Page 277 - FINAL_HANDBOOK_20242025

Faculty of Science Handbook, Academic Session 2024/2025

Vector analysis: applications of vector multiplication; triple products;
differentiation and partial differentiation of vectors; integration of
vectors; scalar and vector fields; directional derivative; unit normal
vectors; gradient; divergence of a vector function; curl of a vector
function; Laplacian; vector operators in polar coordinates; line
integrals: scalars and vectors; Green’s Theorem in a plane;
divergence and divergence theorem; Curl and Stoke’s Theorem.
Tensors: coordinate-system transformation; basis vector
transformation; non-orthogonal coordinate systems; dual basis
vectors; finding covariant and contravariant components; index
notation; quantities that transform contravariantly and covariantly;
concepts of covariance and contravariance beyond vectors;
covariant, contravariant, and mixed tensors; tensor addition and
subtraction; tensor multiplication; metric tensor; general curvilinear
coordinates; index raising and lowering; tensor derivatives and
Christoffel symbols; covariant differentiation; vectors and one-forms;
tensor applications
Ordinary differential equations: separable equations; first-order linear
homogenous and non-homogeneous equations; second-order linear
homogeneous and nonhomogeneous equations.
Assessment Method:
Final Examination: 60%
Continuous Assessment: 40%

SIX1015 SCIENCE, TECHNOLOGY AND SOCIETY (2 CREDITS)
This course examines the interaction between science, technology
and society from various perspectives. It provides discussion on the
impacts of science and technology (S&T) progress on society, and
vice versa. The discussions comprise the various main aspects of
S&T Studies, namely scientific research and development,
sustainable development, ethics and values, history and philosophy,
economics, policy and management. Such combination encourages
communication of diverse diciplines and students will better
appreciate the complex ways in which science, technology and
society interact. Based on this understanding, students will debate on
the status, issues and challenges of selected S&T activities in the
local context.

Assessment Method:
Final Examination: 60%
Continuous Assessment: 40%

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