function analysisMathematical OptimizationvectorsData AnalysisModelling
Programa especializado: Differential Calculus through Data and Modeling
Learn differentiable Calculus through modelling. Master differentiation techniques for common single and multivariable functions to apply to optimization problems.
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Programa especializado: Differential Calculus through Data and ModelingUniversidad Johns HopkinsQué aprenderás
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.
Habilidades que obtendrás
Acerca de este Programa Especializado
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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.
Proyecto de aprendizaje aplicado
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.
Certificado para compartir
Obtén un certificado al finalizar
Cursos 100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Cronograma flexible
Establece y mantén fechas de entrega flexibles.
Nivel intermedio
Students should have a working knowledge of precalculus before starting this course.
Aproximadamente 6 meses para completarse
Ritmo sugerido de 2 horas/semana
Inglés (English)
Subtítulos: Inglés (English)
Certificado para compartir
Obtén un certificado al finalizar
Cursos 100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Cronograma flexible
Establece y mantén fechas de entrega flexibles.
Nivel intermedio
Students should have a working knowledge of precalculus before starting this course.
Aproximadamente 6 meses para completarse
Ritmo sugerido de 2 horas/semana
Inglés (English)
Subtítulos: Inglés (English)
Cómo funciona el programa especializado
Toma cursos
Un programa especializado de Coursera es un conjunto de cursos que te ayudan a dominar una aptitud. Para comenzar, inscríbete en el programa especializado directamente o échale un vistazo a sus cursos y elige uno con el que te gustaría comenzar. Al suscribirte a un curso que forme parte de un programa especializado, quedarás suscrito de manera automática al programa especializado completo. Puedes completar solo un curso: puedes pausar tu aprendizaje o cancelar tu suscripción en cualquier momento. Visita el panel principal del estudiante para realizar un seguimiento de tus inscripciones a cursos y tu progreso.
Proyecto práctico
Cada programa especializado incluye un proyecto práctico. Necesitarás completar correctamente el proyecto para completar el programa especializado y obtener tu certificado. Si el programa especializado incluye un curso separado para el proyecto práctico, necesitarás completar cada uno de los otros cursos antes de poder comenzarlo.
Obtén un certificado
Cuando completes todos los cursos y el proyecto práctico, obtendrás un Certificado que puedes compartir con posibles empleadores y tu red profesional.
Hay 4 cursos en este Programa Especializado
Calculus through Data & Modeling: Precalculus Review
18 calificaciones
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
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
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
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.
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Universidad Johns Hopkins
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.
Preguntas Frecuentes
¿Recibiré crédito universitario por completar el programa especializado?
Can I just enroll in a single course?
¿Puedo inscribirme en un solo curso?
Can I take the course for free?
¿Puedo tomar este curso de manera gratuita?
¿Este curso es 100 % en línea? ¿Necesito asistir a alguna clase en persona?
¿Cuánto tiempo se necesita para completar un programa especializado?
Do I need to take the courses in a specific order?
Will I earn university credit for completing the Specialization?
¿Recibiré crédito universitario por completar el programa especializado?
¿Tienes más preguntas? Visita el Centro de Ayuda al Alumno.
