Cálculo: Introducción conceptual | Parte B: Integrales
Qué está incluido
10 reuniones en vivo
8 horas 20 minutos horas presencialesExperiencia 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 semanasLección 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.
Reseñas
Curso grupal en vivo
20 US$
semanalmente o 200 US$ por 10 clases1 x por semana, 10 semanas
50 min
Videoconferencias en vivo
Edades: 15-18
3-6 alumnos por clase
Asistencia financiera
Tutoría
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