Master the fundamentals of calculus in this comprehensive 9-hour course. Explore essential concepts including limits, continuity, derivatives, and integrals. Begin with graphs and limits, progressing through limit laws, the Squeeze Theorem, and continuity. Dive into derivatives, learning computation methods, rules, and applications. Study implicit differentiation, logarithmic differentiation, and inverse trigonometric functions. Analyze related rates, extrema, and the Mean Value Theorem. Investigate the shape of graphs using derivatives and apply techniques like linear approximation and Newton's Method. Conclude with antiderivatives, the Fundamental Theorem of Calculus, and integration techniques. Gain a solid foundation in calculus principles through detailed explanations, proofs, and practical examples.