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📈 AP Calculus AB College Board CED-aligned 8 units 5 of 8 units live

Calculus AB · Unit-by-Unit Slides

Work through all 8 units of the official College Board Course and Exam Description. Every slide is built from the CED skill list — definitions, theorems, formulas, worked examples, common mistakes and curated YouTube lessons.

🧠 LIMd/dx∫📐⏱️ BC Topic: Series & Polar
1
Limits and Continuity
Intuitive & ε-δ definitions of limit, limit laws, continuity, types of discontinuities, IVT, infinite limits, asymptotes.
2.1 Intuition2.2 Limit Laws2.3 Continuity2.4 IVT2.5 Infinite Limits2.6 Asymptotes
38 slides⏱ 90 min
2
Differentiation · Definition & Basic Rules
Derivative as a limit, differentiability, power/sum/product/quotient rules, basic trig derivatives.
3.1 Average vs Inst3.2 Def of f'3.3 Power Rule3.4 Trig d/dx3.5 Product/Quotient
38 slides⏱ 80 min
3
Composite, Implicit & Inverse Functions
Chain rule, implicit differentiation, derivatives of inverse + inverse trig.
Chain RuleImplicit Diff(f⁻¹)'d/dx sin⁻¹ x
38 slides⏱ 70 min
4
Contextual Applications of Differentiation
Interpreting derivatives, motion along a line, related rates, linear approximation, L'Hôpital's Rule.
f' meaningv & aRelated RatesLinear ApproxL'Hôpital
35 slides⏱ 80 min
5
Analytical Applications of Differentiation
MVT, EVT, intervals of increase/decrease, concavity, extrema, sketching, optimization.
MVTCrit PtsConcavityCurve SketchOptimization
38 slides⏱ 85 min
6
Integration & Accumulation of Change
Reimann sums, definite integral, FTC, u-substitution, integrating inverse trig.
RiemannFTC∫f dxu-sub∫sin⁻¹, tan⁻¹
~38 slides⏱ 80 min
7
Differential Equations
Modeling with differential equations, slope fields, separation of variables, exponential/logistic growth.
dy/dx ModelsSlope FieldsSeparatione^x / Logistic
~28 slides⏱ 60 min
8
Applications of Integration
Avg value, accumulation, areas between curves, volume (cross-section & disc), particle motion integrals.
Avg ValueArea BetweenDisc/WasherCross-SectionsParticle Motion
~32 slides⏱ 70 min

How it works: Open a unit, press → or click the side rail to navigate. Every unit ends with a knowledge-checklist mapped to CED skill IDs.