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커리큘럼

Unit 0. Prerequisites

6 토픽 | 3:11:32

0.1 Review of Algebra

2 강좌 | 50:08

0.1.1 Review of Algebra

무료 수업 33:26
0.1.2 Finding zeroes/ Roots of a function

16:42

0.2 Exponentials & Logarithms

2 강좌 | 37:31

0.2.1 Definition of exponentials and Exponential Laws

19:06
0.2.2 Definition of logarithms and logarithm laws

18:25

0.3 Binomial Theorem

1 강좌 | 23:06

0.3.1 Definition and the use of binomial theorem

23:06

0.4 Trigonometry

1 강좌 | 58:25

0.4.1 Review of Trigonometry

58:25

0.5. Introduction to Calculus

1 강좌 | 22:22

0.5.1 Simple Introduction to Calculus

22:22

0.6 Question & Answer

3 강좌 | 0

0.6.1 Easy

0
0.6.2 Intermediate

0
0.6.3 Hard

0

Unit 1. Limits and Continuity

3 토픽 | 2:12:09

1.1 Limits

4 강좌 | 54:14

1.1.1 Defining limits and usage of limit notations

무료 수업 11:26
1.1.2 Estimating limits from graphs

15:07
1.1.3 Algebraic prperties of limits and manipulation of limits to determine the limit

21:53
1.1.4 The Squeeze Theorem

05:48

1.2 Continuity

6 강좌 | 1:17:55

1.2.1 Definition of Continuity at a point

10:32
1.2.2 Types of Discontinuities

12:37
1.2.3 Confirming Continuity over an Interval

12:52
1.2.4 Removing Discontinuities

15:59
1.2.5 Connecting Infinite Limits and Vertical/Horizontal Asymptotes

15:25
1.2.6 Working with the Intermediate Value Theorem (IVT)

10:30

1.3 Question & Answer

3 강좌 | 0

1.3.1 Easy

0
1.3.2 Intermediate

0
1.3.3 Hard

0

Unit 2. Differentiation: Definition and Fundamental Properties

3 토픽 | 1:18:51

2.1. Defintion of differentiation

2 강좌 | 38:56

2.1.1 Defining Average and Instantaneous Rates of Change at a Point

무료 수업 14:24
2.1.2 Defintion of differentiation (Fundamental Theorem of Calculus)

24:32

2.2 Fundamental properties of differentiation

2 강좌 | 39:55

2.2.1 Basic differentiation laws - how to differentiate various types of functions? (ft. power rule, constant, sum/difference, constant, trigonomtry,exponentials, logarithms, product rule, quotient rule)

19:14
2.2.2 The meaning of the derivative at a specific point

20:41

2.3 Question & Answer

3 강좌 | 0

2.3.1 Easy

0
2.3.2 Intermediate

0
2.3.3 Hard

0

Unit 3. Differentiation: Composite, Implicit, and Inverse Functions

4 토픽 | 1:16:33

3.1 Further basics of differentiation

3 강좌 | 41:06

3.1.1 The chain rule - why do we need the chain rule?

무료 수업 08:56
3.1.2 The chain rule - why we do NOT need the chain rule?

13:06
3.1.3 Implicit Differentiation

19:04

3.2 Differentiating inverse funcitons

1 강좌 | 06:30

3.2.1 Differentiating Inverse Functions

06:30

3.3 Higher order derivatives

2 강좌 | 28:57

3.3.1 Calculating Higher Order Derivatives

13:44
3.3.2 Selecting Procedures for Calculating Derivatives

15:13

3.4 Question & Answer

3 강좌 | 0

3.4.1 Easy

0
3.4.2 Intermediate

0
3.4.3 Hard

0

Unit 4. Contextual Applications of Differentiation

4 토픽 | 1:04:14

4.1 Applications of derivatives

3 강좌 | 49:07

4.1.1 Interpreting the Meaning of the Derivative in Context

무료 수업 22:54
4.1.2 Straigt-Line Motion: Connecting Position, Velocity, and Acceleration

16:11
4.1.3 Rate of Change in Applied Contexts Other than Motion

10:02

4.2 Related Rates

1 강좌 | 07:16

4.2.1 Related Rates

07:16

4.3 Derivatives in limits

1 강좌 | 07:51

4.3.1 L'Hopital's Rule

07:51

4.4 Question & Answer

3 강좌 | 0

4.4.1 Easy

0
4.4.2 Intermediate

0
4.4.3 Hard

0

Unit 5. Analytical Applications of Differentiation

5 토픽 | 1:42:10

5.1 Applications of first derivative

5 강좌 | 49:34

5.1.1 The Mean Value Theorem

무료 수업 05:40
5.1.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points

18:00
5.1.3 Increasing/Decreasing Functions: Determining Intervals on Which a Function is Increasing or Decreasing

11:15
5.1.4 First Derivative Test: Using the First Derivative Test to Determine Local Extrema

08:05
5.1.5 Global Extrema: Using the candidates to determine global extrema

06:34

5.2 Applications of second derivatives

2 강좌 | 16:25

5.2.1 Concavity: Determining Concavity of Functions over Their Domains

09:09
5.2.2 Local Extrema: Determining the local extrema using the second derivative

07:16

5.3 Sketching the functions using derivatives

2 강좌 | 16:01

5.3.1 Sketching Graphs of Functions

08:06
5.3.2 Connecting a Function, Its First Derivative, and Its Second Derivative

07:55

5.4 Optimization

2 강좌 | 20:10

5.4.1 Optimization Problems

13:10
5.4.2 Exploring Behaviors of Implicit Relations

07:00

5.5 Question & Answer

3 강좌 | 0

5.5.1 Easy

0
5.5.2 Intermediate

0
5.5.3 Hard

0

Unit 6. Integration and Accumulation of Change

4 토픽 | 2:12:11

6.1 Area of functions under the curve

2 강좌 | 39:13

6.1.1 Integration: Exploring Accumulations of Change

무료 수업 07:52
6.1.2 Riemann Sums: Approximating Areas with Riemann Sums, Summation Notation, and Definite Integral Notation

31:21

6.2 Defintion of Integrations

3 강좌 | 25:50

6.2.1 The Fundamental Theorem of Calculus

05:41
6.2.2 Interpreting the Behaviors of Integrals

10:54
6.2.3 Properties of Definite Integrals

09:15

6.3 How to integrate functions

6 강좌 | 1:07:08

6.3.1 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation

20:42
6.3.2 Integration by Substitution

10:21
6.3.3 Integration by Parts

12:14
6.3.4 Using Linear Partial Fractions

13:46
6.3.5 Evaluating Improper Integrals

04:34
6.3.6 Selecting Techniques for Antidifferentiation

05:31

6.4 Question & Answer

3 강좌 | 0

6.4.1 Easy

0
6.4.2 Intermediate

0
6.4.3 Hard

0

Unit 7. Differential Equations

4 토픽 | 1:53:38

7.1 Basics of differential equations

2 강좌 | 25:08

7.1.1 Differential Equations - Modeling Situations with Differential Equations

무료 수업 15:13
7.1.2 Verifying Solutions for Differential Equations

09:55

7.2 Slope fields

1 강좌 | 15:07

7.2.1 Slope Fields - Sketching Slope Fields and reasoning using the slope fields

15:07

7.3. Calculating differential equations

4 강좌 | 1:13:23

7.3.1 Approximating Solutions Using Euler's Method

16:51
7.3.2 Separation of Variables - General Solution and Particular Solution

14:46
7.3.3 Exponential Growth and Decay - Exponential models with Differential Equations

27:17
7.3.4 Logistics Models with Differential Equations

14:29

7.4 Question & Answer

3 강좌 | 0

7.4.1 Easy

0
7.4.2 Intermediate

0
7.4.3 Hard

0

Unit 8. Applications of Integration

5 토픽 | 1:15:40

8.1 Basic applications of integration

2 강좌 | 14:58

8.1.1 Finding the Average Value of a Function on an Interval

무료 수업 07:12
8.1.2 Connecting Position, Velocity, and Acceleration of functions Using Integrals

07:46

8.2 Area between curves

3 강좌 | 20:45

8.2.1 Finding the Area Between Curves Expressed as Functions of x

06:53
8.2.2 Finding the Area Between Curves Expressed as Functions of y

06:46
8.2.3 Finding the Area Between Curves that Intersect at More than Two Points

07:06

8.3 Cross-section volume

2 강좌 | 17:05

8.3.1 Volumes with Cross Sections : Squares and Rectangles

08:11
8.3.2 Volumes with Cross Sections : Triangles and Semicircles

08:54

8.4 Circular Volumes

3 강좌 | 22:52

8.4.1 Volumes with Revolution - Disc Method

10:15
8.4.2 Volumes with Revolution - Washer Method

06:52
8.4.3 The Arc Length of a Curve

05:45

8.5 Question & Answer

3 강좌 | 0

8.5.1 Easy

0
8.5.2 Intermediate

0
8.5.3 Hard

0

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설명

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강사 평점

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