Calculus through Data & Modeling: Limits & Derivatives
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Course Summary
Calculus Through Data and Modeling is a course that teaches calculus concepts through real-world data and modeling scenarios. It's designed for students who want to learn calculus in a more applied and practical way.Key Learning Points
- Learn calculus concepts through real-world data and modeling scenarios
- Develop problem-solving skills using calculus
- Gain practical experience in calculus applications
Related Topics for further study
Learning Outcomes
- Apply calculus concepts to real-world scenarios
- Develop problem-solving skills using calculus
- Gain practical experience in calculus applications
Prerequisites or good to have knowledge before taking this course
- Basic understanding of algebra and geometry
- Familiarity with functions and graphs
Course Difficulty Level
IntermediateCourse Format
- Self-paced
- Online
- Video Lectures
Similar Courses
- Applied Calculus
- Calculus 1A: Differentiation
- Data Analysis and Presentation Skills: the PwC Approach
Related Education Paths
Notable People in This Field
- Creator of 3Blue1Brown
- Founder of Khan Academy
Related Books
Description
This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function. In mathematics, the derivative measures the sensitivity to change of the function. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. This fundamental notion will be applied through the modelling and analysis of data.
Outline
- The Limit of a Function
- Introduction to Limits
- The Tangent Problem
- Finding Limits with Graphs and Tables
- One-Sided Limits
- Limits Involving Infinity
- Notes: The Limit of a Function
- Sample Problems: The Limit of a Function
- The Limit of a Function
- The Limit Laws
- Limit Laws
- Examples to Find Limits
- Squeeze Theorem
- Notes: The Limit Laws
- The Limit Laws
- Continuity
- Continuity
- More on Continuity
- Intermediate Value Theorem
- Notes: Continuity
- Sample Problems: Continuity
- Continuity
- Limits at Infinity
- Limits at Infinity
- Notes: Limits at Infinity
- Sample Problems: Limits at Infinity
- Limits at Infinity
- Derivatives
- Introduction to Derivatives
- Using Limits to Find the Slope of a Tangent Line
- Derivatives
- Examples Using the Limit Definition of the Derivative
- The Derivative As a Function
- Differentiability and Continuity
- Higher Derivatives
- Notes: Derivatives
- Sample Problems: Derivatives
- Derivatives
- Final Project
Summary of User Reviews
Read reviews of the Calculus Through Data and Modelling with Derivatives course on Coursera. Many users found the course to be engaging and practical, with a strong focus on real-world applications of calculus.Key Aspect Users Liked About This Course
Real-world applications of calculusPros from User Reviews
- Engaging and practical course
- Great emphasis on real-world applications of calculus
- Excellent instructor and teaching materials
- Good pacing and structure
- Great for beginners and those looking to refresh their calculus knowledge
Cons from User Reviews
- Some users found the course material to be too basic
- Not suitable for advanced learners or those looking for a more theoretical approach
- Some users found the quizzes and assignments to be too easy
- Limited interaction with other students in the course
- No certificate available for auditing the course
Joseph W. Cutrone, PhDTop Instructor
4.8 Raiting
AP® Calculus: Challenging Concepts from Calculus AB & Calculus BC
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Master the most difficult topics in your AP® Calculus AB & Calculus BC courses. Topics include: AB/BC: Limits AB/BC: Definition of Derivative...
Calculus through Data & Modeling: Limits & Derivatives
- 4.8
-
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This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function....
