Calculus is a discipline of mathematics that finds profound applications in science, engineering, and economics. This unit investigates multivariable differential calculus and modelling. Emphasis is given both to the theoretical and foundational aspects of the subject, as well as developing the valuable skill of applying the mathematical theory to solve practical problems. Topics covered in this unit of study include mathematical modelling, first order differential equations, second order differential equations, systems of linear equations, visualisation in 2 and 3 dimensions, partial derivatives, directional derivatives, the gradient vector, and optimisation for functions of more than one variable. Additional topics covered in this advanced unit of study include the use of diagonalisation of matrices to study systems of linear equation and optimisation problems, limits of functions of two or more variables, and the derivative of a function of two or more variables.
2x1-hr lectures; and 1x1-hr tutorial/wk
2 x quizzes (20%); 2 x assignments (10%); final exam (70%)
As set out in the Junior Mathematics Handbook
(HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.
MATH1003 or MATH1013 or MATH1907 or MATH1903 or MATH1023 or MATH1933