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1

## Precalculus (Setting the scene)

10 个视频 （总计 109 分钟）, 8 个阅读材料, 9 个测验
10 个视频
Real line, decimals and significant figures15分钟
The Theorem of Pythagoras and properties of the square root of 211分钟
Algebraic expressions, surds and approximations10分钟
Equations and inequalities17分钟
Sign diagrams, solution sets and intervals (Part 1)10分钟
Sign diagrams, solution sets and intervals (Part 2)10分钟
Coordinate systems8分钟
Distance and absolute value5分钟
Lines and circles in the plane14分钟
8 个阅读材料
Notes: Real line, decimals and significant figures20分钟
Notes: The Theorem of Pythagoras and properties of the square root of 220分钟
Notes: Algebraic expressions, surds and approximations20分钟
Notes: Equations and inequalities20分钟
Notes: Sign diagrams, solution sets and intervals20分钟
Notes: Coordinate systems20分钟
Notes: Distance and absolute value20分钟
Notes: Lines and circles in the plane20分钟
9 个练习
Real line, decimals and significant figures20分钟
The Theorem of Pythagoras and properties of the square root of 220分钟
Algebraic expressions, surds and approximations20分钟
Equations and inequalities30分钟
Sign diagrams, solution sets and intervals30分钟
Coordinate systems30分钟
Distance and absolute value30分钟
Lines and circles in the plane30分钟
Module 1 quiz1小时
2

## Functions (Useful and important repertoire)

13 个视频 （总计 142 分钟）, 12 个阅读材料, 13 个测验
13 个视频
Functions as rules, with domain, range and graph11分钟
Polynomial and power functions13分钟
Composite functions7分钟
Inverse functions12分钟
The exponential function13分钟
The logarithmic function8分钟
Exponential growth and decay13分钟
Sine, cosine and tangent9分钟
The unit circle and trigonometry16分钟
Inverse circular functions11分钟
12 个阅读材料
Notes: Functions as rules, with domain, range and graph20分钟
Notes: Polynomial and power functions20分钟
Notes: Composite functions20分钟
Notes: Inverse functions20分钟
Notes: The exponential function20分钟
Notes: The logarithmic function15分钟
Notes: Exponential growth and decay20分钟
Notes: Sine, cosine and tangent20分钟
Notes: The unit circle and trigonometry20分钟
Notes: Inverse circular functions20分钟
13 个练习
Functions as rules, with domain, range and graph30分钟
Polynomial and power functions30分钟
Composite functions30分钟
Inverse functions30分钟
The exponential function30分钟
The logarithmic function30分钟
Exponential growth and decay30分钟
Sine, cosine and tangent30分钟
The unit circle and trigonometry30分钟
Inverse circular functions30分钟
Module 2 quiz1小时
3

## Introducing the differential calculus

12 个视频 （总计 132 分钟）, 10 个阅读材料, 11 个测验
12 个视频
Slopes and average rates of change10分钟
Displacement, velocity and acceleration11分钟
Tangent lines and secants10分钟
Different kinds of limits12分钟
Limit laws15分钟
Limits and continuity9分钟
The derivative as a limit10分钟
Finding derivatives from first principles14分钟
Leibniz notation14分钟
Differentials and applications (Part 1)13分钟
Differentials and applications (Part 2)7分钟
10 个阅读材料
Notes: Slopes and average rates of change20分钟
Notes: Displacement, velocity and acceleration20分钟
Notes: Tangent lines and secants20分钟
Notes: Different kinds of limits20分钟
Notes: Limit laws20分钟
Notes: Limits and continuity20分钟
Notes: The derivative as a limit20分钟
Notes: Finding derivatives from first principles20分钟
Notes: Leibniz notation20分钟
Notes: Differentials and applications20分钟
11 个练习
Slopes and average rates of change30分钟
Displacement, velocity and acceleration30分钟
Tangent lines and secants30分钟
Different kinds of limits30分钟
Limit laws30分钟
Limits and continuity30分钟
The derivative as a limit30分钟
Finding derivatives from first principles30分钟
Leibniz notation30分钟
Differentials and applications30分钟
Module 3 quiz1小时
4

## Properties and applications of the derivative

14 个视频 （总计 155 分钟）, 13 个阅读材料, 14 个测验
14 个视频
Increasing and decreasing functions11分钟
Sign diagrams12分钟
Maxima and minima12分钟
Concavity and inflections10分钟
Curve sketching16分钟
The Chain Rule9分钟
Applications of the Chain Rule14分钟
The Product Rule8分钟
Applications of the Product Rule9分钟
The Quotient Rule8分钟
Application of the Quotient Rule10分钟
Optimisation12分钟
The Second Derivative Test16分钟
13 个阅读材料
Notes: Increasing and decreasing functions20分钟
Notes: Sign diagrams20分钟
Notes: Maxima and minima20分钟
Notes: Concavity and inflections20分钟
Notes: Curve sketching20分钟
Notes: The Chain Rule20分钟
Notes: Applications of the Chain Rule20分钟
Notes: The Product Rule20分钟
Notes: Applications of the Product Rule20分钟
Notes: The Quotient Rule20分钟
Notes: Application of the Quotient Rule20分钟
Notes: Optimisation20分钟
Notes: The Second Derivative Test20分钟
14 个练习
Increasing and decreasing functions30分钟
Sign diagrams20分钟
Maxima and minima30分钟
Concavity and inflections30分钟
Curve sketching30分钟
The Chain Rule30分钟
Applications of the Chain Rule30分钟
The Product Rule30分钟
Applications of the Product Rule30分钟
The Quotient Rule30分钟
Application of the Quotient Rule30分钟
Optimisation30分钟
The Second Derivative Test30分钟
Module 4 quiz1小时