Eat the Textbook: Calculus
Calculus is the study of change — but most courses never tell you that. This one starts with what calculus is actually doing, and builds up from there.
About this course
Calculus is secretly simple. It's the formalization of two ideas: how fast is something changing, and how much has it accumulated? Most calculus courses bury these ideas under notation and procedure.
This course keeps them front and center. Every technique is derived, not just shown. By the end, you'll be able to read and write calculus the way a mathematician does — because you'll understand what the symbols actually mean.
What you'll cover
- 1Limits and continuity — what calculus is actually doing
- 2Derivatives: the geometry and the machinery
- 3Integration: area, accumulation, and the fundamental theorem
- 4Series, sequences, and convergence
- 5Multivariable calculus and why it matters
Who this is for
Audience
Anyone who survived calculus but couldn't explain it
Prerequisites
Pre-calculus or strong algebra background.
Your instructor
Kevin Braza
PhD Candidate, UC Davis · CBRN AI Safety Scientist
Chemical engineering PhD candidate, Quantic MBA, former boarding school faculty, and CBRN AI safety scientist at Reinforce Labs. Previously UCSB B.S. Chemistry, Harvard/Amgen, and IB + AP classroom instructor. Teaches at the intersection of chemistry, AI, and systems thinking.
Frequently asked
Is this for AP Calculus prep?
It covers AP AB and BC content, but the framing is deeper than AP. AP students will be well-prepared. Non-AP students will still understand calculus.
Do you cover multivariable calc?
Yes — the final module introduces multivariable calculus with enough depth to make subsequent courses (physics, differential equations) make sense.
I took calculus years ago and forgot everything. Will this work?
Yes. A lot of students take this as a re-learn rather than a first-learn. The first-principles approach actually helps with re-learning — you're building new foundations, not trying to remember old ones.
$997
One-time · Lifetime access
Includes
- 5 video modules
- Problem sets and proofs walkthrough
- Lifetime access
- Certificate of completion