Calculus: Single Variable Part 2 - Differentiation
- 4.8
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Course Summary
This course on Differentiation Calculus is designed for students who want to master the art of calculus and become proficient in differentiation. The course covers the basics of calculus, including limits, derivatives, and integrals, and builds on this knowledge to teach more advanced topics.Key Learning Points
- Learn the basics of calculus, including limits and derivatives
- Master advanced topics like optimization and related rates
- Apply calculus to real-world problems and scenarios
Related Topics for further study
Learning Outcomes
- Understand the basics of calculus and differentiation
- Apply calculus to real-world problems
- Master advanced topics like optimization and related rates
Prerequisites or good to have knowledge before taking this course
- Basic algebra knowledge
- Familiarity with functions and graphs
Course Difficulty Level
IntermediateCourse Format
- Video lectures
- Quizzes
- Assignments
Similar Courses
- Integral Calculus
- Multivariable Calculus
- Differential Equations
Related Education Paths
Notable People in This Field
- Salman Khan
- Grant Sanderson
Related Books
Description
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.
Outline
- A New Look at Differentiation
- Derivatives
- Differentiation Rules
- BONUS!
- How Grading Works
- Your Guide to Getting Started in this Course
- Core Homework: Derivatives
- Challenge Homework: Derivatives
- Core Homework: Differentiation Rules
- Challenge Homework: Differentiation Rules
- Putting Derivatives to Work
- Linearization
- Higher Derivatives
- BONUS!
- Optimization
- BONUS!
- Core Homework: Linearization
- Challenge Homework: Linearization
- Core Homework: Higher Derivatives
- Challenge Homework: Higher Derivatives
- Core Homework: Optimization
- Challenge Homework: Optimization
- Differentials and Operators
- Differentials
- Differentiation Operator
- BONUS!
- About the Chapter 2 Exam
- Core Homework: Differentials
- Challenge Homework: Differentials
- Core Homework: Differentiation Operator
- Challenge Homework: Differentiation Operator
- Chapter 2: Differentiation - Exam
Summary of User Reviews
The Differentiation Calculus course on Coursera has received positive reviews overall. Many users found the course to be well-structured and easy to follow, with clear explanations and helpful examples.Key Aspect Users Liked About This Course
The course is well-structured and easy to follow.Pros from User Reviews
- Clear explanations and helpful examples
- Engaging and interactive course material
- Great for beginners and those looking to refresh their knowledge
- Flexible schedule allows for self-paced learning
- Instructors are knowledgeable and responsive to questions
Cons from User Reviews
- Some users found the course to be too basic
- The course may not be challenging enough for advanced learners
- Limited opportunities for peer interaction or collaboration
- Some technical issues with the platform or course materials
- Not all topics are covered in depth
Robert Ghrist
4.8 Raiting
Calculus 1C: Coordinate Systems & Infinite Series
- 0.0
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Master the calculus of curves and coordinate systems—approximate functions with polynomials and infinite series. Part 3 of 3. How did Newton describe the orbits of the planets?...
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- 4.6
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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....
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- 4.7
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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....
Calculus: Single Variable Part 4 - Applications
- 4.9
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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....
