MTH211 SYLLABUS - Fall 2019

 

Week(s)	Topics	Readings
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.

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Last modified: 7/7/2019