This course prepares cyber security students for a background in abstraction, notation and critical thinking for the mathematics most directly related to computer science. Topics covered include: logic, arguments, sets, functions, matrices, number theory, counting techniques, pigeonhole principle, permutations and combinations, relations, graphs, Euler paths, Hamiltonian paths, trees, spanning trees, Boolean algebra. Students will be able to discuss and apply the methods of discrete mathematics for various problems in computer science. Student will have the mathematical basis required in subsequent courses, such as design and analysis of algorithms, and modern cryptography.
Linear algebra is an indispensable course for any programmes in computing, mathematics, science, engineering, and business. It has wide applications in various disciplines. This course includes the study of systems of linear equations, matrices, determinants, vectors, vector spaces, linear transformations, inner products, eigenvalues, eigenvectors, symmetric matrices and quadratic forms. Students of this course will master properties of matrices and acquire the basic techniques of linear algebra which are useful for further study in various fields.
This course is to train students to gain proficiency in calculus computations. Topics covered include: functions, limits, continuity, derivative, mean value theorem for derivative, indefinite integral, definite integral, fundamental theorem of calculus, applications of derivatives, maximum and minimum, rate of change, mean value theorem for integrals, applications of integrals, area, volume, techniques of integration, improper integrals. Students will be able to handle calculus techniques required in relevant courses of specialization.
This course introduces students to the basic concepts and the methods of probability and statistics. It covers various topics on probability and statistics, including conditional probability, random variables and distributions, expectation, typical distributions, stochastic processes, estimation, testing hypotheses, categorical data and nonparametric methods, and linear statistical models. This course allows the students to solve the basic problems encountered in various fields and to acquire the mathematical knowledge and skills to follow more advanced course.
This course prepares cyber security students for a background in abstraction, notation and critical thinking for the mathematics most directly related to computer science. Topics covered include: logic, arguments, sets, functions, matrices, number theory, counting techniques, pigeonhole principle, permutations and combinations, relations, graphs, Euler paths, Hamiltonian paths, trees, spanning trees, Boolean algebra. Students will be able to discuss and apply the methods of discrete mathematics for various problems in computer science. Student will have the mathematical basis required in subsequent courses, such as design and analysis of algorithms, modern cryptography and so on.