Foundational Calculus and Algebra for STEM

Many foundational STEM concepts rely on a deep understanding of advanced high school mathematics, often presenting a significant barrier for new students. This course provides a robust, text-based introduction to the core topics of calculus, algebra, and geometry, enabling you to confidently tackle complex problem sets and prepare for rigorous academic study. What you'll learn: * Understand the principles of functions, limits, and continuity required for higher analysis. * Master differentiation techniques and their applications in curve sketching and optimization problems. * Apply integral calculus concepts to calculate areas, volumes, and solve basic differential equations. * Practice advanced algebraic manipulation, including complex numbers, quadratic equations, and sequences/series. * Analyze and solve problems using two and three-dimensional coordinate geometry, including conic sections. * Learn to structure mathematical proofs and verify solutions rigorously using foundational definitions. The course begins by establishing key terminology and foundational definitions in algebra and function theory. We then systematically progress through differential and integral calculus, concluding with applied geometry and advanced problem-solving techniques designed to build analytical strength. This course is designed for beginners: aspiring engineering students, science majors, or anyone seeking a rigorous foundation in advanced mathematics. No prior college-level math knowledge is required. Start building your essential mathematical toolkit today.