Math 127

Applied and industrial algebra (Math 127), Spring 2023

MW 10:30-11:45am (Sec. 01, code 22180)

Last update of this page: Thu May 18, 3:45pm

Click here for the Math 127 handouts of the day

Announcements:

Final exam, Mon May 22, 9:45am, in our usual room.
The course notes can always be found here at the top of the page. (Last revision: Fri May 12, 9:00am.)
Permalinks for the course:
- Class Gradescope page
- How to get started on Gradescope (includes several useful videos)
- The Gradescope mobile app for scanning documents into Gradescope using your smartphone
- Older tips for scanning documents into Gradescope
- YouTube playlist for archived lectures
- Class Canvas page (not often used)
Our weekly problem sessions will be held online every Friday, from 12:30-2:30pm, starting Fri Feb 03. We'll use the same Zoom link that we use for office hours.
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.

Course notes:

Course notes.

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

Model for how the outline for PS01 is supposed to go.

Background: Writing proofs (optional).

Topics for exams:

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

Sample exams:

Exam 1, Exam 2, Exam 3.

Old samples (the ones used in YouTube exam run-throughs): Exam 1, Exam 2, Exam 3, Final exam.

Exams from this semester:

None yet.

Recorded lectures from Spring 2021:

Click on the link in the "Sections covered" column for a copy of the slides for the day; click on links in "Extra slides" for other stuff displayed that day; and click on the link in the "Video" column to watch the lecture on YouTube.

Date	Sections covered	Extra slides	Video
Wed Jan 25	Intro, 1.1-1.2, 2.1-2.2		Video
Mon Jan 30	2.3-2.4		Video
Wed Feb 01	2.5-2.6		Video
Mon Feb 06	3.1		Video
Wed Feb 08	3.2-3.3		Video
Mon Feb 13	3.4-3.5		Video
Wed Feb 15	3.6, 4.1		Video
Mon Feb 20	4.2-4.3		Video
	Sample exam 1	Sample in video	Video
Mon Feb 27	5.1-5.3		Video
Wed Mar 01	5.3-5.5		Video
Mon Mar 06	5.5		Video
Mon Mar 06-Wed Mar 08	5.6, 6.1		Video
Wed Mar 08-Mon Mar 13	6.2-6.3		Video
Mon Mar 13	6.4		Video
Wed Mar 15	7.1-7.2		Video
Mon Mar 20	7.3		Video
Sample exam 2			Video
Mon Apr 03	7.3: 7.3, 7.3-7.5		Video 1, Video 2
Wed Apr 05	7.4-7.5: 7.3-7.5, 7.5-7.6		Video 1, Video 2
Mon Apr 10	7.6-7.7: 7.5-7.6, 7.6-8.1		Video 1, Video 2
Wed Apr 12	8.2-8.3		Video
Mon Apr 17	8.4: 8.4-8.5		Video
Wed Apr 19	8.5: 8.4-8.5, 8.5, 9.2		Video 1, Video 2
Mon Apr 24	9.2-9.4: 8.5, 9.2, 9.3-9.5		Video 1, Video 2
Wed Apr 26	9.4-9.5: 9.3-9.5		Video
Sample exam 3			Video
Wed May 03	10.1-10.3: 10.1-10.3, 10.3, 11.2		Video 1, Video 2.
Semester review (minus 11.2-11.3)			Video
Sample final exam (now with FFT material)			Video 1, NEW: FFT problem

Problem sets:

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	Outline defns from	Due date	Last revision due	Problems to turn in
PS00	n/a	n/a	Mon Jan 30	n/a	See handout.
PS01	Wed Feb 01	2.1-2.4	Mon Feb 06	Mon Apr 10	2.1.2, 2.1.4, 2.2.2, 2.2.4, 2.3.4(a,b), 2.4.1(c,f), 2.4.2(b,e).
PS02	Wed Feb 08	2.5-2.6, 3.1	Mon Feb 13	Mon Apr 10	2.5.1(d,e), 2.6.4, 2.6.6, 3.1.4, 3.1.5, 3.1.6, 3.1.10.
PS03	Wed Feb 15	3.2-3.5	Mon Feb 20	Mon May 15	3.2.1(f), 3.2.4(d), 3.2.5(e), 3.3.1(c,g), 3.3.3, 3.3.5(a,c), 3.4.1(d), 3.4.2(e), 3.5.4(b).
PS04	Wed Mar 01	3.6, 4.2, 5.3	Mon Mar 06	Mon Apr 10	3.5.10(a,b), 3.5.11(b), 3.6.1(c,f), 4.2.5, 5.3.1, 5.3.3, 5.3.9.
PS05	Wed Mar 08	5.4-5.6	Mon Mar 13	Mon May 15	5.4.4, 5.5.1, 5.5.2(b), 5.5.6(c), 5.5.7(c), 5.6.1, 5.6.3.
PS06	Wed Mar 15	6.1-6.4	Mon Mar 20	Mon May 15	6.2.1, 6.2.3, 6.3.2, 6.3.3, 6.3.5, 6.3.6, 6.4.3.
PS07	Wed Apr 05	7.1-7.3	Mon Apr 10	Mon May 15	7.1.2, 7.2.1, 7.2.3, 7.2.4(a,b), 7.3.2(b,d), 7.3.3(c,d), 7.3.4.
PS08	Wed Apr 12	7.4-7.6	Mon Apr 17	Mon May 15	7.4.1, 7.5.7, 7.5.9, 7.6.1, 7.6.5, 7.6.7, 7.6.8.
PS09	Wed Apr 19	8.1-8.5	Mon Apr 24	Mon May 15	7.7.1, 8.2.1, 8.3.3, 8.3.4, 8.4.5, 8.5.7, 8.5.9.
PS10	Thu May 04	9.2-9.4, 10.1-10.3	Tue May 09	TBA	9.2.2, 9.3.2, 9.4.1(b,c), 10.1.2, 10.2.1, 10.3.1, 10.3.4.
PS11	Thu May 11	11.2-11.3	Mon May 15	TBA	11.2.2, 11.3.1, 11.3.2.

Reading assigned in course:

Course notes: 1.1, 1.2, 1.3.1-1.3.4, 1.3.5; 2.1-2.6, 3.1-3.6, 4.1-4.2, 5.1-5.6, 6.1-6.4, 7.1-7.7, 8.1-8.5, 9.2-9.5, 10.1-10.3, 11.1-11.3.

Instructor: Tim Hsu.
Required texts: 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 (Mon May 22, 9:45am-noon).
Grading: Final course grades consist of:

Homework: 20%

Exam 1: 14%

Exams 2 & 3: 18% each

Final: 30%

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