As said, propositional logic is the simplest logic. It is used to reason about propositions or sentences that are either true or false but not both. Not all sentences are propositions. For example, questions are sentences but are not true or false and therefore are not propositions.
In propositional logic, we form complex propositions from simpler propositions using the connectives ~ (NOT) , & (AND), v (OR) and → (IMPLIES, or IF .. THEN), and we determine the truth value of a complex proposition (i.e., whether it is true or false) from the truth value of the propositions that it is composed out of. Note that different authors will use different symbols for the connectives.
Read the material in the textbook. Once you have read the material, complete the quiz 1 found under the Quizzes tab.