FC12260 Vector Calculus and Spherical Trigonometry
Course Outline
Course |
: FC 12260 – Vector Calculus and Spherical Trigonometry |
Core/Specialization |
: Core |
Programme |
: Bachelor of Sciences Honours in Surveying Sciences |
Department |
: Surveying & Geodesy |
Faculty |
: Faculty of Geomatics |
Contact Hours |
: 100 |
Year |
: I |
Semester |
: I |
Prerequisites |
: FC11216, FC11221 |
Lecturer |
: Dr. T. D. A. Gomesz |
Room No. |
: SF - 14 |
Telephone No. |
: 045-3453071 |
|
Synopsis
This course is,
- To provide an understanding of fundamental concepts of vector algebra, vector calculus and differential geometry.
- To provide an understanding of fundamental concepts of Spherical trigonometry and its application in Geomatics.
Contents
- Spherical Geometry
- Spherical Trigonometry
- Vector Algebra
- Lines and Planes in 3D Space
- Deferential Geometry
- Vector integration
Learning Outcomes
By the end of the course, students should be able to: |
|||
No. |
Course Learning Outcome |
Programme Outcome |
Assessment Methods |
1. |
Manipulate with vector and their operations |
P01 |
FE/CA |
2. |
Identify the elementary properties of vectors in lines and planes and apply the techniques of vector analysis to problems involving three-dimensional geometry |
P01, P02 |
FE/CA |
3. |
Apply vector calculus and differential geometry theories in curves and surfaces |
P01 |
FE/CA |
4. |
Use techniques of the differential geometry to formulate and solve problems involving change and approximation |
P01, P02 |
FE/CA |
6. |
Solve the spherical triangle and apply approximations to problems in Geomatics |
P01, P02, P05 |
FE/CA |
Student Learning Time (SLT)
Teaching and Learning Activities |
Student Learning Time (hours) |
Directed Learning |
|
Lectures and Student-Centered Learning (SCL) |
30 |
Independent Learning |
|
|
20 |
|
20 |
|
10 |
|
13 |
Assessment |
|
|
05 |
|
02 |
TOTAL (SLT) |
100 |
Teaching Methodology
Lectures, and individual and group assignments |
References
- Spherical Trigonometry by Todhunter. I & Leathem JG
- Plane and Spherical Trigonometry by Kells L. M, Kern W.F & Bland J.R.
- Text Book on Spherical Astronomy by Smart WM
- Vector Analysis by Murray R Spiegel
- Linear Algebra, Geodesy, and GPS by StrangG & Borre K (New,526.1015125)
Grading
Continuous Assessments HW/Tutorial Assignments |
10% 40% |
Final Examination |
50% |
Total |
100% |