Code Scholars Tutoring · AP Calculus AB
AP Calculus AB Study Guides
34 study lessons mapped to all 81 AB topic codes, with original explanations, worked examples, self-checks, and solutions.
Unit 1 · 10–15% of MCQ
Limits and Continuity
- Reading limits from graphs and tables
Topics 1.1, 1.2, 1.3, 1.4, 1.9
- Limit laws, cancellation, and rationalization
Topics 1.5, 1.6, 1.7
- Squeeze arguments and infinite behavior
Topics 1.8, 1.14, 1.15
- Continuity and removable discontinuities
Topics 1.10, 1.11, 1.12, 1.13
- Justifying existence with the IVT
Topics 1.16
Unit 2 · 10–15% of MCQ
Differentiation: Definition and Fundamental Properties
- Derivatives as limits and local rates
Topics 2.1, 2.2, 2.3
- Where derivatives fail to exist
Topics 2.4
- Power, linearity, and elementary derivative rules
Topics 2.5, 2.6, 2.7, 2.10
- Product and quotient rules
Topics 2.8, 2.9
Unit 3 · 5–10% of MCQ
Differentiation: Composite, Implicit, and Inverse Functions
- Compositions and choosing derivative rules
Topics 3.1, 3.5
- Implicit differentiation and tangent equations
Topics 3.2, 3.6
- Inverse functions and inverse trigonometry
Topics 3.3, 3.4
Unit 4 · 10–15% of MCQ
Contextual Applications of Differentiation
- Rates, motion, and units
Topics 4.1, 4.2, 4.3
- Related rates from models to interpretation
Topics 4.4, 4.5
- Local linearity and error direction
Topics 4.6
- L’Hospital’s rule and indeterminate quotients
Topics 4.7
Unit 5 · 15–20% of MCQ
Analytical Applications of Differentiation
- Theorems, hypotheses, and critical points
Topics 5.1, 5.2
- Monotonicity, extrema, and concavity
Topics 5.3, 5.4, 5.6, 5.7
- Absolute extrema on an interval
Topics 5.5
- Reading derivative graphs and implicit curves
Topics 5.8, 5.9, 5.12
- Modeling and justifying optimal values
Topics 5.10, 5.11
Unit 6 · 15–20% of MCQ
Integration and Accumulation of Change
- Riemann sums, trapezoids, and signed area
Topics 6.1, 6.2, 6.3
- FTC for integral-defined functions
Topics 6.4, 6.5
- Integral properties and the evaluation theorem
Topics 6.6, 6.7
- Basic antiderivatives and substitution
Topics 6.8, 6.9
- Algebra before integration and method selection
Topics 6.10, 6.14
Unit 7 · 5–10% of MCQ
Differential Equations
- Modeling and verifying differential equations
Topics 7.1, 7.2
- Slope fields and qualitative behavior
Topics 7.3, 7.4
- Separation, initial conditions, and lost equilibria
Topics 7.6, 7.7
- Growth, decay, and proportional change
Topics 7.8
Unit 8 · 10–15% of MCQ
Applications of Integration
- Average value, motion, and net change
Topics 8.1, 8.2, 8.3
- Area between curves and changing orientation
Topics 8.4, 8.5, 8.6
- Known cross-section volumes
Topics 8.7, 8.8
- Disks and washers about ordinary and shifted axes
Topics 8.9, 8.10, 8.11, 8.12