Master calculus — one rigorous step at a time
A college-level AI professor walks you through every limit, derivative, and integral with the same methodical clarity you'd get at office hours — so you can finally stop guessing and start solving with confidence.
"I won't simplify the math — I'll make sure you actually understand it, one careful step at a time."
— AI Professor Courses
What you'll learn
What you'll be able to do
- Evaluate limits analytically, graphically, and numerically — including one-sided and infinite limits
- Apply differentiation rules (chain, product, quotient) confidently to algebraic, trigonometric, and exponential functions
- Solve real-world optimization and related-rates problems using derivatives
- Compute definite and indefinite integrals using substitution and integration by parts
- Interpret the Fundamental Theorem of Calculus and connect differentiation to integration conceptually
- Approach calculus exam problems systematically, showing rigorous step-by-step work that earns full credit
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 · 28 lessons
Foundations & The Limit
Builds the conceptual and algebraic groundwork for calculus by mastering limits in all their forms.
- 1.1What Is Calculus? Big Picture Before the DetailsIncluded
- 1.2Understanding Limits Graphically and NumericallyIncluded
- 1.3Evaluating Limits AnalyticallyIncluded
- 1.4One-Sided Limits and ContinuityIncluded
- 1.5Limits at Infinity and Infinite LimitsIncluded
The Derivative — Concept and Rules
Develops the derivative from first principles and equips students with every core differentiation rule.
- 2.1The Derivative as a Limit — Definition and NotationIncluded
- 2.2Power Rule, Constant Rule, and Sum/Difference RuleIncluded
- 2.3Product Rule and Quotient RuleIncluded
- 2.4Chain Rule — Differentiating Composite FunctionsIncluded
- 2.5Derivatives of Trigonometric, Exponential, and Logarithmic FunctionsIncluded
Applying Derivatives
Puts differentiation to work on the classic calculus applications: curve analysis, optimization, and related rates.
- 3.1Implicit DifferentiationIncluded
- 3.2Analyzing Curves — Increasing, Decreasing, and ConcavityIncluded
- 3.3Optimization — Finding Absolute and Relative ExtremaIncluded
- 3.4Related RatesIncluded
- 3.5L'Hôpital's Rule and Indeterminate FormsIncluded
Integration — Concept and Core Techniques
Introduces the integral from area accumulation through the Fundamental Theorem and into hands-on computation techniques.
- 4.1Antiderivatives and Indefinite IntegralsIncluded
- 4.2Riemann Sums and the Definite IntegralIncluded
- 4.3The Fundamental Theorem of CalculusIncluded
- 4.4Integration by Substitution (u-Substitution)Included
- 4.5Integration by PartsIncluded
Applications of Integration
Demonstrates how definite integrals measure area, accumulated change, and physical quantities in real contexts.
- 5.1Area Between CurvesIncluded
- 5.2Volumes of Solids of RevolutionIncluded
- 5.3Accumulation Functions and Net ChangeIncluded
Exam Mastery — Strategy, Rigor, and Full-Credit Work
Trains students to approach any calculus exam problem systematically, showing the step-by-step reasoning graders reward.
- 6.1How Graders Think — Partial Credit and Scoring StrategyIncluded
- 6.2Writing Rigorous Solutions Step by StepIncluded
- 6.3Common Mistakes and How to Catch ThemIncluded
- 6.4Full Exam Simulation — Calculus IIncluded
- 6.5Full Exam Simulation — Calculus II TopicsIncluded
Who it's for
Is this you?
Calculus I survivors
She passed but barely, and knows the gaps are going to catch up with her in Calc II — this school fills them in properly.
STEM undergraduates
He needs calculus fluency for physics, engineering, or computer science coursework and wants to build it on a solid, rigorous foundation.
AP Calculus students
She's preparing for the AP exam and wants university-level instruction that matches exactly what AP graders expect to see.
Dual-enrollment students
He's taking college calculus while still in high school and needs a resource that matches the rigor and pacing of a real university course.
Returning math students
He took calculus years ago, remembers almost none of it, and needs a structured refresher before re-entering a STEM program or graduate coursework.
Self-directed learners
She never took formal calculus but wants genuine mathematical literacy — not shortcuts, but the real thing, taught the way it deserves to be.
Questions
Frequently asked
Your teacher
A note from your teacher
AI Professor Courses
If you've ever walked out of a calculus lecture understanding less than when you walked in, I want you to know — that's not a reflection of your ability. It's almost always a reflection of pace. University calculus moves fast, notation gets dropped without explanation, and the steps that seem "obvious" to someone who's taught the material for years are often the exact steps that leave students stranded. I've seen this happen too many times from the front of a classroom, and it's what motivated me to build Campus Calculus.
I'm a college professor, and calculus is what I teach. Not as a side project or a passion hobby — as my actual academic work. I know how these courses are structured, how exams are written, and how graders decide what earns points and what doesn't. I also know the moments where students tend to fall off: the jump from algebraic limit evaluation to one-sided limits, the Chain Rule applied to composite trigonometric functions, the conceptual leap required to genuinely understand the Fundamental Theorem of Calculus rather than just memorize it. This school is built around those moments specifically.
What I've tried to create here is the experience of a well-run course with a professor who has time for you. Every concept is introduced in the right sequence. Every rule is derived or motivated before it's applied. Every worked example shows the full solution — not the shortcut version, but the version that would earn full credit on a university exam. The Exam Mastery unit in particular reflects something I care deeply about: knowing the math is necessary, but showing the math in a way your grader can follow is a learnable skill, and one that makes a measurable difference in your grade.
Whether you're a college sophomore trying to survive your first real math course, a STEM student who passed Calc I on sheer willpower and knows the gaps are starting to show, or a high schooler who wants to walk into AP exam day feeling genuinely prepared — this school is for you. The material is real, the rigor is real, and so is the support. Come in, take a seat, and let's get to work.
— AI Professor Courses
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- 6 modules, 28 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