1
Title (Units): COMP2027 Applied Linear Algebra for Computing (3,2,1)
Course Aims:
This subject studies various linear algebra topics such as vectors, matrices, linear
equations, eigenvalues, eigenvectors, matrix factorizations, singular value
decomposition, optimization problems, curve fitting, and software packages for
these problems. Emphasis is given to understanding the nature of these problems,
and using mathematical tools to solve the problems. Applications of these
problems in computer science fields such as machine learning, data analytics,
computer graphics, and pattern recognition will be introduced.
Prerequisite: MATH1025 Introduction to Mathematics and Statistics or
MATH2005 Calculus, Probability and Statistics for Computer Science
Course Intended Learning Outcomes (CILOs):
Upon successful completion of this course, students should be able to:
No.
Course Intended Learning Outcomes (CILOs)
Knowledge
1
Solve linear algebra problems of vectors and matrices
2
Understand matrix factorization problems such as singular value decomposition
3
Fit curves on a data set
4
Understand different classes of optimization problems
Professional Skill
5
Write programs using a scripting language such as Matlab
6
Use mathematical software to solve linear algebra problems
Calendar Description:
This subject studies various linear algebra topics such as vectors, matrices, linear
equations, eigenvalues, eigenvectors, matrix factorizations, singular value
decomposition, optimization problems, curve fitting, and software packages for
these problems. Emphasis is given to understanding the nature of these problems,
and using mathematical tools to solve the problems. Applications of these
problems in computer science fields such as machine learning, data analytics,
computer graphics, and pattern recognition will be introduced.
Teaching and Learning Activities (TLAs):
CILOs
Type of TLA
1-6
Students will learn concepts and skills in vectors, matrices, linear equations, eigenvalues,
eigenvectors, matrix factorizations, singular value decomposition, optimization problems,
curve fitting, and software packages in lectures and tutorials.
1-6
Students will work on assignments, programming problems, written and/or practical tests,
and examination to enhance their understanding of linear algebra.
Assessment:
No.
Assessment
Methods
Weighting
CILOs to be
addressed
Description of Assessment Tasks
1
Continuous
Assessment
40%
1-6
Continuous assessments are designed to measure
how well students have learned the basic concepts
and skills of linear algebra. Written and/or practical
tests, written assignments, and programming
problems will be given to access CILOs 1-6.
2
Examination
60%
1-6
Final examination questions are designed to
evaluate how far students have achieved their
intended learning outcomes. Questions will
primarily be analysis and skills based to assess the
student’s ability in the understanding and
application of linear algebra.
