This stuff is really complicated. Maths is so much easier ~~~~
(Not being sarcastic here, just taking the question literally) He designs. He creates. Whether it's individual circuits or entire products or systems, analog or digital or both, he works from the specified functional and performance requirements, and the technologies available to him, to create that which is needed.What does a design engineer do ?
Application engineers assist customers in using the company's products, and/or write informational materials such as application notes and the application sections of data sheets.What is the difference between Applications, Systems, and Design engineers?
I'm retired now, and only do occasional consulting for my former place of employment. Back when I worked full-time, though, it was mainly as a combination design and applications engineer dealing with sensors and instrumentation for industrial and military application.What are your tasks at work ?
First learn how to bias the transistor into its quiescent state.I think my problem is I don't know what is the optimal place for the Q point given a supply voltage V. Would it be half the supply then?

No. First as a simple (class A) amplifier it wastes energy vs other possible power amplifier circuits AC or DC coupled. If Rc is DC coupled that energy is also wasted in the speaker coil resistance causing it to heat, the speaker cone is displaced by the DC bias current into a position other than the natural suspension position possibly causing audio distortion from the transducer. So we want a circuit that doesn't have a large DC quiescent current but is capable of a large AC current into the speaker.If I want a simple power amplifier, say to amplify an audio signal and feed it into a speaker... Do I use the speaker in place of Rc? So that the speaker becomes the load, directly connected in place of Rc, so that a lot of current passes through it? Or does it not matter ? Or should I AC couple the speaker to the transistor collector? However it seems the voltage will be small because Rc is large compared to the speakers impedance.
No, I can't; there are many, many considerations in making that choice, such as required voltage gain, output and input impedances, frequency response, noise level, distortion, and so forth.Would you tell me what is the optimal Icq for the BC300, for a supply voltage of both 5V and of 10V ?
Read the following page:The datasheet for the BC300 transistor shows parameters: Vceo, Vebo and Vcbo under the heading Absolute Maximum ratings. What do these mean ?
Yes, it's complicated; but don't let that discourage you. The good news: experience will make it a lot LESS complicated. The bad news: usually it takes a LOT of experience to master that complexity.This stuff is really complicated. Maths is so much easier ~~~~
I would imagine that's because math is logically precise with few or no fuzzy or ill-defined parameters.This stuff is really complicated. Maths is so much easier ~~~~