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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

E-mail

darshaka@geo.sab.ac.lk

 

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

  1. Home work assignments (HW)

20

  1. Preparation- SCL activities

20

  1. Self Learning (Library and Internet)

10

  1. Revision

13

Assessment

  1. Assignments

05

  1. Final Examination

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%