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