JC Maths
321 videos • 195 views • by Gresty Academy JC Maths (syllabus number 9758) is administered by the Singapore Examinations and Assessment Board and is designed to prepare students for science based university courses. It covers the following topics: Functions: including sub-fields like composite functions, inverse functions, conditions for their existence, domain restrictions Graphs and transformations: the use of graphic calculation to map out a given graph function, important characteristics of graphs, simple parametric equations and their graphs. Vectors: basic properties of vectors in two and three dimensions, scalar and vector products in vectors, three-dimensional vector geometry Calculus: differentiation, Maclaurin series, integration techniques, definite integrals, differential equations Complex numbers: complex numbers expressed in Cartesian form, complex numbers expressed in polar form Sequences and series: concepts of sequence and series for finite and infinite cases, sequences as functions, sum and difference of two series, convergence of a series and the sum to infinity, infinite geometric series Statistics and probability: probability, discrete random variables, normal distribution, sampling, hypothesis testing, correlation and linear regression The JC H2 mathematics exam consists of two 3 hour papers for a total test time of 6 hours. Each of the exams constitutes 50% of the final grade.