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Numerical Computation
Here you'll be introduced to the bare basics of mathematics. Topics include commonly used words and phrases, symbols, and how to follow the order of operations.

Measurements
An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.

Trigonometry with Right Triangles
Here we focus on right angle triangles within quadrant I of an xy plane. None of the angles we evaluate here are greater than 90°. A unit on trigonometry with oblique triangles is covered later.

Trigonometry with Oblique Triangles
This unit is a continuation of trigonometry with right triangles except we'll extend our understanding to deal with angles *greater* than 90°. Resolving and combining vectors will be covered at the end of this unit.

Vector Analysis

Introduction to Algebra

Factoring

Solving Equations

Functions and Graphs

Geometry
This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.
 Identify, measure, and calculate different types of straight lines and angles
 Calculate the interior angles of polygons
 Solve problems involving a variety of different types of triangles
 Calculate the area of a variety of different types of quadrilaterals
 Solve problems involving circles
 Calculate the areas and volumes of different solids

Introduction to Statistics
Numerical Operations
A numerical operation can be described as an action or process used to solved a numerical problem.
Adding and Subtracting Signed Numbers
If you have two numbers x and y, the following rules apply when these numbers are being added or subtracted.
 Rule of Signs for Addition: (x – y) is the same as x + (–y) or x – (+y) because a negative beside a positive (or vice versa) always make a negative.
 Rule of Signs for Subtraction: x + y is the same as x – (–y) because two negatives sidebyside make a positive.
Here are a few examples:
$\overline{)1}7+2\phantom{\rule{0ex}{0ex}}\overline{)2}9\u20134\phantom{\rule{0ex}{0ex}}\overline{)3}\u20136+4\phantom{\rule{0ex}{0ex}}$For #1, the answer is clearly 9. But you could also have gotten 9 if you had: 7 – (–2) because of the rule of signs for subtraction.
For #2, the answer is 5. But you could also have gotten 5 if you had: 9 + (–4) or 9 – (+4) because of the rule of signs for addition.
For #3, the answer is –2.
A summary of these symbols is shown below:
$(+)(+)=(+)\phantom{\rule{0ex}{0ex}}()()=(+)\phantom{\rule{0ex}{0ex}}(+)()=()\phantom{\rule{0ex}{0ex}}()(+)=()\phantom{\rule{0ex}{0ex}}$More examples:
$\overline{)1}8\u2013(\u20136)\phantom{\rule{0ex}{0ex}}\overline{)2}\u20137\u2013(\u20135)\phantom{\rule{0ex}{0ex}}\overline{)3}\u2013(\u201316)\u20137\u2013(\u20139)\phantom{\rule{0ex}{0ex}}$Answers#1: 14
#2: –2
#3: 18
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Multiplying and Dividing Signed Numbers
 Rules of Signs for Multiplication:
 (+x)(+y) = (–x)(–y) = +xy
 (+x)(–y) = (–x)(+y) = –xy
 It’s also important to note that the same rules apply for division too.
Multiplication of two or more factors can be symbolized in 3 main ways:
$\overline{)1}x\times y\phantom{\rule{0ex}{0ex}}\overline{)2}x\xb7y\phantom{\rule{0ex}{0ex}}\overline{)3}\left(x\right)\left(y\right)=x\left(y\right)=\left(x\right)y\phantom{\rule{0ex}{0ex}}$For division:
$\overline{)1}x\xf7y\phantom{\rule{0ex}{0ex}}\overline{)2}\frac{x}{y}=\raisebox{1ex}{$x$}\!\left/ \!\raisebox{1ex}{$y$}\right.\phantom{\rule{0ex}{0ex}}$Here are a few examples:
$\overline{)1}\left(\u20132\right)\left(\u20133\right)=\overline{)6}\phantom{\rule{0ex}{0ex}}\overline{)2}2(\u20133)(\u20131)\left(2\right)=\overline{)12}\phantom{\rule{0ex}{0ex}}\overline{)3}\u2013\frac{4}{12}=\frac{\u20134}{12}=\frac{4}{\u201312}\Rightarrow \overline{)\u2013\frac{1}{3}}\phantom{\rule{0ex}{0ex}}\overline{)4}\frac{\u201315}{\u20133}=\overline{)5}\phantom{\rule{0ex}{0ex}}$