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미적분학 AB

올해의 과정에서는 미적분 AB에 대한 내용을 다루어 학생들이 5월에 치러지는 AP 시험에 대비할 수 있도록 합니다.
Esther Goldberger
평균 평점:
5.0
수강 후기 수:
(3)
수업

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32개의 라이브 미팅
수업 40 시간
숙제
주당 2-4시간. 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.
학습 평가
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.
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수업 소개

영어 수준 - 알 수 없음
미국 10학년 - 12학년 학년
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.

강의 계획서

커리큘럼
College Board Advanced Placement 커리큘럼 기반
표준
Advanced Placement (AP) Standards에 맞춰짐
6 유닛
32 레슨
32 주 이상
단위 1: Limits and Continuity
레슨1:
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 분 온라인 라이브 레슨
레슨2:
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 분 온라인 라이브 레슨
레슨3:
Algebraic Limits
 Picking up from week 2, we'll look at finding limits via factorization, conjugate multiplication, and squeeze theorem. 
75 분 온라인 라이브 레슨
레슨4:
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 분 온라인 라이브 레슨

그 외 세부 사항

사전 요구 사항
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.
수업 자료
AP Calculus AB Prep Book: https://www.amazon.com/Princeton-Review-Calculus-Premium-Prep-dp-059351758X/dp/059351758X/ref=dp_ob_title_bk
Outschool 외 필요 앱/웹사이트
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가입일: October, 2021
5.0
3수강 후기
프로필
교사 전문성 및 자격증
학사 학위 과학 Massachusetts Institute of Technology에서
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.

리뷰

실시간 그룹 수업
공유
매주

US$32

또는 32 회 수업에US$1,000
32주 동안 주당 1회
75분

실시간 화상 수업
연령: 13-18
수업당 학습자 6-12 명

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