Math 119 Interactive Lecture Notes

This page contains lecture notes for Math 119, organized by section.

Preliminaries

$\mathbb{R}$
1.1
$(ab)^n = a^nb^n$
1.2
$A^2 - B^2$
1.3
$\dfrac{1}{x+1} - \dfrac{1}{x}$
1.4
$f(x)$
2.1
\(f\circ g\)
2.7
\(f^{-1}(x)\)
2.8

Chapter 5: Trigonometric Functions - Unit Circle Approach

$\bigcirc$
5.1
$\sin(x)$
5.2
$a\sin(k(x-b))$
5.3
$a\tan(k(x-b))$
5.4
$\sin^{-1}(x)$
5.5
$a \sin \omega t$
5.6

Chapter 6: Trigonometric Functions: Right Triangle Approach

$s = r\theta$
6.1
$\vartriangle$
6.2

Chapter 7: Analytic Trigonometry

$\sin^2 t + \cos^2 t = 1$
7.1
$\sin(s + t)$
7.2
$\sin 2x = 2\sin x \cos x$
7.3
$2\sin\theta - 1 = 0$
7.4

Chapter 8: Polar Coordinates and Parametric Equations

$(r, \theta)$
8.1
$r = \cos \theta$
8.2
\begin{align} x &= \sqrt{t} \\ y &= t + 2 \end{align}
8.4

Chapter 11: Conic Sections

$x^2 = 4py$
11.1
$\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1$
11.2
$\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1$
11.3
$\dfrac{(x-h)^2}{a^2} - \dfrac{(y-k)^2}{b^2}$
11.4