MTH211 Linear Algebra
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MTH211 SYLLABUS - Fall 2019

Week(s)

Topics

1

 Systems of linear equations; row reduction, echelon form; vector equations
 §§ 1.1 - 1.3

2

 Matrix equation Ax = b; Solutions sets of linear systems
 §§ 1.4 - 1.5

3

 Linear independence; linear transformations
 §§ 1.7 - 1.8

4

 Matrix of a linear transformation; matrix operations; inverse of a matrix; elementary matrices
 §§ 1.9, 2.1, 2.2

5

 Invertible Matrix Theorem; partitioned matrices
 §§ 2.3, 2.4

6

 Matrix factorizations; LU; determinants
 §§ 2.5, 3.1, 3.2

7

 Cramer's Rule; vector spaces and subspaces
 §§ 3.3, 4.1

8

 Null spaces, column spaces; linearly independent sets; bases
 §§ 4.2, 4.3

9

 Coordinate Systems; dimension of a vector space
 §§ 4.4, 4.5

10

 Rank; change of basis
 §§ 4.6, 4.7

11

 Eigenvectors and eigenvalues; Characteristic equation
 §§ 5.1, 5.2

12

 Diagonalization; eigenvectors and linear transformations
 §§ 5.3. 5.4

13

 Complex eigenvalues; inner product, length, and orthogonality
 §§ 5.5, 6.1

14

 Orthogonal sets, as time permits; Additional topics, as time permits
 §§ 6.2; 6.3 - 6.5

Notes:

• The time line shown above serves as a very rough guide.
• Unless otherwise noted, readings are from the textbook. Linear Algebra and its applications, 5th Edition by David and Steven Lay, and Judi McDonald, Pub. Addison-Wesley.
• For the schedule of Examinations please click on the Exams Button.