Precalculus, ready for calculus.

Strengthen functions and algebra now, so calculus has a solid place to land.

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Unit by unit

Lessons follow the student's course. This is the kind of material we work through.

Functions

Composition, inverses, transformations and piecewise functions

Polynomial and rational functions

Zeros, end behavior, asymptotes and sign analysis

Exponentials and logarithms

Models, log properties and equations with extraneous solutions

Trigonometry

Unit circle, graphs, inverse functions, identities and equations

Analytic trigonometry

Sum and difference formulas, double angles and applications

Sequences and series

Arithmetic, geometric and sigma notation

Vectors, polar and conics

Vector operations, polar coordinates and conic sections

Limits

Numerical and graphical limits as the bridge to calculus

Where students get stuck

The course moves too fast

We focus on the ideas that later units keep using.

Algebra gaps slow everything down

We repair what's blocking the current topic without restarting from zero.

Calculus is coming next

We prioritize the skills that matter most for derivatives and integrals.

Common questions

What's the most important part of precalculus for calculus?

Functions, algebra, trigonometry and logarithms. Weakness in any of them makes calculus much harder, even when the calculus idea is clear.

Why do I get extraneous solutions with logs?

Log rules can create answers outside the domain of the original equation. Always check each solution in the original equation.

Do I need to memorize the unit circle?

You need quick access to common values, but memorizing isn't the only route. We use special triangles and symmetry so you can rebuild it.

Can tutoring prepare me for calculus over the summer?

Yes. We can diagnose weak areas and build a short plan before the course starts.

Other subjects

Start with a free consultation.

Book 20 minutes and tell us what you want to work on.

Book a free consultation