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Cálculo: Introducción conceptual | Parte B: Integrales

Este curso de 10 semanas enseña las bases conceptuales que sustentan el cálculo y explora ejemplos divertidos de su aplicación. Con un enfoque en las ideas y la belleza del cálculo, los estudiantes desarrollarán una comprensión profunda de este arte.
Mr. Oaks
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(74)
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Qué está incluido

10 reuniones en vivo
8 horas 20 minutos horas presenciales

Experiencia de clase

Nivel de inglés: desconocido
Grado de EE. UU. 10 - 12
This 10-week course teaches the conceptual groundwork that upholds calculus and explores fun examples of its application. With a focus on the ideas and the beauty of calculus, students will develop a rich understanding of this art.

This class is NOT a replacement for a standard calculus course. While we will be solving problems and performing calculations in class, it does not drill calculus problem-solving or cover all of the topics that are in a first-year calculus course. Instead, we focus on developing a conceptual understanding an appreciation, filled with fun real-world anecdotes and applications. Then who is this course for? Students who intend to take calculus and would like a preview that will help them succeed in their coming course, students who are currently enrolled in a course, students who have already studied calculus and would like to fortify their understanding, as well as students who don't intend to pursue a mathematically technical education but would still like to experience the beauty of calculus.

This course is offered in two parts. Part A: Derivatives and Part B: Integrals represent the two main concepts that make up calculus, roughly corresponding to the first and second halves of an introductory course. However, the standard ordering of these courses is somewhat arbitrary: derviatives and integrals are two sides of the same coin, and neither one is naturally *first*. Thus, I have designed these courses so that they may be taken in any order, or even concurrently!

The textbook for this course is Change Is the Only Constant: The Wisdom of Calculus in a Madcap World by Ben Orlin. Students are encouraged but not required to purchase the text. The text provides a more complete (and more humorous!) exploration of the concepts we will discuss in class.

Our class topics will be as follows (corresponding textbook chapters noted as well):
Lesson 1: Infinite Sums (ch. XVI & XVII)
Lesson 2: Approximation Techniques (ch. XVIII)
Lesson 3: Fundamental Theorem of Calculus (ch. XIX)
Lesson 4: Integration Rules (ch. XXI)
Lesson 5: Summing Happiness (ch. XXIII)
Lesson 6: Mean Value Theorem (ch. XXVI)
Lesson 7: Volumes of Solids (ch. XIV, XXV)
Lesson 8: Integrals to Infinity (ch. XXVII)
Lesson 9: Calculus in Statistics (ch. XXVIII)
Lesson 10: Wrapping Up

Programa de estudios

10 Lecciones
más de 10 semanas
Lección 1:
Infinite Sums
50 minutos de lección en vivo en línea
Lección 2:
Approximation Techniques
50 minutos de lección en vivo en línea
Lección 3:
Fundamental Theorem of Calculus
50 minutos de lección en vivo en línea
Lección 4:
Integration Rules
50 minutos de lección en vivo en línea

Otros detalles

Lista de útiles escolares
The textbook for this course is Change Is the Only Constant: The Wisdom of Calculus in a Madcap World by Ben Orlin. Students are encouraged but not required to purchase the text. The text provides a more complete (and more humorous!) exploration of the concepts we will discuss in class.
Recursos externos
Los estudiantes no necesitarán utilizar ninguna aplicación o sitio web más allá de las herramientas estándar de Outschool.
Se unió el November, 2022
5.0
74reseñas
Educador estrella
Perfil
Experiencia y certificaciones del docente
Licenciatura en Matemáticas desde Bloomsburg University of Pennsylvania
B.S. Mathematics

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Curso grupal en vivo
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20 US$

semanalmente o 200 US$ por 10 clases
1 x por semana, 10 semanas
50 min

Videoconferencias en vivo
Edades: 15-18
3-6 alumnos por clase

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