If you're trying to make a field switch (say math to engineering) what advice do you have for a smooth transition?

If you really want a career in engineering, probably you will need to take the time to get a degree in the field, either a graduate degree or a second bachelor's degree. But you might look into first working for an engineering company in a role which uses your math knowledge. That way you'll learn a certain amount of how engineers think and a certain amount of professional vocabulary even if you are working as a mathematical analyst or statistician.

There are a couple of things you can do in your senior year which will probably help you make the transition either to engineering graduate school or to a job related to engineering: If you have choices in your class projects, pick topics which relate to industrial engineering. Those might be in statistics or stress analysis or other complex analysis. Meanwhile, get to know faculty and senior majors in industrial engineering, if you haven't already built those connections. Talk to faculty both in math and in engineering about how mathematics can be used in engineering. Again, this will help you learn to think like an engineer and will help you learn basic concepts and vocabulary. All of that will help you decide whether to immediately pursue another degree. It will also help you succeed either in applying for jobs or in applying to graduate school.

Transition from Math to engineering might not be a tough one, given that you are completing a major in math. I know a friend, who did masters in Math and then Masters in Chemical engineering. Please follow the advise of Deborah Frangquist (discuss with your advisor).

In my perspective, although it is not hard, growing technological issues are demanding a faster and better solutions and most widely used method to deal with the issue is to develop models (these will save resources, time and energy). These might be very complex in nature and I am sure that your math knowledge is going to help a research group that does both experimental and modeling. In this way, you can use your math background to the advantage of solving an engineering issue and working with the engineers also gives you an opportunity to learn the thought process. There will be opportunities for you in organizations like Wolfram and Mathworks.

Pls check the following link also

https://signalvnoise.com/posts/3489-what-does-mechanical-engineering-have-to-do-with-data-science

Hope it is going to help.

It isn't the only way, but math bachelors are a bit limited with what you can do with them. Unfortunately, switching to engineering would add some good time to your degree. Joining an engineering graduate program after you get your math bachelors is going to be challenging too. I suggest you to talk to your adviser. He would tell you exactly how time the first scenario would cost you and the likelihood of the second one. I am going to leave you with a couple of links about the careers that you could follow with math bachelors.

http://www.topuniversities.com/student-info/careers-advice/what-can-you-do-mathematics-degree
http://study.com/articles/Jobs_and_Salary_Info_for_a_Bachelors_Degree_in_Mathematics.html