Undergraduate - UnitENG1090 - Foundation mathematics

On completing this unit students will be able to demonstrate understanding of the characteristics of different types of functions and their graphs, composition of functions, and inverse functions; use trigonometric functions to model periodic behaviour; represent complex numbers in cartesian, polar and exponential forms, and on the complex plane; operate with complex numbers, including finding powers and complex roots of polynomials; demonstrate understanding of the concepts of limit, continuity, differentiable and integrable functions; use differentiation rules to find derivatives of implicit and explicit functions; apply differentiation techniques to related rates of change problems and optimization problems; use simple integration techniques to find definite and indefinite integrals, including integration by substitution and integration of rational functions; apply integration techniques to calculate areas, average values, volumes, centres of mass, moment, and work; perform operations with two- and three-dimensional vectors, interpret them geometrically, find vector resolutes, and apply them to motion of a particle; solve kinematics problems, and set up and solve problems involving Newton's laws of motion.