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Calculus: Single Variable Part 2 – Differentiation

An engaging and practical course that offers valuable insights into differentiation, perfect for learners aiming to improve their analytical skills in mathematics and engineering.

access

Lifetime

level

Beginner

certificate

Certificate of completion

language

English

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.

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  • 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.

9.7Expert Score
Highly Recommended
The "Calculus: Single Variable Part 2 - Differentiation" course offers a comprehensive and structured approach to mastering essential mathematical concepts. It's particularly beneficial for individuals seeking to enhance their analytical skills for academic or professional purposes.
Value
9
Price
9.2
Skills
9.6
Information
9.7
PROS
  • Taught by experienced instructors from the University of Pennsylvania.
  • Includes interactive exercises and quizzes for each lesson.
  • Applicable to both academic and professional pursuits.
CONS
  • Requires commitment to complete all modules for certification.
  • Some learners may seek more extensive coverage of advanced topics.

Specification: Calculus: Single Variable Part 2 – Differentiation

access

Lifetime

level

Beginner

certificate

Certificate of completion

language

English

Calculus: Single Variable Part 2 – Differentiation
Calculus: Single Variable Part 2 – Differentiation
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