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.	: SF-14
Telephone No.	: 045-3453071
E-mail	: darshaka@sab.ac.lk

This course is to:

Provide an understanding of fundamental concepts of calculus and real analysis
Familiarize students with the concept of Mathematical Logic

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 anti-derivative (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

Teaching and Learning Activities	Student Learning Time (hours)
Directed Learning
Lectures and Student-Centered 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

Lectures, and individual and group assignments

· Calculus and Analytic Geometry by George B.T. & Finney R.L.

· Multivariable Calculus by Robert T Smith & Roland B Minton