Ants, Bikes and Clocks is a wonderful introduction to applied mathematics via problem solving. Most of the material is calculus free. Students can learn an immense amount about how to approach problems and why they should study math at University. I use this as a supplement in a 200 level modeling class as well as the main text for a section I teach to math high school teachers. I also leave the book with high school classes I visit. It is very well written, approachable and filled with great problems and some hints on how to solve them. Enjoy!