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.
Этот курс входит в специализацию ''Специализация Differential Calculus through Data and Modeling'
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Специализация Differential Calculus through Data and ModelingУниверситет Джонса ХопкинсаОб этом курсе
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Курс 1 из 4 в программе
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Прибл. 8 часов на выполнение
Английский
Субтитры: Английский
Гибкие сроки
Назначьте сроки сдачи в соответствии со своим графиком.
Сертификат, ссылками на который можно делиться с другими людьми
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100% онлайн
Начните сейчас и учитесь по собственному графику.
Курс 1 из 4 в программе
Начальный уровень
Прибл. 8 часов на выполнение
Английский
Субтитры: Английский
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Университет Джонса Хопкинса
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.
Программа курса: что вы изучите
2 ч. на завершение
Exponential and Logarithmic Functions
In this module, we will review some of the key concepts from Precalculus. Exponential and logarithmic functions arise often when modeling natural phenomena, and are important to Calculus. In applied settings, exponential functions model a relationship in which a constant change in the independent variable gives the same proportional change (i.e., percentage increase or decrease) in the dependent variable. This occurs widely in the natural and social sciences, as in a self-reproducing population, a fund accruing compound interest, or a growing body of manufacturing expertise. Thus, the exponential function also appears in a variety of contexts within physics, chemistry, engineering, mathematical biology, and economics.
2 ч. на завершение
4 видео ((всего 74 мин.)), 1 материал для самостоятельного изучения, 1 тест
3 ч. на завершение
Trigonometric Functions
Equally important are the trigonometric functions, some of the most well-known examples of periodic or cyclic functions. Common phenomena have an oscillatory, or periodic, behavior. This is observed through ocean waves, sound waves, or even the regular beating of your heart. All these phenomena can be modeled using equations based on the familiar sine and cosine functions. In this module, we will see how to apply and construct functions that permit us to model cyclic behavior.
3 ч. на завершение
4 видео ((всего 104 мин.)), 2 материалов для самостоятельного изучения, 1 тест
1 ч. на завершение
Vectors in Space
In classical Euclidean geometry, vectors are an equivalence class of directed segments with the same magnitude (e.g., the length of the line segment (A, B)) and same direction (e.g., the direction from A to B). Vectors are used both in abstract sense as well as for applications, particularly in physics, Euclidean vectors are used to represent physical quantities that have both magnitude and direction, but are not located at a specific place, in contrast to scalars, which have no direction. For example, velocity, forces and acceleration are represented by vectors. In this module, we will study vectors specifically in the xy-plane and in "3D" space.
1 ч. на завершение
2 видео ((всего 47 мин.)), 1 материал для самостоятельного изучения, 1 тест
2 ч. на завершение
Equations of Lines and Planes
Continuing our study of multi-dimensional analytic geometry, vectors are now applied to create algebraic equations to describe common objects like lines and planes in space. This module will test your ability to visualize algebraic equations and to create movement and thus control of these objects in space by performing algebraic manipulations. This will create a solid foundation for our study of multivariable calculus on these higher dimensional objects.
2 ч. на завершение
2 видео ((всего 52 мин.)), 1 материал для самостоятельного изучения, 1 тест
1 ч. на завершение
Precalculus Review Final Exam
The assessment below will help to identify strengths as weaknesses in your foundational material in order to be successful in single and multivariable differentiable calculus. Use the assessment below as a guide as to where to follow up and seek out more resources and examples.
1 ч. на завершение
Рецензии
Лучшие отзывы о курсе CALCULUS THROUGH DATA & MODELING: PRECALCULUS REVIEW
от партнера AN4 мая 2021 г.
A solid foundation for single and multivariable calculus courses, and one that can be completed in relatively little time as well!
от партнера EL13 февр. 2021 г.
This course has great lessons, provides excellent sample problems to understand the concepts, and it has an amazing professor.
Специализация Differential Calculus through Data and Modeling: общие сведения
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.
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