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This lecture introduces expressions and operators in C++, explaining how expressions calculate values and the importance of matching types. It covers literal values, types, common operators like addition and multiplication, and special operators like modulo and increment/decrement. The division between int variables is discussed, along with solutions to avoid losing precision. Additionally, it explores mathematical functions provided by the C++ standard library, such as trigonometric functions and constants like PI and e. Practical examples are given to illustrate the concepts.