Important classes for an applied math major?

In summary, Zaculus is considering taking mathematics courses in the fall semester to gain a Master's degree in mathematics after undergrad. He is undecided about what classes he wants to take for his electives, but is interested in classes such as Mathematical Cryptology, Differential Geometry, and Probability Theory.
  • #1
lus1450
40
1
Good afternoon! I will begin taking upper division mathematics in the fall, and I definitely wish to obtain a Master's right after undergrad, and as for PhD, I'm a bit iffy if I want one (I'll save that for another post in a couple years ^.^) Anyway, I have 4 electives where I get to choose what I want to take in addition to the required classes, but I'm not too sure what classes are valuable to an applied mathematician. I'm not super interested in finance related jobs (maybe being an actuary...maybe), so keep that in mind when helping me pick. Here's what I am required to take:

Linear Algebra (Proof Based)
Analysis
Analysis Part II OR Complex analysis (I'm leaning towards complex at the moment)
Mathematical Modeling
And two of the following sequences (though, I plan on taking all 3 of the sequences, so that leaves only 2 electives):
Probability Theory AB
Applied Numerical Methods (numerical analysis) AB
Differential Equations (Linear/Non Linear Systems and ODEs)

And here are courses I am interested in for electives (I also have to take another 3 or so since my school requires 60 upper division units to graduate, and the major is only about 48):

Mathematical Cryptology
Partial Differential Equations (will probably take this)
Differential Geometry (has a part A and a part B)
Stochastic Process
Combinatorics
Algorithms
Algebra (ABC three course sequence)
Intro to Topology
Fourier Analysis
Optimization
Theory of Numbers
Mathematics of Computer Graphics

Thanks for your time and input. If anything needs clarifying, just ask me.
I only have 2 posts at the moment, so I'm not allowed to link to all the course descriptions.
 
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  • #2
If I were you, I would certainly take Fourier analysis. It's an extremely interesting class and very useful in applied mathematics.
 
  • #3
Hey Zaculus and welcome to the forums.

My recommendations including Fourier Analysis, Optimization, PDE's, and Stochastic Processes.

Optimization IMO, is a critical subject for applied mathematics across the board (including for statistics) and is required in every application.
 
  • #4
I would say the "core" 3 electives were PDEs, fourier, and optimization.

cryotology + number theory or algorithms + computer graphics are (fairly obviously) for specalists in those fields, so either you need to take them them or you don't. The same goes for the others IMO, though the relevant specialisms might not be so obvious.
 
  • #5


I can understand your dilemma in deciding which courses to take as an applied math major. It's great to see that you already have a clear goal in mind for obtaining a Master's degree and potentially a PhD. This will help guide your course selection and ensure that you are on the right track towards your career aspirations.

Based on the courses you are required to take, I would recommend focusing on courses in analysis, mathematical modeling, and the sequences in probability theory and applied numerical methods. These courses will provide a strong foundation in mathematical theory and practical applications, which are essential skills for an applied mathematician.

For your electives, I would suggest taking courses in optimization, algorithms, and partial differential equations. These courses will enhance your knowledge in problem-solving and computational methods, which are highly valued in many industries and research fields.

I would also highly recommend taking courses in stochastic processes, mathematical cryptology, and differential geometry. These courses may not be directly related to your career goals, but they will broaden your knowledge and skill set in different areas of mathematics, making you a well-rounded and versatile mathematician.

Overall, it's important to choose courses that align with your interests and career goals, but also challenge you and expand your knowledge in different areas of mathematics. Keep in mind that as an applied mathematician, you may have to work in diverse fields and industries, so having a broad understanding of different mathematical concepts will be beneficial.

Best of luck in your studies and future career as an applied mathematician!
 

1. What are the core classes for an applied math major?

The core classes for an applied math major typically include calculus, linear algebra, differential equations, probability and statistics, and numerical analysis. These classes provide a strong foundation in mathematical concepts and techniques that are applicable to various real-world problems.

2. Are there any specific programming classes that are important for an applied math major?

Yes, programming is an essential skill for an applied math major. Courses in programming languages such as MATLAB, Python, and R are commonly recommended for applied math majors. These languages are widely used in the field of applied mathematics for data analysis, modeling, and simulations.

3. What is the importance of taking courses in physics and engineering for an applied math major?

Courses in physics and engineering provide a practical understanding of how mathematical concepts are applied to real-world problems in these fields. These courses also introduce students to various mathematical models and techniques that are used in these disciplines, making them valuable for an applied math major.

4. Are there any specialized classes that are important for specific career paths within applied math?

Yes, depending on the specific career path within applied math, there may be specialized classes that are important. For example, for those interested in finance, courses in financial mathematics and economics may be beneficial. For those interested in computer science, courses in algorithms and data structures may be valuable.

5. Are there any electives that are highly recommended for an applied math major?

While the core classes provide a strong foundation, there are many elective courses that can enhance an applied math major's skills and knowledge. Some popular elective choices include optimization, dynamical systems, mathematical modeling, and game theory. It is recommended to consult with an academic advisor to determine which electives align with your interests and career goals.

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