# Mathematics for Technology I (Math 1131)

Durham College, Mathematics
Free
• 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 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.

• ##### Geometry

This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.

## Mathematics for Technology I (Math 1131)

### Sum or Difference of Cubes

Generally, the higher the degree of a polynomial, the harder it becomes to factor. The highest degree you’re expected to factor in this course are cubic equation (those raised to the power of three). Specifically, we’ll look at examples similar in structure to quadratics that are a difference of square, called a difference or sum of cubes. Their general format is displayed below:

Sum of cubes:

${a}^{3}+{b}^{3}=\left(a+b\right)\left({a}^{2}–ab+{b}^{2}\right)\phantom{\rule{0ex}{0ex}}$

Difference of cubes:

${a}^{3}–{b}^{3}=\left(a–b\right)\left({a}^{2}+ab+{b}^{2}\right)\phantom{\rule{0ex}{0ex}}$

The video below will outline how these expressions are factored: