Mathematics (Further)

Course summary

Course Content Summary Year 1 Pure: - Matrices and transformations - Complex numbers - Roots of polynomials - Sequences and series - Complex numbers and geometry - Matrices and their inverses - Vectors and 3D space Modelling with Algorithms: - Algorithms - Modelling with graphs and networks - Network algorithms - Critical path analysis - Network flows - Linear programming - Simplex method - Reformulating network problems as linear - Programming problems Statistics: - Statistical problem solving - Discrete random variables - Discrete probability distributions - Bivariate data – correlation coefficients - Bivariate data – regression lines - Chi-squared tests Course Content Summary Year 2 Mechanics: - Kinematics - Forces and Motion - A model for friction - Moments of forces - Work, energy, and power - Impulse and momentum - Centre of mass - Dimensional analysis Pure: - Vectors - Matrices - Series and Induction - Further Calculus - Polar coordinates - Maclaurin series - Hyperbolic functions - Applications of integration - First-order differential equations - Complex numbers - Second-order differential equations