- #1
battousai
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Hello, I'm doing a bit of course planning right now. I'm majoring in applied math, and I'm just wondering if upper division linear algebra and abstract algebra is needed to be competent as an applied mathematician (graduate school bound possibly)?
Here are the course descriptions. Algebra is a 3 quarter sequence, while Linear Algebra is a 2 quarter sequence. Algebra I requires LA I as a prerequisite.
110A. Algebra (4)
Lecture, three hours; discussion, one hour. Requisite: course 115A. Not open for credit to students with credit for course 117. Ring of integers, integral domains, fields, polynomial domains, unique factorization. P/NP or letter grading.
110B. Algebra (4)
Lecture, three hours; discussion, one hour. Requisite: course 110A or 117. Groups, structure of finite groups. P/NP or letter grading
110C. Algebra (4)
Lecture, three hours; discussion, one hour. Requisites: courses 110A, 110B. Field extensions, Galois theory, applications to geometric constructions, and solvability by radicals.
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115A. Linear Algebra (5)
Lecture, three hours; discussion, two hours. Requisite: course 33A. Techniques of proof, abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory. P/NP or letter grading.
115B. Linear Algebra (4)
Lecture, three hours; discussion, one hour. Requisite: course 115A. Linear transformations, conjugate spaces, duality; theory of a single linear transformation, Jordan normal form; bilinear forms, quadratic forms; Euclidean and unitary spaces, symmetric skew and orthogonal linear transformations, polar decomposition. P/NP or letter grading.
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Note that the applied math major requires only 115A, and no algebra.
But of course I would be willing to go over the requirements if that will help me. Any suggestions?
Here are the course descriptions. Algebra is a 3 quarter sequence, while Linear Algebra is a 2 quarter sequence. Algebra I requires LA I as a prerequisite.
110A. Algebra (4)
Lecture, three hours; discussion, one hour. Requisite: course 115A. Not open for credit to students with credit for course 117. Ring of integers, integral domains, fields, polynomial domains, unique factorization. P/NP or letter grading.
110B. Algebra (4)
Lecture, three hours; discussion, one hour. Requisite: course 110A or 117. Groups, structure of finite groups. P/NP or letter grading
110C. Algebra (4)
Lecture, three hours; discussion, one hour. Requisites: courses 110A, 110B. Field extensions, Galois theory, applications to geometric constructions, and solvability by radicals.
---------------------------------
115A. Linear Algebra (5)
Lecture, three hours; discussion, two hours. Requisite: course 33A. Techniques of proof, abstract vector spaces, linear transformations, and matrices; determinants; inner product spaces; eigenvector theory. P/NP or letter grading.
115B. Linear Algebra (4)
Lecture, three hours; discussion, one hour. Requisite: course 115A. Linear transformations, conjugate spaces, duality; theory of a single linear transformation, Jordan normal form; bilinear forms, quadratic forms; Euclidean and unitary spaces, symmetric skew and orthogonal linear transformations, polar decomposition. P/NP or letter grading.
---------------------------------
Note that the applied math major requires only 115A, and no algebra.
But of course I would be willing to go over the requirements if that will help me. Any suggestions?