2023-24 AP Calculus AB/BC
AP Calculus AB/BC 개념정리
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Chapter 2: Limits and Derivatives
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- 2.1 The Tangent and Velocity Problems (16:03)
- 2.2 The Limit of a Function (23:55)
- 2.3 Calculating Limits Using the Limit Laws (23:48)
- 2.4 The Precise Definition of a Limit ( It is NOT covered in AP calculus AB/BC ) (7:25)
- 2.5 Continuity (28:39)
- 2.6 Limits at Infinity; Horizontal Asymptotes (17:40)
- 2.7 Derivatives and Rates of Change (37:37)
- 2.8 The Derivative as a Function (39:27)
- Chapter 2. Additional Review Problems
Chapter 3: Differentiation Rules
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- 3.0 Review Chapter 2 (9:37)
- 3.1 Derivatives of Polynomials and Exponential Functions (53:13)
- 3.2 The Product and Quotient Rules (27:35)
- 3.3 Derivatives of Trigonometric Functions (34:50)
- Chapter 3.1~3.3 Additional Review Problems
- 3.4 The Chain Rule (33:34)
- 3.5 Implicit Differentiation (33:20)
- 3.6 Derivatives of Logarithmic and Inverse Trigonometric Functions (30:11)
- 3.7 Rates of Change in the Natural and Social Sciences (18:33)
- 3.8 Exponential Growth and Decay (26:27)
- 3.9 Related Rates (30:05)
- Chapter 3.4~3.9 Additional Review Problems
- 3.10 Linear Approximations and Differentials (16:05)
- 3.11 Hyperbolic Functions ( It is NOT covered in AP calculus AB/BC ) (6:16)
Chapter 4: Applications of Differentiation
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- 4.1 Maximum and Minimum Values (38:06)
- 4.2 The Mean Value Theorem (24:16)
- 4.3 What Derivatives Tell Us about the Shape of a Graph (56:46)
- 4.4 Indeterminate Forms and l'Hospital's Rule (32:07)
- 4.5 Summary of Curve Sketching ( It is NOT covered in AP calculua AB/BC ) (27:48)
- 4.6 Graphing with Calculus and Technology ( It is NOT covered in AP calculua AB/BC ) (5:03)
- 4.7 Optimization Problems (55:39)
- 4.8 Newton's Method ( It is NOT covered in AP calculua AB/BC ) (12:43)
- 4.9 Antiderivatives (27:30)
Chapter 5: Integrals
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Chapter 6: Applications of Integration
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Chapter 7: Techniques of Integration
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- 7.1 Integration by Parts ( AP calculus BC only ) (32:52)
- 7.2 Trigonometric Integrals (32:39)
- 7.3 Trigonometric Substitution ( It is NOT covered in AP calculus AB/BC ) (31:33)
- 7.4 Integration of Rational Functions by Partial Fractions ( AP calculus BC only ) (38:25)
- 7.5 Strategy for Integration ( It is NOT covered in AP calculus AB/BC ) (14:58)
- 7.6 Integration Using Tables and Technology ( It is NOT covered in AP calculus AB/BC ) (13:55)
- 7.7 Approximate Integration (18:55)
- 7.8 Improper Integrals ( AP calculus BC only ) (38:40)
Chapter 8: Further Applications of Integration
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- 8.1 Arc Length (17:33)
- 8.2 Area of a Surface of Revolution ( It is NOT covered in AP calculus AB/BC ) (11:50)
- 8.3 Applications to Physics and Engineering ( It is NOT covered in AP calculus AB/BC )
- 8.4 Applications to Economics and Biology ( It is NOT covered in AP calculus AB/BC ) (2:27)
- 8.5 Probability ( It is NOT covered in AP calculus AB/BC ) (2:44)
Chapter 9: Differential Equations
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- 9.1 Modeling with Differential Equations (14:02)
- 9.2 Direction Fields and Euler's Method (24:05)
- 9.3 Separable Equations (17:25)
- 9.4 Models for Population Growth (19:16)
- 9.5 Linear Equations ( It is NOT covered in AP calculus AB/BC )
- 9.6 Predator-Prey Systems ( It is NOT covered in AP calculus AB/BC )
Chapter 10: Parametric Equations and Polar Coordinates ( AP calculus BC only )
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- 10.1 Curves Defined by Parametric Equations ( AP calculus BC only ) (17:17)
- 10.2 Calculus with Parametric Curves ( AP calculus BC only ) (36:04)
- 10.3 Polar Coordinates ( AP calculus BC only ) (20:58)
- 10.4 Calculus in Polar Coordinates ( AP calculus BC only ) (38:32)
- 10.5 Conic Sections ( It is NOT covered in AP calculus AB/BC )
- 10.6 Conic Sections in Polar Coordinates ( It is NOT covered in AP calculus AB/BC )
Chapter 11: Sequences, Series, and Power Series ( AP calculus BC only )
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- 11.0 Taylor Series Outline (33:30)
- 11.1 Sequences ( AP calculus BC only ) (29:10)
- 11.2 Series ( AP calculus BC only ) (28:55)
- 11.3 The Integral Test and Estimates of Sums ( AP calculus BC only ) (19:28)
- 11.4 The Comparison Tests ( AP calculus BC only ) (13:23)
- 11.5 Alternating Series and Absolute Convergence ( AP calculus BC only ) (25:31)
- 11.6 The Ratio and Root Tests ( AP calculus BC only ) (15:11)
- 11.7 Strategy for Testing Series ( AP calculus BC only ) (16:09)
