This topic is a continuation of material of MATH1121 Mathematics 1A and together with MATH1121 Mathematics 1A is intended to provide access to all higher level mathematics topics which require knowledge of standard first year mathematics. The emphasis is on a modelling approach to mathematics and its applications within a coherent framework.
The material covered includes elementary transcendental functions. Integral calculus, fundamental theorem of the calculus, standard techniques of integration including substitution, parts, partial fractions, application to motion, arclength, area, volumes and solids of revolution, Taylor polynomials, series, power series, introduction to elementary differential equations, simple harmonic motion. Systems of linear equations, Gaussian elimination, matrix algebra and determinants.
This topic is a continuation of the material of MATH1121 Mathematics 1A. This topic develops the properties of elementary transcendental functions and introduces key ideas and applications of integral calculus, matrix algebra and linear algebra.