AP®︎/College Calculus BC

1 About the course Free 2 Define limits and using limit notation Free 3 Estimate limit values from graphs Free 4 Estimate limit values from tables 🔒 Pro 6 Determine limits using algebraic properties of limits: limit properties 🔒 Pro 7 Determine limits using algebraic properties of limits: direct substitution 🔒 Pro 9 Determine limits using algebraic manipulation 🔒 Pro 10 Select procedures for determining limits 🔒 Pro 11 Determine limits using the squeeze theorem 🔒 Pro 13 Explore types of discontinuities 🔒 Pro 14 Define continuity at a point 🔒 Pro 15 Confirm continuity over an interval 🔒 Pro 16 Remove discontinuities 🔒 Pro 18 Connect infinite limits and vertical asymptotes 🔒 Pro 19 Connect limits at infinity and horizontal asymptotes 🔒 Pro 21 Work with the intermediate value theorem 🔒 Pro 23 Optional videos 🔒 Pro 24 Free response questions: limits and continuity 🔒 Pro 20 Infinite sequences and series: Unit test 🔒 Pro

1 Define average and instantaneous rates of change at a point 🔒 Pro 2 Define the derivative of a function and using derivative notation 🔒 Pro 3 Estimate derivatives of a function at a point 🔒 Pro 4 Connect differentiability and continuity: determining when derivatives do and do not exist 🔒 Pro 6 Apply the power rule 🔒 Pro 7 Derivative rules: constant, sum, difference, and constant multiple: introduction 🔒 Pro 8 Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule 🔒 Pro 10 Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x) 🔒 Pro 11 Practice to connect derivatives and limits 🔒 Pro 12 The product rule 🔒 Pro 13 The quotient rule 🔒 Pro 14 Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions 🔒 Pro 16 Optional videos 🔒 Pro 17 Free response questions: differentiation definition and basic derivative rules 🔒 Pro

1 The chain rule: introduction 🔒 Pro 2 The chain rule: further practice 🔒 Pro 4 Implicit differentiation 🔒 Pro 5 Differentiate inverse functions 🔒 Pro 6 Differentiate inverse trigonometric functions 🔒 Pro 7 Select procedures for calculating derivatives: strategy 🔒 Pro 8 Select procedures for calculating derivatives: multiple rules 🔒 Pro 10 Calculate higher-order derivatives 🔒 Pro 12 Optional videos 🔒 Pro 13 Free response questions: differentiation of composite, implicit, and inverse functions 🔒 Pro

1 Interpret the meaning of the derivative in context 🔒 Pro 2 Straight-line motion: connecting position, velocity, and acceleration 🔒 Pro 3 Rates of change in other applied contexts (non-motion problems) 🔒 Pro 5 Introduction to related rates 🔒 Pro 6 Solve related rates problems 🔒 Pro 8 Approximate values of a function using local linearity and linearization 🔒 Pro 9 Using L’Hôpital’s rule for finding limits of indeterminate forms 🔒 Pro 11 Optional videos 🔒 Pro 12 Free response questions: contextual applications of differentiation 🔒 Pro

1 Use the mean value theorem 🔒 Pro 3 Extreme value theorem, global versus local extrema, and critical points 🔒 Pro 4 Determine intervals on which a function is increasing or decreasing 🔒 Pro 5 Use the first derivative test to find relative (local) extrema 🔒 Pro 6 Use the candidates test to find absolute (global) extrema 🔒 Pro 8 Determine concavity of intervals and finding points of inflection: graphical 🔒 Pro 9 Determine concavity of intervals and finding points of inflection: algebraic 🔒 Pro 10 Use the second derivative test to find extrema 🔒 Pro 11 Sketch curves of functions and their derivatives 🔒 Pro 13 Connect a function, its first derivative, and its second derivative 🔒 Pro 15 Solve optimization problems 🔒 Pro 16 Explore behaviors of implicit relations 🔒 Pro 17 Calculator-active practice 🔒 Pro 19 Free response questions: analytical applications of differentiation 🔒 Pro

1 Exploring accumulations of change 🔒 Pro 2 Approximating areas with Riemann sums 🔒 Pro 3 Riemann sums, summation notation, and definite integral notation 🔒 Pro 5 The fundamental theorem of calculus and accumulation functions 🔒 Pro 6 Interpreting the behavior of accumulation functions involving area 🔒 Pro 7 Applying properties of definite integrals 🔒 Pro 9 The fundamental theorem of calculus and definite integrals 🔒 Pro 11 Finding antiderivatives and indefinite integrals: basic rules and notation: reverse power rule 🔒 Pro 12 Finding antiderivatives and indefinite integrals: basic rules and notation: common indefinite integrals 🔒 Pro 13 Finding antiderivatives and indefinite integrals: basic rules and notation: definite integrals 🔒 Pro 15 Integrating using substitution 🔒 Pro 16 Integrating functions using long division and completing the square 🔒 Pro 18 Using integration by parts 🔒 Pro 6 video(s) 19 Integrating using linear partial fractions 🔒 Pro 1 video(s) 20 Evaluating improper integrals 🔒 Pro 2 video(s) 22 Optional videos 🔒 Pro

1 Modeling situations with differential equations 🔒 Pro 2 Verifying solutions for differential equations 🔒 Pro 3 Sketching slope fields 🔒 Pro 4 Reasoning using slope fields 🔒 Pro 5 Approximating solutions using Euler’s method 🔒 Pro 7 Finding general solutions using separation of variables 🔒 Pro 8 Finding particular solutions using initial conditions and separation of variables 🔒 Pro 9 Exponential models with differential equations 🔒 Pro 10 Logistic models with differential equations 🔒 Pro 5 video(s)

1 Finding the average value of a function on an interval 🔒 Pro 2 Connecting position, velocity, and acceleration functions using integrals 🔒 Pro 3 Using accumulation functions and definite integrals in applied contexts 🔒 Pro 5 Finding the area between curves expressed as functions of x 🔒 Pro 6 Finding the area between curves expressed as functions of y 🔒 Pro 7 Finding the area between curves that intersect at more than two points 🔒 Pro 9 Volumes with cross sections: squares and rectangles 🔒 Pro 10 Volumes with cross sections: triangles and semicircles 🔒 Pro 11 Volume with disc method: revolving around x- or y-axis 🔒 Pro 12 Volume with disc method: revolving around other axes 🔒 Pro 13 Volume with washer method: revolving around x- or y-axis 🔒 Pro 14 Volume with washer method: revolving around other axes 🔒 Pro 16 The arc length of a smooth, planar curve and distance traveled 🔒 Pro 2 video(s) 17 Calculator-active practice 🔒 Pro

1 Defining and differentiating parametric equations 🔒 Pro 2 video(s) 2 Second derivatives of parametric equations 🔒 Pro 1 video(s) 3 Finding arc lengths of curves given by parametric equations 🔒 Pro 2 video(s) 5 Defining and differentiating vector-valued functions 🔒 Pro 3 video(s) 6 Solving motion problems using parametric and vector-valued functions 🔒 Pro 4 video(s) 8 Defining polar coordinates and differentiating in polar form 🔒 Pro 2 video(s) 9 Finding the area of a polar region or the area bounded by a single polar curve 🔒 Pro 2 video(s) 10 Finding the area of the region bounded by two polar curves 🔒 Pro 1 video(s) 11 Calculator-active practice 🔒 Pro 1 video(s)

1 Defining convergent and divergent infinite series 🔒 Pro 6 video(s) 2 Working with geometric series 🔒 Pro 4 video(s) 4 The nth-term test for divergence 🔒 Pro 1 video(s) 5 Integral test for convergence 🔒 Pro 2 video(s) 6 Harmonic series and p-series 🔒 Pro 2 video(s) 7 Comparison tests for convergence 🔒 Pro 5 video(s) 8 Alternating series test for convergence 🔒 Pro 2 video(s) 9 Ratio test for convergence 🔒 Pro 1 video(s) 10 Determining absolute or conditional convergence 🔒 Pro 1 video(s) 12 Alternating series error bound 🔒 Pro 2 video(s) 13 Finding Taylor polynomial approximations of functions 🔒 Pro 6 video(s) 14 Lagrange error bound 🔒 Pro 4 video(s) 15 Radius and interval of convergence of power series 🔒 Pro 2 video(s) 16 Finding Taylor or Maclaurin series for a function 🔒 Pro 13 video(s) 17 Representing functions as power series 🔒 Pro 4 video(s) 19 Optional videos 🔒 Pro 5 video(s)

1 AP Calculus BC 2017 🔒 Pro 2 AP Calculus BC 2015 🔒 Pro 11 video(s) 3 AP Calculus BC 2011 🔒 Pro 9 video(s) 4 AP Calculus BC 2008 🔒 Pro 7 video(s)

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