## MTH 131 - Technical Mathematics

### Course Description

Effective: 2017-08-01

Presents algebra through unit conversion, trigonometry, vectors, geometry, and complex numbers. This course is intended for CTE programs.
Lecture 3 hours. Total 3 hours per week.
3 credits

### General Course Purpose

This course is intended for students entering degree programs in Engineering Design Technology (CAD), Electrical/Instrumentation/Electronics (EIE), Machine Technology or similar fields.

### Course Prerequisites/Corequisites

Prerequisites: Competency in MTE 1-6 as demonstrated through placement or unit completion or equivalent or Corequisite: MCR 3

### Course Objectives

• Communication
• Interpret and communicate quantitative information and mathematical and statistical concepts using language appropriate to the context and intended audience.
• Problem Solving
• Make sense of problems, develop strategies to find solutions, and persevere in solving them.
• Reasoning
• Reason and draw conclusions or make decisions with quantitative information.
• Evaluation
• Critique and evaluate quantitative arguments that utilize mathematical, statistical, and quantitative information.
• Technology
• Use appropriate technology in a given context.
• Students will engage in all course content described below in context to the technical fields being supported.
• Basic Skills
• Use a scientific calculator.
• Round-off numbers correctly.
• Identify significant digits.
• Use scientific and engineering notation
• Convert between units in both standard and metric
• Apply basic algebraic principles
• Geometry
• Apply and interpret line and angle relationships.
• Classify triangles by their sides/angles.
• Calculate the perimeter of a polygon
• Calculate the circumference and chord length on a circle
• Calculate the area of a polygon
• Calculate the area of a circle
• Apply concepts of sector and arc length of a circle
• Recognize various geometric solids such as cylinder, cone, pyramid, prism, sphere and conic sections.
• Calculate surface area and volume of various geometric solids
• Apply the concept of similar triangles
• Trigonometry
• Properly use terms related to an angle(s).
• Classify triangles by their sides/angles.
• Know/apply the radian as a measure of an angle, convert between degrees and radians
• Define the trigonometric functions and their values
• Solve right triangles and their applications
• Identify the signs of the trigonometric function of angles greater than 90?
• Determine trigonometric functions of any angle
• Vectors
• Describe vectors and their components.
• Solve applications involving vectors.
• Perform addition and scalar multiplication with vectors
• Complex Numbers
• Interpret complex numbers and perform basic operations
• Convert between forms of rectangular, and polar complex numbers
• Perform basic operations with polar complex numbers

### Major Topics to be Included

• Basic Skills
• Geometry
• Trigonometry
• Vectors
• Complex Numbers

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