Availabilities:
Location | Domestic | International |
---|---|---|
Online |
Unit description
Expands on the theory and techniques in Calculus and Linear Algebra. Topics include sequences and series, vector and inner product spaces, and linear transformations.
Unit content
Further Topics in Differentiation
Further Topics in Integration
Sequences and Series
Taylor Series
Vector Spaces and Subspaces
Vector Basis and Dimension
Fundamental Spaces
Linear transformations
Diagonalisation
Inner Product
Orthonormal Bases
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: | GA1 | GA2 | GA3 | GA4 | GA5 | GA6 | GA7 | |
---|---|---|---|---|---|---|---|---|
1 | use the concepts and techniques of calculus, such as sequences and series | Intellectual rigour | Knowledge of a discipline | |||||
2 | formulate the concepts and techniques of linear algebra, such as vector and inner product spaces and transformations | Intellectual rigour | Knowledge of a discipline | |||||
3 | proficiency in applying mathematical techniques within calculus and linear algebra to application problems | Intellectual rigour | Knowledge of a discipline | |||||
4 | communicate mathematical ideas, processes and results effectively | Knowledge of a discipline | Communication and social skills |
On completion of this unit, students should be able to:
- use the concepts and techniques of calculus, such as sequences and series
- GA1: Intellectual rigour
- GA4: Knowledge of a discipline
- formulate the concepts and techniques of linear algebra, such as vector and inner product spaces and transformations
- GA1: Intellectual rigour
- GA4: Knowledge of a discipline
- proficiency in applying mathematical techniques within calculus and linear algebra to application problems
- GA1: Intellectual rigour
- GA4: Knowledge of a discipline
- communicate mathematical ideas, processes and results effectively
- GA4: Knowledge of a discipline
- GA6: Communication and social skills
Prescribed texts
- No prescribed texts.
- Prescribed text information is not currently available.
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% |
Fee information
Domestic
Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Fee paying courses
For postgraduate or undergraduate full fee paying courses please check Domestic Postgraduate Fees OR Domestic Undergraduate Fees
International
Please check the international course and fee list to determine the relevant fees.