How a calculus class works
A Tutix class is a live, spoken lesson one-to-one with an AI tutor. For calculus:
- Steps, not just answers. Calculus marks are for the chain of reasoning, so you write it and the tutor reads each line.
- Graphs and tables first. Limits and rates are taught from pictures, so the algebra has something to mean.
- Free-response practice. You answer a full question, the tutor tells you what is missing and what a full answer includes.
- The weak unit gets the next class. The recap says which unit was not secure, and the following class starts there.
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Example
Calculus · Limits · Indeterminate form
Evaluate the limit of (x2 − 1)/(x − 1) as x approaches 1.
0/0 is not an answer, it is a signal that more work is needed. Factor the numerator and see what cancels.
A sample written to show how a class sounds. The scores show how the exam would credit each answer. Not a real learner.
Programs that teach it
Each program is taught unit by unit as 15-minute lessons, at five levels from a quick review to the deepest level.
| Program | Curriculum | Units | Topics | Standard (hours) |
|---|---|---|---|---|
| AP Calculus AB | AP | 8 | 81 | 29.2 |
| AP Calculus BC | AP | 10 | 111 | 39.8 |
| AP Precalculus | AP | 4 | 58 | 26.2 |
Every program that teaches calculus sits beside the others, to one hours scale, on the Programs page.
What the programs cover
The units of each ready-made calculus program, as the course itself divides them.
AP Calculus AB
- Limits and Continuity
- Differentiation: Definition and Fundamental Properties
- Differentiation: Composite, Implicit, and Inverse Functions
- Contextual Applications of Differentiation
- Analytical Applications of Differentiation
- Integration and Accumulation of Change
- Differential Equations
- Applications of Integration
AP Calculus BC
- Limits and Continuity
- Differentiation: Definition and Fundamental Properties
- Differentiation: Composite, Implicit, and Inverse Functions
- Contextual Applications of Differentiation
- Analytical Applications of Differentiation
- Integration and Accumulation of Change
- Differential Equations
- Applications of Integration
- Parametric Equations, Polar Coordinates, and Vector-Valued Functions
- Infinite Sequences and Series
AP Precalculus
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions
- Trigonometric and Polar Functions
- Functions Involving Parameters, Vectors, and Matrices
Planned: A Level Mathematics and A Level Further Mathematics. Until a ready-made program exists you can start a class on any of them from your own notes, and see every program, including those coming soon.
What the tutor watches for
The mistakes below cost marks most often in calculus. A tutor that knows them can catch them at the step where they happen.
- Treating 0/0 as an answer instead of a signal that more work is needed.
- Forgetting the chain rule, or multiplying two derivatives when a product needs both orders.
- Giving a function's value when the question asks for its derivative at a point.
- Leaving out the constant of integration, or the units in a rate question.
- In series, concluding convergence because the terms go to zero, which is necessary but not sufficient.
What it costs
You can start on the Free plan: 45 live class minutes a month (about one class of the default length), no card needed. Pro is $15 a month for 6 hours of live class time, and Pro+ is $30 for 15 hours.
| Plan | Price | Live class time a month | Works out to | Note |
|---|---|---|---|---|
| Free | $0 | 45 min | about one class | No card needed |
| Pro | $15 a month | 360 min (6 hours) | $2.50 an hour | $150 a year if paid yearly |
| Pro+ | $30 a month | 900 min (15 hours) | $2 an hour | $300 a year if paid yearly |
| Pico | No monthly fee | Pay as you go | $3 an hour ($0.05 a minute) | Paid from a wallet you top up |
The hourly figure is the plan's price divided by the live class hours it includes, when you use them all. Live class time is the tutor teaching you; other limits (study items, messages, uploads) are on the pricing page.
Questions people ask
Can an AI tutor teach calculus?
Yes. The tutor explains the idea, works examples with you on the whiteboard and reads your free-response answers as you write them.
Which calculus courses does Tutix cover?
AP Calculus AB and AP Calculus BC are ready-made, along with AP Precalculus as the course before them. For another calculus course, start a class from your own notes.
Should I take AB or BC?
BC covers everything in AB and adds parametric, polar and vector-valued functions and infinite series, so it moves faster. See the comparison for how to choose.
Is calculus too hard to learn from an AI tutor?
Calculus is learned by working problems and getting feedback on each step, which is what a live tutor gives. It will explain a step again, in different words, as many times as you ask.
Keep reading
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