Single Variable Calculus Fundamentals

Calculus is a fundamental branch of mathematics essential for understanding change and motion across many scientific and engineering disciplines. This course will guide you through the core principles of single variable calculus, empowering you to approach complex problems with a robust analytical toolkit. What you'll learn: * Understand the concept of limits and continuity for functions. * Master differentiation techniques and their applications to optimization and related rates. * Learn about integrals, the Fundamental Theorem of Calculus, and techniques for calculating areas and volumes. * Apply calculus principles to model and solve real-world problems in various fields. * Practice foundational numerical approximation methods for derivatives and integrals. * Explore infinite sequences and series, including convergence tests and power series. The course progresses from fundamental definitions and theorems to practical problem-solving strategies, building your understanding step-by-step. This course is specifically designed for absolute beginners with no prior calculus knowledge, providing a clear and accessible introduction to the subject. Begin your journey into the powerful world of calculus today.