- function analysis
- Mathematical Optimization
- vectors
- Data Analysis
- Modelling
Differential Calculus through Data and Modeling 專項課程
Learn differentiable Calculus through modelling. Master differentiation techniques for common single and multivariable functions to apply to optimization problems.
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您將學到的內容有
Model data with both single and multivariable functions
Find maximum and minimum values of both single and multivariable functions, with and without constraints, to find optimal solutions to problems.
Understand properties of different types of functions to apply them accordingly to model different situations.
Perform operations of differential calculus, such as finding velocity, acceleration, rates of change, and slopes of tangent lines.
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關於此 專項課程
3,464 次近期查看
This specialization provides an introduction to topics in single and multivariable calculus, and focuses on using calculus to address questions in the natural and social sciences. Students will learn to use the tools of calculus to process, analyze, and interpret data, and to communicate meaningful results, using scientific computing and mathematical modeling. Topics include functions as models of data, differential and integral calculus of functions of one and several variables, differential equations, and optimization and estimation techniques.
應用的學習項目
In each module, learners will be provided with solved sample problems that they can use to build their skills and confidence followed by graded quizzes to demonstrate what they've learned. Through a cumulative project, students will apply their skills to model the cost of a construction project through a real topographical terrain with the goal of finding the optimal cost to complete the project given certain constraints.
可分享的證書
完成後獲得證書
100% 在線課程
立即開始，按照自己的計劃學習。
靈活的計劃
設置並保持靈活的截止日期。
中級
Students should have a working knowledge of precalculus before starting this course.
完成課程大約需要 6 個月
建議進度：2 小時/週
英語（English）
字幕：英語（English）
可分享的證書
完成後獲得證書
100% 在線課程
立即開始，按照自己的計劃學習。
靈活的計劃
設置並保持靈活的截止日期。
中級
Students should have a working knowledge of precalculus before starting this course.
完成課程大約需要 6 個月
建議進度：2 小時/週
英語（English）
字幕：英語（English）
專項課程的運作方式
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實踐項目
每個專項課程都包括實踐項目。您需要成功完成這個（些）項目才能完成專項課程並獲得證書。如果專項課程中包括單獨的實踐項目課程，則需要在開始之前完成其他所有課程。
獲得證書
在結束每門課程並完成實踐項目之後，您會獲得一個證書，您可以向您的潛在雇主展示該證書並在您的職業社交網絡中分享。
此專項課程包含 4 門課程
Calculus through Data & Modeling: Precalculus Review
51 個評分
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.
Calculus through Data & Modeling: Limits & Derivatives
139 個評分
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.
Calculus through Data & Modeling: Differentiation Rules
20 個評分
Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing new rules for finding derivatives without having to use the limit definition directly. These differentiation rules will enable the calculation of rates of change with relative ease the derivatives of polynomials, rational functions, algebraic functions, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions. Once these rules are developed, they are then applied to solve problems involving rates of change and the approximation of functions.
Calculus through Data & Modeling: Applying Differentiation
19 個評分
As rates of change, derivatives give us information about the shape of a graph. In this course, we will apply the derivative to find linear approximations for single-variable and multi-variable functions. This gives us a straightforward way to estimate functions that may be complicated or difficult to evaluate. We will also use the derivative to locate the maximum and minimum values of a function. These optimization techniques are important for all fields, including the natural sciences and data analysis. The topics in this course lend themselves to many real-world applications, such as machine learning, minimizing costs or maximizing profits.
提供方
约翰霍普金斯大学
The mission of The Johns Hopkins University is to educate its students and cultivate their capacity for life-long learning, to foster independent and original research, and to bring the benefits of discovery to the world.
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