Linear Algebra 2270 Spring 2010

2270-2 meets at 4:35pm-6:15pm TH in JTB130.
Updated: Sunday May 16: 15:15PM, 2010   Today: Monday November 20: 23:22PM, 2017

2270-2 Spring 2010. Due Dates, Extra Credit, References.

  1. 2270-2 [4:35pm] due dates for submitted work Due dates updated daily
  2. 2270 [4:35pm] Extra Credit. Cancel those zeros and fifty-fives! Extra credit problems
  3. Notebook computer 2270 lecture slides and documents. Includes 2250 links. Click here

Maple Links

Offer from Waterloo Maple to buy a copy of maple 13 for your OS/X, Linux or MS-Windows home computer or laptop.
  • Maple 13 Offer S2010: Click here
  • Details for maple 12 under unix, windows, OS/X How to use maple 12 (06 Jan 2010, 2.0K txt)
  • How to do maple graphics using a modem or dsl Low speed internet and maple graphics (06 Jan 2010, 4.0K txt)

    2270-2 S2010. Reading, Syllabus, Roster.

    1. Reading Schedule: Reading Bretscher
    2. Recommended Problems: Problems for Reading
    3. Gustafson's 2270-2 [4:35pm] course syllabus Spring 2010
      syllabus (06 Jan 2010, 137K pdf)
      Linear Algebra, Otto Bretscher
      Print locally or use Adobe AcroRead [acrobat reader]
    4. Gustafson's 2270-2 [4:35pm] Roster with Majors Spring 2010
      Roster (18 Jan 2010, 19K pdf)
    5. 2270 presentation suggestions for submitted work
      How to improve your written work (05 Jan 2010, 42K pdf)

    2270-2 Maple Spring 2010

    1. 2270-2 [4:35pm] maple lab 1 Click Here (05 Jan 2010, 83K pdf)
    2. 2270-2 [4:35pm] maple lab 1 code examples Click Here (17 Aug 2007, 167 text)
    3. 2270-2 [4:35pm] maple lab 2 Click Here (05 Jan 2010, 85K pdf)
    4. 2270-2 [4:35pm] maple lab 2 code examples Click Here (17 Aug 2007, 1.6K text)

    2270-2 Midterm Exams Spring 2010


    Exam 1 on Thursday 25 February
    Solution key for exam 1 (08 Mar 2010, 409K pdf)
    Sample Exam 1 [no solutions] (15 Feb 2010, 52K pdf)
    Sample Exam 1 solutions (23 Feb 2010, 372K pdf)
    Exam 2 on Thursday 22 April
    Sample exam 2 for Spring 2010. (14 Apr 2010, 65K pdf)
    Roster of Contributors for Sample Exam 2 Solutions. (14 Apr 2010, 20K pdf)
    Sample Exam 2 solutions problem 1 part 1 (20 Apr 2010, 239K jpg)
    Sample Exam 2 solutions problem 1 part 2 (20 Apr 2010, 56K pdf)
    Sample Exam 2 solutions problem 2 (22 Apr 2010, 216K pdf)
    Sample Exam 2 solutions problem 3 (20 Apr 2010, 358K pdf)
    Final Exam on Tuesday 4 May
    Final exam study guide S2010 (27 Apr 2010, 3.8K txt)
    Final Exam solution key S2010 (16 May 2010, 876K pdf)

    Exam Preparation References

    Fall 2008 Exams.
    There are currently no solutions for the F2008 exams. Solutions were in xerox form and not posted on the web.
    1. Exam 1 F2008
      Exam 1, F2008 (06 Jan 2010, 36K pdf)
    2. Exam 2 F2008
      Exam 2 takehome, F2008 (08 Nov 2008, 65K pdf)
    3. Exam 3 F2008
      Exam 3 sample, F2008 (23 Nov 2008, 73K pdf)
      Exam 3, F2008 (02 Dec 2008, 61K pdf)
    4. Final Exam F2008, a project
      Final Exam Project, F2008 (08 Nov 2008, 82K pdf)
    Fall 2007 Exams .
    1. Exam 1 on 26 Sep 2007
      Sample exam 1, F2007 (19 Sep 2007, 42K pdf)
      Exam 1 key, A. Thaler, 26 Sep 2007
      Thaler's key to exam 1, F2007 (15 Nov 2007, 292K pdf)
      Exam 1 key, M. Saunders, 26 Sep 2007
      Saunders' key to exam 1, F2007 (15 Nov 2007, 214K pdf)
    2. Exam 2 on 31 Oct 2007
      Sample exam 2, F2007 (24 Oct 2007, 45K pdf)
      Exam 2 key, 31 Oct 2007
      Key to exam 2, F2007 (15 Nov 2007, 242K pdf)
    3. Exam 3 on 28 Nov 2007
      Sample exam 3 (15 Nov 2007, 55K pdf)
      Sample exam 3 revised, no determinants (27 Nov 2007, 55K pdf)
      Exam 3 key, 28 Nov 2007
      Key to exam 3, F2007 (03 Dec 2007, 310K pdf)
      Key to exam 3 problem 2, by Andrew Thaler, F2007 (04 Dec 2007, 125K pdf)
    4. Final Exam on 11 Dec 2007, 7:30-10:15am JTB 120
      Final exam, F2007. Key is below. (16 Dec 2007, 59K pdf)
      Key to the final exam, F2007 (16 Dec 2007, 361K pdf)
      Study guide for the final exam S2007 (22 Apr 2007, 3.6K text)
      Study guide for the final exam F2007 (04 Dec 2007, 3.2K text)
      Sample final exam F2007 (04 Dec 2007, 57K pdf)
    Spring 2007 Exams .
    1. Exam 1 S2007
      Study guide S2007 exam 1 /w sample problems (06 Feb 2007, 42K pdf)
      Exam 1 key Spring 2007 (19 Feb 2007, 337K pdf)
      Exam 1, S2004 (03 Feb 2004, 31K pdf)
      Sample In-class exam 1, S2004 (05 Feb 2004, 23K pdf)
    2. Exam 2 S2007
      Sample exam 2, S2007 (09 Mar 2007, 43K pdf)
      Revised Sample Exam 2, S2007 (09 Mar 2007, 43K pdf)
      Exam 2 key Spring 2007 (25 Apr 2007, 332K pdf)
      Exam 2, S2004 (08 Mar 2004, 45K pdf)
    3. Exam 3 S2007
      Sample exam 3, S2007 (08 Apr 2007, 86K pdf)
      Exam 3 key Spring 2007 (25 Apr 2007, 332K pdf)
      Exam 3 study guide, S2004 (12 Apr 2004, 193 text)
    4. Final exam S2007
      Study guide for the final exam S2007 (22 Apr 2007, 3.6K text)
      Grading key for the final exam S2007 (08 May 2007, 449K pdf)
      Sample final S2004 (02 May 2004, 4.7K txt)

    Manuscripts Spring 2010

    These references also appear on the notebook computer link above. Here, the contents are documented, whereas not in the notebook link.
    1. Linear Algebraic Equations manuscript
      Linear algebra, no matrices (01 Feb 2010, 293K pdf)
    2. Vector and matrix manuscript
      vectors and matrices (09 Aug 2009, 267K pdf)
    3. Matrix Equations manuscript
      matrix equations (09 Aug 2009, 163K pdf)
    4. Independence, Rank, Dimension manuscript
      independence (22 Mar 2010, 269K pdf)
    5. Eigenanalysis
      Slides: Fourier's Model and Eigenanalysis (17 Nov 2006, 36K pdf)
      Manuscript: Eigenanalysis S2010 (31 Mar 2010, 345K pdf)
      Manuscript: Eigenanalysis-I S2007 (11 Apr 2009, 203K pdf)
      Manuscript: Eigenanalysis-II S2007 (11 Apr 2009, 166K pdf)
      Manuscript: Advanced linear algebra. Jordan theorem, Cayley-Hamilton, Symmetric matrices, Singular value decomposition. (30 Apr 2010, 213K pdf)

    Slides


      Slides: Linear equations, reduced echelon, three rules (06 Aug 2009, 156K pdf)
      Slides: Linear equations, unique solution case (03 Oct 2009, 86K pdf)
      Slides: Linear equations, no solution case, signal equations (03 Oct 2009, 58K pdf)
      Slides: Linear equations, infinitely many solution case, last frame algorithm (03 Oct 2009, 94K pdf)
      Transparency: Frame sequence and general solution, 3x3 system (28 Sep 2006, 90K pdf)
      Slides: Rank, nullity, elimination algorithm (29 Sep 2009, 112K pdf)
      Slides: 3 possibilities, rank, sytems with symbol k (23 Sep 2009, 100K pdf)
      Beamer Slides: Three possibilities with symbol k (31 Jan 2010, 60K pdf)
      Slides: vector models and vector spaces (03 Oct 2009, 110K pdf)
      Slides: Elementary matrices, rref inverse method (03 Oct 2009, 114K pdf)
      Slides: Pivot method, equivalent bases (02 Oct 2009, 132K pdf)
      Slides: Independence, Vectors spaces, Subspaces (03 Feb 2010, 133K pdf)
      Slides: Linear transformations (03 Feb 2010, 66K pdf)
      Slides: Geometry of linear transformations (03 Feb 2010, 60K pdf)
      Slides: Determinants, Cramer's Rule, adjugate formula (26 Apr 2010, 188K pdf)
      Slides: Eigenanalysis I (01 Apr 2008, 152K pdf)
      Slides: Eigenanalysis II (14 Nov 2007, 124K pdf)
      Slides: Eigenanalysis 2008 (11 Apr 2010, 127K pdf)

    Additional references


      LU decomposition (06 Feb 2007, 57K pdf)
      LU decomposition exercise (06 Feb 2007, 12K pdf)
      Solution to 1.2-42. (30 Aug 2008, 28K pdf)

    Previous Course Fall 2008
    Previous Course Fall 2007
    Previous Course Spring 2007
    Previous Course Spring 2004
    Previous Course Fall 2003
    Link to Department of Mathematics, University of Utah