MAT 211: Introduction to Linear Algebra
Fall 2013
MAT 211
This is a tentative schedule and will be updated accordingly the progress of the course. It is your responsibilty to check it weekly. The homework assignments due next week as well as the reading will be always up to date.
The problems to submit are in bold letters (remember that you must be able to solve ALL the problems in the list).
Week
HW # Homework
(the problems to submit are in bold letters )
Remarks
8/26 1.1 Introduction to linear systems.
1.2 Matrices, vectors and Gauss-Jordan elimination.
1
5ed:1.1: 12, 16, 18, 20, 34.  Challenge: 44
1.2: 4, 10, 16, ,18, 48, Challenge: 32.

4ed: 12, 16, 18, 26, 32.  Challenge: 42
1.2: 4, 10, 16, 18, 46, Challenge: 30.

Homework 1 is due 9/6 before class (due date update Aug 30th)

NOTE: HW1 was updated in August 27

9/2 1.3 On the solutions of linear systems, matrix algebra.

2
4 and 5ed:
1.3: 4, 8, 10, 18,  20, 22, 24, 28, 29, 30, 32, 36, 46.
Challenge: 52
9/2 Labor day - no class
Homework 1 is due 9/6.
Homework 2 is due 9/13.
NOTE:  Homework 2, and 3 every are due on Friday before class.
9/9 2.1 Introdution to linear transformations and their inverses.
2.2 Linear transformations in geometry.

3 4ed. and 5ed
2.1: 2, 4, 6, 8, 20, 24, 28,  32, 38, 42.
Challenge: 13 14, 34, 40.
2.2: 2,  6, 10, 14, 18, 20, 28, 30. Challenge: 38

Homework 3 is due 9/20.
16/9 2.3 Matrix products
2.4 The inverse of a linear transformation.

4 4ed
2.3: 4, 14, 36, 58
2.4: 2, 10, 32, 34, 38, 42.

5ed
2.3: 2,14, 34, 56
2.4: 2, 8, 32, 34,38, 42
NOTE:  Homework 4 to 13 are due Monday before class (Ivan, our grader will collect at the classroom door right before  class). Homework 14 is due the last day of class.

During this week we willl do some review for the midterm.

A practice midterm with solutions is here.
Homework 4 is due  MONDAY 9/30.

9/23 3.1 Image and kernel of a linear transformation.
Review
3.2 Subspaces of Rn, bases and linear independence.

5
4ed
3.1: 2, 6, 20, 24, 30, 34.
3.2: 2,10,16, 24,28

5ed:
3.1: 4, 8, 22, 24, 30, 34.
3.2: 2,12,14, 26,30

Homework 5 is due  Monday 10/7.

9/30 3.3 The dimension of a subspace of Rn.

6
4ed and 5ed:
3.3: 6, 22, 26, 28, 30, 32, 38.
Challenge: 74 (see explanation right before exercise 69)
Homework 6 is due  Monday 10/14
Monday 9/30: Midterm!
Midterm Topics: Chapter 1, Chapter 2 and Section 3.1.
A midterm checklist is here.
A sample midterm is
4ed: 1.1 25, 2.2 26.b, 2.3 54, 3.1 24
5ed: 1.1-19, 2.2 26.b, 2.3 54, 3.1 24(The midterm will consist in three problems, each with several items.).

10/7 3.4 Coordinates
4.1 Introduction to linear spaces
7
4ed
3.4: 2, 8, 16, 18, 20, 22,  2840,  42,  44.
4.1: 8, 16, 20, 22, 28, 32.
Challlenge: 4.1.38

For problems 20 and 22, only parts a and c  are required.

5ed:
3.4: 4, 6, 14, 18, 20, 22, 28, 40, 42, 44.
4.1: 8, 16, 20, 22, 28, 32.
Challlenge: 4.1.38

Homework 7 is due  Monday 10/21

Linear spaces slides are here.
10/14 4.2 Linear transformations and isomorphisms
4.3 The matrix of a linear transformation.
8
4ed and 5ed
4.2: 4,6, 22,24, 26, 52, 54.
4.3: 6, 22, 24, 26, 44, 54, 56, 64.

Challlenge: 4.2.66

 Important announcement: Students whose lastname start with a letter between M and Z must go to lectures in  Lib E4330, at the usual time of the class MWF 12pm.

Homework 8 is due  Monday 10/28
Linear transformations and isomorphisms slides are here.
Matrix of a Linear Transformation slides
are here.
10/21 5.1 Orthogonal projection and orthogonal basis.
5.2 Gram-Schmidt process and QR factorization.
9
4ed and 5ed
5.1: 4, 8, 10, 16, 26, 28.
5.2: 4,6,8, 18,20,32, 34, 36,38.

Solutions of homework 3 and homework 6.
Orthogonal projection and orthogonal basis slides are here.
Homework 9 is due  Monday 11/4

10/28 Review

10
4ed and 5ed
5.3: 6, 14, 22, 33, 34, 36, 40, 52,54, 56, 58, 60.

Homework 10 is due  Monday 11/11.
Solutions of homework 4, 5, and 7 are here.

 Sample midterm  A sample midterm consist in four of the above problems. 4ed and 5ed 3.2.29, 3.3.29, 3.4.27, 4.1.3, 4.1.30 , 4.2.7, 4.2.29, 4.3.13, 5.1.27, 5.2.21.

11/4 5.3 Orthogonal transformations and orthogonal matrices.
6.1 Introduction to determinants.

11
4ed and 5ed
6.1: 4, 6, 12, 14, 22, 24, 28, 32, 34.
Homework 11 is due  Monday 11/18
Monday 11/4: Midterm! The midterm will take lace in Simons Center 103 for ALL students (regardless where they take classes)
11/11 6.2: Properties of the Determinant.
6.3 Geometrical Interpretation of the Determinat. Cramer's rule.

12
4ed and 5ed
6.2: 2, 4, 12, 18, 20.
6.3: 2,14, 22, 24.
Homework 12 is due  Monday 11/25
11/ 18 7.1 Diagonalization (this corresponds to 7.1 and  part of 7.4 in the 4th Edition)
7.2 Finding the Eigenvalues of a matrix.

13
4ed and 5ed
7.1: 2, 4, 6, 10, 12, 14, 16, 20, 36, 38,40, 42.
7.2: 2,4,10, 16, 18.

Homework 13 is due  Friday  12/6
11/25 7.3 Finding the Eigenvectors of a matrix.

No Hw

11/27,28, 29 No Class. Thanksgiving!
12/2 7.4 Diagonalization.
Review

Practice Final: The practice problems for the two midterms and the following problems:
6.1.15, 6.1.29, 6.2.5, 6.2.17, 6.2.23, 7.1.13, 7.1.37, 7.2.9, 7.2.15,7.2.17, 7.3.7, 7.3.3, 7.3.11.

Final: Thursday Dec 12th, 5:30-8pm.
The final will take place in Simons Center 103 for ALL students (regardless where they take classes)

Here are you will find practice finals with solutions, and also, solved problems. Here there are practice problems about eigenvalues and eigenvectors.