Higher Mathematics Modules
There are a total of three Higher 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 
MS861M 
Higher Mathematics 1
This module aims to provide polytechnic graduates with sound foundation in calculus essential for studies in courses at university level. Topics include precalculus (inequalities, polynomial equations, functions and graphs), differential calculus (limit & continuity, derivatives of functions) and application of differential calculus (graphrelated problems, related rates of change).

60 
MS862M 
Higher Mathematics 2
This module aims to provide polytechnic graduates with further knowledge in calculus. Topics include limits & continuity (further methods), integral calculus (techniques of integration), solving geometrical problems (area under a curve, volumes of 3dimensional solids), numerical integration (trapezoidal and Simpsonâ€™s rule), first order ordinary differential equations (direct integration and integrating factors).

60 
MS863M 
Higher Mathematics 3
This module aims to equip polytechnic graduates with essential mathematical knowledge for further studies at degree level in a university. In particular, it aims to prepare students for the NUS Proficiency Test (MA1301). It is also designed to bridge some of the gaps between the calculus at the polytechnic diploma level and the calculus at the first year university level. Topics include principle of mathematical induction, absolute value functions, improper integrals, sequences and series, complex numbers, parametric equations and polar coordinates in analytic geometry, vectors in R2 and R3 and solution of system of linear equations.

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 
Bridging Mathematics
Assessment for the module consists of a midsemester test and a formal examination at the end of the semester.
Module Code 
Module Name 
Total Hours 
MS001Q 
Bridging Mathematics
This module aims to provide the students with a good foundation in mathematics which is essential for pursuing Higher Mathematics and Further Mathematics modules. Topics covered include real number systems, laws of indices, algebraic fractions, quadratic equations, systems of equations, functions and graphs, exponential, logarithmic & trigonometric functions, differentiation & integration of simple algebraic functions.

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.