How much is (upper div) linear algebra and algebra needed for an applied math?

In summary, if you are majoring in applied math and planning for graduate school, it is recommended to take at least one semester of abstract algebra and a second semester of upper division linear algebra. These courses will provide you with a solid foundation in the fundamentals of algebra and prepare you for higher-level applied math courses in graduate school.
  • #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.

---------------------------------

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?
 
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  • #2
You should at least take one semester of abstract algebra and a second semester of linear algebra (upper div LA). The abstract algebra would be good as an intro in knowing some basic things on the fundamentals of algebra (groups, homomorphisms, etc.). It's good to at least know what's out there, as well as knowing the basics for fields you aren't a specialist in. The upper div LA is quite necessary for applied math, especially if you want to delve into higher-level applied math (PDEs, ODEs, numerical methods, etc.).
 

1. How much of linear algebra is needed for applied math?

Linear algebra is an essential part of applied math as it provides the necessary tools for solving complex mathematical problems. You will need to have a strong understanding of concepts such as matrices, vectors, and systems of linear equations to apply them in real-world situations.

2. Is algebra important for applied math?

Yes, algebra is an integral part of applied math as it serves as the foundation for more advanced mathematical concepts. A strong understanding of algebraic principles such as equations, functions, and graphs is necessary for solving real-world problems in fields such as engineering, physics, and finance.

3. Do I need to have a background in math to study applied math?

While a background in math can certainly be helpful, it is not always necessary to study applied math. Many universities offer introductory courses that cover the necessary mathematical concepts for applied math, including linear algebra and algebra, to ensure that students from various backgrounds can succeed.

4. How can I improve my skills in linear algebra and algebra for applied math?

There are various resources available to improve your skills in linear algebra and algebra for applied math. You can take online courses, attend workshops or seminars, read textbooks, and practice solving problems. It is also helpful to seek guidance from a math tutor or mentor if you are struggling with specific concepts.

5. Can I use software to solve linear algebra and algebra problems in applied math?

Yes, there are many software programs available that can help you solve linear algebra and algebra problems in applied math. Some common examples include MATLAB, Mathematica, and Maple. However, it is important to have a solid understanding of the underlying concepts before relying solely on software to solve problems.

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