Erik Ohlson wrote:
"Hmm, I wonder if my better pics were taken using A mode...
Now I need to experiment. Thanks for the comment (should have read all the posts earlier!).
It is very likely that this is, indeed, the case.
"A" mode is the best for any of the pocket zooms, by any manufacturer.
It's technical - physics, actually. The sensor is quite small, therefor the lens must have a very short focal length - usually about 4.3mm (that is approximately 1/3inch).
The 'aperture' is the "hole" the light comes into the camera. The aperture can be changed, and the numbers used to keep track of this are the RATIO of focal length to the size of the opening. (Divide the size of the opening in millimeters into the focal length in millimeters = the "ƒ/number" value.
There is nothing magical about this - but where the "Magic" comes in is that - due to physics again (sorry!) when light passes through a hole, it "scrapes" on the edges. All waves do this, including light and water. Here is a picture of water waves passing through an aperture, notice how the wave pattern changes and smooths (blurs) out.
The waves are coming toward you in this photo:

View: gallery page
When light does this, it blurs the image. It's called "diffraction". It can NOT be avoided.
The wider the hole, the less blur.
There is a critical size "hole" for visible light - approximately 3mm (1/8 inch).
This 3mm hole happens to be about ƒ/3.3, and going smaller than that (larger number - yes, its confusing) the blurring effect gets much worse.
So setting the Aperture to ƒ/3.3 and LEAVING IT THERE will ensure the sharpest image the lens is capable of. Period.
There is no "downside" to this: the camera will then choose a shutter speed (from 1/2000th second right down to 1 full second). This "wide open" aperture is best for "low light" too - it lets in more light.
When you zoom out, you will see larger ƒ/ numbers although the actual "hole" remains the same, the changing numbers are just how many times the diameter is divided into the focal length - which is changed by zooming.
Forget all you have ever heard about "stopping down for depth of field" - with this extremely short focal length you have extremely deep depth of field (Physics again, sorry).
Once you become more familiar with photography, you can use different apertures at the long zoom focal lengths where the diffraction effects do not apply. (Yep, physics, again.)
Thank you, Erik, for letting us know this fact. It is important for me. I do a lot of macro work and a couple of days ago I found a video at youtube where a photographer told, that he prefers macro photos with a long focal length and extended DOF as he does not like to do image stacking with short focal length and the time consuming process at the computer, afterwards. I did not know why this should work - but now I know it.