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강의 계획 - 이 강좌에서 배울 내용

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1

1

완료하는 데 9시간 필요

Precalculus (Setting the scene)

완료하는 데 9시간 필요
10개 동영상 (총 109분), 8 개의 읽기 자료, 9 개의 테스트
10개의 동영상
Real line, decimals and significant figures15m
The Theorem of Pythagoras and properties of the square root of 211m
Algebraic expressions, surds and approximations10m
Equations and inequalities17m
Sign diagrams, solution sets and intervals (Part 1)10m
Sign diagrams, solution sets and intervals (Part 2)10m
Coordinate systems8m
Distance and absolute value5m
Lines and circles in the plane14m
8개의 읽기 자료
Notes: Real line, decimals and significant figures20m
Notes: The Theorem of Pythagoras and properties of the square root of 220m
Notes: Algebraic expressions, surds and approximations20m
Notes: Equations and inequalities20m
Notes: Sign diagrams, solution sets and intervals20m
Notes: Coordinate systems20m
Notes: Distance and absolute value20m
Notes: Lines and circles in the plane20m
9개 연습문제
Real line, decimals and significant figures20m
The Theorem of Pythagoras and properties of the square root of 220m
Algebraic expressions, surds and approximations20m
Equations and inequalities30m
Sign diagrams, solution sets and intervals30m
Coordinate systems30m
Distance and absolute value30m
Lines and circles in the plane30m
Module 1 quiz1시간
2

2

완료하는 데 13시간 필요

Functions (Useful and important repertoire)

완료하는 데 13시간 필요
13개 동영상 (총 142분), 12 개의 읽기 자료, 13 개의 테스트
13개의 동영상
Parabolas and quadratics11m
The quadratic formula10m
Functions as rules, with domain, range and graph11m
Polynomial and power functions13m
Composite functions7m
Inverse functions12m
The exponential function13m
The logarithmic function8m
Exponential growth and decay13m
Sine, cosine and tangent9m
The unit circle and trigonometry16m
Inverse circular functions11m
12개의 읽기 자료
Notes: Parabolas and quadratics20m
Notes: The quadratic formula20m
Notes: Functions as rules, with domain, range and graph20m
Notes: Polynomial and power functions20m
Notes: Composite functions20m
Notes: Inverse functions20m
Notes: The exponential function20m
Notes: The logarithmic function15m
Notes: Exponential growth and decay20m
Notes: Sine, cosine and tangent20m
Notes: The unit circle and trigonometry20m
Notes: Inverse circular functions20m
13개 연습문제
Parabolas and quadratics30m
The quadratic formula30m
Functions as rules, with domain, range and graph30m
Polynomial and power functions30m
Composite functions30m
Inverse functions30m
The exponential function30m
The logarithmic function30m
Exponential growth and decay30m
Sine, cosine and tangent30m
The unit circle and trigonometry30m
Inverse circular functions30m
Module 2 quiz1시간
3

3

완료하는 데 12시간 필요

Introducing the differential calculus

완료하는 데 12시간 필요
12개 동영상 (총 132분), 10 개의 읽기 자료, 11 개의 테스트
12개의 동영상
Slopes and average rates of change10m
Displacement, velocity and acceleration11m
Tangent lines and secants10m
Different kinds of limits12m
Limit laws15m
Limits and continuity9m
The derivative as a limit10m
Finding derivatives from first principles14m
Leibniz notation14m
Differentials and applications (Part 1)13m
Differentials and applications (Part 2)7m
10개의 읽기 자료
Notes: Slopes and average rates of change20m
Notes: Displacement, velocity and acceleration20m
Notes: Tangent lines and secants20m
Notes: Different kinds of limits20m
Notes: Limit laws20m
Notes: Limits and continuity20m
Notes: The derivative as a limit20m
Notes: Finding derivatives from first principles20m
Notes: Leibniz notation20m
Notes: Differentials and applications20m
11개 연습문제
Slopes and average rates of change30m
Displacement, velocity and acceleration30m
Tangent lines and secants30m
Different kinds of limits30m
Limit laws30m
Limits and continuity30m
The derivative as a limit30m
Finding derivatives from first principles30m
Leibniz notation30m
Differentials and applications30m
Module 3 quiz1시간
4

4

완료하는 데 14시간 필요

Properties and applications of the derivative

완료하는 데 14시간 필요
14개 동영상 (총 155분), 13 개의 읽기 자료, 14 개의 테스트
14개의 동영상
Increasing and decreasing functions11m
Sign diagrams12m
Maxima and minima12m
Concavity and inflections10m
Curve sketching16m
The Chain Rule9m
Applications of the Chain Rule14m
The Product Rule8m
Applications of the Product Rule9m
The Quotient Rule8m
Application of the Quotient Rule10m
Optimisation12m
The Second Derivative Test16m
13개의 읽기 자료
Notes: Increasing and decreasing functions20m
Notes: Sign diagrams20m
Notes: Maxima and minima20m
Notes: Concavity and inflections20m
Notes: Curve sketching20m
Notes: The Chain Rule20m
Notes: Applications of the Chain Rule20m
Notes: The Product Rule20m
Notes: Applications of the Product Rule20m
Notes: The Quotient Rule20m
Notes: Application of the Quotient Rule20m
Notes: Optimisation20m
Notes: The Second Derivative Test20m
14개 연습문제
Increasing and decreasing functions30m
Sign diagrams20m
Maxima and minima30m
Concavity and inflections30m
Curve sketching30m
The Chain Rule30m
Applications of the Chain Rule30m
The Product Rule30m
Applications of the Product Rule30m
The Quotient Rule30m
Application of the Quotient Rule30m
Optimisation30m
The Second Derivative Test30m
Module 4 quiz1시간

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