Calculus through Data & Modeling: Precalculus Review
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.
Monthly Subscription Starting at AED 99 + VAT
- Level Foundation
- Duration 8 hours
- Course by Johns Hopkins University
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Offered by
About
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.Modules
Exponential and Logarithmic Functions
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4
Videos
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1
Readings
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1
Quiz
4
Videos
- Exponential Functions
- Logarithmic Functions
- The Natural Logarithm
- Properties of Logarithms
1
Readings
- Sample Problems: Exponential and Logarithmic Functions
1
Quiz
- Exponential and Logarithmic Functions
Trigonometric Functions
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4
Videos
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2
Readings
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1
Quiz
4
Videos
- Sine and Cosine
- Tangent, Cotangent, Secant, and Cosecant
- (Some) Trig Identities
- (Some More) Trig Identities
2
Readings
- Trigonometry Review
- Sample Problems: Trigonometric Functions
1
Quiz
- Trigonometric Functions
Vectors in Space
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2
Videos
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1
Readings
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1
Quiz
2
Videos
- Introduction to Vectors
- Dot Product and Cross Product
1
Readings
- Sample Problems: Vectors in Space
1
Quiz
- Vectors in Space
Equations of Lines and Planes
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2
Videos
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1
Readings
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1
Quiz
2
Videos
- Equations of Lines in Space
- Equations of Planes in Space
1
Readings
- Sample Problems: Equations of Lines and Planes
1
Quiz
- Equations of Lines and Planes
Precalculus Review Final Exam
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1
Quiz
1
Quiz
- Precalculus Review Final Exam
Auto Summary
Dive into the world of mathematics with the "Calculus through Data & Modeling: Precalculus Review" course, designed to provide a solid foundation for further studies in single and multivariable calculus. This course takes an investigative and applications-oriented approach, focusing on a deep understanding of essential mathematical functions such as polynomial, rational, exponential, logarithmic, and trigonometric functions. Perfect for those looking to strengthen their precalculus skills, this course emphasizes the use of these functions to model and analyze data effectively. You will engage with graphing calculators and computer applications as integral tools throughout the learning process, ensuring a hands-on and practical experience. Spanning a comprehensive 480 hours, this foundational-level course is available via Coursera with a flexible subscription plan, making it accessible for learners at different stages of their mathematical journey. Whether you're a student preparing for advanced calculus or a professional seeking to refresh your skills, this course offers a thorough and engaging way to enhance your mathematical expertise.
Joseph W. Cutrone, PhD