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.
2x1-hr lectures; 1x1-hr tutorial/wk
2 x quizzes (30%), 2 x assignments (5%), online quizzes (10%), final exam (55%)
Multivariable Calculus and Modelling (Course Notes for MATH1023)
Knowledge of complex numbers and methods of differential and integral calculus including integration by partial fractions and integration by parts as for example in MATH1021 or MATH1921 or MATH1931 or HSC Mathematics Extension 2
MATH1013 or MATH1903 or MATH1907 or MATH1003 or MATH1923 or MATH1933