Math 127

Applied and industrial algebra (Math 127), Spring 2018

MacQuarrie Hall 235, MW noon-1:15pm (Sec. 01, code 28587)

Last update of this page: Mon May 14, 9:45am

Announcements:

The course notes can always be found here at the top of the page. (Last revision: Fri May 11, 9:30am: Ch. 5 done.)
Our weekly sessions will be held every Friday, from 10am-noon, in MacQuarrie Hall 425. Note that the room may be subject to change.
Homework for this class can be submitted either in person or online. If you want to submit a homework assignment online, please submit it via Canvas, which you probably know how to use better than I do. (If you don't, check out the tutorials here; the only part of Canvas we will use is online assignment submission.) If Canvas doesn't know that you're enrolled in this course, please email me at tim.hsu@sjsu.edu, and I'll make that happen ASAP.
If you submit homework online, I will very much appreciate it if you can use a document scanner app to produce a single PDF file instead of lots of jpegs (photos). For most phones, either a document scanner app comes with the phone, or you can get one for free or at least cheap. Specifically:
- If you have an Android phone, click here to see instructions on how to use the Google Drive app as a document scanner.
- If you have an iPhone, click here to see how to use the Apple Notes app as a document scanner.
There are also various free and paid apps for doing document scans; check your phone's app store.
Also, when you name your files, please use the following filename convention. (The convention is shown here for a student named Sarah Jane Smith doing PS01 and submitting in pdf format; please substitute your own name, PSxx, and your file format as appropriate.)
- Outline: PS01-outline-Smith.pdf
- Complete PS01: PS01-Smith.pdf
- Revision number 1: PS01-rev1-Smith.pdf (and similarly for further revisions)
If there's more than one Smith in the class, I'll let you know, and you can use something like PS01-Smith-SJ.pdf.
If you're interested in typesetting math, the system I use to make my handouts is called LaTeX, and it can be downloaded for free (in Windows format) at http://www.miktex.org. If you own a Mac (system OS X) or a Linux computer, you already own a copy of this program, as it's been a standard Unix program for about 20 years. And for our purposes, the key point is that under any system, LaTeX can produce pdf output that is ideal for online homework submission.
LaTeX is well worth learning, if you have some free time; it's used for manuals and technical reports throughout nerd-dom. For self-study, I highly recommend the LaTeX book by Leslie Lamport, which you can purchase here.

FUA (Frequently Used Acronyms):

In the box below are some acronyms that I use all the time, both in class and when grading your work. You are welcome to use them as well.

Administrative handouts:

Course greensheet, Information sheet.

Course notes:

Course notes.

Course mechanics: Homework in Math 127, Check-ins.

Course content:

(Sect. 7A, 7C) Axioms for rings and fields

Background: Writing proofs (optional).

Topics for exams:

Exam 1, Exam 2, Exam 3, Final exam.

Problem sets:

Numbers of the form A.B refer to problem B of Chapter A of Childs. Numbers of the form A.B.C refer to problems in the class notes, and are marked by a link to the class notes.

HW Outline due Due date Last revision due Problems to turn in

PS01 Wed Jan 31 Mon Feb 05 Wed Feb 21 1.1.1, 1.1.2, 3.18 (use naive methods), 3.33(i), 3.34(iv), 3.39(iii), 3.56(ii).

PS02 Wed Feb 07 Mon Feb 12 Wed Mar 21 3.45, 3.58(i), 7.10, 7.12, 7.30, 7.31, 7.35.

PS03 Wed Feb 14 Mon Feb 19 Wed Mar 21 13.5, 13.7(iv), 13.8(ii), 14.5, 14.15, 14.23, 14.26.

PS04 Wed Feb 28 Mon Mar 05 Wed Mar 21 5.13, 5.46, 6.6, 6.17, 6.24, 6.29, 6.51.

PS05 Wed Mar 07 Mon Mar 12 Wed Apr 25 2.3.2(c), 2.3.3(b), 2.3.5(a), 2.4.1, 2.4.2, 2.4.3, 2.4.5.

PS06 Wed Mar 14 Wed Mar 21 Wed Apr 25 2.5.1, 2.5.2, 2.6.1, 2.7.1, 2.7.2, 2.7.3, 2.7.4, 2.7.5.

PS07 Wed Apr 04 Mon Apr 09 Mon May 14 23.3, 23.4, 23.5, 23.7, 23.10, 23.12(iii,iv), 23.14(i,iii).

PS08 Fri Apr 13 Mon Apr 16 Mon May 14 14.46, 3.1.1, 3.2.1, 3.3.2, 3.3.4, 3.4.1.

PS09 Fri Apr 20 Wed Apr 25 Mon May 14 3.4.2, 3.4.3, 3.5.2, 3.5.3, 3.6.1, 3.6.2, 3.7.1.

PS10 Fri May 04 Mon May 07 TBA 11.1, 11.7, 11.9, 11.11, 11.15, 4.2.2, 4.3.1.

PS10 Fri May 11 Wed May 16 TBA 5.1.1, 5.2.1, 5.3.1, 5.4.1, 5.4.2.

Reading assigned in course:

Childs: 3A-3F, 7A, 7C, 13A-13C, 14A-14B; 5A-5B, 5E-5F, 6A-6E, 8A-8B, 8E; 14C, 23A-23B, 23C; 11A-11B, 11C.

Course notes: 1.1-1.4; 2.1-2.7; 3.1-3.7; 4.2-4.3; 5.1-5.4.

Instructor: Tim Hsu.
Required texts: A Concrete Introduction to Higher Algebra, Lindsay N. Childs, 3rd ed., 2009; course notes.
Homework: Outline and final version due once each week, except in exam weeks. For details, see the handout on homework in Math 127.
Exams: Three in-class 75-minute exams, plus 2 hour, 15 min final exam (Wed May 16, 9:45am-noon).
Grading: Final course grades consist of:

Homework: 20%

Exam 1: 14%

Exams 2 & 3: 18% each

Final: 30%

HW	Outline due	Due date	Last revision due	Problems to turn in
PS01	Wed Jan 31	Mon Feb 05	Wed Feb 21	1.1.1, 1.1.2, 3.18 (use naive methods), 3.33(i), 3.34(iv), 3.39(iii), 3.56(ii).
PS02	Wed Feb 07	Mon Feb 12	Wed Mar 21	3.45, 3.58(i), 7.10, 7.12, 7.30, 7.31, 7.35.
PS03	Wed Feb 14	Mon Feb 19	Wed Mar 21	13.5, 13.7(iv), 13.8(ii), 14.5, 14.15, 14.23, 14.26.
PS04	Wed Feb 28	Mon Mar 05	Wed Mar 21	5.13, 5.46, 6.6, 6.17, 6.24, 6.29, 6.51.
PS05	Wed Mar 07	Mon Mar 12	Wed Apr 25	2.3.2(c), 2.3.3(b), 2.3.5(a), 2.4.1, 2.4.2, 2.4.3, 2.4.5.
PS06	Wed Mar 14	Wed Mar 21	Wed Apr 25	2.5.1, 2.5.2, 2.6.1, 2.7.1, 2.7.2, 2.7.3, 2.7.4, 2.7.5.
PS07	Wed Apr 04	Mon Apr 09	Mon May 14	23.3, 23.4, 23.5, 23.7, 23.10, 23.12(iii,iv), 23.14(i,iii).
PS08	Fri Apr 13	Mon Apr 16	Mon May 14	14.46, 3.1.1, 3.2.1, 3.3.2, 3.3.4, 3.4.1.
PS09	Fri Apr 20	Wed Apr 25	Mon May 14	3.4.2, 3.4.3, 3.5.2, 3.5.3, 3.6.1, 3.6.2, 3.7.1.
PS10	Fri May 04	Mon May 07	TBA	11.1, 11.7, 11.9, 11.11, 11.15, 4.2.2, 4.3.1.
PS10	Fri May 11	Wed May 16	TBA	5.1.1, 5.2.1, 5.3.1, 5.4.1, 5.4.2.

Homework:	20%
Exam 1:	14%
Exams 2 & 3:	18% each
Final:	30%