Math 211-02, Linear Algebra, Fall 2009

Instructor: Vladimir Bolotnikov

Office: Jones 129, Tel:221-2009, Fax: 221-2988

E-mail: vladi@math.wm.edu, http://www/math.wm.edu/~vladi

Class meetings: TR, 2:00 - 3:20 p.m. in Jones 301

Office hours: TR 12:00 - 1:30 p.m. or by appointments

Course Description

    Textbook: David C. Lay, "Linear Algebra and its Applications",

    Material to be covered: Sections 1.1 through 6.5, skipping Sections 
    1.6, 1.10, 2.4 - 2.7, 4.8, 4.9, 5.5 - 5.8

    Grading:  The mid-term exam (tentatively on Thursday 10/8) is worth 50 points, 
              the final (12/11, 2:00-5:00 p.m. in Jones 301) is worth 
              100 points, each quiz is worth 10 point (but only the best 
              five quiz scores will be taken into account), 
              so the maximal possible score is 200  points.

 There will be NO CURVING. There will be NO MAKE-UP exams or quizzes. 

Grade computation:  A >= 93 % > A- >= 90 % > B+ >= 87 % > B >= 83 % > B- >= 80 % > C+ >= 77 %
                    > C >= 73 % > C- >= 70 % > D+ >= 67 % > D >= 63 % >=D-=60% > F.


Homework assignments:

Section 1.1: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27.

Section 1.2: 1, 3, 5, 7, 9, 11, 13, 17, 21, 23.

Section 1.3: 5, 9, 11, 13, 21.

Section 1.4: 1, 3, 5, 7, 9, 11, 13, 15, 21, 25, 23, 29.

Section 1.5: 7, 9, 11, 13, 17, 21, 23, 27, 35.

Section 1.7: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21.

Section 1.8: 1, 3, 5, 7, 9, 11, 17, 19, 21, 29, 31, 33.

Section 1.9: 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23.

Section 2.1: 5, 7, 9, 11, 13, 15, 17, 23, 25, 31.

Section 2.2: 1, 3, 5, 9, 11, 13, 15, 17, 19, 29, 31, 33, 35.

Section 2.3: 1, 3, 5, 11, 13, 15, 17.

Section 2.8: 1, 3, 5, 11, 13, 15, 17, 19, 21, 23, 25.

Section 2.9: 3, 5, 9, 11, 13, 15, 17.

Section 3.1: 1, 5, 7, 9, 11, 13.

Section 3.2: 1, 3, 9, 5, 7, 11, 15, 17, 19, 21, 25, 29, 31, 33, 35, 39.

Section 3.3: 1, 7, 9.

Section 4.1: 1, 3, 5, 7, 9, 11, 15, 17, 21, 23.

Section 4.2: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 31.

Section 4.3: 1, 3, 5, 7, 9, 13, 15, 23, 33.

Section 4.4: 1, 3, 5, 7, 9, 11, 13, 19, 25, 27, 29.

Section 4.5: 1, 3, 7, 9, 11, 13, 15, 17, 19, 27.

Section 4.6: 1, 3, 5, 7, 9, 11, 13, 15, 17.

Section 4.7: 1, 5, 7, 9.

Section 5.1: 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 25, 27.

Section 5.2: 1, 3, 5, 9, 11, 15, 17, 21.

Section 5.3: 1, 5, 7, 9, 11, 13, 17, 21, 23, 27.

Section 5.4: 1, 3, 5, 9, 19, 21, 23, 25.

Section 6.1: 1, 3, 5, 7, 9, 15, 17, 19, 27, 31.

Section 6.2: 1, 3, 7, 11, 17, 23, 29.

Section 6.3: 1, 3, 5, 7, 13, 15, 21.

Section 6.4: 1, 3, 5, 9, 17.




Midterm: 1) Row reduction algorithm, 
         2) linear systems (consistency, inconsistency,
            solution of linear systems in the vector-parametric form)
         3) linear span, spanning property,
         4) linear independence
         5) linear transformations (standard matrix, onto, one-to-one, 
            composition, invertibility),
         6) inverse matrix, 
         7) properties of determinants, the Cramer's rule.


Some recommended exercises:

Section 1.5: 7, 9, 11, 19, 23, 29, 31.

Section 1.7: 5, 13, 21, 27.

Section 1.9: 7, 9, 17, 19, 21, 23.

Section 2.1: 9.

Section 2.2: 7, 13, 17, 19, 31.

Section 2.3: 7, 11, 13, 15, 17, 21, 23, 33.

Section 3.1: 1, 9, 13.

Section 3.2: 1, 3, 15, 17, 19, 21, 25, 27, 29, 39.

Section 3.3: 1, 3, 5, 7, 11.