This course provides a formal introduction to the principles of mathematical logic. It moves beyond simple calculation to focus on the structure and validity of mathematical statements. You will learn to identify and analyse simple and compound statements, understand the concept of truth values, and use symbolic logic to represent arguments. Logical reasoning is the bedrock of mathematics and computer science. While other topics teach you how to calculate, this subject teaches you how to think and construct valid arguments. This skill is non-negotiable for writing proofs, developing algorithms, and designing complex systems where precision and the absence of ambiguity are critical. By the end of this course, you will be able to define a mathematical statement and determine its truth value. You will understand and use logical operators such as conjunction and conditional statements. You will also be able to translate simple verbal arguments into symbolic logic. This course is designed for students who are beginning to engage with more abstract mathematical concepts. It is essential for anyone intending to study higher mathematics, computer science, or philosophy. No prior knowledge is required beyond a clear thought process.