What you will learn in Calculus: Single Variable Part 2 – Differentiation Course
Understand the foundational concepts of differentiation in single-variable calculus.
Learn about derivatives, differentiation rules, linearization, higher derivatives, optimization, differentials, and differentiation operators.
Apply differentiation techniques to solve real-world problems in engineering, physics, and economics.
Program Overview
A New Look at Differentiation
⏳ 3 hours
- Reconsider the concept of derivatives beyond slopes, introducing asymptotic (big-O) notation to describe and understand rates of change and the rules that govern them.
Putting Derivatives to Work
⏳ 3 hours
- Explore core applications of derivatives, including linearization, higher derivatives, and optimization, to see how understanding asymptotics assists in building applications of the derivative.
Differentials and Operators
⏳ 2 hours
- Delve into the concept of differentials, arising from implicit differentiation, revealing a deeper level of understanding of what differentiation means.
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Job Outlook
Enhances mathematical proficiency for careers in engineering, data science, and computational modeling.
Provides a solid foundation for advanced studies in mathematical theory and analysis.
Completing this course can bolster qualifications for roles requiring strong analytical and problem-solving skills.
Specification: Calculus: Single Variable Part 2 – Differentiation
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