Foundational Mathematics: Calculus, Algebra, and Probability

Many technical fields, from data science to engineering, require a strong mathematical foundation. This course provides the rigorous concepts you need to succeed without relying on prior advanced knowledge. By the end of this course, you will have a comprehensive understanding of advanced foundational mathematics, enabling you to confidently approach complex problem-solving and prepare for further study in STEM disciplines. What you'll learn: Understand the core principles of differential and integral calculus, including limits, continuity, and integration techniques. Master linear algebra concepts such as matrices, determinants, and solving systems of linear equations. Apply vector algebra and three-dimensional geometry to analyze spatial relationships and coordinates. Learn fundamental probability theory, including conditional probability, Bayes' theorem, and distributions of random variables. Practice solving various types of differential equations used in modeling dynamic real-world systems. Analyze mathematical functions and relationships using precise terminology and notation. The course begins with defining core mathematical concepts and notation, then progresses through detailed explanations and examples for each major topic area. Written exercises are integrated throughout to reinforce learning and practical application. This course is designed for absolute beginners or those needing a comprehensive review of foundational mathematics. No specific mathematical background is required beyond basic arithmetic. Start building your essential mathematical foundation today.