Please enable JavaScript to view this page.

Applied Geometry and Trigonometry

MTH 103

Applied Geometry and Trigonometry

MTH 103

Course Description

Prerequisite: Math Level 4. Includes the following geometry topics: angles, triangles, polygons, circles, prisms, cylinders, and cones. Includes right-triangle trigonometry, radian measure, oblique-triangle trigonometry, and graphs of trigonometric functions. May receive credit in only one of the following: MTH 103 or SKMA 103 or MT 110. (60-0)

Outcomes and Objectives

Define and identify the characteristics of and solve problems related to plane figures (angles, parallel lines, triangles).

Objectives:

  • Define basic terminology of angles (acute, right, obtuse, straight, complementary and supplementary angles).
  • Measure angles with a protractor.
  • Define basic terminology of angles formed by parallel lines cut by a transversal (corresponding alternate interior and exterior angles.)
  • Define the characteristics of triangles and their properties (altitude, medians, vertex, and sides).
  • Express an understanding of and identify the characteristics of congruent and similar triangles.
  • Relate to the work place operations.

Define and identify the characteristics of and solve problems related to Polygons (triangles, squares, rhombus, rectangles, parallelograms, trapezoids and multi-sided polygons).

Objectives:

  • Use the proper formula for determining area of polygons (square measure).
  • Determine the measure of interior angles by using diagonals.
  • Relate to the work place operations.

Define and identify the characteristics of right, isosceles, equilateral and 30? - 60? - 90? triangles.

Objectives:

  • Know and apply the Pythagorean Formula in solving right triangle problems.
  • Solve problems involving similar triangles (tapers).

Define and identify the characteristics of a circle (chords, central angles, inscribed, segments and sectors).

Objectives:

  • Demonstrate the relationships between the diameter, radius, and circumference of a circle (? value).
  • Solve problems involving area of circles, sectors, and segments.
  • Determine arc lengths by using proportions.

Define and identify the characteristics of an eclipse (enter, major and minor axes).

Objectives:

  • Solve problems involving area and circumference of an eclipse.
  • Express uses of eclipses in everyday situations (orbits, racetracks, buildings, and cutting pipes).

Define and identify the characteristics of geometric solids (prisms, cylinders, pyramids, cones, frustrums, spheres, torus, prisimatoids).

Objectives:

  • Use proper formulas to determine surface area of all geometric solids.
  • Use proper formulas to determine volume of all geometric solids.
  • Figure a cost factor with respect to volume and materials (surface area) of various geometric solids (cylinders, cones, spheres, cubicle containers).
  • Relate to the work place operations.

Define and apply the six trigonometric ratios.

Objectives:

  • Express the relationship between the sides of a right triangle and the six trigonometric ratios.
  • Evaluate the six trigonometric ratios and their inverses with a calculator.
  • Apply the six trigonometric ratios to right triangle problems.
  • Relate to the work place operations.

Solve oblique triangles.

Objectives:

  • Solve oblique triangles using the Law of Sines.
  • Solve oblique triangles using the Law of Cosines.
  • Relate to the work place operations.