Hey,
Some tough questions! I'll try and answer them as well as I can
Does one get to prove mathematical theorem/formulae in engineering or does one have to accept those as true without knowing where they come from? From what I can recall in first year we didn’t touch upon much of mathematical theorem - a lot of the work we did was involving differentiation, integration and trigonometry... basically a bit of a continuation from A level maths. When formulae did come up we were given proof and explored how they worked. In other modules though such as Mechanical principles and Theory of Machines there’s a lot more formulae that you are working with and get to prove as well as the formula sheets aren’t given with this module so having to derive them can be of help rather than memorising.
What kind of problems do engineers solve? (if you could give an example that would be great!) Yeah, no problem!
Here’s a very typical Engineering question to do with gears:
An electric motor drives a piece of machinery through a two stage compound reduction gear where the reduction at each stage is 3:1. The inertia of the motor armature and the driving gear is 0.05 kgm^2 and the intermediate shaft containing the compounded pair is 0.1 kgm^2. The load, output gear and its shaft have an equivalent inertia of 1 kgm^2 referred to the output shaft. It takes two seconds for the motor to accelerate from rest to its running speed of 2700 rev/min - calculate the motor starting torque assuming that it is constant.
Did you always enjoy working in groups back in school? To be honest with the subjects I studies (Maths, Bio, Chem) the closest I got to any form of group work was pairing up during experiments, but I wasn’t the most sociable person as well which didn’t help. However at University it was very different, you may have to work in groups on tasks that are have real-world relevance, making it a lot more enjoyable. Being put in groups of 4-5 people and splitting tasks to people's strengths is really satisfying. For example, a task we had to carry out was making a small circuit car - We assigned the electrical work to the person on the team who enjoys electronics and the mechanics to someone who is good in the workshop. Could be likened to a future project you may have to carry out in your engineering career in terms of delegating work and project management too.
How much programming is there to do in the course? This does vary across which course you pick. I know for first year we touch upon programming such as Matlab and Arduino - this is because the first year is the same across all engineering courses (including Electronic). However as I went into Mechanical Engineering we focused more upon 3D design using programs such as Creo (like solid works) and Autodesk in the following year. I’m sure if programming is something you do enjoy some of the other Engineering courses contain a lot more such as Mechatronics or Electronic.
Jamaal