Precalculus

Disclaimer: this material may not align with TA's cirriculum, as the notes are from the University of Vermont's precalculus course. Still, I thought I'd post them because why not. I mostly took these to learn LaTeX, so I've included the TeX files aswell.

July 5, 2024

Reference angles, signs of trigonometric functions (ASTC), intervals, special triangles, linear functions, symmetry in graphs, absolute value equations, end behaviors, and function transformations

PDF TeX

July 8, 2024

Graphing sinusoidal functions, the unit circle, domain and range of polynomial, rational, and root functions, and the limit definition of the derivative

PDF TeX

July 10, 2024

Rationalizing numerators and denominators, function operations (composition, sum, difference, product, quotient), and piecewise functions

PDF TeX

July 12, 2024

Inverse functions and factoring high-degree polynomials with the rational zero theorem and synthetic division

PDF TeX

July 15, 2024

Pythagorean identities, sum and difference identities, double angle identities, half angle identities, vertex of a quadratic, behavior of polynomial based on factor multiplicity

PDF TeX

July 17, 2024

Midterm review (no new material)

PDF TeX

July 22, 2024

Inverse trigonometric functions, polynomial long division, the remainder theroem, and Descarte's rule of signs

PDF TeX

July 24, 2024

Factors and multiplicity, included angle definition, law of cosines, law of sines, complex and imaginary numbers, and asymptotoes and x-intercepts of rational functions

PDF TeX

July 26, 2024

Compound interest and the natural base, logarithms and logarithmic functions, and fraction exponents

PDF TeX

July 29, 2024

Exponential growth and decay with the natural base

PDF TeX

August 2, 2024

Final review (no new material)

PDF TeX