ap calculus ab - q&a: theorems, derivatives & integrals
originally streamed in 2019 with Brandon WuStudentcurriculum note
This video was recorded during the 2020 COVID-modified AP exam and references topics that were temporarily removed that year (e.g., disc/washer method, area between curves, average rate of change for AB) as well as an online-only, reduced exam format. All of these topics are back on the current AP Calculus AB exam.
covered in this stream
timestamps
- 0:00
Q&A Session
- 0:32
Intermediate Value Theorem
- 1:02
IVT Justification
- 1:33
Extreme Value Theorem
- 2:04
Mean Value Theorem
- 2:37
MVT Explanation
- 3:08
Rolle's Theorem
- 3:41
Curve Slope Analysis
- 4:16
Theorem Recap
- 4:47
IVT and EVT Summary
- 5:17
MVT Graph Example
- 5:49
Secant vs Tangent
- 6:28
Slope Justification
- 7:00
MVT Summary
- 7:31
Abbreviation Question
- 8:03
Differential Equations
- 8:33
FRQ Topics Overview
- 9:06
In-N-Out Questions
- 9:37
Integral for Accumulation
- 10:08
Rate to Quantity
- 10:39
Second Derivative Use
- 11:09
Common FRQ Mistakes
- 11:41
Critical Points
- 12:12
Rate Change Example
- 12:46
Riemann Sums
- 13:19
Sum Types
- 13:51
Chart Approximation
- 14:22
Identifying Sums
- 14:53
FRQ Strategy Advice
- 15:25
Partial Credit Tips
- 15:55
Riemann Sum Details
- 16:26
Left and Right Sums
- 16:58
Midpoint Sums
- 17:28
Exam Format Question
- 17:59
Trapezoidal Sum
- 18:30
Trapezoid Formula
- 19:02
Graph Questions
- 19:35
Area Under Curve
- 20:06
FRQ Practice Plans
- 20:36
F Prime Graph Query
- 21:08
Integral Examples
- 21:41
Past FRQ Example
- 22:13
Graph Integral
- 22:45
Definite Integrals
- 23:15
Extended Time Query
- 23:46
Candidate Test
- 24:16
Derivative Tests
- 24:47
Minima and Maxima
- 25:19
Absolute vs Relative
- 25:51
Concavity Check
- 26:21
T-Chart Method
- 26:54
Rate of Change
- 27:25
Separation of Variables
- 27:56
Differential Equations
- 28:30
First vs Second Derivative
- 29:02
Slope Fields
- 29:35
Tangent Line Equation
- 30:06
Local Linearization
- 30:39
Function Approximation
- 31:09
Sketching Slope Field
- 31:40
Screen Share
- 32:12
2018 FRQ Example
- 32:43
Slope Interpretation
- 33:15
Solution Curve Sketch
- 33:45
Scoring Guidelines
- 34:16
Following Slopes
- 34:47
Practice Questions
- 35:20
F Increasing Interval
- 35:54
Slope Increasing Interval
- 36:26
Second Derivative Positive
- 37:01
Minima Differences
- 37:32
Sign Change Importance
- 38:03
Inflection Points
- 38:35
Critical vs Inflection
- 39:05
Derivative Differences
- 39:40
Instantaneous Rate
- 40:11
Derivative Definition
- 40:43
Limit Notation
- 41:17
Limit to Derivative
- 41:47
Structure Recognition
- 42:20
Limits Approaching A
- 42:50
L'Hôpital's Rule
- 43:25
Direct Substitution
- 43:58
Limit Example
- 44:30
Solving Limits
- 45:02
Limit Flowchart
- 45:39
Resource Link
- 46:11
Substitution Reliability
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