What inherent differences between an engineer and a programmer?

In many countries Engineer is a protected title, that should not be used unless the person has formal qualifications and experience in a certain field http://en.wikipedia.org/wiki/Regulation_and_licensure_in_eng....

Unfortunately the terms "software engineer" and "programmer" are often used interchangeably.

There are many degree courses that lead to the qualifications in software engineering. However, it is possible to be self taught. The only problem being that many programmers don't know what they don't know and that can lead to problems if more experienced (and knowledgable) people are not available to address gaps in knowledge and skill.

I prefer to think that software used in critical applications, e.g. avionics in new airplanes, are produced by software engineers having undergone rigorous education and experience.

Engineers usually have a college degree in engineering.

Let me rephrase, what are the inherent differences in mannerisms between an non-software engineer and a programmer?

Engineers know and use more math?

Engineers don't write code, they build bridges, aircrafts, highways, spaceships etc.