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미적분학 II - 전체 커리큘럼

이 17주 과정은 미적분 II 개념에 초점을 맞춥니다. 이 과정은 이미 미적분 I 또는 미적분 AB를 수강한 학생을 위한 과정입니다. 또한 현재 미적분 II 수업에 대한 리프레셔 또는 보완 과정이 필요한 학습자에게도 적합합니다.
Tricha Louis
평균 평점:
4.9
수강 후기 수:
(43)
수업
재생

무엇이 포함되어 있나요?

34개의 라이브 미팅
수업 28 시간 20 분 시간
숙제
주당 1-2시간. Homework assignments will be given weekly. Each assignment will be graded by correctness and required for all students.
학습 평가
There will be in-class quizzes and take-home tests given every two months. These assessments are required for all students to take.
문자 등급
Grades will be provided by request.
보고계신 지문은 자동 번역 되었습니다

수업 소개

영어 수준 - 알 수 없음
미국 11학년 - 12학년 학년
레벨 Advanced
This is a live course. We will be studying the main concepts of Calculus II, an important prerequisite for STEM majors in college. This class is typically a higher-level high school course and/or many times taken within the first two years of university.
Please note: This course is built like a regular math class. This is not an Advanced Placement class nor a class that gives college credit. 

The topics that we will cover are as follows:

Week 1:  Review of Algebra and Precalculus: Polynomials, fractions, Asymptotes, Trigonometry, Transformation from parent functions.
 
Week 2: Limits, derivatives and their rules, L'Hopital's Rule.

Week 3: Areas, solving problems with integration, differential equations and infinite series.

Week 4: Approximating area with Riemann Sums, left and right rectangles and trapezoid rule.

Week 5: The indefinite integral, FTC1 and FTC2, solving area problems without Riemann sum formula.

Week 6: More integrals, using 17 basic antiderivatives for integrating, integrating polynomials, understanding the principles.

Week 7: Integrating rational and radical functions, using algebra, integrating trig functions, integrating composition of functions with linear inputs.

Week 8: U-Substitution, the simpler case and the more complex case.
 
Week 9: Integration by parts, the DI-agonal chart and method.

Week 10: Trig substitution, use of sines and cosines, use of tangent and secants, knowing when to use tri substitution.

Week 11: Rational solutions, understanding partial fractions, solving integrals by using partial fractions and integrating improper rationals.

Week 12: Solving area problems, improper integrals, the Mean Value Theorem of integrals, calculating arc length.

Week 13: Solving 3D problems, finding the volume of a solid.

Week 14: Differential Equations, solving DE, solving separable equations and initial-value problems.

Week 15: Infinite sequences, sigma notation, geometric series and p-series.

Week 16: Convergence and divergence

Week 17: Taylor series, elementary functions, power series, using trigonometric functions.

Each class will have various approaches to learning. There will be a PowerPoint presentation, guided practice and interactive assessments to test understanding. There will be an E-book provided at the first week of class for students to follow along with. Students will have the opportunity discuss and writing on the online whiteboard, as well. My style is to investigate each student's previous knowledge, demonstrate the lesson and have students try on their own. Patience and perseverance are important in this course. By keeping the class size small, students will have full interaction with the teacher and each other. Before taking this class, students should have successfully completed Calculus.

학습 목표

Students will improve their understanding of integration and infinite series.
학습 목표

강의 계획서

커리큘럼
Teacher-Created 커리큘럼 기반
34 레슨
17 주 이상
레슨1:
Review of Algebra and Precalculus
 This lesson is about polynomials, fractions, asymptotes, trigonometry, and transformation from parent functions. 
50 분 온라인 라이브 레슨
레슨2:
Review of Algebra and Precalculus
 This lesson is about polynomials, fractions, asymptotes, trigonometry, and transformation from parent functions. 
50 분 온라인 라이브 레슨
레슨3:
Review of Calculus I: Part A
 This lesson is about limits, derivatives and their rules and the L'Hopital's Rule. 
50 분 온라인 라이브 레슨
레슨4:
Review of Calculus I: Part A
 This lesson is about limits, derivatives and their rules and the L'Hopital's Rule. 
50 분 온라인 라이브 레슨

그 외 세부 사항

사전 요구 사항
Students should have taken Precalculus and Calculus I
수업 자료
Paper, pencil, and a ruler (or protractor) are essential. Students may need to have a graphing calculator, as well. We will have graphing sessions where having one will make it easier. I will provide an E-book at the first week of class and handouts throughout the course.
Outschool 외 필요 앱/웹사이트
이 수업에서는 아웃스쿨 교실 외에도 다음의 툴을 사용합니다:
출처
We will use two E-Books (Calculus volume I and II) during this class from Rice University.
가입일: May, 2023
4.9
43수강 후기
프로필
교사 전문성 및 자격증
학사 학위 과학 Florida Gulf Coast University에서
Hi! My name is Tricha and I am a Physics and Mathematics teacher. I have been an educator for over a decade, having earned a bachelor's degree in civil engineering from Florida Gulf Coast University. In addition, I have a license as an Engineer Intern, and I have taught high school Physics for a number of years and worked in the South Florida Water Management during my time in university.
Outside of STEM disciplines, I also have a strong and lengthy experience is teaching ESL to students from East Asia both in the classroom and online.  I currently hold a TEFL certificate. 

A fun fact about me: I am learning Mandarin Chinese and I love to travel to different countries. I even had the opportunity to climb the Great Wall in Beijing! I also love driving motor scooters and drawing. I look forward to teaching your learner in the classroom!

리뷰

실시간 그룹 수업
공유
매주

US$53

17주 동안 주당 2회
50분

3 명의 학생이 수업을 완료함
실시간 화상 수업
연령: 15-18
수업당 학습자 3-10 명

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