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Welcome to Calculus. This course is the mathematical language of change and motion, providing the essential tools for nearly every field of engineering and science. We will begin by building a solid foundation in functions and the crucial concept of the limit. With this framework, we will explore the two main branches of calculus: differentiation, which allows us to analyze instantaneous rates of change and optimize systems, and integration, which lets us accumulate quantities and calculate areas and volumes. Mastering calculus will equip you with the ability to model, analyze, and solve complex, dynamic problems.
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1.6: Limits Involving Infinity
1.7: Continuity and Discontinuity
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2.1: Derivatives and Rates of Change
2.3: Derivative of Special Functions
2.4: Advanced Rules of Differentiation
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3.3: Techniques of Integration
3.4: Applications of Integration
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