# Lecture 3

GO TO:

## Before the Lecture

• Read Sections 1.3, 1.4 and 1.5. (Note: Look at the section Outcomes to see what you are expected to get from the reading, perhaps after also some in class help.)
• Watch the videos related to these sections (after reading them):
• Write down all questions about the above topics to bring to our (online) lecture. Comments about the videos are welcome!
• Work on the assigned problems for these sections. (See Related Problems below.) You don't need to finish them, but try to work on as many as you can and the bring your questions to class.

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## Related Problems

All of these are to be turned in on 06/03 by 11:59pm (Homework 1).

Section 1.4: 2, 6, 7, 9.

Section 1.5: 3, 4, 5, 9.

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## In Class

In class:

• We will discuss the reading and pace.
• I will discuss the main points.
• I will answer any other questions.
• We can work on the HW problems.

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## Outcomes

After the assignment (reading and videos before class) and class, you should:

• be familiar with the notions of sets and its basic operations (union, intersection and subtraction);
• know what the Truth Set of a statement (which depends on a variable) is;
• know how to use Venn Diagrams (Problems 1.4.6 and 1.4.11);
• prove equality of two sets with logic (Problem 1.4.7);
• know the truth table of if/then operation (Problem 4);
• know that $P \rightarrow Q$ is equivalent to $\neg P \vee R$;
• know the contrapositive and converse of if/then statements;
• translate statements with if/then from common speech to logical symbols (Problem 1.5.3) and vice-versa;
• simplify and establish equivalency of statements involving if/then (Problems 5 and 9).

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