handed out along with HW #6:

Finite topological spaces

 

Reminder to students of the late work policy: if in preparing for the exam you wrote up solutions to exercises or problem sets that you didn't hand in earlier, you can hand them in now (or anytime during the semester) for half credit (e.g., up to 15 points for problem sets). If you want these revised scores to be reflected in your mid-term grade (which I will submit on Friday), please give the work to me by Thursday.

 

Here is the list of inference rules that I handed out in class. They will be discussed in detail soon:

 

Syllabus and department policies:

Link to the BBLearn page (where I post solutions and periodically update the course grades).

BBLearn login page

Problem Sets - see BBLearn page.

Exercises (from Smith, Eggen,St. Andre, A Transition to Advanced Mathematics, 7th edition)

1.1 / 1 (any 4 parts), 2 (any four parts including j), 3b,c,g, 7,9a,c, 10, 11 (any 3 parts)

1.2 / 1c-f, 3, 8a,c,e, 10a,c,h,j, 12a,b,d, 17.

1.3 / 1a,b,e,f, 2a,b,e,f, 3, 6b,c,d, 10,12a.

Exercises from 1.1, 1.2, and 1.3 are due Wednesday 9/6, at the end of class.

1.4 / 5a,c,e,h,6d,7a,k,9a.

1.5 / 1b,3d,10.

1.6 / 1b,e, 2a, 4b,d, 5a, 6i.

Exercises from 1.4, 1.5, and 1.6 are due Monday 9/18, at the end of class.

2.1 / 1a,c, 3,4,5,6,9,13,15,17. (Solutions: 5i, 13)

2.2 / 1b,c,d,h, 2a,d, 3a,e,I, 6d, 10a,c, 11a,c,d, 12, 13b, 14, 15a, 16a,b. (Solutions: 12a, 14, 16a)

Exercises from 2.1 and 2.2 are due Monday 9/25, at the end of class.

2.3 / 1a,c,d,h,6a,8a,10a,12,16.

2.4 / 6a,c, 7a,n, 8a.

Exercises from 2.3 and 2.4 listed above are due Wednesday, 10/4, at the end of class.

2.4 / 1,2,4d,5g,6b,10

2.5 / 1a,,5a,d,6d,8,9.

Exercises from 2.4 and 2.5 listed above are due Wednesday, 10/11, at the end of class.

3.1 / 1,2g,3g,4g,5a,e,g,h,7,8b,9a,c,12

3.2 / 1b,g,i,k,5a-g,8a,c,9c,11,13c

Exercises from 3.1 and 3.2 are due Wednesday 10/18.

3.3 / 2a,b,c,e,3a,d,f,7,8,14.

3.4 / 1a,c,d,g, 2,3b, 5,8,9,14,15. (Solutions: 15)

Exercises from 3.1 and 3.2 are due Monday 11/6.

4.1 / 1a,c,f,g, 4a,e, 5, 6a, 7, 8, 9d, 10, 11a,b,c,f, 18.

4.2 / 1b,j, 3a, 4, 8,9 , 13, 14a,c,e,15 (Solutions : 9, 11, 15)

4.3 / 1a,c,h, 3, 5, 6, 8, 11d.

Exercises from 4.1, 4.2, and 4.3 are due Monday, 11/27.

4.4 / 1a,d, 2b,c, 3b, 5b, 6, 9b,e,f,j.

4.5 / 1,5,7, 8a,b, 9, 10b,c, 12, 13.

5.1 / 3, 4, 11.

5.2 / 3, 7, 8.

5.3 / 2, 7, 12.

5.4 / 3, 5, 10, 14.

5.5 / 7.

Exercises from 4.4, 4.5, and Chapter 5 were not collected or graded.

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