Course content

Spherical Trigonometry

Code:

130540

Abbreviation:

B12B03

Higher education institution:

Faculty of Geodesy

ECTS credits:

3.0

Load:

7(E) + 15(L) + 8(E)

Issuing teachers:

Senior Lecturer Nikol Radović, MSc

Course contractors:

Senior Lecturer Nikol Radović, MSc (E, L, E)

Course description:

The goal of course Spherical trigonometry is the renewal and replenishment secondary knowledge of trigonometry plane on the theoretical and practical knowledge of trigonometry spheres with particular emphasis on applications in geodesy and geoinformatics Learning outcomes at the level of the programme to which the course contributes <ul><li>To know theoretical principals, procedures of computer processing and visualisation of surveying data. <li>To understand the mathematical methods and physical laws applied in geodesy and geoinformatics. <li>To apply the knowledge in mathematics and physics for the purpose of recognizing, formulating and solving problems in the field of geodesy and geoinformatics <li>To plan the continuation of academic education in the field of geodesy and geoinformatics, or related disciplines, and to develop the lifelong learning attitude.</ul> Learning outcomes expected at the level of the course <ul><li>Define and distinguish spherical triangles <li>Solve the spherical triangle using the cosine rule for pages / corners and <li>Solve rectangular and quadrant spherical triangle <li>Apply Legend theorem for solving spherical triangles</ul> Course content broken down in detail by weekly class schedule (syllabus) <ul><li>Sphere (sphere), main circle. spherical distance <li>Spherical Triangle <li>Spherical triangle inequality. Spherical excesses <li>Gender. Spherical polar triangle. <li>The basic relationships between the spherical triangle. <li>Cosine rule (for pages, angles) spherical triangle. <li>Sine theorem. <li>1 and 2 theorem of cotangent <li>Napier's rule <li>Troubleshooting spherical triangle with applications in geodesy and geoinformatics <li>Rectangular spherical triangle. Euler's theorem, <li>Resolving rectangular spherical triangle. <li>The difference between flat and spherical trigonometry. <li>Geographic (astronomical) coordinates. Spherical distance between two points on the earth (sphere) <li>Application of spherical trigonometry in geosciences</ul> Screening student work <ul><li>Class attendance - 0.3 ECTS <li>homework - 0.4 ECTS <li>Seminar essay - 1 ECTS <li>Tests - 0.7 ECTS <li>Oral exam - 0.3 ECTS <li>Written exam - 0.3 ECTS</ul>

Mandatory literature:

1. J. Casey: A Treatise on Spherical Trigonometry and Its Applications to Geodesy and Astronomy, Merchant Books, 2007.

Recommended literature:

2. B. Pavković, D. Veljan: Elementarna matematika II, Školska knjiga, Zagreb, 1995.

Course in study programme:

Code	Name of study	Level of study	Semester	Required/Elective
71	Geodesy and Geoinformatics	undergraduate	2	elective

* the course is not taught in that semester

Legend

E - Seminar

L - Lectures