Proving trigonometric identities are some students' least-favorite lessons. For us, those proofs are enjoyable puzzles for which the right algebraic manipulation leads to the desired outcome, but our students did not always find the same satisfaction in untangling those algebraic knots.
Craig J. Cullen and Tami S. Martin
Robots are used in all kinds of industrial settings. They are used to rivet bolts to cars, to move items from one conveyor belt to another, to gather information from other planets, and even to perform some very delicate types of surgery. Anyone who has watched a robot perform its tasks cannot help but be impressed by how it works. Here we offer some insight into the mathematics that goes into designing such a robot.