Descriptions
Calculus: Single Variable Part 2 – Differentiation, Offered by University of Pennsylvania. This continuation of single-variable calculus focuses on differentiation and its applications. Topics include a review of limits and continuity, the formal definition of the derivative, standard derivative rules (power, product, quotient, chain), implicit differentiation, higher-order derivatives, the mean value theorem, linearization and differentials, optimization problems, related rates, applications to motion and modeling, and techniques for analyzing and sketching curves. Through lectures, worked examples, and exercises you will develop procedural fluency in computing derivatives and apply them to solve real-world problems.
What you’ll learn
- Review limits and continuity and connect them to the derivative concept
- Understand and use the formal definition of the derivative
- Apply derivative rules: power, product, quotient and chain rules
- Perform implicit differentiation and compute higher-order derivatives
- Use the mean value theorem and linearization for approximation
- Formulate and solve optimization and related rates problems
- Analyze and sketch curves using derivatives (critical points, concavity, inflection)
- Apply derivatives to motion, modeling, and real‑world problem solving
Who this course is for
- Students preparing for university‑level calculus and STEM programs
- Learners who completed Part 1 and want to continue with differentiation
- Science and engineering students who need applied calculus skills
- Anyone seeking a solid practical foundation in differential calculus
Specificatoin of Calculus: Single Variable Part 2 – Differentiation
- Publisher : Coursera
- Teacher : Robert Ghrist
- Language : English
- Level : All Levels
- Number of Course : 3
- Duration : 9 hours to complete
Content of Calculus: Single Variable Part 2 – Differentiation
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Subtitle : English
Quality: 720p
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