Operators and control statements in Java allow programmers to perform mathematical operations, make logical comparisons, and control program flow. The document discusses the different types of operators in Java including arithmetic, relational, logical, assignment, and ternary operators. It also covers the different types of control statements for decision making (if, if-else, switch) and looping (while, for, do-while loops). Examples are provided to illustrate how each operator and control statement is used.