Turn Any Topic into an Interactive, Editable course.
Generate lessons, visuals (AI or Desmos), and quizzes from a prompt—then edit everything like your own study guide. No more endless chats.
Theoria: Calculus II — Series & Taylor Approximations
Course Outline
Fast Foundations
A power series behaves like a “polynomial with infinitely many terms.” Your job is to decide when it converges and what it converges to. Highlight this to get a quicker intuition + test flowchart for exam prep.
Example warm-up: Does the harmonic series converge or diverge? Generate a step-by-step explanation?
Note: Small habits (like rewriting series into a standard form) save massive time on midterms.
How to Use Theoria
Watch this quick tutorial to see how to create, edit, and interact with your courses.
Students use Theoria to survive finals
Real outcomes from real study sessions.
Calculus II
“Finally clicked” moment
“I always used chatgpt to solve homework problems I didn't understand, but never learned the content. Theoria allowed me to make a course with better explanations that I could customize until I understood everything. It’s like having a tutor that rewrites explanations exactly the way I need.”
— STEM student
Physics I
Faster practice loops
“Instead of hunting YouTube for ‘that one example,’ I generate a set of problems that match my homework style, with clean step-by-steps. This extra practice allowed me to do exponentially better on my finals. ”
— Engineering major
CS / Algorithms
Study guide in one place
“I turned my algorithms class into a course, add pages every lecture focusing on the things I struggle with, and generate more quizzes until I stop missing the same patterns. Huge time saver.”
— CS student
Built for Optimal Learning
From lecture notes → to practice → to mastery, in one editable place.
Highlight → Refine instantly
Highlight any line in a lesson and re-run the AI with a precise prompt: “show the proof,” “add intuition,” “make more examples,” or “simplify.”
Practice that adapts
Quizzes evolve with you. Too easy? Generate harder ones. Missed a concept? Generate targeted practice with explanations and step-by-step solutions.
Visualize hard ideas
Insert Graphs (built in with Desmos) and ai-generate visuals based on lesson content.
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