AP Calculus
AP Calculus AB/BC7 units · 39 lessons0 available
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Unit 1: Limits and Derivatives
- 1.1Limits and ContinuityComing soon
- 1.2Definition and Basic Rules of DifferentiationComing soon
- 1.3Derivatives of Exponential and Logarithmic FunctionsComing soon
- 1.4The Chain RuleComing soon
- 1.5Implicit Differentiation and Higher-Order DerivativesComing soon
- 1.6Derivatives of Inverse FunctionsComing soon
- 1.7Derivatives of Inverse Trig FunctionsComing soon
- 1.8L'Hôpital's Rule and Indeterminate FormsComing soon
Unit 2: Applications of Derivatives
- 2.1Related RatesComing soon
- 2.2Rates of Change in Context and Local LinearizationComing soon
- 2.3Mean Value Theorem and Rolle's TheoremComing soon
- 2.4Curve Sketching: Extrema and ConcavityComing soon
- 2.5OptimizationComing soon
- 2.6Velocity, Acceleration, and Particle MotionComing soon
Unit 3: Integration
- 3.1Antiderivatives and Indefinite IntegralsComing soon
- 3.2Riemann Sums and the Definite IntegralComing soon
- 3.3Fundamental Theorem of CalculusComing soon
- 3.4U-SubstitutionComing soon
- 3.5Integration by PartsBC onlyComing soon
- 3.6Partial Fractions and Trig IntegralsBC onlyComing soon
- 3.7Improper IntegralsBC onlyComing soon
Unit 4: Applications of Integration
- 4.1Area Between CurvesComing soon
- 4.2Volumes with Known Cross SectionsComing soon
- 4.3Volume: Disk and Washer MethodsComing soon
- 4.4Volume: Shell MethodBeyond the examComing soon
- 4.5Average Value and Accumulation ProblemsComing soon
- 4.6Arc Length of Planar CurvesBC onlyComing soon
Unit 5: Differential Equations
- 5.1Slope Fields and Verifying SolutionsComing soon
- 5.2Separation of Variables and Particular SolutionsComing soon
- 5.3Exponential Growth and Decay ModelsComing soon
- 5.4Euler's MethodBC onlyComing soon
- 5.5Logistic ModelsBC onlyComing soon
Unit 6: Parametric, Polar, and Vector-Valued Functions
- 6.1Parametric Equations: Derivatives and Arc LengthBC onlyComing soon
- 6.2Vector-Valued Functions and Motion in the PlaneBC onlyComing soon
- 6.3Parametric Equations and Polar CalculusBC onlyComing soon
Unit 7: Infinite Sequences and Series
- 7.1Sequences and SeriesBC onlyComing soon
- 7.2Convergence TestsBC onlyComing soon
- 7.3Taylor and Maclaurin SeriesBC onlyComing soon
- 7.4Power Series: Representing FunctionsBC onlyComing soon