Difference between revisions of "MATH 1564"
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* Abstract vector spaces |
* Abstract vector spaces |
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* Spanning, independence, and bases |
* Spanning, independence, and bases |
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| − | * Isomorphism |
+ | * Isomorphism |
* Linear transformations, and the matrix of a transformation |
* Linear transformations, and the matrix of a transformation |
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| + | * Rank-Nullity Theorem |
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* Matrix operations |
* Matrix operations |
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* Matrix and transformation inverses |
* Matrix and transformation inverses |
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Latest revision as of 12:17, 18 February 2025
MATH 1564 covers linear algebra and abstract vector spaces. It is a core math course worth 4 credit hours. It is offered each fall semester.
Topic List[edit | edit source]
- Systems of equations
- Geometry of vectors
- Abstract vector spaces
- Spanning, independence, and bases
- Isomorphism
- Linear transformations, and the matrix of a transformation
- Rank-Nullity Theorem
- Matrix operations
- Matrix and transformation inverses
- Markov chains
- Change of basis
- Orthogonal projection, Gram-Schmidt, line of best fit
- Determinants
- Complex vector spaces
- Similarity, diagonalizability, eigenvalue and eigenvector
- Page ranking
- Jordan canonical form
Prerequisite Knowledge[edit | edit source]
Calculus with a high score.
Calculus is used very little in this course. The calculus prerequisite only shows that you are able to learn mathematics at this level.
Equivalent Courses[edit | edit source]
MATH 1553 and MATH 1554, each of which covers linear algebra but with less emphasis on abstraction.
This course is preferable to the others for mathematicians and similar theorists.
Resources[edit | edit source]
- A textbook often used for this course is Linear Algebra by Hefferon.
