You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
- Trigonometric equations and identities
- Conic sections
- Imaginary and complex numbers
- Parametric equations and polar coordinates
- Probability and combinatorics
- Sequences, series and induction
- Partial fraction expansion
1. Trigonometric equations and identities
Learn how to solve trigonometric equations and how to use trigonometric identities to solve various problems.
2. Conic sections
Learn what matrices are and about their various uses: solving systems of equations, transforming shapes and vectors, and representing real-world situations. Learn how to add, subtract, and multiply matrices, and find the inverses of matrices.
5. Imaginary and complex numbers
6. Parametric equations and polar coordinates
7. Probability and combinatorics
9. Partial fraction expansion
Learn how to rewrite a complex rational expression as the sum of more simple expressions.