 55 lessons
 1 quizzes
 10 week duration

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
Rules of Significant Figures
Now that we’ve covered scientific, engineering, and decimal notation, it’s time to learn the rules of significant figures (abbreviated SF, and also referred to as significant digits). Without knowing these rules, you will NOT be able to add, subtract, multiply, or divide any number correctly moving forward. The first video will walk you through how to count for the correct number of significant digits in any type of number:
Next, you’ll need to know the rules for rounding numbers to the correct number of significant figures. Rounding and significant figures go handinhand in almost every calculation. When you’re asked to calculate something to the correct number of SF’s, it implies that you round as well. Also, don’t assume you know the rules, because what you learned in elementary school no longer applies here the same way, especially when your last significant figure is a 5.
Now that you now the rules of counting and rounding SF’s, let’s trying adding, subtracting, multiplying, or dividing numbers.
Part 2 of this series shows more of the same, except we extend our understanding to numbers of greater complexity, such as the operations applied to scientific notation numbers.
A few things to keep in mind when operating with numbers in scientific notation are summarized underneath. Of course, most scientific calculators – namely the one recommended for this course – enables you to find the answer without the recommendations below.
Tips for Adding and Subtracting Scientific Numbers
If two or more numbers to be added or subtracted have the same power of 10, we combine the numbers and keep the same power of 10. For example:
$\left(5.822\times {10}^{3}\right)+\left(5.000\times {10}^{3}\right)=\mathbf{0}\mathbf{.}\mathbf{822}\mathbf{\times}{\mathbf{10}}^{\mathbf{3}}\phantom{\rule{0ex}{0ex}}\mathbf{In}\mathbf{}\mathbf{scientific}\mathbf{}\mathbf{notation}\mathbf{:}\mathbf{}8.22\times {10}^{2}(3\mathrm{SF})\phantom{\rule{0ex}{0ex}}\mathbf{In}\mathbf{}\mathbf{engineering}\mathbf{}\mathbf{notation}\mathbf{:}\mathbf{}822\times {10}^{0}(3\mathrm{SF})\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$
If the powers of 10 are different, they must be made equal before the numbers can be combined.
 A shift of the decimal point of one place to the left will increase the exponent by 1.
 A shift of the decimal point of one place to the right will decrease the exponent by 1.
For example:
$\left(1.5\times {10}^{4}\right)+\left(3\times {10}^{3}\right)\Rightarrow \left(15\times {10}^{3}\right)+\left(3\times {10}^{3}\right)=\mathbf{18}\mathbf{\times}{\mathbf{10}}^{\mathbf{3}}\phantom{\rule{0ex}{0ex}}\mathbf{In}\mathbf{}\mathbf{scientific}\mathbf{}\mathbf{notation}\mathbf{:}\mathbf{}1.8\times {10}^{4}(2\mathrm{SF})\phantom{\rule{0ex}{0ex}}\mathbf{In}\mathbf{}\mathbf{engineering}\mathbf{}\mathbf{notation}\mathbf{:}\mathbf{}18\times {10}^{3}(3\mathrm{SF})\phantom{\rule{0ex}{0ex}}$