Mathematics IM

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Description

This course provides the necessary additional mathematics to prepare students for MATHS 1011 Mathematics IA. The course contains an introduction to basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to the sciences and financial areas; introduces students to the use of computers in mathematics; and develops problem solving skills with a particular emphasis on applications.

Objective

To provide an introduction to the basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to the sciences and financial areas; to introduce students to the use of computers in mathematics; and to develop problem solving skills with a particular emphasis on applications.

Content

Topics covered are: Calculus: differential calculus with applications; an introduction to differential equations; Algebra: complex numbers; vectors, linear equations and matrices; applications of linear algebra.

Adrian Koerber Lecturer for this course

Delivery

66 hours lectures, tutorials and computer practicals

Assessment

Ongoing assessment 30%, exam 70%.

Graduate attributes

• Applying mathematical knowledge (1)
• Interpreting data and drawing conclusions (2)
• Formulating mathematical problems (3)
• Problem solving skills (4)
• Flexibility in working environment (5)

Linkage past

Prerequisite is SACE Mathematical Studies or equivalent.

Linkage present

This course followed by Mathematics IA and Mathematics IIM (or IB) lays the foundations for all studies in mathematics, engineering, computer science, statistics, the physical sciences and finance; and is useful for students in bioligical sciences, economics and social sciences.

Linkage future

This course plus Mathematics IA and Mathematics IIM (or IB) is a prerequisite for all Level II mathematics, statistics and physics subjects and assumed knowledge for Level II computer science subjects.

Restrictions

None.

Recommended text

Calculus; Single and Multivariable 3rd or 4th Ed,Hughes-Hallett et al (John Wiley) Elementary Linear Algebra with Applications 8th Ed, Anton,H. & Rorres, C. (John Wiley 1994)