Calculus: Single Variable Part 2 - Differentiation
Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences.
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- Level Foundation
- Duration 11 hours
- Course by University of Pennsylvania
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Offered by
About
Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach. In this second part--part two of five--we cover derivatives, differentiation rules, linearization, higher derivatives, optimization, differentials, and differentiation operators.Modules
About the Course
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2
Readings
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1
Assignment
1
Assignment
- Learning Style Preference Survey
2
Readings
- How Grading Works
- Your Guide to Getting Started in this Course
Derivatives
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1
Videos
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2
Assignment
2
Assignment
- Core Homework: Derivatives
- Challenge Homework: Derivatives
1
Videos
- Derivatives
Differentiation Rules
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2
Videos
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2
Assignment
2
Assignment
- Core Homework: Differentiation Rules
- Challenge Homework: Differentiation Rules
2
Videos
- Differentiation Rules
- BONUS!
Linearization
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1
Videos
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2
Assignment
2
Assignment
- Core Homework: Linearization
- Challenge Homework: Linearization
1
Videos
- Linearization
Higher Derivatives
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2
Videos
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2
Assignment
2
Assignment
- Core Homework: Higher Derivatives
- Challenge Homework: Higher Derivatives
2
Videos
- Higher Derivatives
- BONUS!
Optimization
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2
Videos
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2
Assignment
2
Assignment
- Core Homework: Optimization
- Challenge Homework: Optimization
2
Videos
- Optimization
- BONUS!
Differentials
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1
Videos
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2
Assignment
2
Assignment
- Core Homework: Differentials
- Challenge Homework: Differentials
1
Videos
- Differentials
Differentiation Operator
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2
Videos
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2
Assignment
2
Assignment
- Core Homework: Differentiation Operator
- Challenge Homework: Differentiation Operator
2
Videos
- Differentiation Operator
- BONUS!
Chapter 2 Review & Exam
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1
Readings
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1
Assignment
1
Assignment
- Chapter 2: Differentiation - Exam
1
Readings
- About the Chapter 2 Exam
Auto Summary
"Calculus: Single Variable Part 2 - Differentiation" offered through Coursera is a foundational course in the Maths & Statistics domain, perfect for students embarking on studies in engineering, physical sciences, and social sciences. This engaging course, led by experienced instructors, delves into key differentiation concepts such as derivatives, differentiation rules, linearization, higher derivatives, optimization, differentials, and differentiation operators. Spanning a duration of 660 minutes, the course emphasizes a deep conceptual understanding over computational methods and incorporates unique elements like Taylor series from the outset and a blend of discrete and continuous calculus forms. Learners can choose from Starter or Professional subscription options for flexible access. Ideal for beginners, this dynamic and unified approach to single-variable calculus ensures a comprehensive grasp of the subject, preparing students for advanced applications in various scientific fields.
Robert Ghrist