ATAM 2170 - Mathematics-Compound Angles

Credit Hours: 2.00

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

1. Using Type I triangular pyramid with 4 faces having right triangles, solve for geometric angles and lengths of the triangle sides.
2. Using Type II triangular pyramid with 3 faces having right triangles and one oblique triangle, solve for geometric angles and lengths of the triangle sides.
3. Using Type I and Type II triangular pyramids, solve applied mechanical problems for lengths of triangle sides and geometric angles enabling tilt and rotation of prisms.

Outcome 2: Upon completion of this course, the learner will be able to describe Type III and Type IV triangular pyramids for geometric problem solutions.

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

1. Using Type III pyramids with 4 faces having right triangles and one face a rectangle, solve for geometric angles and lengths of the triangle sides.
2. Using Type IV pyramids with 2 faces having right triangles and 2 faces having obtuse oblique triangles solve for geometric angles and length of the triangular sides.
3. Using Type III and Type IV triangular pyramids, solve applied mechanical problems for length of the triangle sides and geometric angles for tilt and rotation of prisms.

Outcome 3: Upon completion of this course, the learner will be able to describe Type V triangular pyramids for geometric solutions, component setup, fabrication and measurement.

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

1. Using Type V triangular pyramids with 2 faces having right triangles and 2 faces having acute oblique triangles, solve for geometric angles and lengths of the triangular sides.
2. Using the five types of triangular pyramids, solve applied mechanical problems for the angles of prism rotation and one angle of prism tilt in component setup, fabrication and measurement.
3. Using the five types of triangular pyramids, solve applied mechanical problems for the angles of prism rotation and two angles of prism tilt in component setup, fabrication and measurement..

• Communication: The graduate can communicate effectively for the intended purpose and audience.
• Critical Thinking: The graduate can make informed decisions after analyzing information or evidence related to the issue.
• Global Literacy: The graduate can analyze human behavior or experiences through cultural, social, political, or economic perspectives.
• Information Literacy: The graduate can responsibly use information gathered from a variety of formats in order to complete a task.
• Quantitative Reasoning: The graduate can apply quantitative methods or evidence to solve problems or make judgments.
• Scientific Literacy: The graduate can produce or interpret scientific information presented in a variety of formats.

1. Introduction, orientation & pre-test.
2. Type I - a triangular pyramid, four faces, of which all are right triangles.
3. Type II - a triangular pyramid, three faces, of which are right triangles and the fourth is an oblique triangle.
4. Type III - a triangular pyramid having five faces, four of which are right triangles, and the fifth is a rectangle
5. Test 1
6. Type IV - a triangular pyramid, two faces are right triangles and two faces are obtuse oblique triangles.
7. Type V - a triangular pyramid, two faces are right triangles and two faces are acute oblique triangles.
8. Test 2
9. Angle of rotation and angle of tilt applied applications.
10. Angle of rotation and angle of tilt applied applications.
11. Test 3
12. Angle of rotation and angle of tilt applied applications.
13. Angle of rotation and angle of tilt applied applications.
14. Test 4
15. Angle of rotation and angle of tilt applied applications.
16. Final examination.