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What is information? How can we measure and efficiently represent it? How can we reliably communicate and store it over media prone to noise and errors? How can we make sound decisions based on partial and noisy information? This course introduces the basic mathematics required to formulate and answer these questions, as well as some of the principles and techniques in the design of modern information, communication, and decision-making systems. Students will also get a glimpse of ways in which these principles manifest in domains ranging from the neural codes of the brain, through the genetic code, to the structure of human language.