Most Useful Math Electives for EE

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In summary: I can't speak for all engineering programs, but in my experience, multivariable calculus is typically a required course for electrical engineering majors. It covers topics such as partial derivatives, multiple integrals, vector calculus, and applications of these concepts to engineering problems. It is a fundamental course for understanding and solving problems in electromagnetics, signal processing, and other areas of electrical engineering.In summary, while opinions may vary, courses in complex analysis, numerical methods, and multivariable calculus are often considered the most important for electrical engineering students. Other useful courses may include those on Fourier analysis, Sturm-Liouville problems, partial differential equations, and Green's functions, depending on your specialization. Ultimately, your choice of
  • #1
bambam123456
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After the basic calc I-III, diff eq, and linear algebra what math classes are most important for Electrical Engineering? I have to take one math elective from this list. Which one will be most useful EE?

3034 - Introduction to Proofs (Limited availability due to course restrictions.)

3214 - Calculus of Several Variables

3224 - Advanced Calculus

3414 - Numerical Methods

4225 - Elementary Real Analysis

4445 - Introduction to Numerical Analysis

4446 - Introdution to Numerical Analysis

4514 - Applied Algebra

4525 - Principles of Advanced Calculus

4554 - Numerical Methods for Engineers

4564 - Operational Methods for Engineers

4574 - Vector and Complex Analysis for Engineers
 
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  • #2
Different people will have different opinions, and the answer will also probably depend on what you want to focus on after you graduate. That having been said, Complex Analysis (the last course listed), which involves learning how to define functions on the complex plane and then to differentiate and integrate them, has direct relevance to electrical engineering. Not only are methods involving the complex plane routinely used in EE, but in order to do something like, say, compute an inverse Laplace transformation directly, you need to know how to compute an integral on the complex plane.

Those are my two cents. Numerical methods are also generically useful in engineering.
 
  • #3
thanks. if that class is full what are the next 2 best choices? Also i will soon have to decide what area of focus i want specialize in. I have my final three choices. They are RF/electromagnetics, communications, and electronics/semiconductors. Which of these 3 specializations has the best job outlook and which one has the highest salary. I know that i should choose my specialization based on my interests but i am genuinely interested in all of these.
 
  • #4
bambam123456 said:
thanks. if that class is full what are the next 2 best choices?

Again, all I can do is offer my opinion. Things like proofs and real analysis seem of less direct relevance to an engineer, and I would only take them if you have an interest in getting a taste for what real math is like. For a course that would impart useful skills, I would go with something like numerical methods for engineers, or operational methods for engineers.
bambam123456 said:
Also i will soon have to decide what area of focus i want specialize in. I have my final three choices. They are RF/electromagnetics, communications, and electronics/semiconductors. Which of these 3 specializations has the best job outlook and which one has the highest salary. I know that i should choose my specialization based on my interests but i am genuinely interested in all of these.

I have *no idea* which of those has the highest job outlook or salary. Any answer to the question would be 1) highly time-dependent and 2) highly dependent on where you live or where you are willing to go. For salary, at least you can get a sense of things by comparing job postings from companies in each of these fields. If I had to guess which one might be more lucrative, I might say communications, but I really have no idea. I'm not basing that on much of anything other than the notion that there are more companies doing that, and I could be totally wrong.
 
  • #5
Fourier or numerical analysis would be useful. That and complex analysis, but usually you have to take real analysis which is a pain.
 
  • #6
Complex analysis is probably your best bet. Also, courses on things like Sturm-Liouville problems, partial differential equations, and Green's functions would be useful if you're interested in electromagnetics. (I don't know if any of the courses you listed cover that). Otherwise, numerical methods is probably a safe bet. I would avoid things like proofs and real analysis unless you're planning to get into the more applied math side of EE, in which case you'd probably want to take more than one extra math course anyway.
 
  • #7
multivariable calculus hasnt been completed yet?
 
  • #8
joshmccraney said:
multivariable calculus hasnt been completed yet?

Hmm, when did the OP ever say that? He (I am using the general "he" :-p) said he completed calc I-III. I'm sure naming conventions vary by place, but in my university, the first two calculus courses I took covered single-variable calculus, differential and integral respectively. In my case, the third covered both multivariable and vector calculus (vector calculus being crammed into the last few weeks of the semester, lol). I'm sure that for most cases, calc III would be at least multivariable calculus. If not that, then what else would it possibly be about?
 
  • #9
cepheid said:
Hmm, when did the OP ever say that?
he hasnt taken multi yet, as he listed it as a possible course, thus ill assume it hasnt been taken. you are on semester, so calc 1/2/3 might cover multi and vector. however, i am on quarters (as are many universities) and calc 1/2/3 are single variable calc 4 is multi and calc 5 is vector.

it seems odd, if the OP is on quarter, which i assume from the courses not taken (multi) that vector/multi have not yet been taken. if so, those are quite "integral" to applied physics/engineering
 
  • #10
joshmccraney said:
he hasnt taken multi yet, as he listed it as a possible course, thus ill assume it hasnt been taken. you are on semester, so calc 1/2/3 might cover multi and vector. however, i am on quarters (as are many universities) and calc 1/2/3 are single variable calc 4 is multi and calc 5 is vector.

it seems odd, if the OP is on quarter, which i assume from the courses not taken (multi) that vector/multi have not yet been taken. if so, those are quite "integral" to applied physics/engineering

Sorry, I didn't notice that, because it said "calculus of several variables" rather than multivariable calculus, and I overlooked it.

Multivariable calculus has got to be part of the core curriculum in any engineering program --- hasn't it? Surely it wouldn't be left as optional.

It's also unclear what year the OP is in.
 
  • #11
cepheid said:
Multivariable calculus has got to be part of the core curriculum in any engineering program --- hasn't it? Surely it wouldn't be left as optional.

i totally agree. some confusion here. should be in the core, but it's unclear...
 

Related to Most Useful Math Electives for EE

What are the most useful math electives for EE?

The most useful math electives for EE are calculus, linear algebra, differential equations, probability and statistics, and discrete mathematics.

Why are these math electives important for EE?

These math electives are important for EE because they provide a strong foundation in mathematical concepts and techniques that are essential for understanding and analyzing complex electrical engineering problems.

Do these math electives have practical applications in EE?

Yes, these math electives have practical applications in EE. Calculus is used to model and analyze continuous systems, linear algebra is used for circuit analysis and signal processing, differential equations are used to model and analyze dynamic systems, probability and statistics are used for analyzing data and making predictions, and discrete mathematics is used for designing and analyzing digital systems.

Are there any other math courses that would be useful for EE?

In addition to the 5 most frequently mentioned math electives, some other math courses that would be useful for EE include complex analysis, numerical methods, and optimization. These courses can provide further insights and tools for solving advanced EE problems.

Do I need to take all of these math electives to be successful in EE?

No, it is not necessary to take all of these math electives to be successful in EE. However, having a strong understanding of these fundamental math concepts and techniques can greatly benefit you in your EE studies and career.

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