Technical Mathematics for Geomatics MATH 1511

Upon successful completion, the student will be able to:

• Use basic algebraic rules and operations.
• Rearrange formulae used in geomatics.
• Solve line intersection problems.
• Formulate and solve elementary geometric properties of circles.
• Solve right-angle triangles using trigonometry.
• Use right-angle trigonometry to solve applied surveying problems.
• Use radian measure in the solution of surveying problems involving circular arcs.
• Use the sine and cosine laws for solving oblique triangles.
• Apply the sine and cosine laws to elevation problems and traverses.
• Carry out the simplification of trigonometric expressions using trigonometric identities.
• Solve simple trigonometric equations.
• Demonstrate the use of statistical parameters in reducing surveying measurements.
• Apply area formulae to problems such as finding the area contained in a traverse and the area contained within a lot with an irregular boundary.
• Apply volume formulae to problems such as cut and fill.
• Solve right-angled spherical triangles.
• Solve oblique spherical triangles.
• Use spherical triangles for determining azimuth and bearing.
• Carry out matrix operations on a calculator.
• Use matrix operations to rotate, translate and scale coordinate systems such as is used in transforming from a ground based system to UTM coordinates.
• Solve problems in analytic geometry.
• Use analytic geometry in geomatics applications such as vertical curves.

Effective as of Fall 2003