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【AP微积分AB/BC】01：极限和连续性 54集全【可汗学院】【官网最新版】

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2019-06-03 12:18:58

配合练习食用更愉快：https://www.khanacademy.org/math/ap-calculus-bc/bc-limits-new 视频命名方式：单元-编号，每一单元对应1-4个练习，几个单元放一起有Quiz。 Q1：P1-9 Q2：P10-18 Q3：P19-26 Q4：P27-36 Q5：P37-46 Q6：P47-50 最后4P是选看。除了上一个“Series 级数”的合集，以后更新的内容AB和BC是一样的。这几年可汗上的微积分越来越全了（欣慰）更新至2019年6月3日

WANG-吉玥发消息

热衷于跨领域/theatre/edtech/教育公平/性别平等的Queer Cornellian (๑\'ᴗ\')ゞ

1-1 Limits intro

11:32

2-1 Estimating limit values from graphs

06:01

2-2 Unbounded limits

02:32

2-3 One-sided limits from graphs

09:11

2-4 One-sided limits from graphs- asymptote

02:27

2-5 Connecting limits and graphical behavior

05:03

3-1 Approximating limits using tables

04:28

3-2 Estimating limits from tables

03:24

3-3 One-sided limits from tables

06:20

4-1 Limit properties

05:08

4-2 Limits of combined functions

04:09

4-4 Limits of composite functions

05:12

4-3 Limits of combined functions- piecewise functions

04:13

5-1 Limits by direct substitution

02:07

5-2 Undefined limits by direct substitution

02:14

5-3 Limits of trigonometric functions

06:06

5-4 Limits of piecewise functions

03:49

5-5 Limits of piecewise functions- absolute value

06:20

6-1 Limits by factoring

05:44

6-2 Limits by rationalizing

09:32

6-3 Trig limit using Pythagorean identity

07:02

6-4 Trig limit using double angle identity

10:31

6.5-1 Strategy in finding limits 突然发现漏了个单元...

12:31

7-1 Squeeze theorem intro

07:11

7-2 Limit of sin(x):x as x approaches 0

09:16

7-3 Limit of (1-cos(x)):x as x approaches 0

04:05

8-1 Types of discontinuities

07:16

9-1 Continuity at a point

08:16

9-2 Worked example- Continuity at a point (graphical)

07:19

9-3 Worked example- point where a function is continuous

03:59

9-4 Worked example- point where a function isn't continuous

04:03

10-1 Continuity over an interval

09:00

10-2 Functions continuous on all real numbers

03:17

10-3 Functions continuous at specific x-values

04:22

11-1 Removing discontinuities (factoring)

04:57

11-2 Removing discontinuities (rationalization)

05:21

12-1 Introduction to infinite limits

04:23

12-2 Infinite limits and asymptotes

04:14

12-3 Analyzing unbounded limits- rational function

05:03

12-4 Analyzing unbounded limits- mixed function

06:17

13-1 Introduction to limits at infinity _ Limits and continuity _ AP Calculus AB

02:46

13-2 Functions with same limit at infinity

03:46

13-3 Limits at infinity of quotients (Part 1)

04:07

13-4 Limits at infinity of quotients (Part 2)

04:33

13-5 Limits at infinity of quotients with square roots (odd power)

05:14

13-6 Limits at infinity of quotients with square roots (even power)

03:37

14-1 Intermediate value theorem

08:05

14-2 Worked example- using the intermediate value theorem

06:43

14-3 Justification with the intermediate value theorem- table

05:29

14-4 Justification with the intermediate value theorem- equation

03:46

0-1 Formal definition of limits Part 1- intuition review

03:36

0-2 Formal definition of limits Part 2- building the idea

06:06

0-3 Formal definition of limits Part 3- the definition

06:59

0-4 Formal definition of limits Part 4- using the definition

08:30

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