Calculus and Vectors

The unit of study builds on the learning from Algebra, Functions and Graphs of Functions and is intended for students pursuing careers in engineering and applied science. The content will introduce students to concepts of rates of change, differential calculus, derivatives and their applications as well as the geometry and algebra of vectors. Students will cover mathematics that is required in engineering and applied science. Students will study differentiation of single and multi-variable functions. They will be introduced to differentiation by covering limits and differentiation by first principles. Students will be able to apply these techniques to applications such as rates of change and small approximations, minima and maxima, area under a curve and volumes of revolution. Students will also study vectors and will be studying vector algebra and properties of vectors which will be applied to solving vector valued problems.