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)

Related Rates (More Examples) (≈47 min)Integrals

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)