Based on the definitions discussed in the course material and many other references, write your own definition of a function, the domain of a function and the range of a function. Give an example and draw a proper graph of each of the following: linear, quadratic, 3rd degree polynomial, exponential, logarithmic and at least one periodic function in your definitions.
Investigate carbon dating. What is it? How does it work? What is it useful for? Make sure that your explanation shows all the mathematics behind carbon dating.
Explain in detail the mathematical relationship between atmospheric pressure and altitude. Pick at least three different places in the world and show how their atmospheric pressure is explained through your mathematical relationship model. What kind of mathematical relationship is it? How is it used everyday?