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微積分:概念介紹 | B 部分:積分

新班級
年齡 15-18
現場團體課程
這門為期 10 週的課程教授微積分的概念基礎,並探索其應用的有趣範例。透過關注微積分的思想和之美,學生將對這門藝術產生豐富的理解。
平均評分:
5.0
評論數量:
(76 評論)
明星教育家
熱門課程

即時視訊會議
每週1次,共 10 週
3-6 名學習者(每班)
50 分鐘

包含什麼

10 現場會議
8 小時 20 分鐘 上課時間
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課堂經歷

英語程度 - 未知
美國 10 - 12 年級
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

教學大綱

10 課程
超過 10 週
課 1:
Infinite Sums
50 分鐘線上直播課
課 2:
Approximation Techniques
50 分鐘線上直播課
課 3:
Fundamental Theorem of Calculus
50 分鐘線上直播課
課 4:
Integration Rules
50 分鐘線上直播課

其他詳情

供應清單
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.
外部資源
學習者無需使用標準 Outschool 工具以外的任何應用程式或網站。

認識老師

已加入 November, 2022
5.0
76評論
明星教育家
熱門課程
教師檔案
教師專業知識和證書
學士學位 在 數學 從 Bloomsburg University of Pennsylvania
B.S. Mathematics

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