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FC11216 Analytic Geometry and Linear Algebra

Course Outline

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

: A/L Combined Mathematics

Lecturer

: Mr. T. D. A. Gomesz

Room No.

: SF - 14

Telephone No.

: 045-3453071

E-mail

:darshaka@geo.sab.ac.lk

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Synopsis

The course is to:

  • Provide an understanding of fundamental concepts of plane and analytic geometry
  • Familiarize students with the concept of linear algebra and its algebraic properties and the manipulative techniques necessary to use matrices in solving problems in Geomatics

 

Contents

Co-ordinates Geometry, Analytic Geometry, Matrices Algebra, System of Linear Equations, Eigen values vectors, Linear Transformations 

 

 

Learning Outcomes

On completion of this course unit students should be able to :

No.

Course Learning Outcome

Programme Outcome

Assessment Methods

1.

manipulate with the different types of coordinates and their properties and state and apply the properties of conic sections

P01

Final Exam/CA

2.

manipulate with matrix and their operations

P01,P02

Final Exam/CA

3.

solve a system of n equations and m variables

P01

Final Exam/CA

4.

find eigenvalues and eigenvectors, and diagonalize quadratic forms

P01,P02

Final Exam/CA

5.

apply transformations and rotation matrices between reference frames for moving vectors

P01,P02

Final Exam/CA

6.

recognize examples and applications in the field of Geomatics

P02,P05

Final Exam/CA

 

Student Learning Time (SLT)

Teaching and Learning Activities

Student Learning Time (hours)

Directed Learning

Lectures and  Student-Centered Learning (SCL)

25

Independent Learning

Home work assignments(HW)

25

Preparation- SCL activities

20

Self Learning (Library and Internet)

10

Revision

13

 Assessment

Assignments

05

Final Examination

02

TOTAL (SLT)

100

 

Teaching Methodology

Lectures, and individual and group assignments

 

References

  • Calculus and Analytic Geometry by George B.T. & Finney R.L.        
  • Linear Algebra and its Applications by Lay DC
  • Linear Algebra, Geodesy, and GPS by Strang G &Borre K (New,526.1015125)

 

Grading

Continuous Assessments

HW/Tutorial  

Assignments    

 

10%

40%

Final Examination

50%

Total

100%