What bachelor program is best to focus on mathematical modeling?

Such a program cannot exist. "Modelling" is just a catch all term. But in practice nobody learns "modelling". They just get deep in one field and learn how to model problems in that field. Those people are often not mathematicians, but engineers working on applied problems.

What you need to do is to get interested in something cool. Then contact research groups in that field and ask them if there is a place for you. You will no learn modelling. But you will be doing modelling of one very specific problem.

I completed an MSc in Mathematical Modelling and Scientific Computing at Oxford[1].

You mentioned in some of your replies that you're interested in financial time series models, deep learning, and game development.

I recommend you clarify whether you want to get good at mathematical modelling as a *general skill*, or *do* mathematical modelling in a specific subject area.

Mathematical modelling in academia will focus on theory, proofs, etc. because it has to teach students the entire toolkit for building models. This means understanding how to frame real-world problems (weather forecasting, structural models for buildings, etc.) into a mathematical problem that can then be solved analytically (i.e., by using theorems/functions) or numerically (i.e., by estimating a solution through various 'guesses' and algorithms).

As such, a mathematical modelling expert needs to have a deep mathematical toolbox, and the "applied" work then becomes easy.

A pure "mathematical modelling" program will rarely touch on AI, deep learning, etc. That would be covered in computer science programs.

Unless you find more focus, I'd suggest you study pure math or applied math. Any advanced AI, math modelling, etc. will require you to understand algorithm design, generate proofs (e.g., to show that your models will converge to solutions), and ultimately represent the world mathematically. An applied math program with a few courses in comp sci will get you there.

Most of the folks I know who pivoted into AI or build models in specific industries have a strong mathematical background that they can leverage to learn everything else. It's why you see physics Phds working in AI, or math PhDs working in finance. They learn the industry-specific details on the job.

Also, a lot of this is grad-level stuff... If you already have an undergraduate degree, you might want to consider a program like the one I completed. It took only a year and was very, very technical. Much faster + more focused than 3-4 years of undergrad.

[1] https://www.ox.ac.uk/admissions/graduate/courses/msc-mathema...

Industrial Engineering.

It's a fairly math-heavy curriculum (without getting much into the "pure" proof type math courses you mention) that goes into both systems modeling and various logistics and process optimization domains.

And being engineering, it's obviously focused on real world applications. You start with the typical engineering theoretical and/or empirical framework, then you start stating assumptions to simplify/ modify/ apply your formulas to the situation at hand.

And there's methods for evaluation and verification, etc.

Side Note- Most IE curriculums include more hours of computer science/ programming courses than comparable engineering and science degrees, which could be a pro/con depending on the school and your circumstances. Taking classes you already know can lighten your load, or the school might let you skip and sub credits and take a few more advanced/ interesting/ specialized courses.

Look into Operations Research & . The degree name varies between countries.

Here is a bachelor program in the Netherlands [0]

"Groningen teaches you all about econometric modelling."

Look at this mathematics and modelling program (masters program) [1].

There are other types of specialisations; I saw you mentioned financial, which is why I linked this one.

[0] https://www.rug.nl/bachelors/econometrics-and-operations-res...

[1] https://lnu.se/en/programme/mathematics-and-modelling-master...

I do modeling in the sense of computational fluid Dynamics (cfd) or finite element analysis (fea) or just basic physics-based models and my background is in chemical and mechanical engineering.

if you want to get into the field doing it though, you'll ideally need a PhD. It takes a lot of time to understand all the nuances of how to model a system and reading and practicing are the best ways.

If you don't want to do a PhD, the best way to break into the field in industry is develop your own EASY TO USE open source copy cat of the commerical software. By easy to use I mean no command line, no OS or hardware dependent implementations (best to assume all users are on windows), and doesn't rely heavily on any programming.

Most people doing modeling in industry have backgrounds in engineering, math, or physics, not software. Most of us code but it heavily varies.

While I'm not clear why you would want to go back to an undergrad given your education, I would look for programs with names like "Computational Mathematics" or "Computational Science". I earned a Bachelor of Mathematics in Computational Mathematics. The first two or three years were heavily focused on the mathematical foundations (eg. non-linear and discrete optimization, combinatorics and CS fundamentals, statistics and applied mathematics). The latter half of third year and all of fourth year were basically a "create your own adventure" where you could focus on subject areas that interested you (ex. econometrics, computational biology, industrial engineering, computational statistics + machine learning, etc). We had a breadth requirement t that often pushed people to obtain a minor from a different faculty (eg. Arts or Sciences). The program overview for my school might give you an indication of what content to look for [1].

You might also find graduate level programs that are similar in aim; my school also offers an MMath in Computational Mathematics [2].

1. http://ugradcalendar.uwaterloo.ca/page/MATH-Computational-Ma...

2. https://uwaterloo.ca/computational-mathematics/future-master...

Can you give more details on why you want to learning about mathematical modeling? And what do you want to model? Given your educational background, there are probably more time- and cost-efficient ways to learn the same material (which is likely highly application-specific).

Also, applied mathematics programs teach proofs because they want to show that their applied methods are guaranteed to work, as opposed to being fragile, ad hoc guesses.

I'm not 100% sure about Mathematical Modeling. But given you checked out TU Delft you might as well check out Utrecht University. They have a very cool and hands on Math department and offer 2 week Summer schools to take a look - possible to get a cost reimbursement if that's an issue. Once you're there you can just ask what they recommend.

Edit: https://www.uu.nl/en/organisation/mathematical-institute/res...

Statistics or applied physics.

But really, just get a tutor