Difference between revisions of "MATH 1564"
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| + | {{DISPLAYTITLE:MATH 1564 - Linear Algebra with Abstract Vector Spaces}} |
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| − | MATH 2603 is a 4 credit hour course in Discrete Mathematics. |
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| + | |||
| + | MATH 1564 covers linear algebra and abstract vector spaces. It is a core [[mathematics|math]] course worth 4 credit hours. It is offered each fall semester. |
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== Topic List == |
== Topic List == |
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| + | * Systems of equations |
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| − | * Logic |
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| + | * Geometry of vectors |
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| − | * Sets, relations, functions |
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| + | * Abstract vector spaces |
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| − | * Bijection and cardinality |
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| + | * Spanning, independence, and bases |
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| − | * Equivalence relations and partitions |
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| + | * Isomorphism |
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| − | * Induction and recursion |
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| + | * Linear transformations, and the matrix of a transformation |
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| − | * Algorithms |
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| + | * Rank-Nullity Theorem |
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| − | * Combinatorics |
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| + | * Matrix operations |
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| − | * Probability |
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| + | * Matrix and transformation inverses |
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| − | * Graphs |
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| + | * Markov chains |
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| − | * Trees |
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| + | * Change of basis |
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| + | * Orthogonal projection, Gram-Schmidt, line of best fit |
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| + | * Determinants |
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| + | * Complex vector spaces |
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| + | * Similarity, diagonalizability, eigenvalue and eigenvector |
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| + | * Page ranking |
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| + | * Jordan canonical form |
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== Prerequisite Knowledge == |
== Prerequisite Knowledge == |
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| + | Calculus with a high score. |
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| − | The GaTech math department formally requires having passed a calculus course. |
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| − | Calculus is used very little |
+ | 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 == |
== Equivalent Courses == |
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| + | [[MATH 1553]] and [[MATH 1554]], each of which covers linear algebra but with less emphasis on abstraction. |
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| − | MATH 2602, titled "Linear and Discrete Mathematics". |
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| + | This course is preferable to the others for mathematicians and similar theorists. |
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| − | There is a large overlap with topics in [[CS 2050]], although this course focuses more heavily on number theory and topics related to computing. |
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== Resources == |
== Resources == |
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| − | * |
+ | * A textbook often used for this course is ''Linear Algebra'' by Hefferon. |
[[Category:Courses|^MATH^MATH]] |
[[Category:Courses|^MATH^MATH]] |
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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.
