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AP Calculus BC 2025
0 INTRODUCTION
0.1 Introduction (26:12)
1 FUNCTION
1.1 Type of Function (44:45)
1.2 Parametrically Defined Function(BC Only) (45:20)
2 LIMIT AND CONTINUITY
2.1 Definition of Limit (37:24)
2.2 Limit (28:50)
2.3 Continuity (45:43)
3 DIFFERENTIATION
3.1 Definition of Derivative (31:03)
3.2 Formulas (22:37)
3.3.1 Chain rule 1 (30:14)
3.3.2 Chain rule 2 (10:51)
3.4 Differentiability and Continuity (21:18)
3.5 Estimating a Derivative (19:43)
3.6 Implicit Differentiation (24:14)
3.7 Derivative of Inverse function (16:38)
3.8 Mean Value Theorem (20:39)
3.9 L'Hospital Law (28:37)
3.10 Derivative of Parametrically Defined function(BC Only) (20:45)
4 APPLICATION OF DIFFERENTIAL CALCULUS
4.1 Slope and tangent to curve (18:11)
4.2 Maximum , Minimum, Concavity, Inflection (46:28)
4.3 Maximum, Minimum Problem (17:48)
4.4 Motion along a line (21:01)
4.5 Tangent line approximation and application (21:59)
4.6 Tangent function parametrically Curve and Motion(BC Only) (28:47)
5 ANTI-DIFFERENTIATION
5.1 Anti-Differentiation and Basic Formula (14:00)
5.2 Anti-derivative using formula and substitution (22:13)
5.3.1 Integration of Partial Fraction(BC Only) (39:03)
5.3.2 Integration by Part(BC Only) (17:20)
6 DEFINITE INTEGRAL
6.1 Fundamental theorem and property (23:20)
6.2 Definite Integral as the limit of Riemann Sum (23:45)
6.3.1 Approximation of Definite Integral(Riemann Sum) (29:14)
6.3.2 Approximation of Definite Integral(Trapezoid) (24:07)
6.4 Graphing a Function from its Derivative (15:20)
6.5 Average Value (11:51)
7 APPLICATION OF INTEGRAL TO GEOMETRY
7.1 Area (40:00)
7.2 Volume (43:36)
7.3 Region Bounded by Polar Plane(BC Only) (21:55)
7.4 Length of Curve(BC Only) (23:26)
7.5 Improper Integral(BC Only) (22:24)
8 FURTHER APPLICATION OF INTEGRATION
8.1 Motion along a Straight Line (22:53)
8.2 Definite Integral of a Rate is net chagne (12:49)
8.3 Motion along a Plane Curve(BC Only) (23:10)
9 DIFFERENTIAL EQUATION
9.1 Basic Definition and Slope field (23:33)
9.2 Solving first-order Differential equation Analytically (15:47)
9.3 Exponential Growth and Decay (18:42)
9.4 Restricted Growth (18:08)
9.5 Euler Method(BC Only) (18:04)
10 Sequences and Series(BC Only)
10.1 Sequences and infinite Series (9:30)
10.2 Test for determining convergence or divergence (46:19)
10.3 Alternating Series and Absolute Convergence (18:08)
10.4 Power Series (29:11)
10.5 Taylor Series and Maclaurin Series (23:38)
10.6 Approximating and Error Bounds with Taylor Series and Maclaurin Series (31:40)
10.7 Computation with Power Series (35:07)
TI 84 CALCULATOR
Calculation and Graphing(Function) (27:22)
Graphing(Parametric , Polar) (6:36)
Find Interception (15:17)
Differentiation and Definite Integration (3:24)
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9.1 Basic Definition and Slope field
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