Mathematics for Technology II (Math 2131) Durham College, Mathematics
Free • 36 lessons
• 0 quizzes
• 14 week duration
• Solving Systems of Equations

This unit introduces how to systematically solve a system of equations, namely linear equations. Examples of non-linear systems, including systems of 3 unknowns will be of emphasis.

• Graphs of Trigonometric Functions

The unit focuses primarily on how to graph periodic sinusoidal functions, and how to identify features of a waveform to produce an equation by inspection.

• Polar Coordinate Functions

An introduction to the polar coordinate system.

• Exponents and Radicals

This unit is an extension of what was introduced in Math 1131. To learn how to work with radicals, knowing your exponent laws in crucial. Hence, this unit begins with a thorough review.

• Logarithmic Functions

This chapter introduces you to exponential functions, and how they can be solved using logarithms.

• Trigonometric Identities and Equations
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• Analytic Geometry
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Mathematics for Technology II (Math 2131)

Solving Equations with Radicals

A radical equation is one in which the unknown is under the radical sign (example shown below):

$\sqrt{x+1}=2\phantom{\rule{0ex}{0ex}}$

When it comes to solving radical equations, oftentimes teacher will except that you state the domain (or the restrictions). The reason it’s expected because it shows your understanding of the purpose behind solving any equation, that is, when the graph representing the equation crosses the horizontal axis. Sometimes, you may end up getting an answer that doesn’t accurate represent when the graph passes the horizontal axis because it’s outside the domain. Therefore, by stating the restrictions, you know what your boundaries are.