🪜 Pre-Calculus Without the Misery

🪜 Pre-Calculus Without the Misery

Open a pre-calculus textbook and it looks like a junk drawer: polynomials, fractions with x on the bottom, angles, triangles, and lists of numbers that add up forever. Nobody tells you why they share a book. This one does. It shows how the pieces fit together, and how they lead straight into calculus.

WHAT'S INSIDE:

🧰 The toolkit — a handful of basic shapes, and the three moves that turn them into thousands more

👑 Polynomials — why the leading term decides what happens far away

🚧 Rational functions — asymptotes, and what a graph does where you'd divide by zero

⭕ The unit circle and radians — why mathematicians measure angles by distance, not degrees

🌊 Trig functions as waves — why the tide and the length of the day follow the same curve

🔑 The trig identities that actually matter — you need about four, and the first comes free from the unit circle

🎾 Sequences and series — lists that add up, and why a ball that bounces forever still travels a finite distance

🔭 A first taste of limits — where a function is heading when you can't just plug in

⚠️ A "5 Common Mistakes" chapter — including using degrees when the formula wants radians

🧮 A Formulas & Quick Reference appendix, with a worked example

✏️ 10 fully worked examples with every step shown

✅ 11 practice problems with complete answers at the back

WHO THIS IS FOR:

Anyone who survived pre-calculus as a pile of unrelated chapters. Anyone about to start calculus who wants the groundwork in one place.

No prior knowledge of pre-calculus required. 20 pages.