FC11221 Calculus
Course Outline
Course 
: FC11221 – Calculus 
Core/Specialization 
: Core 
Programme 
: Bachelor of Sciences Honour 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. 
: SF14 
Telephone No. 
: 0453453071 

Synopsis
This course is to:
 Provide an understanding of fundamental concepts of calculus and real analysis
 Familiarize students with the concept of Mathematical Logic
Contents
 Mathematical Logic
 Function
 Sequence and series
 Limits and Continuity
 Differentiation
 Functions of Several Variables
 Integration
Learning Outcomes
On completion of this course unit, the students should be able to:
No. 
Course Learning Outcome 
Programme Outcome 
Assessment Methods 
1. 
Use concepts of logic to analyze mathematical arguments and apply Boolean algebra in applications 
P01, P05 
Final Exam/CA 
2. 
understand and apply the concept of a function and its inverse in practical situations 
P01 
Final Exam/CA 
3. 
interpret the concept of a series as the sum of a sequence, and use the sequence of partial sums to determine convergence of a series 
P01 
Final Exam/CA 
4. 
understand and find limit, continuity and differentiation of functions 
P01 
Final Exam/CA 
5. 
use differential calculus to solve simple problems involving optimization and find the antiderivative (integral) of functions 
P01, P02 
Final Exam/CA 
6. 
find partial derivatives of several variable functions and use then in application 
P01 
Final Exam/CA 
7. 
recognize examples and applications in the field of Geomatics 
P02,P05 
Final Exam/CA 
Student Learning Times (SLT)
Teaching and Learning Activities 
Student Learning Time (hours) 
Directed Learning 

Lectures and StudentCentered Learning (SCL) 
28 
Independent Learning 

Home work assignments(HW) 
20 
Preparation SCL activities 
20 
Self Learning (Library and Internet) 
14 
Revision 
13 
Assessment 

Assignments 
03 
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.
· Multivariable Calculus by Robert T Smith & Roland B Minton
Grading
Continuous Assessments 

HW/Tutorial 
10% 
Assignments 
40% 
Final Examination 
50% 
Total 
100% 