Math 118 Interactive Lecture Notes

This page contains lecture notes for Math 118, organized by section.

Chapter 1: Fundamentals

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1.0

$\mathbb{R}$

1.1

$(ab)^n = a^nb^n$

1.2

$A^2 - B^2$

1.3

$\dfrac{1}{x+1} - \dfrac{1}{x}$

1.4

$x = \: ?$

1.5

$i = \sqrt{-1}$

1.6

$x \leq \: ?$

1.8

1.9

$\dfrac{y_2 - y_1}{x_2 - x_1}$

1.10

Chapter 2: Functions and Their Graphs

\(f(x)\)

2.1

2.2

2.3

$\dfrac{f(x + h) - f(x)}{h}$

2.4

2.6

\(f\circ g\)

2.7

\(f^{-1}(x)\)

2.8

Chapter 3: Polynomial and Rational Functions

\(a(x-h)^2 + k\)

3.1

\(P(x)\)

3.2

\begin{align}&P(x)\\&\ =\\(x\, - &\, c) \cdot Q(x)\end{align}

3.3

\(x^2 + 1\)

3.5

\(r(x) = \dfrac{P(x)}{Q(x)}\)

3.6

Chapter 4: Exponential and Logarithmic Functions

\(a^x\)

4.1

\(e^x\)

4.2

\(\log_a x\)

4.3

\(\log\left(\dfrac{x}{y}\right)\)

4.4

\(1 + 2^{3x} = 17\)

4.5