Math 129B: Linear algebra II

Spring 2012

Sweeney Hall 240, MW 10:30am--11:45am (Sec 02, code 29605)

Last update of this page: Thu Aug 16, 2012

Announcements:

• Final exam, Fri May 18.

• At last, my schedule is up! Click here to see office hours, etc.

Administrative handouts:

Course notes:

Course content:

• Chapter 1: Axioms of a vector space.
• Chapter 3: Dimension and its interpretations; The contraction algorithm.
• Chapter 6: Summary of supplemental theorems, matrix of a linear function; The long theorem.
• Chapter 8: The singular value decomposition.

Topics for exams:

Sample exams:

Problem sets:

HW	Outline due	Due date	Last revision due	Problems
PS00	None	Mon Jan 30	WED FEB 15	See handout.
PS01	Wed Feb 01	Mon Feb 06	WED MAR 14	See handout.
PS02	Wed Feb 08	Mon Feb 13	WED MAR 14	See handout.
PS03	Wed Feb 15	Mon Feb 27	Wed Mar 14	See handout.
PS04	Wed Feb 29	Mon Mar 05	Wed Apr 18	See handout.
PS05	Wed Mar 07	Mon Mar 12	Wed Apr 18	See handout.
PS06	Wed Mar 14	Wed Mar 21	Wed Apr 18	See handout.
PS07	Wed Apr 04	Mon Apr 09	Mon May 14	See handout.
PS08	WED APR 11	MON APR 16	MON MAY 14	See handout.
PS09	Wed Apr 18	Mon Apr 30	Mon May 14	See handout.
PS10	Wed May 02	Mon May 07	TBA	See handout.
PS11	Wed May 09	Mon May 14	TBA	See handout.

Reading assigned in course:

Review reading, if necessary (in Messer): 2.1-2.3, 5.1-5.2, 7.2-7.4.

Proof handout: Parts I-II, Part III as needed.

Other useful links:

• Examples showing that the 8 axioms for a vector space are independent, with the possible exception of axiom 3, depending on how you look at it.
• 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.
  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.
• Free downloads: Adobe Acrobat (for reading .pdf files)

• Instructor: Tim Hsu.
• Required text: Linear Algebra: Gateway to Mathematics, Robert Messer.
• Homework: Outline and final version due once each week, except in exam weeks. For details, see the handout on homework in Math 129B.
• Exams: Three in-class 50-minute exams, plus 2 hour, 15 min final exam (Fri May 18, 9:45am-noon).
• Grading: Final course grades consist of:
  

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