## MTH 131 - Technical Mathematics at Piedmont Virginia Community College

### 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