AP Calculus AB/BC
These videos were created for a high school AP Calculus course using the 2015-2016 syllabus. Some topics from the current AP syllabus are not included and some are not in depth.
AP Calculus AB videos
Limits
Limits: An Introduction (≈46 min)
Infinite Limits and Vertical Asymptotes (≈29 min)
Limits at Infinity and Horizontal Asymptotes (≈32 min)
Reading Limits from a graph (≈12 min)
Limit Laws (≈16 min)
Continuity (≈32 min)
Trigonometric Limits (≈11 min)
Evaluating Limits Algebraically (≈39 min)
Derivatives
Defn of the derivative at x=a (≈34 min)
Derivative as a function (≈18 min)
Reading graph of f(x) to find derivatives (≈44 min)
Power Rule and Higher Derivatives (≈48 min)
Power Rule and Higher Derivatives (25 min)
Derivatives as Slopes of Tangent Lines (≈17 min)
Product and Quotient Rule (≈30 min)
Tangent Lines and Normal Lines(≈22 min)
Chain Rule (≈30 min)
AP Chain Rule (≈49 min)
Derivatives of Exponentials and Logs (≈35 min)
Derivatives of Inverse Functions (≈13 min)
Derivatives of Inverse Trig Functions (≈15 min)
Implicit Differentiation (≈29 min)
Linear Approximations (≈24 min)
L'Hopital's Rule (≈22 min)
Applications of Derivatives
Extreme Values (≈32 min)
Intro to Monotonicity (≈41 min)
Intro to Concavity (≈29 min)
Analyzing Critical Values (≈33 min)
Interpreting the graph of f '(x) and f ''(x) (≈24 min)
Graph Sketching(≈31 min)
Intro to Rates (≈50 min)
Rates of Change (The Basics) (≈58 min)
Rates of Change (Examples) (≈37 min)
Intermediate Value Theorem, Mean Value Theorem, Rolle's (≈23 min)
Related Rates (The Basics) (≈31min)
Antiderivatives (≈ 29 min)
Differential Equations (≈ 30 min)
Areas and Distances (≈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)
Integration by Parts (≈ 27 min)
Partial Fraction Integration Basics (≈35 min)
Integral Test (for series) (≈8 min)
Methods of Integration (≈43 min)
(includes basic integrals using substitution, integration by parts, basic partial fraction decomposition)
Applications of Integration
Integral as a Net change (≈31 min)
AP Net Change (part 1) (≈55 min)
AP Net Change (part 2) (≈47 min)
AP Calculus BC videos
Integrals of More Transcendental Functions
Partial Fraction Integration Basics
Methods of Integration (includes basic integrals using substitution, parts, basic partial fraction decomposition)
Trapezoidal Approximation Method
Separable Differential Equations
Logistic Differential Equations
Parametric Differentiation and Arc Length
Volumes of Revolution: Disk Method
Volumes of Revolution: Washer Method
Introduction to Polar Coordinates
Intro to Series and Infinite Series
nth term test and Harmonic Series
Introduction to Taylor Polynomials
Convergence of series w/ positive terms & p-series test
Convergence of series with alternating terms and the Alternating Series Test
Strategies for testing convergence of infinite series
Alternating Series Error Bound