Mathematics Bridging Unit Enrolment code: KMA003

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Unit details [KMA]
Mathematics Bridging Unit
Enrolment code: KMA003
Offered: NWC: summer-sch, dist.ed: summer-sch
Special note: the dates for 2003 are Jan 6–Feb 18
Unit description:
The Mathematics Enabling Program is a flexible summer school unit run from the
North-West Centre in Burnie. The program is for students who are planning to enrol at the
University of Tasmania in a first-year unit in commerce, computing, science or
engineering that requires a mathematics prerequisite.
The unit commences with a half-day introductory session at Burnie, after which it is run
externally by weekly video meetings, WebCT, email and telephone. A tutor is available at
specific times to discuss any queries or problems students may encounter.
There are no entrance pre-requisites to study the Mathematics Bridging Program, however
proficiency in year 10 mathematics is strongly advised. The program is available to University and
non-university students even if you do not intend to enrol in a university course.
There will be a final examination for the unit, assessed on a pass/fail basis, therefore
grades of UP (ungraded pass) and NN (failure) will be awarded. Students who
successfully complete the unit with a grade of Ungraded Pass will be eligible for
enrolment in any mathematics units taught at the University with a year 12 Mathematics
Stage 2 (*MT841) prerequisite. In addition, students who successfully complete the
program will qualify for entry to the Bachelor of Science (S3G) and the Bachelor of Natural
Environment & Wilderness Studies (S3T).
For more details, contact the School of Mathematics & Physics on (03) 6226 2439.
Successful completion guarantees a place
Students who successfully complete the Mathematics Bridging Program with a grade of
Ungraded Pass or the Chemistry Bridging Program with a minimum grade of Pass qualify
for entry to the Bachelor of Science (S3G) and the Bachelor of Natural Environment &
Wilderness studies (S3T) in the Faculty of Science & Engineering.
Fees
The course is free for Australian citizens and Australian permanent residents who are not
required to pay any fees to the University or to contribute towards the Higher Education
Contribution Scheme (HECS).
Teaching pattern: half-day introductory session at NW Centre; thereafter externally by
weekly video meeting, WebCT email and telephone.
Assess: final exam assessed on a pass/fail basis
Courses: [S0F]
Faculty website: <www.utas.edu.au/scieng/>
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
Calculus and Applications 1
Enrolment code: KMA150
Offered: Hbt: (fy) ie sem 1 & 2,
Unit description:
Combines KMA152 Calculus and Applications 1A and KMA154 Calculus and
Applications 1B.
Staff: Dr P Trotter
Unit weight: 25%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr practicals weekly
Prereq: *MT841 or *MT843 or from Year 12 with a TCE score of 80 or above (subject to
counselling and approval from the Head of Mathematics)
M.excl: KMA152, KMA154, KMA156, KMA157, KMA171, KMA172, KNT125, KNT126
Assess: 2x3-hr exams (80%), assignments (20%)
Courses: [N3A] [S3G] [S3Gc2] OC:
Faculty website: <www.utas.edu.au/scieng/>
Calculus and Applications 1A
Enrolment code: KMA152
Offered: Hbt: sem 1,
Unit description:
Provides fundamental tools of one variable calculus that are essential in the application of
mathematics in science and engineering. Review of basic functions. Numerical sequences
and series. Calculus of one variable: differentiation, differentiation techniques, implicit
differentiation, upper and lower sums, integration, Fundamental Theorem of Calculus.
Applications, including optimisation (maximum and minimum problems) and rates of
change. Introduction to vectors and applications, vector spaces and dot products.
Introduction to Mathematica.
Staff: Dr PG Trotter
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: *MT841 or *MT843 or from Year 12 with a TCE score of 80 or above (subject to
counselling and approval from the Head of Mathematics)
M.excl: KMA150, KMA156, KMA171 and KMA157
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Unit details [KMA]
Assess: 3-hr exam (80%), assignments (20%)
Required: Stewart J, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493
Courses: [S3G] [S3Gc2] [N3H] OC:
Faculty website: <www.utas.edu.au/scieng/>
Data Handling and Statistics 1
Enrolment code: KMA153
Offered: Hbt: sem 2, Ltn: may be taken in sem 1 OR sem 2
Unit description:
Introduces the management and interpretation of quantitative information. A ‘hands-on’
course, developed using data which is drawn from disciplines of relevance to the students.
Topics include: collecting, processing and presenting quantitative information; descriptive
statistics for summarising data; data exploration techniques; the role of chance; sampling;
commonly used statistical methods. Interpreting statistical information; mathematical
skills; the concept of modelling; use of computers and spreadsheets in mathematical and
statistical applications.
Staff: Dr S Wotherspoon (Hbt), Dr D Fitzgerald (Ltn)
Unit weight: 12.5%
Teaching pattern: equiv to 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: *MT730 or *MT841 or *MT843 or from Year 12 with a TCE score of 80 or above
(subject to counselling and approval from the Head of Mathematics)
M.excl: KMA165, KMA272
Assess: assignments and class tests
Courses: [C3U] [M3F] [N3H] [S2B] [S3A] [S3G] [S3Gc1] [S3Gc2] [S3K] [S3T] OC:
Faculty website: <www.utas.edu.au/scieng/>
Calculus and Applications 1B
Enrolment code: KMA154
Offered: Hbt: sem 2,
Unit description:
Continuation of KMA152, with emphasis on the applications of single-variable calculus to
problems in the physical and biological sciences, economics and engineering. Techniques
of integration, proper and improper integrals. Approximation of functions by Taylor
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
polynomials. Power series. Approximation of integrals: Simpson’s and trapesoidal rules.
Differential equations, with applications to growth and decay and oscillatory motion.
Non-linear differential equations in one variable. Solution of systems of linear algebraic
equations. Matrices. Parametric curves and motion in 3 dimensions. Applications in
Mathematica.
Staff: Dr P Trotter, Dr B Gardner
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: (KMA152 or KMA153 with permission of HoS or KMA171 or KNT125) and
(*MT841 or *MT843) or from Year 12 with a TCE score of 80 or above (subject to
counselling and approval from the Head of Mathematics)
M.excl: KMA150, KMA172
Assess: 3-hr examination (80%), assignments (20%)
Required: Stewart J, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493
Courses: [S3G] [S3Gc1] [S3Gc2] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics for Computer Science 1
Enrolment code: KMA155
Offered: Hbt: sem 1,
Unit description:
Introduces the fundamental concepts of mathematics and computation. No computing
experience is required. Functions, sets, equivalence relations, order relations, logic and
boolean algebras. Vector spaces, linear transformations and matrices in 2 and 3
dimensions.
Staff: Mr D Fearnley-Sander
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: *MT730 or *MT841 or *MT843 or from Year 12 with a TCE score of 80 or above
(subject to counselling and approval from the Head of Mathematics)
Assess: 3x1-hr class tests (75%), assignments (25%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Calculus and Applications 1S
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Unit details [KMA]
Enrolment code: KMA156
Offered: Hbt: (fy) ie sem 1 & 2,
Unit description:
For students who have achieved a high level qualification in pre-tertiary mathematics,
preparing them for subsequent studies in analysis-based mathematics and other
disciplines requiring a solid grounding in mathematical skills of both a theoretical and
practical nature. Studies include those prescribed for KMA150. There will be a special
‘problem solving’ session in each week.
Staff: Dr B Gardner (sem 1), Dr P Trotter (sem 2)
Unit weight: 25%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr practical weekly
Prereq: *MT843 or *MT841 or from Year 12 with a TCE score of 80 or above (subject to
counselling and approval from the Head of Mathematics)
M.excl: KMA150, KMA152, KMA154, KMA171, KMA172 and KMA157
Assess: 2x3-hr exams (80%), assignments (20%)
Required: Stewart J, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Essential Mathematics
Enrolment code: KMA157
Offered: not offered in 2003
Unit description:
Provides essential mathematics and communication skills in mathematics for those whose
primary interests lie in other disciplines. The unit allows only restricted access to second
year maths units. An introduction to key mathematical concepts together with
communication skills that have application in a variety of disciplines. Mathematics: basic
mathematical modelling, probability, function study (polynomial, exponential, and
trigonometric functions), solving systems of equations, introduction to calculus, difference
and differential equations. Communication skills: scientific writing techniques, graphical
representation, presentation and seminar skills. Emphasis is placed on the use of
appropriate computer packages for both the mathematics and communication aspects of
the unit. Examples are chosen from disciplines of interest to students.
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr practical weekly
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
Prereq: *MT730 or *MT841 or from Year 12 with a TCE score of 80 or above (subject to
counselling and approval from the Head of Mathematics)
M.excl: KMA150, KMA152, KMA171, KMA172 and KMA156
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics for Aquaculture
Enrolment code: KMA162
Offered: Ltn: sem 1,
Special note: normally restricted to Aquaculture students
Unit description:
Is designed specifically to meet the practical mathematical needs of students with
restricted background in mathematics. The unit comprises basic arithmetic, algebra,
trigonometry and statistics.
Staff: tba
Unit weight: 12.5%
Teaching pattern: 2 hrs lectures, 2 hrs tutorial weekly
Assess: 3-hr exam (55%), 3 assignments (45%)
Recommend: Foster PC, Easy Mathematics for Biologists, ISBN 9057023393
Courses: [S2B] [S3K] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics in Life Sciences 1
Enrolment code: KMA165
Offered: Ltn: sem 2,
Unit description:
Provides a basic understanding of key mathematical concepts used in biological science,
particularly statistical design and analysis and growth modelling. The unit introduces the
use of statistical software.
Staff: tba
Unit weight: 12.5%
Teaching pattern: 4 hrs lectures/tutorials/practicals weekly
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
Prereq: Mathematics Applied Level III or *MT730 (recommended), or permission from the
lecturer
M.excl: KMA153, KMA272
Assess: continuous, no exam
Courses: [M3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics I
Enrolment code: KMA171
Offered: Ltn: may be taken in summer-sch OR sem 1, dist.ed: may be taken in
summer-sch OR sem 1,
Special note: Bachelor of Science students may enrol in this unit subject to approval
Unit description:
Is the first unit in the mathematics sequence, providing an introduction to several areas of
mathematics of immediate applicability in other fields. The theme of mathematical
modelling which informs the sequence is initiated, beginning with direct applications of
theory and with the formalising of simplified problems. Studies cover differential calculus
and applications, integral calculus – techniques up to partial fractions; applications to
areas, moments, volumes, work. Introduction of first-order separable differential
equations; linear algebra – solution of systems of linear equations by Gauss-Jordan
reduction, and the inverse matrix; determinants; complex numbers up to de Moivre’s
theorem; real functions up to inverse hyperbolic functions.
Staff: tba
Unit weight: 12.5%
Teaching pattern: 2 hrs lectures, 2 hrs tutorial weekly
Prereq: *MT841
M.excl: KMA150, KMA152, KMA155, KMA156, KNT125
Assess: 3-hr exam (60%), regular written work (40%)
Required: Stewart J, Calculus: Early Vectors, ISBN 0534349412
Recommend: Thomas GB & Finney RL, Calculus and Analytic Geometry, ISBN 0201531747
Courses: [N3H] [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics II
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Unit details [KMA]
Enrolment code: KMA172
Offered: Ltn: may be taken in summer-sch OR sem 2, dist.ed: may be taken in
summer-sch OR sem 2,
Special note: Bachelor of Science students may enrol in this unit subject to approval
Unit description:
Provides an understanding of: techniques of differentiation and integration, as applied to a
wide range of elementary functions; rigorous definitions of limit, continuity, derivative,
and the relevance of these definitions; applications of standard techniques in the solution
of ordinary first order differential equations; numerical integration; applications of the
basic properties of geometric vectors; and basic features of vector spaces as abstract
structures. Lectures cover limits, hyperbolic and circular substitutions in integration,
partial differentiation, first order and linear second order homogeneous differential
equations, sequences and series, vectors, vector spaces, and linear operators.
Staff: tba
Unit weight: 12.5%
Teaching pattern: 3 hrs lectures, 1 hr tutorial weekly
Prereq: KMA171 or KNT125
M.excl: KMA154, KMA150, KMA156, KNT126
Assess: exam (50%), regular written work (50%)
Required: Stewart J, Calculus: Early Vectors, ISBN 0534349412
Recommend: Thomas GB & Finney RL, Calculus and Analytic Geometry, 1996, ISBN
0201531747
Hill R, Elementary Linear Algebra (with Applications), ISBN 0030103479
Courses: [S3G]
Faculty website: <www.utas.edu.au/scieng/>
Real and Complex Analysis 2
Enrolment code: KMA215/315
Offered: Hbt: sem 2,
Unit description:
Provides a deeper understanding of the calculus of real functions, and an introduction to
the powerful methods of complex variable theory. Recommended for mathematics majors,
and teachers at the upper secondary level. Introduction to real analysis. Sequences.
Convergence, limits, Cauchy sequences. Compact sets. Sequences of functions, point-wise
and uniform convergence. Introduction to metric spaces. The complex plane. Complex
sequences, limits. Analytic functions. The Cauchy-Riemann equations. Power series.
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
Complex integration. Cauchy’s integral theorem. Singularities and residues. The residue
theorem, applications.
Staff: Dr P Trotter, Dr K Dharmadasa
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial weekly
Prereq: KMA252
Assess: 2-hr exam (70%), internal assessment (30%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Algebra and Applications 2
Enrolment code: KMA251
Offered: Hbt: sem 2,
Unit description:
A first unit in modern algebra. An introduction to algebraic structures, including groups
and rings. Applications of algebra, including switching circuits and coding.
Staff: Dr B Gardner, Dr P Trotter
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial weekly
Prereq: any yr-1 maths unit
Assess: 2-hr exam (80%), assignments (20%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Calculus and Applications 2
Enrolment code: KMA252
Offered: Hbt: sem 1,
Unit description:
Calculus of several variables. Scalar fields, contours. Partial and directional derivatives,
gradients. Optimisation and Lagrange multipliers. Vector fields. Line integrals. Surface
and volume integrals. Green’s Theorem in the plane. Flux across a surface. Divergence and
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
curl. The Divergence Theorem. Stokes’ theorem. Irrotational and incompressible vector
fields. Introduction to Fourier series for periodic functions. Euler’s formulae. Examples.
Staff: Prof LK Forbes
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial weekly
Prereq: one of KMA150, KMA154, KMA156, KMA172, KNT126 (or one of KMA152,
KMA171, KNT125 with permission of HoS)
M.excl: KME271
Assess: 2-hr exam (80%), assignments (20%)
Required: Stewart J, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493
Courses: [S3G] [S3Gc2] OC:
Faculty website: <www.utas.edu.au/scieng/>
Data Handling and Statistics 2
Enrolment code: KMA253
Offered: Hbt: sem 2
Unit description:
Extension of the concepts, methods and tools introduced in KMA153. The unit covers the
following areas: design of investigations and surveys. Introduction to inferential statistics:
estimation and testing, likelihood, efficiency, least squares, Bayes methods, rank methods.
Commonly used statistical methods: chi-squared tests, analysis of variance, regression
analysis and nonparametric methods. Extension of mathematical skills, and further
applications of models. Development of skills in using statistical computing packages.
Staff: tba
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: one of KMA150, KMA152, KMA153, KMA154, KMA171, KMA172, KNT125,
KNT126
Assess: assignments and class tests
Courses: [S3G] [S3Gc1] [S3T] OC:
Faculty website: <www.utas.edu.au/scieng/>
Differential Equations, Linear Algebra &
Applications 2
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Unit details [KMA]
Enrolment code: KMA254
Offered: Hbt: sem 2,
Unit description:
Covers use of calculus and applied linear algebra in solving problems that arise in the
modelling of real-world situations in biology, physics, chemistry and engineering.
Introduction to phenomena that involve continuous change with time; dynamical systems.
Differential equations of first order. Examples. Separable and linear equations. Non-linear
equations, transformations. Second-order equations; examples. solutions of forced and
unforced equations. Systems of first-order equations, reduction to algebraic systems.
Solution of linear equations. Matrices. Eigenvalues, eigenvectors. Linear independence,
orthogonality. Inner product spaces. Laplace transforms. Linear and non-linear differential
equations.
Staff: Prof LK Forbes
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1 computer lab weekly
Prereq: one of KMA150, KMA156 (or KMA152 with permission of HoS)
Assess: 2-hr exam (70%), internal assessment (30%)
Courses: [S3G] [S3Gc1] OC:
Faculty website: <www.utas.edu.au/scieng/>
Operations Research 2
Enrolment code: KMA255
Offered: Hbt: sem 1,
Unit description:
A first unit in the major non-calculus methods of applied mathematics. Graph theory and
linear programming. Topics from: flows in networks, transportation and assignment
problems, time and task management, game theory and graph colouring.
Staff: Mr D Fearnley-Sander
Unit weight: 12.5%
Teaching pattern: 2x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: any Yr-1 Maths unit
Assess: 2-hr exam (70%), assignments (30%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
Computational Mathematics & Linear Algebra
(Geomatics)
Enrolment code: KMA265
Offered: Hbt: sem 1,
Special note: this unit is for Geomatics students
Unit description:
Fundamental numerical processes for obtaining approximate but useful solutions to
mathematical models. Topics include: errors in computations; solution of linear and
non-linear equations arising from problems in the physical and biological sciences,
commerce and engineering; approximation of functions; numerical integration and
differentiation; eigenvalues and eigenvectors with applications to differential equations
and optimisation. Vector methods, linear algebra and matrix theory and some applications
to spherical trigonometry and geometric transformations (if time permits).
Staff: Dr J D Donaldson
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: one of KMA150, KMA152, KMA156
M.excl: KMA350, KME300
Assess: tba
Courses: [N3H]
Faculty website: <www.utas.edu.au/scieng/>
Mathematics III
Enrolment code: KMA271
Offered: Ltn: may be taken in summer-sch OR sem 1, dist.ed: may be taken in
summer-sch OR sem 1
Special note: Bachelor of Science students may enrol in this unit subject to approval
Unit description:
Commences with a development of the basic ideas of year one mathematics in the areas of
vector algebra and the solution of ordinary differential equations to second order.
Attention is given to series solutions, Laplace Transforms, special functions. The unit
concentrates on: the calculus of several variables including vector calculus; multiple
integrals – methods, relationships, applications.
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
Staff: tba
Unit weight: 12.5%
Teaching pattern: 4 contact hrs weekly, mixed lecture/tutorial/practical
Prereq: KMA172
M.excl: KMA252, KME271, KNT227
Assess: exam (50%), regular written work (50%)
Required: James G, Advanced Modern Engineering Mathematics, 2nd edn ISBN 0201596211
Recommend: Stewart J, Calculus: Early Vectors, ISBN 0534349412
Courses: [S3G]
Faculty website: <www.utas.edu.au/scieng/>
Mathematics IV – Introductory Applied Statistics
Enrolment code: KMA272
Offered: Ltn: sem 2,
Special note: Bachelor of Science students may enrol in this unit subject to approval
Unit description:
Encompasses: (a) Descriptive statistics and basic ideas of data analysis – data and their
distributions, graphs and summaries, comparison and association; (b) Probability notions
– discrete and continuous variables, distribution functions, density functions, expected
value, moments; (c) Sampling and sampling variation, estimation, likelihood; size and
power of a test; tests for differences between and among groups, for goodness-of-fit, and
for independence in contingency tables; and (d) Linear regression and correlation –
models, fitting criteria, residuals, estimation and tests; and linearising transformation.
Staff: tba
Unit weight: 12.5%
Teaching pattern: 1 hr lecture, 2 hrs tutorials, 1 hr computing session weekly
M.excl: KMA165, KMA153
Assess: practical data analytic tasks (60%), 2x1-hr tests (40%)
Courses: [S3G]
Faculty website: <www.utas.edu.au/scieng/>
Computational Techniques 3
Enrolment code: KMA350
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University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –13
Unit details [KMA]
Offered: Hbt: sem 1,
Unit description:
Fundamental numerical processes for obtaining approximate but useful solutions to
mathematical models. Topics include: errors in computations; solution of linear and
non-linear equations arising from problems in the physical and biological sciences,
commerce and engineering; approximation of functions; numerical integration and
differentiation; eigenvalues and eigenvectors with applications to differential equations
and optimisation.
Staff: Dr JD Donaldson
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: KMA150, KMA152, KMA156
M.excl: KMA265, KME300
Assess: tba
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Algebra and Applications 3
Enrolment code: KMA351
Offered: Hbt: sem 1,
Unit description:
The development and application of structure theorems for various types of algebras.
Staff: Dr A Kelarev
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab sessions weekly
Prereq: KMA251
Assess: 3-hr exam (80%), assignments (20%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Analysis 3
Enrolment code: KMA352
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Unit details [KMA]
Offered: Hbt: sem 2,
Unit description:
Further studies of Hilbert and Banach spaces. Linear operators. Measure theory.
Applications from Banach’s fixed point theorem, integral equations, approximation theory
and Fourier series. Functional analysis.
Staff: Dr K Dharmadasa
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab sessions weekly
Prereq: KMA254
Assess: 3-hr exam (70%), assignments (10%), mid-sem test (20%)
Recommend: Kreyszig E, Introductory Functional Analysis with Applications, ISBN 047103729X
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Data Handling and Statistics 3
Enrolment code: KMA353
Offered: Hbt: sem 1,
Unit description:
Extension of the concepts, methods and tools introduced in KMA253. A ‘hands-on’ course
in which the emphasis is on the development of skills in the selection and application of
statistical methods and the presentation of statistical results. Statistical methodology
covered in the course will be selected from the following: analysis of variance applied in
the area of experimental designs; generalised linear methodology; multivariate statistical
methodology; methods for analysing frequency data; methodology for studying data
collected over time. Expertise with statistical computing packages will be extended.
Staff: Dr S Wotherspoon
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: KMA253
Assess: assignments and class tests
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematical Analysis & Applications 3
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University of Tasmania unit details for 2003 academic year
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Unit details [KMA]
Enrolment code: KMA354
Offered: Hbt: sem 1,
Unit description:
Covers use of advanced calculus in resolving problems in the physical and biological
sciences, commerce and engineering. Partial differential equations models: modelling of
physical phenomena; classification of second order partial differential equations;
separation of variables and Fourier series; numerical solutions; elementary perturbation
theory; random processes; and characteristics of first order equations. Complex analysis:
the fundamental notions of calculus and analysis (convergence, sequences and series,
differentiation and integration) for complex variables; Cauchy’s theorem and its
consequences.
Staff: Dr J Donaldson
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: KMA252
Assess: to be discussed with students, includes 1x2-hr exam
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Operations Research 3
Enrolment code: KMA355
Offered: Hbt: sem 2,
Unit description:
Applied Probability. Markov chains and their application to Information Theory. Coding
and Cryptography. Topics from: Boolean algebra, combinatorics, cryptography, algebraic
coding theory and linear feedback shift registers.
Staff: Dr A Kelarev
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: any Yr-2 Maths unit
Assess: 2-hr exam (80%), assignments (20%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
________________________________________
University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –16
Unit details [KMA]
Principles of Statistics 3
Enrolment code: KMA356
Offered: Hbt: sem 2,
Unit description:
Topics from: foundations of statistics, maximum likelihood, likelihood ratio tests,
sufficiency, general linear models and least squares, generalised linear models, statistical
computing, decision theory.
Staff: Mr D Fearnley-Sander
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: one of KMA253, KMA252
Assess: 3-hr exam (70%), assignments (30%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Topics in Advanced Mathematics 3
Enrolment code: KMA357
Offered: Hbt: sem 2,
Unit description:
Selected topics from geometry, combinatorics, set theory, topology, number theory and
history of mathematics.
Staff: Dr B Gardner
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: any Yr-2 Maths unit
Assess: 3-hr exam (70%), assignments (30%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Topics in Applied Statistics 3
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University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –17
Unit details [KMA]
Enrolment code: KMA358
Offered: not offered in 2003
Unit description:
Selected topics from real-life applications of statistics such as survey sampling, biological
species abundance estimation, clinical trials, quality control, geophysical assays,
forecasting, experimental design.
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr practical weekly
Prereq: KMA253 or KMA153
Assess: tba
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Topics in Applied Algebra
Enrolment code: KMA359
Offered: not offered in 2003
Unit description:
Selected topics from applications of algebra. These will be computer science or
communication based applications such as to automata, formal languages or coding.
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr practical weekly
Prereq: on of KMA155, KMA251, KMA255
Assess: 3-hr exam (70%), assignments (30%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics Va
Enrolment code: KMA371
Offered: not offered in 2003
Unit description:
This unit is no longer being offered.
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University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –18
Unit details [KMA]
Faculty website: <www.utas.edu.au/scieng/>
Mathematics Vb
Enrolment code: KMA372
Offered: not offered in 2003
Unit description:
This unit is no longer being offered.
Faculty website: <www.utas.edu.au/scieng/>
Mathematics VIa
Enrolment code: KMA373
Offered: not offered in 2003
Unit description:
This unit is no longer being offered.
Faculty website: <www.utas.edu.au/scieng/>
Mathematics VIb – Intermediate Applied Statistics
Enrolment code: KMA374
Offered: not offered in 2003
Unit description:
This unit is no longer being offered.
Faculty website: <www.utas.edu.au/scieng/>
Mathematics Honours
Full time/Part time
Enrolment code: KMA400/401
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University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –19
Unit details [KMA]
Offered: Hbt: (fy) ie sem 1 & 2,
Special note: full-time students enrol in KMA400 (100%); part-time students in KMA401 (50%)
Unit description:
The honours program extends the knowledge of students to the frontiers of research
through coursework in several areas of mathematics. Students are prepared for a career in
mathematics and are expected to gain an ability and understanding of the literature and
an ability to express that understanding in written form. Units are offered in pure and
applied mathematics and statistics. Students are required to write a thesis under the
direction of a supervisor. The thesis is usually a survey. Students start their thesis work on
the first Monday in February and should complete it by the first week in September.
Unit weight: 100%/50%
Teaching pattern: equiv 6-8x1-hr lectures weekly, plus thesis work
Prereq: BSc with major in mathematics or equiv
Assess: either 20% thesis and 80% coursework or 40% thesis and 60% coursework
Courses: [S4E] [S6X]
Faculty website: <www.utas.edu.au/scieng/>
Complexity & Intractability
Enrolment code: KMA402
Offered: Hbt: sem 1
Unit description:
For details of this unit, please contact the School.
Unit weight: 10%
Courses: [S4E]
Faculty website: <www.utas.edu.au/scieng/>
Graduate Diploma in Science with Honours,
specialising in Mathematics
Enrolment code: KMA500/501
Unit description:
Has the same objectives as KMA400/401. Full time/part time ‘umbrella’ code.
Courses: [S6X] OC:
________________________________________
University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –20
Unit details [KMA]
Faculty website: <www.utas.edu.au/scieng/>
Project A
Enrolment code: KMA581
Offered: .may be taken in sem 1 OR sem 2
Unit description:
Is for students enrolled in the Graduate Diploma in Science, specialising in Statistical
Applications: analysis of data and report. For full details contact the School of
Mathematics and Physics.
Unit weight: 25%
Faculty website: <www.utas.edu.au/scieng/>
Project B
Enrolment code: KMA582
Offered: .may be taken in sem 1 OR sem 2
Unit description:
Is for students enrolled in the Graduate Diploma in Science, specialising in Statistical
Applications: analysis of data and report. For full details contact the School of
Mathematics and Physics.
Unit weight: 25%
Faculty website: <www.utas.edu.au/scieng/>
Project C
Enrolment code: KMA583
Offered: .may be taken in sem 1 OR sem 2
Unit description:
Is for students enrolled in the Graduate Diploma in Science, specialising in Statistical
Applications: analysis of data and report. For full details contact the School of
Mathematics and Physics.
Unit weight: 25%
________________________________________
University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –21
Unit details [KMA]
Faculty website: <www.utas.edu.au/scieng/>
Project D
Enrolment code: KMA584
Offered: .may be taken in sem 1 OR sem 2
Unit description:
Is for students enrolled in the Graduate Diploma in Science, specialising in Statistical
Applications: analysis of data and report. For full details contact the School of
Mathematics and Physics.
Unit weight: 25%
Faculty website: <www.utas.edu.au/scieng/>
Mathematics 4 unit
Enrolment code: KMA586
Offered: Hbt: may be taken in sem 1 OR sem 2
Unit description:
Students enrolled in the Graduate Diploma in Science, specialising in Computational
Mathematics, course who undertake Mathematics 4 units use this code if enrolling in a
12.5% single unit.
Faculty website: <www.utas.edu.au/scieng/>
Mathematics 4 unit
Enrolment code: KMA589
Unit description:
Students enrolled in the Graduate Diploma in Science, specialising in Computational
Mathematics, course who undertake Mathematics 4 units use this code if enrolling in units
with a total weight of 25%.
Faculty website: <www.utas.edu.au/scieng/>
________________________________________
University of Tasmania unit details for 2003 academic year
July 11, 2016, 18:46 PM, page –22
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