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| Item Details | Price | ||
|---|---|---|---|
AP Calculus BC
Instructor: Prateek
Language: English
Validity Period: Lifetime
$300
Welcome to Edoflip Courses!
Thank you for landing on the AP Calculus BC Course Page. All the courses are delivered by Subject Experts with over 5+ years of experience and after a detailed analysis of previous year papers and syllabus.
We also provide customization of the courses and make you available only what you need while you pay only what you use! For customization, please write to connect@edoflip.com.
This is the course structured as per the revised curriculum for AP Calculus BC.Please find the course syllabus module on the Course Contents Tab above.
Important Points to know:
1. The course is being charged only for the Live Online One on One video classes with our experts. The content is curated from publicly sourced media and will be made available for free to the signees.
2. We offer a Money back guarantee on all our courses. This, if availed, needs to be expressed in either 7 days or two classes, whichever happens earlier.
3. The number of classes that happen per month in this course are 10. The price per session is $30
For any other queries, please feel free to write on connect@edoflip.com or call on +1 434 533 0805
Happy Learning!
| Limits and Continuity | |||
| Introduction to limits | Limits | Differential Calculus | | |||
| Limits from graphs | Limits and continuity | AP Calculus AB | | |||
| Unbounded limits | Limits and continuity | AP Calculus AB | | |||
| One-sided limits from graphs | Limits | Differential Calculus | | |||
| One-sided limits from graphs: asymptote | Limits and continuity | AP Calculus AB | | |||
| Connecting limits and graphical behavior | Limits and continuity | AP Calculus AB | | |||
| Approximating limits using tables | Limits and continuity | AP Calculus AB | | |||
| Estimating limits from tables | Limits and continuity | AP Calculus AB | | |||
| One-sided limits from tables | Limits and continuity | AP Calculus AB | | |||
| Limit properties | Limits and continuity | AP Calculus AB | | |||
| Limits of combined functions | Limits and continuity | AP Calculus AB | | |||
| Limits of combined functions: piecewise functions | AP Calculus AB | | |||
| Limits of composite functions | Limits and continuity | | |||
| Limits by direct substitution | Limits and continuity | AP Calculus AB | |||
| Undefined limits by direct substitution | Limits and continuity | | |||
| Limits of trigonometric functions | Limits and continuity | AP Calculus AB | |||
| Limits of piecewise functions | Limits and continuity | AP Calculus AB | |||
| Limit at a point of discontinuity | |||
| Limits by factoring | Limits and continuity | AP Calculus AB | |||
| Limits by rationalizing | Limits and continuity | AP Calculus AB | |||
| Trig limit using pythagorean identity | Limits and continuity | AP Calculus AB | | |||
| Trig limit using double angle identity | Limits and continuity | AP Calculus AB | | |||
| Strategy in finding limits | Limits and continuity | AP Calculus AB | | |||
| Squeeze theorem or sandwich theorem | Limits | Differential Calculus | | |||
| Limit of sin(x)/x as x approaches 0 | Derivative rules | AP Calculus AB | | |||
| Limit of (1-cos(x))/x as x approaches 0 | Derivative rules | AP Calculus AB | | |||
| Types of discontinuities | Limits and continuity | AP Calculus AB | | |||
| Continuity at a point | Limits and continuity | AP Calculus AB | |||
| Worked example: Continuity at a point | Limits and continuity | AP Calculus AB | |||
| Analyzing functions for discontinuities (continuous example) | AP Calculus AB | | |||
| Analyzing functions for discontinuities (discontinuity example) | AP Calculus AB | |||
| Continuity over an interval | Limits and continuity | AP Calculus AB | |||
| Functions continuous on all real numbers | Limits and continuity | AP Calculus AB | |||
| Functions continuous at specific x-values | Limits and continuity | AP Calculus AB | |||
| Defining a function at a point to make it continuous | Limits | Differential Calculus | | |||
| Fancy algebra to find a limit and make a function continuous | Differential Calculus | | |||
| Introduction to infinite limits | Limits and continuity | AP Calculus AB | | |||
| Infinite limits and asymptotes | Limits and continuity | AP Calculus AB | |||
| Analyzing unbounded limits: rational function | AP Calculus AB | | |||
| Analyzing unbounded limits: mixed function | Limits and continuity | AP Calculus AB | | |||
| Introduction to limits at infinity | Limits and continuity | AP Calculus AB | | |||
| Functions with same limit at infinity | Limits and continuity | AP Calculus AB | | |||
| Limits at infinity of quotients (Part 1) | Limits and continuity | AP Calculus AB | | |||
| Limits at infinity of quotients (Part 2) | Limits and continuity | AP Calculus AB | | |||
| Limits at infinity of quotients with square roots (odd power) | AP Calculus AB | | |||
| Limits at infinity of quotients with square roots (even power) | AP Calculus AB | | |||
| Intermediate value theorem | Existence theorems | AP Calculus AB | |||
| Intermediate value theorem example | Existence theorems | AP Calculus AB | | |||
| Justification with the intermediate value theorem: table | AP Calculus AB | | |||
| Justification with the intermediate value theorem: equation | AP Calculus AB | | |||
| Formal definition of limits Part 1: intuition review | AP Calculus AB | | |||
| Formal definition of limits Part 2: building the idea | AP Calculus AB | | |||
| Epsilon-delta definition of limit | |||
| Formal definition of limits Part 4: using the definition | AP Calculus AB | | |||
| Differentiation: definition and basic derivative rules | |||
| Newton, Leibniz, and Usain Bolt | Derivatives introduction | AP Calculus AB | | |||
| Derivative as a concept | Derivatives introduction | AP Calculus AB | | |||
| Secant lines & average rate of change | Derivatives introduction | AP Calculus AB | | |||
| Derivative as slope of curve | Derivatives introduction | AP Calculus AB | | |||
| The derivative & tangent line equations | Derivatives introduction | AP Calculus AB | | |||
| Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | |||
| Formal and alternate form of the derivative | Differential Calculus | | |||
| Formal and alternate form of the derivative for ln x | Differential Calculus | | |||
| Formal and alternate form of the derivative example 1 | Differential Calculus | | |||
| Calculating slope of tangent line using derivative definition | Differential Calculus | | |||
| The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | | |||
| Estimating derivatives | Derivatives introduction | AP Calculus AB | | |||
| Differentiability and continuity | Derivatives introduction | AP Calculus AB | | |||
| Differentiability at a point: graphical | Derivatives introduction | AP Calculus AB | | |||
| Differentiability at a point: algebraic (function is differentiable) | AP Calculus AB | |||
| Differentiability at a point: algebraic (function isn't differentiable) | | |||
| Power rule | Derivative rules | AP Calculus AB | | |||
| Power rule (with rewriting the expression) | AP Calculus AB | | |||
| Differentiating polynomials | Derivative rules | AP Calculus AB | |||
| Basic derivative rules: find the error | Derivative rules | AP Calculus AB | | |||
| Basic derivative rules: table | Derivative rules | AP Calculus AB | |||
| Differentiating polynomials example | Derivative rules | AP Calculus AB | |||
| Negative powers differentiation | Derivative rules | AP Calculus AB | | |||
| Tangents of polynomials | Derivative rules | AP Calculus AB | | |||
| Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | |||
| Worked example: Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | | |||
| Derivative of __ | Advanced derivatives | AP Calculus AB | | |||
| Derivative of ln(x) | Advanced derivatives | AP Calculus AB | | |||
| Product rule | Derivative rules | AP Calculus AB | | |||
| Product rule example | |||
| Worked example: Product rule with table | Derivative rules | AP Calculus AB | |||
| Worked example: Product rule with mixed implicit & explicit | AP Calculus AB | | |||
| Quotient rule | Derivative rules | AP Calculus AB | | |||
| Worked example: Quotient rule with table | Derivative rules | AP Calculus AB | | |||
| Differentiating rational functions | Derivative rules | AP Calculus AB | |||
| Derivatives of tan(x) and cot(x) | Derivative rules | AP Calculus AB | | |||
| Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | | |||
| Proof: Differentiability implies continuity | Derivative rules | AP Calculus AB | |||
| Justifying the power rule | Derivative rules | AP Calculus AB | | |||
| Proof: d/dx(x^n) | Taking derivatives | Differential Calculus | | |||
| Proof: d/dx(sqrt(x)) | Taking derivatives | Differential Calculus | | |||
| Limit of sin(x)/x as x approaches 0 | Derivative rules | AP Calculus AB | | |||
| Limit of (1-cos(x))/x as x approaches 0 | Derivative rules | AP Calculus AB | | |||
| Proof of the derivative of sin(x) | Derivatives introduction | AP Calculus AB | |||
| Proof of the derivative of cos(x) | Derivative rules | AP Calculus AB | |||
| Product rule proof | Taking derivatives | Differential Calculus | | |||
| Differentiation: composite, implicit and inverse functions | |||
| Chain rule | Derivative rules | AP Calculus AB | | |||
| Common chain rule misunderstandings | Derivative rules | AP Calculus AB | |||
| Identifying composite functions | Derivative rules | AP Calculus AB | |||
| Worked example: Derivative of cos_(x) using the chain rule | AP Calculus AB | | |||
| Worked example: Derivative of ÃÂ(3x_-x) using the chain rule | AP Calculus AB | | |||
| Worked example: Derivative of ln(ÃÂx) using the chain rule | AP Calculus AB | | |||
| Worked example: Chain rule with table | Derivative rules | AP Calculus AB | |||
| Exponential functions differentiation intro | Advanced derivatives | AP Calculus AB | | |||
| Derivative of log_x (for any positive base aÃÂ1) | AP Calculus AB | |||
| Exponential functions differentiation | Advanced derivatives | AP Calculus AB | |||
| Logarithmic functions differentiation | Advanced derivatives | AP Calculus AB | |||
| Trig functions differentiation | Derivative rules | AP Calculus AB | |||
| Radical functions differentiation | Derivative rules | AP Calculus AB | |||
| Implicit differentiation | Advanced derivatives | AP Calculus AB | | |||
| Worked example: Implicit differentiation | Advanced derivatives | AP Calculus AB | | |||
| Worked example: Evaluating derivative with implicit differentiation | AP Calculus AB | | |||
| Showing explicit and implicit differentiation give same result | AP Calculus AB | | |||
| Derivatives of inverse functions | Advanced derivatives | AP Calculus AB | | |||
| Derivatives of inverse functions: from equation | AP Calculus AB | | |||
| Derivatives of inverse functions: from table | AP Calculus AB | | |||
| Derivative of inverse sine | Taking derivatives | Differential Calculus | | |||
| Derivative of inverse cosine | Taking derivatives | Differential Calculus | |||
| Derivative of inverse tangent | Taking derivatives | Differential Calculus | |||
| Differentiating functions: Find the error | Derivative rules | AP Calculus AB | | |||
| Manipulating functions before differentiation | Derivative rules | AP Calculus AB | | |||
| Differentiating using multiple rules: strategy | AP Calculus AB | |||
| Applying the chain rule and product rule | Advanced derivatives | AP Calculus AB | |||
| Applying the chain rule twice | Advanced derivatives | AP Calculus AB | | |||
| Derivative of e_____cos(e_) | Advanced derivatives | AP Calculus AB | |||
| Derivative of sin(ln(x_)) | Advanced derivatives | AP Calculus AB | | |||
| Second derivatives | Advanced derivatives | AP Calculus AB | | |||
| Second derivatives (implicit equations): find expression | AP Calculus AB | | |||
| Second derivatives (implicit equations): evaluate derivative | AP Calculus AB | | |||
| Derivatives expressed as limits | Advanced derivatives | AP Calculus BC | |||
| Proof: Differentiability implies continuity | Derivative rules | AP Calculus AB | |||
| If function u is continuous at x, then _u_0 as _x_0 | AP Calculus AB | | |||
| Chain rule proof | Derivative rules | AP Calculus AB | | |||
| Quotient rule from product & chain rules | Derivative rules | AP Calculus AB | | |||
| Contextual applications of differentiation | |||
| Interpreting the meaning of the derivative in context | AP Calculus AB | | |||
| Introduction to one-dimensional motion with calculus | AP Calculus AB | | |||
| Interpreting direction of motion from position-time graph | AP Calculus AB | | |||
| Interpreting direction of motion from velocity-time graph | AP Calculus AB | | |||
| Interpreting change in speed from velocity-time graph | Differential Calculus | | |||
| Worked example: Motion problems with derivatives | AP Calculus AB | | |||
| Applied rate of change: forgetfulness | Applications of derivatives | AP Calculus AB | | |||
| Related rates intro | Applications of derivatives | AP Calculus AB | | |||
| Analyzing related rates problems: expressions | AP Calculus AB | | |||
| Analyzing related rates problems: equations (Pythagoras) | AP Calculus AB | |||
| Analyzing related rates problems: equations (trig) | AP Calculus AB | | |||
| Differentiating related functions intro | Advanced derivatives | AP Calculus AB | | |||
| Worked example: Differentiating related functions | AP Calculus AB | | |||
| Related rates: Approaching cars | Applications of derivatives | AP Calculus AB | | |||
| Related rates: Falling ladder | Applications of derivatives | AP Calculus AB | | |||
| Related rates: water pouring into a cone | AP Calculus AB | |||
| Related rates: shadow | Applications of derivatives | AP Calculus AB | | |||
| Related rates: balloon | Applications of derivatives | AP Calculus AB | | |||
| Local linearization | Derivative applications | Differential Calculus | |||
| Local linearity and differentiability | Derivatives introduction | AP Calculus AB | |||
| Worked example: Approximation with local linearity | AP Calculus AB | | |||
| Linear approximation of a rational function | Derivative rules | AP Calculus AB | | |||
| Introduction to l'Hôpital's rule | Derivative applications | Differential Calculus | |||
| L'Hôpital's rule example 1 | Derivative applications | Differential Calculus | |||
| L'Hôpital's rule example 2 | Derivative applications | Differential Calculus | | |||
| Proof of special case of l'Hôpital's rule | Differential Calculus | | |||
| Applying derivatives to analyse functions | |||
| Mean value theorem | Existence theorems | AP Calculus AB | | |||
| Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | | |||
| Mean value theorem example: square root function | AP Calculus AB | | |||
| Justification with the mean value theorem: table | AP Calculus AB | | |||
| Justification with the mean value theorem: equation | AP Calculus AB | | |||
| Mean value theorem application | Existence theorems | AP Calculus AB | |||
| Extreme value theorem | Existence theorems | AP Calculus AB | | |||
| Critical points introduction | AP Calculus AB | | |||
| Finding critical points | Using derivatives to analyze functions | AP Calculus AB | | |||
| Finding decreasing interval given the function | AP Calculus AB | | |||
| Finding increasing interval given the derivative | AP Calculus AB | | |||
| Introduction to minimum and maximum points | Functions | Algebra I | | |||
| Finding relative extrema (first derivative test) | AP Calculus AB | | |||
| Worked example: finding relative extrema | AP Calculus AB | | |||
| Analyzing mistakes when finding extrema (example 1) | AP Calculus AB | |||
| Analyzing mistakes when finding extrema example 2 | AP Calculus AB | | |||
| Finding absolute extrema on a closed interval | AP Calculus AB | | |||
| Absolute minima & maxima (entire domain) | AP Calculus AB | | |||
| Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | | |||
| Recognizing concavity exercise | Derivative applications | Differential Calculus | | |||
| Inflection points introduction | AP Calculus AB | | |||
| Inflection points (graphical) | AP Calculus AB | | |||
| Analyzing concavity (algebraic) | AP Calculus AB | | |||
| Inflection points (algebraic) | AP Calculus AB | |||
| Mistakes when finding inflection points: second derivative undefined | AP Calculus AB | |||
| Mistakes when finding inflection points: not checking candidates | AP Calculus AB | | |||
| Second derivative test | Using derivatives to analyze functions | AP Calculus AB | | |||
| Graphing using derivatives | Derivative applications | Differential Calculus | | |||
| Another example graphing with derivatives | Differential Calculus | | |||
| Analyzing a function with its derivative | AP Calculus AB | | |||
| Calculus based justification for function increasing | AP Calculus AB | | |||
| Justification using first derivative | AP Calculus AB | | |||
| Inflection points from graphs of function & derivatives | AP Calculus AB | | |||
| Justification using second derivative: inflection point | AP Calculus AB | |||
| Justification using second derivative: maximum point | AP Calculus AB | |||
| Connecting f, f', and f'' graphically | AP Calculus AB | | |||
| Connecting f, f', and f'' graphically (another example) | AP Calculus AB | | |||
| Optimization: sum of squares | Applications of derivatives | AP Calculus AB | | |||
| Optimization: box volume (Part 1) | Applications of derivatives | AP Calculus AB | |||
| Optimization: box volume (Part 2) | Applications of derivatives | AP Calculus AB | |||
| Optimization: profit | Applications of derivatives | AP Calculus AB | | |||
| Optimization: cost of materials | Applications of derivatives | AP Calculus AB | | |||
| Expression for combined area of triangle and square | Differential Calculus | |||
| Minimizing combined area | Derivative applications | Differential Calculus | | |||
| Motion problems: finding the maximum acceleration | AP Calculus AB | | |||
| Horizontal tangent to implicit curve | AP Calculus AB | | |||
| Integration and accumulation of change | |||
| Introduction to integral calculus | Accumulation and Riemann sums | AP Calculus AB | | |||
| Definite integrals intro | Accumulation and Riemann sums | AP Calculus AB | | |||
| Worked example: problem involving definite integral (graphical) | AP Calculus AB | | |||
| Riemann approximation introduction | Accumulation and Riemann sums | AP Calculus AB | | |||
| Over- and under-estimation of Riemann sums | AP Calculus AB | | |||
| Worked example: finding a Riemann sum using a table | AP Calculus AB | | |||
| Worked example: over- and under-estimation of Riemann sums | AP Calculus AB | | |||
| Midpoint sums | Accumulation and Riemann sums | AP Calculus AB | |||
| Trapezoidal sums | Accumulation and Riemann sums | AP Calculus AB | | |||
| Sigma notation for sums | Sequences, series and induction | Precalculus | | |||
| Worked examples: Summation notation | Accumulation and Riemann sums | AP Calculus AB | | |||
| Riemann sums in summation notation | Accumulation and Riemann sums | AP Calculus AB | |||
| Worked example: Riemann sums in summation notation | AP Calculus AB | | |||
| Definite integral as the limit of a Riemann sum | AP Calculus AB | | |||
| Worked example: Rewriting definite integral as limit of Riemann sum | AP Calculus AB | |||
| Worked example: Rewriting limit of Riemann sum as definite integral | AP Calculus AB | |||
| Fundamental theorem of calculus (Part 1) | AP Calculus AB | | |||
| Functions defined by definite integrals (accumulation functions) | AP Calculus AB | | |||
| Finding derivative with fundamental theorem of calculus | AP®︎ Calculus AB | |||
| Finding derivative with fundamental theorem of calculus: chain rule | AP®︎ Calculus | | |||
| Interpreting behavior of _ from graph of _'=ÃÂ | AP Calculus AB | | |||
| Negative definite integrals | Integration and accumulation of change | AP Calculus AB | | |||
| Finding definite integrals using area formulas | AP Calculus AB | | |||
| Definite integral over a single point | AP Calculus AB | | |||
| Integrating scaled version of function | AP Calculus AB | | |||
| Switching bounds of definite integral | AP Calculus AB | | |||
| Integrating sums of functions | Accumulation and Riemann sums | AP Calculus AB | | |||
| Worked examples: Definite integral properties 1 | AP Calculus AB | |||
| Breaking up integral interval | Accumulation and Riemann sums | AP Calculus AB | | |||
| Functions defined by integrals | Accumulation and Riemann sums | AP Calculus AB | | |||
| Worked example: Merging definite integrals over adjacent intervals | AP Calculus AB | | |||
| Functions defined by integrals: switched interval | AP Calculus AB | |||
| Finding derivative with fundamental theorem of calculus: x is on lower bound | | |||
| Finding derivative with fundamental theorem of calculus: x is on both bounds | | |||
| Fundamental theorem of calculus (Part 2) | AP Calculus AB | | |||
| Antiderivatives and indefinite integrals | AP Calculus AB | | |||
| Reverse power rule | AP Calculus AB | | |||
| Indefinite integrals: sums & multiples | AP Calculus AB | | |||
| Rewriting before integrating | AP Calculus AB | | |||
| Indefinite integral of 1/x | AP Calculus AB | | |||
| Indefinite integrals of sin(x), cos(x), and e_ | AP Calculus AB | |||
| Definite integrals: reverse power rule | AP Calculus AB | |||
| Definite integral of rational function | AP Calculus AB | | |||
| Definite integral of radical function | AP Calculus AB | | |||
| Definite integral of trig function | AP Calculus AB | | |||
| Definite integral involving natural log | AP Calculus AB | | |||
| Definite integral of piecewise function | AP Calculus AB | | |||
| Definite integral of absolute value function | AP Calculus AB | | |||
| _-substitution intro | AP Calculus AB | | |||
| _-substitution: multiplying by a constant | AP Calculus AB | | |||
| _-substitution: defining _ | AP Calculus AB | | |||
| _-substitution: defining _ (more examples) | AP Calculus AB | | |||
| _-substitution: rational function | AP Calculus AB | | |||
| _-substitution: logarithmic function | AP Calculus AB | | |||
| _-substitution: definite integrals | AP Calculus AB | | |||
| _-substitution: definite integral of exponential function | AP Calculus AB | | |||
| Dividing expressions to evaluate integral | AP Calculus BC | | |||
| Integration using completing the square and the derivative of arctan(x) | | |||
| Integration by parts intro | AP Calculus BC | | |||
| Integration by parts: ºx_cos(x)dx | AP Calculus BC | | |||
| Integration by parts: ºln(x)dx | AP Calculus BC | |||
| Integration by parts: ºx____dx | AP Calculus BC | | |||
| Integration by parts: º___cos(x)dx | AP Calculus BC | | |||
| Integration by parts: definite integrals | AP Calculus BC | |||
| Integration with partial fractions | AP Calculus BC | | |||
| Introduction to improper integrals | AP Calculus BC | | |||
| Divergent improper integral | AP Calculus BC | |||
| Proof of fundamental theorem of calculus | AP Calculus AB | | |||
| Intuition for second part of fundamental theorem of calculus | AP Calculus AB | |||
| Differential Equations | |||
| Differential equation introduction | First order differential equations | | |||
| Writing a differential equation | Differential equations | AP Calculus AB | | |||
| Verifying solutions to differential equations | AP Calculus AB | | |||
| Creating a slope field | First order differential equations | |||
| Differential equation from slope field | First order differential equations | | |||
| Worked example: slope field from equation | AP Calculus AB | | |||
| Worked example: forming a slope field | AP Calculus AB | | |||
| Slope field to visualize solutions | First order differential equations | | |||
| Worked example: range of solution curve from slope field | AP Calculus AB | | |||
| Euler's method | Differential equations| AP Calculus BC | | |||
| Worked example: Euler's method | Differential equations| AP Calculus BC | | |||
| Separable differential equations introduction | First order differential equations | |||
| Addressing treating differentials algebraically | AP Calculus AB | |||
| Worked example: separable differential equations | AP Calculus AB | | |||
| Worked example: identifying separable equations | AP Calculus AB | |||
| Finding specific antiderivatives: rational function | AP Calculus AB | |||
| Finding specific antiderivatives: exponential function | AP Calculus AB | | |||
| Particular solution to differential equation example | |||
| Worked example: separable equation with an implicit solution | | |||
| Modeling population with simple differential equation | | |||
| Particular solution given initial conditions for population | |||
| Worked example: exponential solution to differential equation | AP Calculus AB | | |||
| Modeling population as an exponential function | First order differential equations | | |||
| Logistic differential equation intuition | First order differential equations | | |||
| Worked example: Logistic model word problem | Differential equations | AP Calculus BC | |||
| Solving the logistic differential equation part 1 | | |||
| Solving the logistic differential equation part 2 | |||
| Applications of integration | |||
| Average value over a closed interval | AP Calculus AB | | |||
| Calculating average value of function over interval | AP Calculus AB | | |||
| Mean value theorem for integrals | AP Calculus AB | |||
| Motion problems with integrals: displacement vs. distance | AP Calculus AB | | |||
| Analyzing motion problems: position | AP Calculus AB | |||
| Analyzing motion problems: total distance traveled | AP Calculus AB | | |||
| Worked example: motion problems (with definite integrals) | AP Calculus AB | | |||
| Average acceleration over interval | AP Calculus BC | | |||
| Area under rate function gives the net change | AP Calculus AB | | |||
| Interpreting definite integral as net change | AP Calculus AB | |||
| Worked examples: interpreting definite integrals in context | AP Calculus AB | | |||
| Analyzing problems involving definite integrals | AP Calculus AB | | |||
| Worked example: problem involving definite integral (algebraic) | AP Calculus AB | | |||
| Area between a curve and the x-axis | AP Calculus AB | | |||
| Area between a curve and the x-axis: negative area | AP Calculus AB | | |||
| Area between curves | Applications of definite integrals | AP Calculus AB | | |||
| Worked example: area between curves | AP Calculus AB | | |||
| Area between curves with multiple boundaries | |||
| Area between a curve and and the _-axis | AP Calculus AB | | |||
| Horizontal area between curves | Applications of definite integrals | AP Calculus AB | | |||
| Volume with cross sections: intro | Applications of integration | AP Calculus AB | | |||
| Volume with cross sections: squares and rectangles (no graph) | AP Calculus AB | | |||
| Volume with cross sections perpendicular to y-axis | AP Calculus AB | | |||
| Volume with cross sections: semicircle | AP Calculus AB | |||
| Volume with cross sections: triangle | AP Calculus AB | | |||
| Disc method around x-axis | Applications of definite integrals | AP Calculus AB | |||
| Generalizing disc method around x-axis | AP Calculus AB | | |||
| Disc method around y-axis | Applications of definite integrals | AP Calculus AB | | |||
| Disc method rotation around horizontal line | AP Calculus AB | |||
| Disc method rotating around vertical line | AP Calculus AB | | |||
| Calculating integral disc around vertical line | AP Calculus AB | | |||
| Solid of revolution between two functions (leading up to the washer method) | | |||
| Generalizing the washer method | Applications of definite integrals | AP Calculus AB | | |||
| Washer method rotating around horizontal line (not x-axis), part 1 | AP Calculus AB | |||
| Washer method rotating around horizontal line (not x-axis), part 2 | AP Calculus AB | |||
| Washer method rotating around vertical line (not y-axis), part 1 | AP Calculus AB | | |||
| Washer method rotating around vertical line (not y-axis), part 2 | AP Calculus AB | | |||
| Arc length intro | Applications of definite integrals | AP Calculus BC | | |||
| Worked example: arc length | Applications of definite integrals | AP Calculus BC | |||
| Parametric equations, polar coordinates and vector-valued functions | |||
| Parametric equations 1 | Parametric equations and polar coordinates | Precalculus | | |||
| Derivative of a parametric function | |||
| Second derivatives (parametric functions) | Advanced derivatives | AP Calculus BC | | |||
| Parametric curve arc length | Applications of definite integrals | AP Calculus BC | | |||
| Worked example: Parametric arc length | AP Calculus BC | |||
| Position vector valued functions | Multivariable Calculus | | |||
| Derivative of a position vector valued function | Multivariable Calculus | |||
| Second derivatives (vector-valued functions) | Advanced derivatives | AP Calculus BC | | |||
| Planar motion example: acceleration vector | Advanced derivatives | AP Calculus BC | | |||
| Motion along a curve: finding rate of change | Advanced derivatives | AP Calculus BC | |||
| Motion along a curve: finding velocity magnitude | AP Calculus BC | | |||
| Planar motion (with integrals) | Applications of definite integrals | AP Calculus BC | | |||
| Polar functions derivatives | Advanced derivatives | AP Calculus BC | | |||
| Worked example: differentiating polar functions | AP Calculus BC | | |||
| Area bounded by polar curves | Applications of definite integrals | AP Calculus BC | | |||
| Worked example: Area enclosed by cardioid | AP Calculus BC | |||
| Worked example: Area between two polar graphs | AP Calculus BC | |||
| Evaluating definite integral with calculator | AP Calculus BC | |||
| Infinite sequences and series | |||
| Convergent and divergent sequences | Series | AP Calculus BC | | |||
| Worked example: sequence convergence/divergence | Series | AP Calculus BC | | |||
| Partial sums intro | Series | AP Calculus BC | | |||
| Partial sums: formula for nth term from partial sum | Series | AP Calculus BC | | |||
| Partial sums: term value from partial sum | Series | AP Calculus BC | | |||
| Infinite series as limit of partial sums | Series | AP Calculus BC | | |||
| Infinite series as limit of partial sums | Series | AP Calculus BC | | |||
| Worked example: divergent geometric series | Series | AP Calculus BC | | |||
| Vertical distance of bouncing ball | Sequences, series and induction | Precalculus | | |||
| Repeating decimal as infinite geometric series | Precalculus | | |||
| nth term divergence test | Series | AP Calculus BC | | |||
| Integral test | Series | AP Calculus BC | | |||
| Worked example: Integral test | Series | AP Calculus BC | | |||
| Harmonic series and 𝑝-series | AP®︎ Calculus BC | | |||
| Worked example: p-series | Series | AP Calculus BC | | |||
| Direct comparison test | Series | AP Calculus BC | | |||
| Worked example: direct comparison test | Series | AP Calculus BC | |||
| Limit comparison test | Series | AP Calculus BC | | |||
| Worked example: limit comparison test | Series | AP Calculus BC | | |||
| Proof: harmonic series diverges | Series | AP Calculus BC | | |||
| Alternating series test | Series | AP Calculus BC | | |||
| Worked example: alternating series | Series | AP Calculus BC | | |||
| Ratio test | Series | AP Calculus BC | | |||
| Conditional & absolute convergence | Series | AP Calculus BC | | |||
| Alternating series remainder | Series | AP Calculus BC | | |||
| Worked example: alternating series remainder | Series | AP Calculus BC | |||
| Taylor & Maclaurin polynomials intro (part 1) | Series | AP Calculus BC | | |||
| Taylor & Maclaurin polynomials intro (part 2) | Series | AP Calculus BC | |||
| Worked example: Maclaurin polynomial | Series | AP Calculus BC | | |||
| Worked example: coefficient in Maclaurin polynomial | Series | AP Calculus BC | | |||
| Worked example: coefficient in Taylor polynomial | Series | AP Calculus BC | |||
| Visualizing Taylor polynomial approximations | AP Calculus BC | | |||
| Taylor polynomial remainder (part 1) | Series | AP Calculus BC | |||
| Taylor polynomial remainder (part 2) | Series | AP Calculus BC | |||
| Worked example: estimating sin(0.4) using Lagrange error bound | AP Calculus BC | | |||
| Worked example: estimating e_ using Lagrange error bound | AP Calculus BC | |||
| Power series intro | Series | AP Calculus BC | |||
| Worked example: interval of convergence | Series | AP Calculus BC | | |||
| Function as a geometric series | Series | AP Calculus BC | | |||
| Function as a geometric series | Series | AP Calculus BC | | |||
| Power series of arctan(2x) | Series | AP Calculus BC | | |||
| Power series of ln(1+x_) | Series | AP Calculus BC | | |||
| Maclaurin series of cos(x) | Series | AP Calculus BC | |||
| Maclaurin series of sin(x) | Series | AP Calculus BC | |||
| Maclaurin series of e_ | Series | AP Calculus BC | | |||
| Worked example: power series from cos(x) | Series | AP Calculus BC | | |||
| Worked example: cosine function from power series | Series | AP Calculus BC | |||
| Worked example: recognizing function from Taylor series | Series | AP Calculus BC | | |||
| Visualizing Taylor series approximations | Series | AP Calculus BC | | |||
| Euler's formula & Euler's identity | Series | AP Calculus BC | |||
| Geometric series interval of convergence | Series | AP Calculus BC | | |||
| Integrating power series | Series | AP Calculus BC | |||
| Differentiating power series | Series | AP Calculus BC | |||
| Finding function from power series by integrating | Series | AP Calculus BC | | |||
| Interval of convergence for derivative and integral | Series | AP Calculus BC | | |||
| Formal definition for limit of a sequence | Series | AP Calculus BC | |||
| Proving a sequence converges using the formal definition | Series | AP Calculus BC | |||
| Finite geometric series formula justification | High School Math | | |||
| Another derivation of the sum of an infinite geometric series | Precalculus | | |||
| Another derivation of the sum of an infinite geometric series | Precalculus | | |||
| Proof of p-series convergence criteria | Series | AP Calculus BC | | |||
| AP calculus BC solved exams | |||
| 2017 AP Calculus AB/BC 4a | AP Calculus AB solved exams | AP Calculus AB | | |||
| 2017 AP Calculus AB/BC 4b | AP Calculus AB solved exams | AP Calculus AB | |||
| 2017 AP Calculus AB/BC 4c | AP Calculus AB solved exams | AP Calculus AB | | |||
| 2015 AP Calculus BC 2a | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2015 AP Calculus BC 2b | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2015 AP Calculus BC 2c | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2015 AP Calculus BC 2d | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2015 AP Calculus BC 5a | AP Calculus BC solved exams | AP Calculus BC | |||
| 2015 AP Calculus BC 5b | AP Calculus BC solved exams | AP Calculus BC | |||
| 2015 AP Calculus BC 5c | |||
| 2015 AP Calculus BC 5d | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2015 AP Calculus BC 6a | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2015 AP Calculus BC 6b | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2015 AP Calculus BC 6c | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2011 Calculus BC free response #1a | AP Calculus BC solved exams | AP Calculus BC | | |||
| 2011 Calculus BC free response #1 (b & c) | AP Calculus BC | | |||
| 2011 Calculus BC free response #1d | AP Calculus BC | | |||
| 2011 Calculus BC free response #3a | AP Calculus BC | | |||
| 2011 Calculus BC free response #3a | AP Calculus BC | | |||
| 2011 Calculus BC free response #6a | AP Calculus BC | | |||
| 2011 Calculus BC free response #6b | AP Calculus BC | |||
| 2011 Calculus BC free response #6c | AP Calculus BC | | |||
| 2011 Calculus BC free response #6d | AP Calculus BC | | |||
| AP Calculus BC exams: 2008 1 a | AP Calculus BC | | |||
| AP Calculus BC exams: 2008 1 b&c | AP Calculus BC | |||
| AP Calculus BC exams: 2008 1 b&c | AP Calculus BC | |||
| AP Calculus BC exams: 2008 1 d | AP Calculus BC | | |||
| Calculus BC 2008 2 a | AP Calculus BC | | |||
| Calculus BC 2008 2 b &c | AP Calculus BC | | |||
| Calculus BC 2008 2d | AP Calculus BC | | |||
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