AP Calculus AB · Intensive Program
Get AP Calculus ab 5 in 30 Days
A day-by-day roadmap from zero to a perfect score — no cramming, no gaps.
~75 min/day
Daily commitment
4 Phases
Structured learning
30 Topics
Full AB coverage
Score: 5
The target
Each day builds on the last. Don not skip ahead — the sequence is intentional.
- Click any topic to open the full lesson with worked examples and hints.
- Complete all tasks before moving to the next day.
- Keep an error log — mistakes you repeat are points you are leaving on the table.
Phase 0 · Days -5 to 0🌉
Pre-Calculus Power Bridge
Solidify algebra and function foundations to remove all 'tool-based' obstacles before Calculus.
Prep Week
-5
Function Bootcamp
60 min- Number systems and logic symbols
- Function modeling and applications
- Domain and range restrictions
- Injective and surjective mappings
- Composition and recursive patterns
- Symmetry and inverse functions
-4
Algebra Survival Skills
45 min- Factoring for limit cancellation
- Complex fraction simplification
- Rationalization with conjugates
- Power and root exponent laws
- Completing the square mastery
- Simplification via substitution
-3
Trigonometry Essentials
75 min- Unit Circle & ASTC quadrant mastery
- Special values (30-60-90 & 45-45-90)
- Pythagorean & Double-Angle identities
- Inverse Trig domain/range restrictions
- Notation: sin⁻¹(x) vs (sin x)⁻¹
-2
Exponential & Log Mastery
60 min- Exponent laws & fractional power conversion
- Inverse relationship between 'e' and 'ln'
- Log properties: Product, Quotient, & Power
- Solving growth/decay (Aeʳᵗ) equations
- Growth Hierarchy: Exponential > Polynomial > Log
-1
Graphical Intuition & Rate of Change
45 min- AROC calculation (Secant line slope)
- Visualizing the limit: Secant to Tangent
- IROC concept: Slope at a single point
- Geometric formulas (Sphere/Cone/Triangles)
- Absolute value splitting & transformations
0
AP Calculus AB — Course Introduction
10 min- Understand the exam structure: MCQ + FRQ breakdown
- Learn how the 1–5 scoring scale works
- Set up your error log and study routine
Phase 1 · Days 1–7∞
Limits & Continuity
Build rock-solid intuition for limits—the language everything else is written in.
Week 1
Phase 2 · Days 8–16d/dx
Derivatives
Master every differentiation rule and apply them fluently under exam conditions.
Week 2
Week 3 (Part)
Phase 3 · Days 17–24∫
Integrals
Connect differentiation and integration through the Fundamental Theorem and build calculation speed.
Week 3 (Part)
Week 4 (Part)
Phase 4 · Days 25–305
Exam Simulation
Simulate real exam conditions, sharpen FRQ writing, and eliminate remaining weak spots.
Final Week
Pro Tip: Track Your Progress
Check off each day as you complete it. The simple act of marking progress releases dopamine and keeps you consistent. A streak of 7 days is a habit. A streak of 30 days is mastery.