- 0 lessons
- 0 quizzes
- 10 week duration
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.
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 x-y 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.
Introduction to Algebra
Functions and Graphs
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
If you’ve ever tried multiplying numbers in the millions and billions on your calculator, you’ve either gotten an error or some number that looks like this:
Notice how this calculator condenses the large output with E17. The E17 is the calculators way of writing:
On paper, we can also condense very large or tiny outputs using scientific notation. Examples of numbers written in scientific notation look like the following:
Notice how all of them have the same pattern: a number followed by a decimal and more numbers times 10 to the power of a positive or negative integer. The steps to converting any ordinary number to this notation is outlined below:
To convert a decimal number to scientific notation:
- Rewrite the given number with a single digit to the left of the decimal point, discarding any non-significant zeros.
273 → 2.73
2. Then multiply this number by the power of 10 that will make it equal to the original number.
2.73 × 100 → 2.73 × 10²
- Notice how the power of 2 corresponds to the number zeros in 100.
The first video provides a quick tutorial of what’s stated above, including some examples where the number is negative, between -1 and 1, and numbers greater than 1.
- If you’d like more examples, watch part 2 here.
There will also be times when you’ll be expected to go from scientific notation to standard, decimal notation. Let’s make sure we know how that’s done too. Here are few examples to follow along to: