AP Calculus AB/BC
Click each drop down to find full length lessons on topics in a traditional AP Calculus AB/BC class. If you need to brush up on Algebra and Trig before calculus, check out my Calculus Prep videos. If you find these videos helpful, please comment, like, and subscribe on YouTube and share with classmates.
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Limits: An Introduction (≈47 min)
More Reading Limits from a graph (≈12 min)
Infinite Limits and Vertical Asymptotes (≈29 min)
Continuity (≈32 min)
Evaluating Limits Algebraically (≈39 min)
Trigonometric Limits (≈11 min)
Limits at Infinity and Horizontal Asymptotes (≈62 min)
Intermediate Value Theorem (≈39 min)
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Defn of the derivative at x=a (≈36 min)
Derivative as a function (≈47 min)
Reading graph of f(x) to find derivatives (≈44 min)
Power Rule and Higher Derivatives (≈43 min)
Tangent Lines and Normal Lines(≈22 min)
Derivatives as Slopes of Tangent Lines (≈17 min)
Product Rule (≈14 min)
Quotient Rule (≈17 min)
Trigonometric Derivatives (≈8 min)
Chain Rule (≈30 min)
AP Chain Rule (≈49 min)
Derivatives of Exponentials and Logarithms (≈35 min)
Derivatives of Inverse Functions (≈13 min)
Derivatives of Inverse Trig Functions (≈15 min)
Implicit Differentiation (≈44 min)
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Rates of Change (The Basics) (≈38 min)
Rates of Change (More Examples) (≈37 min)
Related Rates (The Basics) (≈31min)
Related Rates (More Examples) (≈47 min)
Linear Approximations (≈24 min)
L'Hopital's Rule (≈22 min)
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Extreme Values (≈32 min)
Intro to Monotonicity (≈41 min)
Analyzing Critical Values with the First Derivative test (≈33 min)
Intro to Concavity (≈29 min)
Analyzing Critical Values with the Second Derivative Test (11 min)
Interpreting the graph of f '(x) and f ''(x) (≈24 min)
Graph Sketching (≈58 min)
Mean Value Theorem (≈23 min)
Rolle’s Theorem (≈23 min)
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Antiderivatives (≈ 29 min)
Approximating Area:RAM (≈62 min )
Definite Integral (≈61 min)
Fundamental Theorem of Calculus (≈32 min)
FTC (Part 1) (≈23 min)
FTC (Part 2) (≈45 min)
AP RAM and TAM (≈37 min)
AP FTC (≈55 min)
Substitution Method (Indefinite Integrals) (≈30 min)
Substitution Method (Definite Integrals) (≈17 min)
Integrals involving Transcendental Functions (≈9 min)
(BC Only) Integration by Parts (≈27 min)
(BC Only) Partial Fraction Integration Basics (≈35 min)
Methods of Integration (≈43 min)
Integral as a Net change (≈31 min)
AP Net Change (part 1) (≈55 min)
AP Net Change (part 2) (≈47 min)
Improper Integrals (≈14 min)
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Differential Equations (≈ 30 min)
Separable Differential Equations (≈37 min)
Slope Fields (≈34 min)
(BC only) Logistic Differential Equations (≈48 min)
(BC only) Euler's Method (≈25 min)
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Area Between Two Curves [dx] (≈47 min)
Area Between Two Curves [dy] (≈24 min)
MVT for Integrals (≈31 min)
Volume: Known Cross Sections (≈50 min)
Volumes of Revolution: Disk Method (≈19 min)
Volumes of Revolution: Washer Method (≈28 min)
(BC only) Method of Cylindrical Shells (≈30 min)
(BC only) Arc Length (≈8 min)
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Parametric Differentiation and Arc Length (≈27 min)
Vector-Valued Functions (≈41 min)
Introduction to Polar Coordinates (≈38 min)
Polar Derivatives (≈23 min)
Polar Area (≈57 min)
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Series <-- Digital textbook that I followed
Intro to Sequences (≈28 min)
Intro to Series (≈11 min)
Infinite Series (≈17 min)
nth term test and Harmonic Series (≈14 min)
Geometric Series (≈18 min)
Introduction to Taylor Polynomials (≈17 min)
Building a Taylor Polynomial (≈41 min)
Ratio and Root Test (≈24 min)
Intro to Power Series (≈31 min)
More on the RoC and IoC (≈19 min)
Integral Test (≈8 min)
Convergence of series w/ positive terms & p-series test (≈8 min)
Direct Comparison Test (≈25 min)
Limit Comparison Test (≈13 min)
Convergence of series with alternating terms and the Alternating Series Test (≈17 min)
Strategies for testing convergence of infinite series (≈16 min)
Alternating Series Error Bound (≈12 min)
Lagrange Error Bound (≈20 min)
Power Series and Intervals of Convergence (≈17 min)
Taylor Series (≈42 min)