Unit of study_

# Multivariable Calculus and Modelling (Adv) - MATH1923

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.

Classes
2x1-hr lectures; and 1x1-hr tutorial/wk

Assessment
2 x quizzes (20%); 2 x assignments (10%); final exam (70%)

Textbooks
As set out in the Junior Mathematics Handbook

Assumed knowledge
(HSC Mathematics Extension 2) OR (Band E4 in HSC Mathematics Extension 1) or equivalent.

Pre-requisites

NSW HSC 2 unit Mathematics or equivalent or a credit or above in MATH1111

Prohibitions

MATH1003 or MATH1013 or MATH1907 or MATH1903 or MATH1023 or MATH1933

### Details

Faculty: Science

Semester 2

05 Aug 2019

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Aug 2019
Unit of study level: Junior
Credit points: 3.0
EFTSL: 0.063
Available for study abroad and exchange: Yes
Faculty/department permission required? Yes
Location
Camperdown
More details
Unit of Study coordinator: A/Prof Sharon Stephen
HECS Band: 2
##### Courses that offer this unit

Non-award/non-degree study If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student. Cross-institutional study If you are from another Australian tertiary institution you may be permitted to undertake cross-institutional study in one or more units of study at the University of Sydney.

To help you understand common terms that we use at the University, we offer an online glossary.