How do I do basic circuit analysis with resistors rated in watts instead of ohms?

The symbol for Ohms is the capital letter Omega, \$\Omega\$. In some word processors if you make the Omega symbol using a Greek font and then convert it to another font like Times New Roman or Arial, then that symbol will show up as a "W.". In other words, your professor probably used the wrong font and those are meant to be Omega's.