The field of Mathematics is truly not made for everyone much like how everyone doesn’t end up driving used cars in Phoenix. Still, one thing remains certain: those who are good in Mathematics can end up doing some of the most groundbreaking research in many scientific fields. The beauty of Mathematics is that it is a multi-disciplinary field with various applications so investing time on the right advanced courses in college can easily translate to an excellent work arrangement that would allow someone to do something that they truly love while being paid a handsome amount in doing it.

So the question essentially becomes, “What are the advanced mathematics courses at college that are truly worth spending time on?” Unfortunately, with the many disciplines in Mathematics, picking a few excellent courses is almost impossible. The challenge is not that different from being asked to narrow down the best SEO San Antonio consultants or the most preferred therapist Encinitas options out there. To put it bluntly, any list would come up short and leave out a few good options. Still, we are tasked to do just that and list some of the better advanced mathematics courses available.

Thus, in the succeeding bullets, we present some of the more intriguing and truly useful mathematics disciplines that one can take in college.

Advanced Harmonic Analysis. This is a subset of calculus that is dealt using the Fourier analysis methodology. The topic of harmonics has a variety of applications from acoustics to theoretical physics. It most certainly isn’t a study for designing mens wetsuits. Having said that, advanced harmonic analysis is important because it deals with the study of physical processes that can be represented via wave equations or phenomena that is cyclical, repetitive or periodic in nature. It can even be used for signal analysis in order to optimize a telephone answering service system.

Advanced Topology. Today, mathematics is finding ways to represent a multi-dimensional universe beyond the observable 3-space and 1-time dimension. Advanced theories in theoretical physics propose that there can be up to 11 dimensions in order for spacetime to be thoroughly represented. Exploring the implications of this requires advanced topology methods; in short, how do you describe a geometric space with 11 dimensions? Answering this question might just prove to be the “wow gold” moment that can earn a mathematician a quick trip to Stockholm, Sweden for his Noble Prize acceptance speech.

Boolean Algebra. This subject forms the foundation of the program that runs all computers in the world. The next breakthrough in optimizing and streamlining the way the internet works will come from someone with in-depth knowledge of Boolean algebra principles. You can say that this course is the San Diego flooring on which all the world’s computer needs depend on.

Combinatorics. This field of study deals with “counting” objects that meets specific criteria. It is fundamentally tied to the many important applications but most notably in market research and other branches of statistics. Believe it or not, this field can quite simply study anything, from car dealers to hip replacement recall announcements providing invaluable insight into something that, on the outside, looks very superficial.

There are a variety of other advanced mathematics courses that merit consideration. For example, engineers should be well-versed with applied mathematics such as those that require the use of different equations for solving non-linear phenomena. Those in-charge of building design can benefit from mathematical physics courses. Information theory and signal processing is vital to the electronic world we live in.

The beauty of all these courses is that it refutes the notion that mathematics acts like exterior shutters relegating people to studying the abstract rather than practical applications in today’s environment. This cannot be further from the truth. Without the people who spent time understanding mathematical principles and their applications, we would still be stuck in the Stone Age relying on smoke signals for communication and sharpened stone for hunting. Advanced mathematics is instrumental in bringing us into our current era and with more refinement, it can bring us to a higher plane of understanding and should hopefully better society and make it more adept at unveiling the secrets of nature and forging the pathway to a more responsible and more sustainable existence.