Score a 4 or 5 on AP® Calculus AB — without drowning in your textbook
Pass Faster AI™ Calculus is a diagnostic-driven system that finds your exact gaps in limits, derivatives, and integrals — then drills only what the AP® exam actually tests, so you stop wasting time and start stacking points.
"I'm not here to make calculus feel warm and fuzzy — I'm here to show you exactly what the AP® exam tests, drill it until it's automatic, and get you to a 4 or 5."— Leigh Baumann
What you'll learn
What you'll be able to do
- Evaluate limits algebraically and graphically and identify continuity and discontinuities across all AP-tested scenarios
- Apply differentiation rules — power, product, quotient, and chain — accurately and fluently under timed exam conditions
- Solve related rates and optimization problems using a reliable, step-by-step AP problem-solving framework
- Compute definite and indefinite integrals and apply the Fundamental Theorem of Calculus to accumulation problems
- Interpret graphs of functions, derivatives, and rates of change to answer AP free-response and multiple-choice questions confidently
- Complete full-length AP®-style practice exams with College Board timing and use personalized readiness scores to eliminate remaining weak spots
How it works
A school that adapts to you
This isn't a set of static videos. Every lesson is generated live and tuned to where you actually are.
We learn your level
A quick placement check tailors your starting point so you're never bored or lost.
Lessons adapt as you go
Each lesson is written for your pace and your goal, adjusting as your skills grow.
Your AI coach keeps you moving
Checkpoints, feedback, and gentle nudges turn progress into a real result.
The curriculum
What's inside your school
6 modules · 23 lessons
Diagnostic, Roadmap & AP Exam Intelligence
Before a single concept is taught, students discover exactly where they stand. A full-length diagnostic exam simulates real AP conditions and maps results to every high-impact skill area. Students leave this module with a personalized study roadmap, a clear picture of how the AP® Calculus AB exam is scored and structured, and a verified algebraic foundation — because shaky pre-calculus skills are the silent score-killer most students never address.
- 1.1AP® Calculus AB Diagnostic ExamIncluded
- 1.2How the AP® Calculus AB Exam Actually WorksIncluded
- 1.3Algebra & Pre-Calculus Fluency Fast-PassIncluded
Limits and Continuity
Limits are the conceptual and procedural foundation of all calculus. This module builds complete fluency in reading, evaluating, and reasoning about limits across every representation — graphs, tables, and equations — and connects limit behavior directly to the formal definition of continuity. Students learn to identify every type of discontinuity tested on the AP® exam and apply the Intermediate Value Theorem with precision. Every lesson is sequenced so that the graphical intuition comes before the algebra, mirroring how AP® exam questions scaffold from conceptual to procedural.
- 2.1Limit Behavior from Graphs and TablesIncluded
- 2.2Evaluating Limits AlgebraicallyIncluded
- 2.3Continuity, Discontinuity, and the IVTIncluded
Derivatives: Rules, Interpretation, and Fluency
This module builds complete differentiation fluency from the ground up — starting with the derivative's meaning before introducing mechanical rules, then layering product, quotient, chain, implicit, and inverse differentiation in deliberate sequence. Each rule is introduced with its AP® exam context front-and-center: not as abstract algebra, but as a tool for answering specific question types under timed pressure. By the end of this module, students differentiate any AP®-tested function type accurately and quickly, and interpret derivatives as rates of change across all representations.
- 3.1Derivative Definition and Basic RulesIncluded
- 3.2Product, Quotient, and Chain RulesIncluded
- 3.3Implicit Differentiation and Derivatives of Inverse FunctionsIncluded
- 3.4Analyzing Motion and Interpreting Graphs of DerivativesIncluded
Applications of Derivatives
This module takes the differentiation fluency built in Module 3 and deploys it in the exact applied contexts the AP® exam tests most heavily: related rates, optimization, curve sketching, and theorem-based reasoning. Each lesson is structured as a problem-solving framework, not just a concept overview — students learn repeatable, step-by-step approaches that work under timed conditions on both multiple-choice and free-response questions. The Mean Value Theorem and L'Hôpital's Rule are explicitly contextualized as AP® exam tools, not just textbook concepts.
- 4.1Related Rates: A Step-by-Step AP® FrameworkIncluded
- 4.2Optimization: Finding Maximums and MinimumsIncluded
- 4.3Curve Sketching with Derivatives: f, f', and f''Included
- 4.4Mean Value Theorem, L'Hôpital's Rule, and Exam-Day Application SkillsIncluded
Integrals, Accumulation, and the Fundamental Theorem
This module builds integration from the ground up — beginning with the concept of accumulation and Riemann sums before introducing antiderivatives, then connecting both threads through the Fundamental Theorem of Calculus. Sequencing is deliberate: conceptual accumulation understanding precedes mechanical integration rules, so students can answer AP® questions that test interpretation of integrals without requiring computation. The module closes with u-substitution, completing the AP®-tested integration toolkit.
- 5.1Indefinite Integrals and Basic Integration RulesIncluded
- 5.2Definite Integrals, Riemann Sums, and AreaIncluded
- 5.3The Fundamental Theorem of Calculus — Both PartsIncluded
- 5.4U-Substitution and Integration TechniquesIncluded
Applications of Integrals and Full AP® Exam Readiness
The final module applies integration to the real-world and analytical contexts that dominate the AP® Calculus AB exam's hardest free-response and multiple-choice questions: net change, accumulation from rate graphs, area between curves, and volume of solids of revolution. These applied lessons are followed by a two-exam readiness sequence — a full practice exam, targeted remediation, and a second full exam with a final readiness score — so every student finishes the course knowing exactly where they stand and what to do on exam day.
- 6.1Net Change, Accumulation, and Interpreting Rate GraphsIncluded
- 6.2Area and Volume ApplicationsIncluded
- 6.3Full-Length AP® Practice Exam 1 and Performance AnalysisIncluded
- 6.4Targeted Remediation and Weak-Area Re-DrillIncluded
- 6.5Full-Length AP® Practice Exam 2, Readiness Score, and Exam-Day StrategyIncluded
Who it's for
Is this you?
The Overwhelmed Junior
Taking AP® Calculus AB for the first time and feeling buried by the textbook — needs a clear, prioritized path to exam day without the noise.
The Last-Minute Prepper
Exam is 6–8 weeks away and needs a fast, diagnostic-driven system that focuses only on high-yield gaps instead of reviewing everything from scratch.
The Self-Study Student
Not enrolled in an AP® class but self-studying for the exam and needs structured, exam-accurate content with no assumption of a classroom behind them.
The 3-Chaser Aiming Higher
Already predicted a 3 from practice scores but knows a 4 or 5 is within reach if they can lock down derivatives, integrals, and FRQ strategy.
The Grade-A Student, Exam-Day Choker
Strong in class but loses points on timed exams — needs realistic AP®-style practice with performance analysis to build true test-day confidence.
The Retake-Ready Senior
Took the exam before, didn't get the score needed for college credit, and wants a precision-targeted second attempt with no wasted effort this time.
Questions
Frequently asked
Your teacher
A note from your teacher
Leigh Baumann
Here's something I see constantly: a student who genuinely works hard — reads the textbook, watches the videos, does the homework — and still walks into the AP® exam feeling like the floor dropped out. Not because they didn't study. Because they studied the wrong things, in the wrong order, without ever understanding how the exam actually thinks.
That disconnect is exactly what Pass Faster AI™ Calculus is built to fix.
I designed this course around one core truth about AP® Calculus AB: the exam is not trying to trick you. It's testing a specific, predictable set of skills — evaluating limits, applying differentiation rules fluently, setting up and solving related rates and optimization problems, computing integrals, and interpreting graphs. If you can do those things accurately under timed conditions, you score a 4 or 5. The problem is that most prep resources bury those skills under hundreds of pages of everything else. We don't do that here.
The course opens with a real diagnostic exam — not a quiz, not a poll, a full exam — so you know immediately where you stand and where to focus your time. From there, you move through limits, derivatives, their applications, and integrals in a deliberate sequence, with every lesson zeroed in on the patterns and question structures College Board actually uses. Related rates get a step-by-step framework. Curve sketching gets a systematic approach using f, f′, and f″ together. The Fundamental Theorem gets broken into both parts with the exact level of precision the free-response section demands. Nothing is vague. Everything has a method.
By the time you take Practice Exam 1, you'll have a real baseline. The performance analysis after that exam tells you exactly what to re-drill. Practice Exam 2 closes the loop — and the readiness score you come out with is a genuine predictor of where you'll land on exam day. I'm not here to make calculus feel warm and fuzzy. I'm here to get you to a 4 or 5. If you put in the reps, this system will get you there.
— Leigh Baumann
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- 6 modules, 23 lessons
- AI-adaptive lessons tuned to your level
- Quizzes & checkpoints to lock in progress
- Your own AI learning coach
- Learn on any device, at your pace
- Full access for as long as you're subscribed