Math 227. Applied Linear Algebra. Fall 2006

• When and where: TT, 11:00am-12:15pm, MSB411
• Textbook: Linear Algebra and Its Applications, Third edition, by David Lay, Addison-Wesley, 2003 ISBN 0-201-70970-8.
• Syllabus (pdf file)
• Review sheets and Exams.
  • Review sheet for Exam 1 (pdf file)
  • Review sheet for Exam 2 (pdf file)
  • Review sheet for Exam 3 (pdf file)
  • Review sheet for the Final Exam (pdf file)
• Handouts:
  • Chapter 1:
    • Handout 1 (Sec 1.1)(pdf file)
    • Handout 2 (Sec 1.2)(pdf file)
    • Handout 3 (Sec 1.3)(pdf file)
    • Handout 4 (Sec 1.4)(pdf file)
    • Handout 5 (Sec 1.5)(pdf file)
    • Handout 6 (Sec 1.7)(pdf file)
    • Handout 7 (Sec 1.8)(pdf file)
    • Handout 8 (Sec 1.9)(pdf file)
  • Chapter 2:
    • Handout 9 (Sec 2.1)(pdf file)
    • Handout 10 (Sec 2.2)(pdf file)
    • Handout 11 (Sec 2.3)(pdf file)
  • Chapter 3:
    • Handout 12 (Sec 3.1 and 3.2)(pdf file)
  • Chapter 4:
    • Handout 13 (Sec 4.1)(pdf file)
    • Handout 14 (Sec 4.2)(pdf file)
    • Handout 15 (Sec 4.3)(pdf file)
    • Handout 16 (Sec 4.4)(pdf file)
    • Handout 17 (Sec 4.5)(pdf file)
    • Handout 18 (Sec 4.6)(pdf file)
  • Chapter 5:
    • Handout 19 (Sec 5.1)(pdf file)
    • Handout 20 (Sec 5.2)(pdf file)
    • Handout 21 (Sec 5.3)(pdf file)
• Recommended (not for grading) problems (I would recommend to go beyond this minimal list and to solve more problems):
  • Chapter 1:
    • 1.1.3, 1.1.5, 1.1.11, 1.1.13, 1.1.15, 1.1.19, 1.1.21, 1.1.23.
    • 1.2.1, 1.2.3, 1.2.7, 1.2.9, 1.2.11, 1.2.19, 1.2.21, 1.2.23.
    • 1.3.5, 1.3.7, 1.3.9, 1.3.11, 1.3.13, 1.3.15, 1.3.17, 1.3.25.
    • 1.4.1, 1.4.3, 1.4.7, 1.4.11, 1.4.15, 1.4.17, 1.4.21, 1.4.29.
    • 1.5.1, 1.5.3, 1.5.5, 1.5.7, 1.5.11, 1.5.15, 1.5.17, 1.5.29.
    • 1.7.1, 1.7.3, 1.7.5, 1.7.9, 1.7.11, 1.7.21, 1.7.23, 1.7.31.
    • 1.8.1, 1.8.3, 1.8.9, 1.8.11, 1.8.13, 1.8.17, 1.8.19, 1.8.21.
    • 1.9.1, 1.9.3, 1.9.5, 1.9.15, 1.9.17, 1.9.21, 1.9.23, 1.9.35.
  • Chapter 2:
    • 2.1.1, 2.1.3, 2.1.5, 2.1.9, 2.1.15, 2.1.17, 2.1.23, 2.1.33.
    • 2.2.1, 2.2.3, 2.1.5, 2.2.7, 2.2.11, 2.2.15, 2.2.33, 2.2.35.
    • 2.3.1, 2.3.5, 2.3.7, 2.2.13,2.2.15, 2.3.17, 2.3.21, 2.2.27.
    • 2.4.1, 2.4.3, 2.4.9, 2.4.13,2.4.15, 2.4.21 .
    • 2.5.1, 2.5.3, 2.5.5, 2.5.7, 2.5.9, 2.5.11, 2.5.13, 2.5.15.
    • 2.8.7, 2.8.11, 2.8.15, 2.8.17, 2.8.19, 2.8.23, 2.8.25, 2.8.35.
    • 2.9.3, 2.9.5, 2.9.9, 2.9.11, 2.9.13, 2.9.15, 2.9.19, 2.9.21.
  • Chapter 3:
    • 3.1.1, 3.1.3, 3.1.9, 3.1.11, 3.1.15, 3.1.17, 3.1.19, 3.1.23.
    • 3.2.1, 3.2.3, 3.2.7, 3.2.9, 3.2.11, 3.2.13, 3.2.19, 3.2.29.
    • 3.3.1, 3.3.3, 3.3.5, 3.3.7, 3.3.9, 3.3.11, 3.3.13, 3.3.15.
  • Chapter 4:
    • 4.1.3, 4.1.5, 4.1.7, 4.1.9, 4.1.11, 4.1.15, 4.1.17, 4.1.21.
    • 4.2.1, 4.2.3, 4.2.5, 4.2.9, 4.2.15, 4.2.17, 4.2.27, 4.2.29.
    • 4.3.3, 4.3.7, 4.3.9, 4.3.11,4.3.15, 4.3.17, 4.3.19, 4.3.23.
    • 4.4.1, 4.4.3, 4.4.5, 4.4.7, 4.4.9, 4.4.11, 4.4.13, 4.4.19.
    • 4.5.1, 4.5.3, 4.5.7, 4.5.9, 4.5.11, 4.5.13, 4.5.21, 4.5.23,
    • 4.6.3, 4.6.5, 4.6.7, 4.6.9, 4.6.11, 4.6.13, 4.6.15, 4.6.19
    • 4.7.1, 4.7.3, 4.7.5, 4.7.7, 4.7.9, 4.7.13
  • Chapter 4:
    • 5.1.1, 5.1.3, 5.1.7, 5.1.9, 5.1.15, 5.1.17, 5.1.19, 5.1.23.
    • 5.2.1, 5.2.3, 5.2.9, 5.2.11, 5.2.17, 5.2.19, 5.2.23, 5.2.27.
    • 5.3.1, 5.3.3, 5.3.5, 5.3.15, 5.3.17, 5.3.25, 5.2.27, 5.2.29.
• Graded Homework assignments (A random selection of problems will be graded):
  • HW 1.
    • Problems 1.1.14, 1.1.16, 1.1.20, 1.2.12, 1.2.20, 1.2.26, 1.3.14, 1.3.18, 1.3.26, 1.4.14, 1.4.16, 1.4.22, 1.5.6, 1.5.16, 1.5.20, 1.7.12, 1.7.18, 1.7.32, 1.8.2, 1.8.4, 1.8.20, 1.9.2, 1.9.20, 1.9.22. Due on Sep 26.
  • HW 2.
    • Problems 2.1.10, 2.1.12, 2.2.32, 2.2.34, 2.3.8, 2.3.14, 2.4.8, 2.4.10, 2.4.14, 2.5.4, 2.5.14, 2.5.24, 2.5.25, 2.8.18, 2.8.24, 2.8.26, 2.9.10, 2.9.14, 2.9.16. Due on Oct 19.
  • HW 3.
    • Problems. 3.1.2, 3.1.14, 3.1.22, 3.2.8, 3.2.20, 3.2.24, 3.2.40, 3.3.2, 3.3.8, 3.3.12. Due on Oct 26.
  • HW 4.
    • Problems. 4.1.6, 4.1.8, 4.2.12, 4.2.28, 4.3.16, 4.3.20, 4.4.8, 4.4.10, 4.5.6, 4.5.12, 4.5.22, 4.6.10, 4.6.14. Due on Nov 16.
  • HW 5 (Optional).
    • Problems. 5.1.14, 5.1.30, 5.2.12, 5.2.24, 5.3.18, 5.3.24. If you choose to turn it in, the date is December 7
• Tentative schedule Most probably it will be changed depending on our pace and other reasons. I am still providing a tentative schedule for your convenience.

  date	Section	HW
  Tue Aug 29	1.1
  Thu Aug 21	1.2
  Tue Sep 5	1.3
  Thu Sep 7	1.4
  Tue Sep 12	1.5
  Thu Sep 14	1.7
  Tue Sep 19	1.8, 1.9
  Thu Sep 21	2.1
  Tue Sep 26	2.2	HW 1 is due
  Thu Sep 28	2.3
  Tue Oct 3	EXAM 1
  Thu Oct 4	2.4
  Tue Oct 10	2.5
  Thu Oct 12	2.8
  Tue Oct 17	2.9
  Thu Oct 19	3.1, 3.2	HW2 is due
  Tue Oct 24	3.3
  Thu Oct 26	4.1	HW3 is due
  Tue Oct 31	4.2
  Thu Nov 2	Exam 2
  Tue Nov 7	4.3
  Thu Nov 9	4.4, 4.5
  Tue Nov 14	4.6
  Thu Nov 16	4.7	HW4 is due
  Tue Nov 28	5.1
  Thu Nov 30	Exam 3
  Tue Dec 5	5.2
  Thu Dec 7	5.3	Optional HW5 is due

• Linear Algebra Journals:
  • Linear Algebra and its Applications
  • SIAM Journal On Matrix Analysis
  • Numerical Linear Algebra with Applications
  • Linear and Mulitinear Algebra
  • The ELECTRONIC Journal of LINEAR ALGEBRA
  • Operators and matrices

News Table

• Recent Advances in Matrix and Operator Theory, Birkhauser, December 2007
  
• Hans Schneider's 80th Birthday Celebration at UConn
  
• Calls for papers:
  • Numerical Linear Algebra in Signals, Systems and Control, To be published by Springer.
  • Matrices with quasiseparable rank structure, Special LAA issue
  • Georg Heinig memorial volume
  to be published with Birkhauser Verlag.
  • Matrix Methods: Theory and Algorithms , to be published with World Scientific.
  
• Structured Matrices Community

• Georg Heinig web page
  

• IWOTA 2005 at U Conn, Storrs
  • Pictures from the conference
  
• What's Cool