|
The availability of units in Semester 1, 2, full year, etc. was correct at
the time of going to press but may be subject to change. For the most
up-to-date information click on the Timetable button at the bottom of this page.
Mathematics 101
(530.101)
Outcomes: Students are able to apply mathematical reasoning to
analyse the essential structure of problems in various fields of human
endeavour; extend their knowledge of mathematical techniques and adapt known
solutions to different situations; understand and appreciate the power and
beauty of mathematical abstraction; communicate effectively with others;
present mathematical results in a logical and coherent fashion; and undertake
continuous learning, and realise that understanding of fundamentals is
necessary for effective application.
Content: This unit is required for students intending to major
in Applied or Pure Mathematics or Mathematical Statistics or Mathematical
Sciences, students in some of the physical sciences and all students in the
combined Science/Engineering degree course. It is also suitable for other
students wishing to have a strong mathematics component in their degrees.
Topics include methods of
proof, logic and mathematical induction; inequalities; infinite sequences,
bounded and mono-tone sequences; limits and continuity of functions;
differentiability; inverse functions; the mean value theorem and applications,
Rolle’s theorem, curve sketching, maxima and minima, optimisation problems;
first-order differential equations; probability, independence, Bayes’ theorem;
the binomial, Poisson and normal distributions; sampling, confidence intervals,
hypothesis testing, t-tests. Students make extensive use of the MiniTab
statistical package.
Assessment: This comprises an examination at the end of the
semester and in-semester tests and assignments. All assessment tasks require
students to apply their knowledge of the unit content to solve previously
unseen problems. Assignments are completed by small groups which are expected
to work together to produce the best possible result for the group. Some parts
of assessment involve the use of computers to enter results. In all written
assessed work, credit is given for clarity and correctness of presentation as
well as for actual results.
Contact hours: 78 (lectures: 65
hrs; labs/practice classes: 13
hrs)
Prerequisites: TEE Calculus and Applicable Mathematics
|