## Availabilities:

LocationDomesticInternational
OnlineN/A

## Unit description

Extends the concepts developed in Calculus to functions of several variables and differential equations. Topics include differential equations, partial differentiation, optimisation, vector calculus. Applications and modelling will be considered.

## Unit content

Differential Equations (Topics 1 to 3) - Ordinary differential equations - First-order linear differential equations - Systems of linear equations - Applications and modelling

Functions of Several Variables (Topics 3 to 6) - Functions of two or more variables - Limits and continuity - Partial differentiation - The chain rule - Higher order partial derivatives - Optimisation - Lagrange multipliers

Multiple Integrals (Topics 7 and 8) - Double and triple integrals - Polar, cylindrical and spherical coordinates - Change of variable - Applications

Vector Calculus (Topics 9 and 10) - Vector functions - Limits, differentiation and integration - Gradient, divergence and curl - Line integrals and Green's Theorem

## Learning outcomes

Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.

On completion of this unit, students should be able to:

1. demonstrate a sound knowledge and understanding of multivariate calculus and differential equations concepts
• GA4: Knowledge of a discipline
2. demonstrate a proficiency in applying techniques from multivariate calculus and differential equations
• GA1: Intellectual rigour
• GA6: Communication and social skills
3. use appropriate multivariate calculus or differential equation techniques to solve 'real world' problems
• GA4: Knowledge of a discipline
• GA6: Communication and social skills
4. communicate mathematical ideas, processes and results effectively at different levels of formality.
• GA1: Intellectual rigour
• GA6: Communication and social skills

## Prescribed texts

• No prescribed texts.
• Prescribed text information is not currently available.
Prescribed texts may change in future study periods.

## Teaching and assessment

 Teaching method Tutorial online 2 hours (12 weeks) Structured online learning 2 hours (12 weeks)
 Assessment Calculations 25% Calculations 25% Exam: closed book 50%
Notice

Intensive offerings may or may not be scheduled in every session. Please refer to the timetable for further details.

Southern Cross University employs different teaching methods within units to provide students with the flexibility to choose the mode of learning that best suits them. SCU academics strive to use the latest approaches and, as a result, the learning modes and materials may change. The most current information regarding a unit will be provided to enrolled students at the beginning of the study session.

## Fee information

### Domestic

Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.

Fee paying courses

### International

Please check the international course and fee list to determine the relevant fees.

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