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 3-d 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, 1-1 and onto |
return Quiz 2 |
| Friday, January 25 |
section 2.1, 1-1 and onto |
|
| Monday, January 28 |
section 2.2 transpose, matrix multiplication |
|
| Wednesday, January 30 |
section 2.3, 2.4-invertible 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. |
