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

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 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

Student Learning Times (SLT)

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

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