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커리큘럼

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

Unit 9. Parametric Equations, Polar Coordinates, and Vector-Valued Functions

4 토픽 | 1:18:21

9.1 Parametric equations

2 강좌 | 21:20

9.1.1 Parametric Functions - Definition and Differentiation

12:52
9.1.2 Finding arc lengths of curves given by parametric equations

08:28

9.2 Vector valued functions

3 강좌 | 28:23

9.2.1 Vector-Valued Functions: Definition and Differentiation

12:50
9.2.2 Vector-Valued Functions: Integration

05:53
9.2.3 Solving motion problems using parametric and vector valued functions

09:40

9.3 Polar coordinates

2 강좌 | 28:38

9.3.1 Defining polar coordinates and differentiating in polar forms

16:56
9.3.2 Finding the area of a polar region or the area bounded by a single polar curve

11:42

9.4 Question & Answer

3 강좌 | 0

9.4.1 Easy

0
9.4.2 Intermediate

0
9.4.3 Hard

0

Unit 10. Infinite Sequences and Series

3 토픽 | 1:42:25

10.1 Series

5 강좌 | 41:02

10.1.1 Infinite Series: Defining convergent and divergent infinite series

08:38
10.1.2 Geometric Series Test: Convergence of an infinite geometric series

09:36
10.1.3 The n-th term test for divergence

06:04
10.1.4 Integral test for convergence

10:09
10.1.5 Harmonic series and p-series

06:35

10.2 Convergence of series

5 강좌 | 1:01:23

10.2.1 Comparison test

11:52
10.2.2 Alternating series test

10:17
10.2.3 Ratio test for convergence

10:19
10.2.4 Radius and interval of convergence of power series

12:08
10.2.5 Power Series: Maclaurin Series and Taylor Series

16:47

10.3 Question & Answer

3 강좌 | 0

10.3.1 Easy

0
10.3.2 Intermediate

0
10.3.3 Hard

0

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설명

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강사 평점

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