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QF
Level: 
4

Credit
Points: 
3

Year: 
1 
Prerequisite: 
Nil 
Corequisite: 
Nil 
Module
Aim(s): 
The
module aims to equip students with a clear
understanding of the fundamental concepts,
skills, and techniques in basic calculus, to
provide them with the analytical tools to solve
engineering problems and as a foundation for
progression to higher level studies in
mathematics and science subjects.

Objectives: 
On
completion of this Module, students are expected
to be able to:
1. evaluate derivatives from definitions and by
using the rules of differentiation;
2. apply partial differentiation to determine
the gradient vector, and directional derivative
of a multiplevariable function;
3. use derivatives in general engineering
analysis, such as to establish linear
approximations and Taylor’s expansion near a
point, estimate changes, assist in curve
sketching and solve nonlinear equations and
optimization problems;
4. evaluate analytical solutions to indefinite
integrals and definite integrals, and numerical
solutions to definite integrals with the
associated error analysis;
5. apply integration to compute physical
quantities for engineering analysis, including
arc lengths, areas of bounded regions and
revolution surfaces and the volumes of solids;
and
6. derive and solve mathematical formulation of
common science and engineering problems.

Assessment
Methods: 
•
Coursework (50%)
• Examination (50%)

Course
Website: 
http://ibse.hk/SBS4111/ 
