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約51時間で修了
英語
字幕:英語

受講生の就業成果

50%

コースが具体的なキャリアアップにつながった
共有できる証明書
修了時に証明書を取得
100%オンライン
自分のスケジュールですぐに学習を始めてください。
柔軟性のある期限
スケジュールに従って期限をリセットします。
中級レベル
約51時間で修了
英語
字幕:英語

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シドニー大学(The University of Sydney) ロゴ

シドニー大学(The University of Sydney)

シラバス - 本コースの学習内容

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1

1

8時間で修了

Precalculus (Setting the scene)

8時間で修了
10件のビデオ (合計109分), 8 readings, 9 quizzes
10件のビデオ
Real line, decimals and significant figures15 分
The Theorem of Pythagoras and properties of the square root of 211 分
Algebraic expressions, surds and approximations10 分
Equations and inequalities17 分
Sign diagrams, solution sets and intervals (Part 1)10 分
Sign diagrams, solution sets and intervals (Part 2)10 分
Coordinate systems8 分
Distance and absolute value5 分
Lines and circles in the plane14 分
8件の学習用教材
Notes: Real line, decimals and significant figures20 分
Notes: The Theorem of Pythagoras and properties of the square root of 220 分
Notes: Algebraic expressions, surds and approximations20 分
Notes: Equations and inequalities20 分
Notes: Sign diagrams, solution sets and intervals20 分
Notes: Coordinate systems20 分
Notes: Distance and absolute value20 分
Notes: Lines and circles in the plane20 分
9の練習問題
Real line, decimals and significant figures20 分
The Theorem of Pythagoras and properties of the square root of 220 分
Algebraic expressions, surds and approximations20 分
Equations and inequalities20 分
Sign diagrams, solution sets and intervals20 分
Coordinate systems20 分
Distance and absolute value20 分
Lines and circles in the plane20 分
Module 1 quiz1 時間
2

2

11時間で修了

Functions (Useful and important repertoire)

11時間で修了
13件のビデオ (合計142分), 12 readings, 13 quizzes
13件のビデオ
Parabolas and quadratics11 分
The quadratic formula10 分
Functions as rules, with domain, range and graph11 分
Polynomial and power functions13 分
Composite functions7 分
Inverse functions12 分
The exponential function13 分
The logarithmic function8 分
Exponential growth and decay13 分
Sine, cosine and tangent9 分
The unit circle and trigonometry16 分
Inverse circular functions11 分
12件の学習用教材
Notes: Parabolas and quadratics20 分
Notes: The quadratic formula20 分
Notes: Functions as rules, with domain, range and graph20 分
Notes: Polynomial and power functions20 分
Notes: Composite functions20 分
Notes: Inverse functions20 分
Notes: The exponential function20 分
Notes: The logarithmic function15 分
Notes: Exponential growth and decay20 分
Notes: Sine, cosine and tangent20 分
Notes: The unit circle and trigonometry20 分
Notes: Inverse circular functions20 分
13の練習問題
Parabolas and quadratics20 分
The quadratic formula20 分
Functions as rules, with domain, range and graph20 分
Polynomial and power functions20 分
Composite functions20 分
Inverse functions20 分
The exponential function20 分
The logarithmic function20 分
Exponential growth and decay20 分
Sine, cosine and tangent20 分
The unit circle and trigonometry20 分
Inverse circular functions20 分
Module 2 quiz1 時間
3

3

10時間で修了

Introducing the differential calculus

10時間で修了
12件のビデオ (合計132分), 10 readings, 11 quizzes
12件のビデオ
Slopes and average rates of change10 分
Displacement, velocity and acceleration11 分
Tangent lines and secants10 分
Different kinds of limits12 分
Limit laws15 分
Limits and continuity9 分
The derivative as a limit10 分
Finding derivatives from first principles14 分
Leibniz notation14 分
Differentials and applications (Part 1)13 分
Differentials and applications (Part 2)7 分
10件の学習用教材
Notes: Slopes and average rates of change20 分
Notes: Displacement, velocity and acceleration20 分
Notes: Tangent lines and secants20 分
Notes: Different kinds of limits20 分
Notes: Limit laws20 分
Notes: Limits and continuity20 分
Notes: The derivative as a limit20 分
Notes: Finding derivatives from first principles20 分
Notes: Leibniz notation20 分
Notes: Differentials and applications20 分
11の練習問題
Slopes and average rates of change20 分
Displacement, velocity and acceleration20 分
Tangent lines and secants20 分
Different kinds of limits20 分
Limit laws20 分
Limits and continuity20 分
The derivative as a limit20 分
Finding derivatives from first principles20 分
Leibniz notation20 分
Differentials and applications20 分
Module 3 quiz1 時間
4

4

12時間で修了

Properties and applications of the derivative

12時間で修了
14件のビデオ (合計155分), 13 readings, 14 quizzes
14件のビデオ
Increasing and decreasing functions11 分
Sign diagrams12 分
Maxima and minima12 分
Concavity and inflections10 分
Curve sketching16 分
The Chain Rule9 分
Applications of the Chain Rule14 分
The Product Rule8 分
Applications of the Product Rule9 分
The Quotient Rule8 分
Application of the Quotient Rule10 分
Optimisation12 分
The Second Derivative Test16 分
13件の学習用教材
Notes: Increasing and decreasing functions20 分
Notes: Sign diagrams20 分
Notes: Maxima and minima20 分
Notes: Concavity and inflections20 分
Notes: Curve sketching20 分
Notes: The Chain Rule20 分
Notes: Applications of the Chain Rule20 分
Notes: The Product Rule20 分
Notes: Applications of the Product Rule20 分
Notes: The Quotient Rule20 分
Notes: Application of the Quotient Rule20 分
Notes: Optimisation20 分
Notes: The Second Derivative Test20 分
14の練習問題
Increasing and decreasing functions20 分
Sign diagrams20 分
Maxima and minima20 分
Concavity and inflections20 分
Curve sketching20 分
The Chain Rule20 分
Applications of the Chain Rule20 分
The Product Rule20 分
Applications of the Product Rule20 分
The Quotient Rule20 分
Application of the Quotient Rule20 分
Optimisation20 分
The Second Derivative Test20 分
Module 4 quiz1 時間

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