微積分AB
在這個為期一年的課程中，我們將涵蓋微積分 AB 的內容，目的是為學生準備 5 月的 AP 考試。
Esther Goldberger
平均評分：
5.0
評論數量：(3)
包含什麼
32 現場會議
40 上課時間作業
每週 2-4 小時. Students will be assigned weekly homework, with solutions released the following week. Homework will be self-graded, but I will be happy to discuss homework questions at any time.評估
This course will have 6 timed unit assessments, with a particular aim of familiarizing students with AP-style questions. At the end of the course, students will complete a full AP practice exam as the final exam.等級
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課堂經歷
英語程度 - 未知
美國 10 - 12 年級
In this course, we will cover the material in Calculus AB, with an aim to prepare you for the AP exam. The course will consist of 30 live lectures, divided into 6 units (Note that the AP curriculum is divided into 8 units - we will cover those units, but units 2 & 3 are consolidated, as are units 4 & 5): 1. Limits and continuity 2. The derivative 3. Applications of the derivative 4. The integral 5. Applications of the integral 6. Differential Equations Each class will consist of 30-45 minutes, broken into 10-15 minute mini-lessons, in which I'll introduce the material. Stylistically, I'll be using a combination of direct exposition and targeted questions aimed at guiding students to a deeper understanding. Each topic will then be followed with immediate applications, with a focus on AP multiple choice and free response problems. At all times, students will be highly encouraged to ask questions. Finally, with an aim to increasing student engagement, I will require that students have their video on for the duration of the class. I can make a limited number of exceptions in extenuating circumstances, if communicated in advance.
教學大綱
課程
遵循 College Board Advanced Placement 課程標準
與 Advanced Placement (AP) Standards對齊6 單位
32 課程
超過 32 週單位 1: Limits and Continuity
課 1:
Instantaneous Change and Limits
We'll begin by motivating the study of differential calculus in the context of instantaneous change. We will then introduce limits as a method of finding instantaneous rates. Finally, we will learn to analyze right, left, and overall limits graphically. 75 分鐘線上直播課
課 2:
Limit Properties
In this class, we'll look at the linearity of the limit, and limits of products and quotients. This class will meld into lesson 3, so we'll begin introducing some algebraic techniques for evaluating limits. 75 分鐘線上直播課
課 3:
Algebraic Limits
Picking up from week 2, we'll look at finding limits via factorization, conjugate multiplication, and squeeze theorem. 75 分鐘線上直播課
課 4:
Continuity and the IVT
We will look at the three conditions for continuity at a point, working through both graphical and algebraic applications. We will then introduce the intermediate value theorem. 75 分鐘線上直播課
其他詳情
先決條件
Students are expected to have taken precalculus prior to this course. However, I am happy to make exceptions on a case-by-case basis, if a student is able to demonstrate proficiency with a diagnostic exam.
供應清單
AP Calculus AB Prep Book: https://www.amazon.com/Princeton-Review-Calculus-Premium-Prep-dp-059351758X/dp/059351758X/ref=dp_ob_title_bk
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。
已加入 October, 2021
5.0
3評論
教師專業知識和證書
學士學位 在 科學 從 Massachusetts Institute of Technology
I graduated from MIT in 2019 with a major in Physics and minor in mathematics. I started tutoring Calculus in high school, and have been tutoring math and physics full-time since 2021.評論
現場團體課程
US$32
每週或US$1,000 用於 32 課程每週1次，共 32 週
75 分鐘
即時視訊會議
年齡: 13-18
6-12 每班學員人數
