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Calculus 1

Calculus 1

Calculus 1, also known as differential calculus, is the branch of mathematics focused on the concepts of limits, derivatives, and the behavior of functions. It introduces fundamental principles such as the definition of the derivative, which measures how a function changes as its input changes. Key topics include the rules of differentiation, the application of derivatives to find tangents, and the optimization of functions. Students also learn about limits and continuity, essential for understanding instantaneous rates of change. Graphical analysis is emphasized, helping students visualize concepts such as slope and curvature. Calculus 1 sets the foundation for advanced studies in mathematics and sciences.
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Limits and continuity
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Derivatives: definition and basic rules
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Derivatives: chain rule and other advanced topics
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Applications of derivatives
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Analyzing functions
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Integrals
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Differential equations
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Applications of integrals