Advanced Mathematics Modules
There are a total of three Advanced Mathematics modules, which must be taken sequentially as shown in the table below. Students will complete one module per semester. Assessment for the modules consists of quizzes, a midsemester test and a formal examination at the end of each semester.
Module Code 
Module Name 
Total Hours 
MS801M 
Advanced Mathematics 1
This module aims to provide polytechnic graduates with sound foundation in calculus essential for studies in engineering courses at university level. Topics include mathematical induction, functions and their graphs, limits and continuity of functions, differentiation, integration and its geometrical applications, polar coordinates and parametric equations, indeterminate forms, improper integrals and complex numbers.

60 
MS802M 
Advanced Mathematics 2
This module aims to provide polytechnic graduates with further knowledge in calculus and linear algebra essential for studies in engineering courses at university level. Topics in the module include multiple integrals, partial derivatives and their geometric significance and applications, sequences, infinite series and power series, matrices, determinants, systems of linear equations, eigenvalues and eigenvectors.

60 
MS803M 
Advanced Mathematics 3
This module aims to equip polytechnic graduates with a basic knowledge of vectors and differential equations considered essential for studies in engineering courses at university level. Topics include operations on vectors, lines and planes in space and vectorvalued functions, ordinary differential equations (1st order & 2nd order), Laplace transforms & its applications in initial value problems, and Fourier series.

60 
Further Mathematics
Assessment for the module consists of quizzes, a midsemester test and a formal examination at the end of the semester.
Module Code 
Module Name 
Total Hours 
MS837M 
Further Mathematics
This module aims to provide students with essential mathematical knowledge for further studies in universities. Topics covered include mathematical induction, functions, quadratic and cubic equations, inequalities, sequences and series, complex numbers, methods of integration, parametric equations and the applications of differentiation and integration.

60 
Physics
Assessment for the module consists of assignments, a midsemester test and a formal examination at the end of the semester.
Module Code 
Module Name 
Total Hours 
MS864M 
Physics
This module provides the students with a good foundation in physics which is essential for pursuing degree courses in the universities. Topics covered include physical quantities and units, kinematics, dynamics, oscillations, waves, electricity, magnetism and electromagnetism. The extensive use of vectors and calculus in developing concepts allows the students to see how mathematics is used as a concise language of Physics.

60 
Note: A student who fails either a diploma module or an advanced module will not be allowed to take any advanced modules in his/her subsequent semesters in SP.