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| QF Level: | 4 |
| Credit Points: | 3 |
| Year: | 1 |
| Pre-requisite: | Nil |
| Co-requisite: | 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 multiple-variable 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/ |