# Calculus and Applications

MTH10012 12.5 Credit Points Hawthorn, Sarawak Available to incoming Study Abroad and Exchange students

### Duration

• One Semester or equivalent

### Contact hours

• 60 hours face to face + Blended

On-campus unit delivery combines face-to-face and digital learning.

## 2023 teaching periods

HawthornHigher Ed. Semester 1 HawthornHigher Ed. Semester 2 Dates: 27 Feb 23 - 28 May 23Results: 4 Jul 23Last self enrolment: 12 Mar 23Census: 31 Mar 23Last withdraw without fail: 14 Apr 23 Dates: 31 Jul 23 - 29 Oct 23Results: 5 Dec 23Last self enrolment: 13 Aug 23Census: 31 Aug 23Last withdraw without fail: 15 Sep 23

### Prerequisites

Admission into a Bachelor of Engineering (Honours), Bachelor of Aviation or Bachelor of Science, and all related Professional or double degrees
OR
OR

Anti-requisite (similar in content)

Assumed Knowledge
A study score of at least 20 in VCE Units 3 and 4 Mathematical Methods, or equivalent

### Aims and objectives

This unit of study aims to provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering and science studies

Unit Learning Outcomes (ULO)
Students who successfully complete this unit will be able to:

1. Recognise algebraic and graphical forms of standard functions, convert between these forms and calculate their inverses and compositions (K2)
2. Apply the induction principle and basic inequalities to verify important propositions (K2)
3. Appraise and apply standard approaches for determining the existence of limits of sequences and functions, quantifying these as point values where appropriate (K2)
4. Apply techniques of differential calculus to functions of one variable, interpreting in the context of equations, graphs and real-world applications (K2)
5. Apply techniques of integral calculus to functions of one variable, interpreting in the context of equations, graphs and real world applications (K2, S1)
6. Formulate separable and linear differential equations in abstract and real-world settings, appraising and applying solution schemas in simple, fundamental equations (K2, S1)
7.Determine partial derivatives of functions of more than one variable and use these to identify and classify their stationary points (K2)

Swinburne Engineering Competencies (A1-7, K1-6, S1-4): find out more about including the Engineers Australia Stage 1 Competencies.