# Applied Math for Green Technologies

## Course Description

This course applies math concepts directly to real life problems encountered in green technologies. Range of problems may include energy, business, construction, materials, measurement, and environmental issues relating to green technologies. Mathematical topics include measurement and conversions, signed numbers, algebraic operations, equations and formulas, ratio and proportion, perimeters, areas, volumes, right triangles, graphing linear equations, and basic statistics. Learners will also develop, articulate and document their own problem solving strategies. Prerequisites: GT 101, MTH 20.

## Intended Outcomes

Upon successful completion of the course the student will be able to:

1. Recognize, interpret, formulate and apply real world math situations to their technical field.
2. Use mathematical problem solving techniques involving linear equations and formulas.
3. Use appropriate technology to solve mathematical problems and to judge the reasonableness of results.
4. Be able to use elementary algebra and geometry concepts in applied problems.
5. Be able to analyze and interpret data using a variety of graphs and basic statistics.

## Outcome Assessment Strategies

1. Intelitek on-line activities including end of section tests and final evaluation.
2. Quizzes and examinations.
3. At least 1 project in which real world sustainability scenarios, requiring mathematical solutions, must be successfully analyzed and solved by the individual learner. Solution path must be clearly documented.
5. Participation in at least 2 online discussions.

## Course Content (Themes, Concepts, Issues and Skills)

• Green problem-solving concepts:
• Collecting and analyzing data to determine known and unknowns when evaluating energy production, consumption, efficiencies, and environmental impacts.
• Demonstrating ability to develop a verbal model of a problem to aid in developing equation(s) to solve energy problems and conduct cost/benefit estimations.
• Using formulas to solve for unknowns when evaluating energy alternatives.
• Mathematical concepts:
• Review of operations with whole numbers, fractions, decimal fractions, and percent.
• Signed numbers and powers of 10.
• Conversions (U.S. and Metric System).
• Measurement.
• Fundamental algebraic operations.
• Solving linear equations (in one variable) and using formulas.
• Ratio and proportion.
• Linear equations in two variables: reading graphs, interpreting graphs, and graphing.
• Geometry: Rectangles, Triangles, Quadrilaterals, Polygons, and Circles.
• Right triangle analysis.
• Basic statistics.
• Documentation of mathematical solution neatly and concisely.
• Using a scientific calculator.
• Judge the reasonableness of results.