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AP Calculus BC
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Course Content
Limit and Continuity
Definitions of Limits
Evaluate limit
Evaluate limit
Continuity and Discontinuity
Differentiation
Definition of the Derivative
Derivative : Power Rule
Derivative : power rule
Derivative : Product rule
Derivative : Product rule
Derivative : Quotient Rule
Derivative : Quotient Rule
Derivative : Chain rule
Derivative : Chain rule
Derivative : Trigonometry
Derivative : Trigonometry
Derivative : Exponents & Logarithms
Derivative : Exponents & Logarithms
Derivative : Implicit derivative
Derivative : Implicit derivative
Derivatie : second derivative
Derivatie : second derivative
Inverse Functions derivative
Inverse Trigonometry functions derivative
Inverse Trigonometry functions derivative
Derivative : Parametric functions
Derivative : Parametric functions
Derivative : Logarithmic differentiation
Derivative : Logarithmic differentiation
Differential calculus applications
Find out tangent lines and Normal lines
Find out tangent lines and Normal lines
Mean value theorem (for derivative)
Rolle’s theorem
Find maximum and minimum value use derivative
Curve sketching
L’Hopital’s Rule
Linearization
Motion
Integrals
Anti-Derivative
Intrgrals of Trigonometry functions
Intrgrals of Trigonometry functions
u-substitutions
u-substitutions
Integrals of exponent and logarithmic functions
Integration by parts
Integration by parts
Integrals Inverse Trigonometry Functions
Integration of partial fractions
Integration of partial fractions
Definite Integrals
Improper integrals
Improper integrals
Applications of Integration
Riemann sums
Area under the curve
Area under the curve
Area between two curves
Area between two curves
Mean value theorem(integrals)
Advanced integrals of trigonometry functions
Find a volume – washers and disks
Find a volume – cylindrical shells
Find a volume – cross sections
Length of a curve
Length of a curve
Parametric functions
Polar curves
Differential Equations
Separation of variables
Euler’s method
Slope fields
Sequences and Series
Arithmetic and Geometric sequences
Arithmetic and Geometric series
Alternating series
Power series
Taylor series and polynomials
Tests
Error bound
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