Unit of study_

# Multivariable Calculus and Modelling - MATH1023

Year - 2020

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.

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

Assessment
2 x quizzes (30%), 2 x assignments (5%), online quizzes (10%), final exam (55%)

Textbooks
Multivariable Calculus and Modelling (Course Notes for MATH1023)

Assumed knowledge
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

Prohibitions

MATH1013 or MATH1903 or MATH1907 or MATH1003 or MATH1923 or MATH1933

### Details

Faculty: Science

Intensive January

06 Jan 2020

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Block mode
Census Date: 24 Jan 2020
Unit of study level: Junior
Credit points: 3.0
EFTSL: 0.063
Available for study abroad and exchange: No
Faculty/department permission required? No
Location
Camperdown
Faculty: Science

Semester 2

03 Aug 2020

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Aug 2020
Unit of study level: Junior
Credit points: 3.0
EFTSL: 0.063
Available for study abroad and exchange: Yes
Faculty/department permission required? No
Location
Camperdown
Faculty: Science

Semester 1

24 Feb 2020

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Mar 2020
Unit of study level: Junior
Credit points: 3.0
EFTSL: 0.063
Available for study abroad and exchange: Yes
Faculty/department permission required? No
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.