Math 2221: Linear Algebra and its ApplicationsProfessor Mike Zabrocki 
Description:
In this course, we learn the basic concepts of linear algebra which has
various applications. The computation aspects of linear algebra are emphasised
in Math 2221 and the applications are mostly reserved for Math 2222.
Throughout this
course, you should be able to master performing matrix operations and apply
them to solve linear systems. In addition, we cover the following topics:
Linear transformations, matrix operations, determinants, vector spaces, eigenvalues and
eigenvectors. Applications will be introduced as time permits. 

three dimensional graphics requires lots of linear algebra 
Quizzes (best 5 of 6) 
50% 
Midterm 
20% 
Final exam  30% 
Lecture Schedule 
Topics 
Remarks 
Friday, January 4 
row reduction, 2 and 3d geometry, section 1.1, 1.2 

Monday, January 7 
row reduction section 1.2 

Wednesday, January 9 
vectors, matrix equations, section 1.3, 1.4 

Friday, January 11 
section 1.5 solution sets to equations 
Quiz 1 
Monday, January 14 
section 1.7 linear independence 
return Quiz 1 
Wednesday, January 16 
linear independence 

Friday, January 18 
section 1.7 linear independence 
Quiz 2 
Monday, January 21 
section 1.8 linear transformations 

Wednesday, January 23 
section 1.9 matrix linear trans, 11 and onto 
return Quiz 2 
Friday, January 25 
section 2.1, 11 and onto 

Monday, January 28 
section 2.2 transpose, matrix multiplication 

Wednesday, January 30 
section 2.3, 2.4invertible matrices 

Friday, February 1 
class cancelled due to snow 

Monday, February 4 

quiz 3 
Wednesday, February 6 
section 2.4 block matricies 
return quiz 3 
Friday, February 8 
section 2.5 LU decomposition 

February 11,13,15,18 
Reading week/family day 
no class 
Wed, February 20 
section 3.1 determinants 

Fri, February 22 
yes, there is a ... 
Midterm 
Mon, February 25 
section 3.2,3.3 determinants, Cramer's rule 

Wed, February 27 
section 3.2,3.3 determinants 
return midterm 
Fri, February 29 
section 3.2,3.3 determinants 

Mon, March 3 
section 4.1, vector spaces 

Wed, March 5 
section 4.1, vector spaces 

Fri, March 7 

quiz #4 
Mon, March 10 
section 4.2, column and null space 
return quiz 4 
Wed, March 12 
section 4.3 linear independence, span 

Fri, March 14 
section 4.3, 4.4 basis 

Mon, March 17 
section 4.4 more bases 

Wed, March 19 

quiz #5 
Fri, March 21 
Good Friday 
no class 
Mon, March 24 
section 4.5, 4.6 dimension and row space 
return quiz #5 
Wed, March 26 
section 4.7 change of basis 

Fri, March 28 
section 5.1, 5.2 eigenvalues, eigenvectors 

Mon, March 31 
section 5.2, 5.3 eigenstuff and diagonalization 

Wed, April 2 
quiz #6 

Thurs, April 3 
section 5.3, 5.4 eigenstuff 

Fri, April 4 
Review 
Current Status Effective 11:30 am Friday 1 February 2008, the University has adopted Weather Emergency Procedures at the Keele and Glendon Campuses and at both the Miles S. Nadal Management Centre and Osgoode Hall Law School Downtown Centre. All day classes have been cancelled and examinations postponed. University offices and Libraries are closed. For information about possible cancellation or postponement of a scheduled special event at the University, please telephone the Faculty, department or office responsible. The suspension of normal operations at York University will remain in effect until such time as the University lifts the Weather Emergency status. 