MTH 085 - Applied Geometry for Technicians

4 Credit(s)

MTH 085 Applied Geometry includes the following: linear, square, and cubic units, dimensional analysis in metric and US customary measures, problem solving, angle measure, properties of pairs of angles formed by system of parallel, perpendicular, and transversal lines; perimeter and area of polygons and circles; surface area and volume of solid figures such as prisms and pyramids; similarity, ratio, and proportion, right triangle trigonometry. Oblique triangle trigonometry is an optional topic. Some algebra topics from MTH 075 will be applied. The course will emphasize clear communication of mathematical results. Application problems are realistic with some data to be collected, analyzed, and discussed in group setting with results submitted in written form.

Prerequisite: MTH 075 completed with a grade of “C-” or better within the past two years or placement by the College’s Math Placement Process.
Learning Outcomes
Upon completion of this course the student should be able to:

Determine angle measurements in drawings involving triangles, parallel lines, and central angles
Use a protractor appropriately
Name basic shapes and describe their properties
Determine what folds up into a simple 3D shape
Apply properties of isosceles and equilateral triangles
Utilize the US Customary and metric system of units for length, area, and volume
Use the US Customary and metric system of units for temperature and weight
Apply unit analysis to measurements including square and cubic units
Use conversion charts to convert measurements
Apply densities to determine weight or volume
Calculate perimeters, areas, volumes, and surface areas of geometric shapes
Evaluate formulas related to geometric measure
Solve formulas and simple equations for given variables
Solve applied ratio and proportion problems
Apply properties of similar triangles to find lengths
Apply properties of right triangles and use the Pythagorean Theorem
Apply trigonometric ratios to determine angles and lengths in right triangles
Apply the Law of Sines and the Law of Cosines (Optional)
Solve application problems involving geometry and measurement appropriate to technical fields
Simplify elementary algebraic expressions
Solve elementary algebraic equations and formulas

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