FC 22226 Differential Equations and Mathematical Methods
Course Outline
Course 
: FC22226 – Differential Equations and Mathematical Methods 
Core/Specialization 
: Core 
Programme 
: Bachelor of Sciences Honours in Surveying Sciences 
Department 
: Surveying & Geodesy 
Faculty 
: Faculty of Geomatics 
Contact Hours 
: 100 
Year 
: II 
Semester 
: II 
Prerequisites 
: FC11216, FC11221 
Lecturer 
: Dr T. D. A. Gomesz 
Room No. 
: SF14 
Telephone No. 
: 0453453071 

Synopsis
This course is:
 To provide an introduction in differential equation and their solutions
 To provide understanding of special Mathematical Methods that are use/apply in field of Geomatics
Contents
 Introduction and basic definitions
 Order & 1st Degree Differential Equations
 Linear Differential Equation
 Solutions of Partial Differential equation
 Numerical solution of ordinary differential equations(with MATLAB)
 Fourier series and Transformation
 Laplace transformation
Learning Outcomes
On completion of this course unit students should be able to:

Student Learning Time (SLT)
Teaching and Learning Activities 
Student Learning Time (hours) 
Directed Learning 

Lectures and StudentCentered Learning (SCL) 
30 
Independent Learning 

Home work assignments(HW) 
20 

15 

10 

13 
Assessment 

Assignments/ Lab Assignments 
10 
Final Examination 
02 
TOTAL (SLT) 
100 
Teaching Methodology 
Lectures, and individual and group assignments 
References
 Differential Equations  Schaum’s Series by Ayres F
 Thinking about ordinary Differential Equations by O’Malley R. E.
 Fourier series and Boundary Value Problems by Brown J.W. & Churchill R.V
 Technical Analysis and Applications with MATLAB, William D Stanley, Cengage Learning, 2004.
Grading
Continuous Assessments Tutorial Assignments 
10% 40% 
Final Examination (2hour) 
50% 
Total 
100% 