Availabilities:

LocationDomesticInternational
OnlineN/A

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.

GA1: Intellectual rigour, GA2: Creativity, GA3: Ethical practice, GA4: Knowledge of a discipline, GA5: Lifelong learning, GA6: Communication and social skills, GA7: Cultural competence
On completion of this unit, students should be able to:GA1GA2GA3GA4GA5GA6GA7
1use the concepts and techniques of calculus, such as sequences and seriesIntellectual rigourKnowledge of a discipline
2formulate the concepts and techniques of linear algebra, such as vector and inner product spaces and transformationsIntellectual rigourKnowledge of a discipline
3proficiency in applying mathematical techniques within calculus and linear algebra to application problemsIntellectual rigourKnowledge of a discipline
4communicate mathematical ideas, processes and results effectivelyKnowledge of a disciplineCommunication and social skills

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

  1. use the concepts and techniques of calculus, such as sequences and series
    • GA1: Intellectual rigour
    • GA4: Knowledge of a discipline
  2. 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
  3. proficiency in applying mathematical techniques within calculus and linear algebra to application problems
    • GA1: Intellectual rigour
    • GA4: Knowledge of a discipline
  4. communicate mathematical ideas, processes and results effectively
    • GA4: Knowledge of a discipline
    • GA6: Communication and social skills

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
Calculations25%
Calculations25%
Exam: closed book50%
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
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.

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