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初級微積分到微積分

本課程每週回顧初級微積分和微積分中的關鍵概念。請參閱有關註冊本課程的先決條件的課程說明。
Pamela (she/her)
平均評分:
4.8
評論數量:
(90)
班級

包含什麼

32 現場會議
32 上課時間
作業
每週 1 小時. Learners will be required to read the chapter/s or handouts supplied in the classroom as attachments prior to each class as applicable in order to follow the examples set live in class and then be able to complete practice tasks in between classes in order to demonstrate learning.
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課堂經歷

英語程度 - 未知
美國 9 - 12 年級
Intermediate - Advanced 等級
If the currently listed section times do not suit you, please contact me to arrange a more suitable time, pending availability. 


PREREQUISITES:
   
Your learner will need to have prior knowledge of the following:
- Algebra I / Elementary Algebra
- Algebra II / Intermediate Algebra
- Basic Geometry - we cover some Geometry in the Precalculus part of this course
- Basic Trigonometry - we cover some Trigonometry in the Precalculus part of this course
- Know How to Use a Scientific Calculator

If you are unsure as to whether your learner has already covered these pre-requisites, please contact me for further details; I also offer another course which covers these topics, therefore your learner may need to take that course first before enrolling in this course.

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Calculus is the study of how things change. 

It provides a framework for modelling systems in which there is change, and a way to deduce the predictions of such models. 

The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time.

With this, you get the ability to find the effects of changing conditions on the system being investigated. 

By studying these, you can learn how to control the system to do make it do what you want it to do. 

Calculus, by giving engineers and you the ability to model and control systems gives them (and potentially you) extraordinary power over the material world.

The development of calculus and its applications to physics and engineering is probably the most significant factor in the development of modern science beyond where it was in the days of Archimedes. 

This was responsible for the industrial revolution and everything that has followed from it, including almost all of the major advances of the last few centuries.

It turns out that such changes tend to be lots simpler than changes over finite intervals of time. 

This means they are lots easier to model. 

In fact calculus was invented by Newton, who discovered that acceleration, which means change of speed of objects could be modelled by his relatively simple laws of motion.

This leaves us with the problem of deducing information about the motion of objects from information about their speed or acceleration. 

The details of calculus involve the interrelations between the concepts exemplified by speed and acceleration and that represented by position.

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Precalculus:

Day 1: Functions

Day 2: Linear Functions

Day 3: Polynomial and Rational Functions

Day 4: Exponential and Logarithmic Functions

Day 5: Trigonometric Functions

Day 6: Periodic Functions

Day 7: Trigonometric Identities and Equations

Day 8: Further Applications of Trigonometry

Day 9: Systems of Equations and Inequalities

Day 10: Analytic Geometry

Day 11: Sequences, Probability, and Counting Theory

Day 12: Introduction to Calculus

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Calculus:

Day 13: Functions and Graphs

Day 14: Limits

Day 15: Derivatives

Day 16: Applications of Derivatives

Day 17: Integration - Part 1

Day 18: Applications of Integration - Part 1

Day 19: Integration - Part 2

Day 20: Applications of Integration - Part 2

Day 21: Techniques of Integration

Day 22: Introduction to Differential Equations

Day 23: Sequences and Series

Day 24: Power Series

Day 25: Parametric Equations and Polar Coordinates - Part 1

Day 26: Parametric Equations and Polar Coordinates - Part 2

Day 27: Vectors in Space

Day 28: Vector-Valued Functions

Day 29: Differentiation of Functions of Several Variables

Day 30: Multiple Integration

Day 31: Vector Calculus 

Day 32: Second-Order Differential Equations
學習目標
Precalculus to Calculus.
學習目標

其他詳情

父母的引導和規範
- I will screen-share Google Slides and I will also use a whiteboard as applicable. - I may share videos in the classroom in between our live classes for extra enrichment as applicable. - Websites listed under "Sources" are for the teacher to access for curriculum and material. - The learners do NOT need to access anything on the internet outside of Outschool for this class. - I may also screen-share Khan Academy and IXL Learning in this class as applicable.
供應清單
Learners will need a Scientific Calculator for this class. 
Handouts will be supplied to the classroom as applicable. 
Printing them out is always optional and not necessary for this class unless it is your own preference to read paper instead of digital files.
教學語言
英語
已加入 June, 2022
4.8
90評論
教師檔案
教師專業知識和證書
Applicable courses that I have completed that pertain to this class include:

- Introduction to Calculus 
- Single Variable Calculus 
- Multivariate Calculus
- Precalculus Through Data and Modelling 
- Precalculus: Relations and Functions
- Precalculus: Mathematical Modelling 
- Differential Calculus Through Data and Modelling 
- Integral Calculus Through Data and Modelling 
- Calculus Through Data and Modelling: Limits and Derivatives
- Calculus Through Data and Modelling: Integration Applications
- Algebra: Elementary to Advanced
- Algebra and Differential Calculus for Data Science
- Calculus for Machine Learning and Data Science
- Applied Calculus with Python
- Advanced Statistics for Data Science
- Vector Calculus for Engineers

I am a native English speaker with a 150-hour TESOL qualification from Arizona State University and post-graduate qualifications in Applied Linguistics from Monash University.

I am also a lawyer in Australia and I homeschool my own children, therefore speaking and teaching clearly have been a part of my life for many years, and now I am also applying these skills to teaching others.

I am a homeschool mother of multiple children. We have always homeschooled and participated in distance education. We came to Outschool in 2018 as learners, and now I am excited to also teach on this platform. I understand the needs of parents of learners here as I am one myself. My own child/children will be regularly participating in this class.
I have degrees, post-graduate, and professional qualifications in the following - only those relevant to this class are listed here, for a complete list please visit my teacher profile page:

- Law - Bachelor of Laws, Graduate Diploma of Legal Practice, Admission as a Lawyer;
- TESOL - I have completed 8 out of 8 units towards the 150-hour qualification. When I receive my official professional certificate from Arizona State University I will update this here;
- Criminology;
- I.T. Security;
- Applied Linguistics;
- Investigative Services;

- Bachelor of Arts in Security, Terrorism and Counterterrorism from Murdoch University 

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現場團體小班課程
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US$649

用於 32 課程
每週1次,共 32 週
60 分鐘

即時視訊會議
年齡: 13-18
3-18 每班學員人數

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