A calculus workbook · by Ryan Ross
Functions, algebra, and trigonometry, practiced until you can do them without thinking. That is most of the work in any calculus problem, and it is where most points are lost.
Get the full workbook Read the free previewThe secret nobody tells you
Every calculus professor knows a secret they rarely say out loud: students do not fail calculus on the calculus. They fail on rusty algebra and half-remembered trig.
In a typical problem, about 90% of the work is algebra and only one step is the genuinely new idea. Miss the algebra and you lose the mark on a line that has nothing to do with calculus.
How it works
Every topic opens with an intuition: a graph, a shape, an analogy.
You cannot learn this by watching. Every lesson ends in problems you solve yourself.
Every answer leads with the result, then explains it. Study only what you missed.
Inside the book
Real pages
Four pages, exactly as they print: the picture, the explanation, the ruled space you work in, and the answers. Click any one to read it full size.
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Questions
No. The algebra does not stop mattering after week one, it is what every homework set leans on. Work the Toolkit lessons alongside your course and use the checkpoints to find what is actually costing you marks.
No. Every problem has ruled space so it works on paper, and the whole thing is built to be filled in on a tablet. Answers are repeated at the end of each lesson, so nothing depends on tapping anything.
Khan is a library. This is a sequence. Thirty-three lessons in a deliberate order, each ending in problems you work yourself, with a diagnostic at the start and the same problems again at the end so you can measure the gap. Several lessons point you at Khan for extra volume once you understand the idea.
One PDF. 185 pages, 39 lessons, three mixed checkpoints and a readiness final. One payment, yours to keep, no subscription and no account to make.
A textbook is written to cover a subject. This is written to get you through one course. It is 185 pages instead of 900, the lessons come in a fixed order rather than as a reference you dip into, and there is a diagnostic at the start and a finish line at the end so you can see the distance you moved. Nothing is in here because a syllabus demanded it. Every page earned its place by being something that actually costs people marks.
Full refund within 14 days, no questions asked. Email ryanross949@gmail.com and I will sort it out.
About
I am a college student majoring in computer engineering. I built this workbook for myself after finding out where Calculus I actually goes wrong. It is not the calculus. It is the algebra and trigonometry underneath it. I designed the sequence, wrote the diagnostic, solved every problem myself, and rewrote the lessons that did not work. I am not a professor, and that is the point. I sat exactly where you are, and this is the preparation I wish someone had handed me.