I am planning to develop a course which I tentatively call as 'Quantitative Reasoning'. The goal of the course is to equip a typical undergraduate student with sound quantitative reasoning skills so that they can critically evaluate statistical and related quantitative claims they may encounter as part of their personal/professional lives.

The course will not have require any previous math or statistics background. The goal is to focus on the high level conceptual details rather than the details of density functions, t-tests, ordinary least squares etc. Thus, the hope is that the course will be useful and will appeal to a wide spectrum of students (think of majors such as: english, arts, sciences, social sciences, math etc). A similar question on stats.SE [List of topics for a 'quantitative reasoning' course](https://stats.stackexchange.com/q/15253/6194) may give you a sense of what I intend to cover in the course. 

The primary focus of this course will be on statistics. However, I am wondering what if any math skills/topics would be important for the average undergraduate student to know/understand.

In light of the above, my three questions are:

1. What *math topics* should you think I should include/exclude from such a course?
2. Are there any textbooks that may be useful given the above goal?
3. Are you aware of any other course that attempts to accomplish the above? Links to syllabus would be very helpful.

If it matters, the target student for the above course is an undergraduate student in the US possibly at the freshman or sophomore level.