Foundations of Mathematics: Sets, Relations, and Statistics

Strong mathematical foundations are the secret behind computer science, data analysis, and advanced algebra. This course demystifies the core principles of sets, relations, and statistics through clear, step-by-step written explanations. You will transition from basic mathematical definitions to confidently analyzing data distributions and mapping complex relationships, developing the logical thinking required for academic success and modern technical fields. What you'll learn: - Understand the core language of set theory, including subsets, power sets, and Venn diagram logic. - Apply set operations such as unions, intersections, and complements to solve logical problems. - Master the concepts of relations, cartesian products, and types of mathematical mappings. - Calculate key statistical measures including mean, median, mode, variance, and standard deviation. - Analyze data distributions to extract meaningful insights from raw datasets. - Explore how set theory and relations connect to modern database structures and data science. The course begins with foundational definitions and notation, ensuring you grasp the language of mathematics before moving on to practical operations, algebraic relations, and statistical analysis. Through structured text-based lessons and written practice exercises, you will build a robust mental model of these essential topics. This course is designed for beginners, high school students, and self-taught learners looking to strengthen their mathematical background from scratch. No prior advanced math knowledge is required. Start reading today to unlock the logical foundation of mathematics and data.