Calculus through Data & Modeling: Precalculus Review
- 4.9
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Course Summary
This course teaches calculus through real-world data and modeling, with a precalculus review. Students will learn how to apply calculus to solve problems in fields such as economics, biology, and physics.Key Learning Points
- Real-world applications of calculus
- Modeling with data
- Precalculus review
Job Positions & Salaries of people who have taken this course might have
- Data Analyst
- USA: $64,000 - $117,000
- India: ₹ 3,00,000 - ₹ 16,00,000
- Spain: €25,000 - €60,000
- Economist
- USA: $60,000 - $130,000
- India: ₹ 4,00,000 - ₹ 20,00,000
- Spain: €20,000 - €80,000
- Physicist
- USA: $60,000 - $170,000
- India: ₹ 3,00,000 - ₹ 25,00,000
- Spain: €21,000 - €55,000
Related Topics for further study
Learning Outcomes
- Understand the fundamentals of calculus and its applications
- Learn to use data to build models and solve problems
- Gain a deeper understanding of the real-world applications of calculus
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of algebra and trigonometry
- Familiarity with graphing functions
Course Difficulty Level
IntermediateCourse Format
- Online
- Self-paced
- Video lectures
- Interactive exercises
Similar Courses
- Mathematical Thinking in Computer Science
- Introduction to Data Science in Python
Related Education Paths
Related Books
Description
This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus. The unifying theme is the study of functions, including polynomial, rational, exponential, logarithmic, and trigonometric functions. An emphasis is placed on using these functions to model and analyze data. Graphing calculators and/or the computer will be used as an integral part of the course.
Outline
- Exponential and Logarithmic Functions
- Exponential Functions
- Logarithmic Functions
- The Natural Logarithm
- Properties of Logarithms
- Sample Problems: Exponential and Logarithmic Functions
- Exponential and Logarithmic Functions
- Trigonometric Functions
- Sine and Cosine
- Tangent, Cotangent, Secant, and Cosecant
- (Some) Trig Identities
- (Some More) Trig Identities
- Trigonometry Review
- Sample Problems: Trigonometric Functions
- Trigonometric Functions
- Vectors in Space
- Introduction to Vectors
- Dot Product and Cross Product
- Sample Problems: Vectors in Space
- Vectors in Space
- Equations of Lines and Planes
- Equations of Lines in Space
- Equations of Planes in Space
- Sample Problems: Equations of Lines and Planes
- Equations of Lines and Planes
- Precalculus Review Final Exam
- Precalculus Review Final Exam
Summary of User Reviews
Learn calculus through data and modeling with this precalculus review course on Coursera. Users have enjoyed the interactive lessons and real-world applications, leading to high overall ratings.Key Aspect Users Liked About This Course
Real-world applicationsPros from User Reviews
- Interactive lessons
- Real-world applications
- Great for visual learners
- Clear explanations
- Good pacing
Cons from User Reviews
- Not enough practice problems
- Difficult for beginners
- Some technical issues with video lectures
- Not enough focus on theory
- Limited interaction with instructors
Joseph W. Cutrone, PhDTop Instructor
4.9 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...
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Calculus through Data & Modeling: Precalculus Review
- 4.9
-
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This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus....
