Unit details [KMA]
Mathematics Bridging Unit
Enrolment code: KMA003
Offered: NWC: summer-sch, dist.ed: summer-sch
Special note: the dates for 2004 are Jan 7–Feb 16
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 and Hobart, after
which it is run externally by weekly video meetings, WebCT, email and telephone. A tutor
is available at specific times to discuss 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
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).
Staff: Mr N Windsor
Unit weight: 12.5%
Teaching pattern: half-day introductory session at NW Centre and Hobart; 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 2004 academic year
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Unit details [KMA]
Calculus and Applications for Fisheries 1
Enrolment code: KMA120
Offered: Hbt: (fy) ie sem 1 & 2
Unit description:
Combines KMA152 Calculus and Applications 1A and KMA154 Calculus and
Applications 1B, where tutorials and practicals focus on fisheries related examples.
Staff: Dr P Trotter
Unit weight: 12.5%
Teaching pattern: 3 hrs lectures, 1 hr tutorial, 1 hr practical weekly
Prereq: *MT841 or *MT843 or KMA003 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, KMA156, KMA157, KMA171, KMA172, KNT125,
KNT126
Assess: 2x3-hr exams (80%), assignments (20%)
Required: Stewart J, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493
Courses: [S3M]
Faculty website: <www.utas.edu.au/scieng/>
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: Assoc Prof P Trotter
Unit weight: 25%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr practicals weekly
Prereq: *MT841 or *MT843 or KMA003, or equiv with approval from HoS
M.excl: KMA152, KMA154, KMA156, KMA157, KMA171, KMA172, KNT125, KNT126
Assess: 2x3-hr exams (80%), assignments (20%)
Recommend: Hughes-Hallett, Calculus, 3rd edn, Wiley
Courses: [N3A] [S3G] [S3Gc2] OC:
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
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: Assoc Prof P Trotter
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: *MT841 or *MT843 or KMA003, or equiv with approval from HoS
M.excl: KMA150, KMA156, KMA171 and KMA157
Assess: 3-hr exam (80%), assignments (20%)
Required: Hughes-Hallett, Calculus, 3rd edn, Wiley
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.
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
Staff: Dr S Wotherspoon (Hbt), Dr D Fitzgerald (Ltn)
Unit weight: 12.5%
Teaching pattern: equiv to 2x1-hr lectures, 2x1-hr tutorial, 1-hr lab session weekly
Prereq: *MT730 or *MT841 or *MT843 or KMA003, or equiv with approval from HoS
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
polynomials. Power series. Approximation of integrals: Simpson’s and trapezoidal 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: Assoc Prof 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 KMA003, or equiv with approval from HoS
M.excl: KMA150, KMA156, KMA172
Assess: 3-hr examination (80%), assignments (20%)
Required: Hughes-Hallett, Calculus, 3rd edn, Wiley
Courses: [S3G] [S3Gc1] [S3Gc2] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics for Computer Science 1
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Unit details [KMA]
Enrolment code: KMA155
Offered: Hbt: sem 1
Unit description:
Introduces the fundamental concepts of mathematics and computation. No computing
experience is required. Set theory relations, functions, logic and Boolean algebras, vector
spaces, linear transformations and matrices in 2 and 3 dimensions.
Staff: Dr K Dharmadasa
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: *MT730 or *MT841 or *MT843 or KMA003, or equiv with approval from HoS
Assess: 3x1-hr class tests (75%), assignments (25%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Calculus and Applications 1S
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), Assoc Prof P Trotter (sem 2)
Unit weight: 25%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr practical weekly
Prereq: *MT843 or *MT841 or KMA003, or equiv with approval from HoS
M.excl: KMA150, KMA152, KMA154, KMA171, KMA172 and KMA157
Assess: 2x3-hr exams (80%), assignments (20%)
Required: Hughes-Hallett, Calculus, 3rd edn, Wiley
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
Essential Mathematics
Enrolment code: KMA157
Offered: not offered in 2004
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
Prereq: *MT730 or *MT841 or KMA003, or equiv with approval from HoS
M.excl: KMA150, KMA152, KMA171, KMA172 and KMA156
Courses: [S3G] 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: Dr D FitzGerald
Unit weight: 12.5%
Teaching pattern: 4 hrs lectures/tutorials/practicals weekly
Prereq: Mathematics Applied Level III or *MT730 (recommended), or permission from the
lecturer
M.excl: KMA153, KMA272
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Unit details [KMA]
Assess: continuous, no exam
Courses: [M3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Mathematics I
Enrolment code: KMA171
Offered: Ltn: sem 1, dist.ed: sem 1
Special note: Bachelor of Science students may enrol in this unit subject to approval
Unit description:
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: from the Australian Maritime College
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
Enrolment code: KMA172
Offered: Ltn: sem 2, dist.ed: sem 2
Special note: Bachelor of Science students may enrol in this unit subject to approval
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Unit details [KMA]
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: from the Australian Maritime College
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.
Complex integration. Cauchy’s integral theorem. Singularities and residues. The residue
theorem, applications.
Staff: Assoc Prof P Trotter, Dr K Dharmadasa
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial weekly
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July 11, 2016, 18:56 PM, page –8
Unit details [KMA]
Prereq: KMA252
Assess: 2-hr exam (70%), internal assessment (30%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Calculus and Applications for Fisheries 2
Enrolment code: KMA220
Offered: not offered in 2004
Special note: will be offered in 2005
Unit description:
As for KMA252, Calculus and Applications 2, except that tutorials focus on applied
examples from fisheries.
Staff: Prof LK Forbes
Unit weight: 12.5%
Teaching pattern: 3 hrs lectures, 1 hr tutorial weekly
Prereq: KMA120
M.excl: KMA252,KME271
Assess: 2-hr exam (80%), assignments (20%)
Required: Stewart J, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493
Courses: [S3M]
Faculty website: <www.utas.edu.au/scieng/>
Differential Equations and Linear Algebra for
Fisheries
Enrolment code: KMA221
Offered: not offered in 2004
Special note: will be offered in 2005
Unit description:
As for KMA254, Differential Equations, Linear Algebra & Applications 2, except that
tutorials and computer labs focus on applied examples from fisheries.
Staff: Prof LK Forbes
________________________________________
University of Tasmania unit details for 2004 academic year
July 11, 2016, 18:56 PM, page –9
Unit details [KMA]
Unit weight: 12.5%
Teaching pattern: 3 hrs lectures, 1 hr tutorial, 1 hr practical weekly
Prereq: KMA120
M.excl: KMA254
Assess: 2-hr exam (70%), assignments (30%)
Courses: [S3M]
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 algebras. An introduction to algebraic structures, including groups,
rings, lattices and Boolean algebra. Applications of algebra, including logic, switching
circuits, coding and cryptography.
Staff: Dr B Gardner, Assoc Prof 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
curl. The Divergence Theorem. Stokes’ theorem. Irrotational and incompressible vector
fields. Introduction to Fourier series for periodic functions. Euler’s formulae. Examples.
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
Staff: tba
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 themes introduced in KMA153 by examination of problems involving
several treatments or several explanatory variables. The unit covers properties of designs
and tests; regression; multiple comparisons and analysis of variance; and an introduction
to principles of statistical modelling. Students are expected to use and interpret the
output of a contemporary statistical package, appreciate some problems of real data from
observational studies and carry out analyses and write reports directed towards the
concerns of a given experiment or study.
Staff: Dr D FitzGerald
Unit weight: 12.5%
Teaching pattern: 2x1-hr lectures, 1-hr tutorial, 2x1-hr lab sessions weekly
Prereq: one of KMA150, KMA152, KMA153, KMA154, KMA171, KMA172, KNT125,
KNT126
Assess: assignments and class tests
Recommend: Hamilton LC, Regression with Graphics: A Second Course in Applied Statistics,
Brooke/Cole, Pacific Grove, 1992
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
mathematical programming; linear, quadratic, convex and dynamic programming. Topics
from: flows in networks, transportation and assignment problems, time and task
management, game theory and graph colouring and flows in networks.
Staff: Dr B Gardner, Dr A Kelarev
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly
Prereq: any Yr-1 Maths unit or with permission of HoS
Assess: 2-hr exam (80%), assignments (20%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
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University of Tasmania unit details for 2004 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: Prof LK Forbes
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: sem 1, dist.ed: 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.
Staff: from the Australian Maritime College
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Unit details [KMA]
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/>
Computational Techniques 3
Enrolment code: KMA350
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: Prof LK Forbes
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
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Unit details [KMA]
Unit description:
The development and application of structure theorems for various types of algebras.
Introduction to computer algebra systems and symbolic computation.
Staff: Dr A Kelarev
Unit weight: 12.5%
Teaching pattern: 3x1-hr lectures, 1-hr tutorial, 1-hr lab sessions weekly
Prereq: KMA251
Assess: 2-hr exam (80%), assignments (20%)
Courses: [S3G] OC:
Faculty website: <www.utas.edu.au/scieng/>
Analysis 3
Enrolment code: KMA352
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 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:
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Unit details [KMA]
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
Enrolment code: KMA354
Offered: Hbt: sem 2
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: tba
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
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Unit details [KMA]
Enrolment code: KMA355
Offered: Hbt: sem 2
Unit description:
Applied Probability. Markov chains and their applications to Information Theory. Topics
from: Boolean algebra, combinatorics, cryptography, algebraic coding theory.
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/>
Principles of Statistics 3
Enrolment code: KMA356
Offered: Hbt: sem 2
Unit description:
Topics from: foundations of statistics, maximum likelihood, likelihood ratio tests, Bayesian
methods, sufficiency, general linear models and least squares, generalised linear models,
statistical computing, decision theory.
Staff: Dr S Wotherspoon
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
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
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
Enrolment code: KMA358
Offered: not offered in 2004
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/>
Mathematics Honours
Full time/Part time
Enrolment code: KMA400/401
Offered: Hbt: (fy) ie sem 1 & 2
Special note: full-time students enrol in KMA400 (100%); part-time students in KMA401 (50%)
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
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: 40% thesis and 60% coursework or (with permission of HoS) 20% thesis and 80%
coursework
Courses: [S4E] [S6X]
Faculty website: <www.utas.edu.au/scieng/>
Complexity & Intractability
Enrolment code: KMA402
Offered: Hbt: sem 1, Ltn: sem 1
Unit description:
An honours unit for students with a background in mathematics or computing theory. It
deals with the time complexity of algorithms and in particular with the ‘P=NP’ problem.
Staff: Assoc Prof P Trotter
Unit weight: 12.5%
Teaching pattern: 2 x 1 hr lectures weekly
Prereq: a major in mathematics or computing
Assess: 2 hour exam (70%), internal assessment (30%)
Courses: [S4E]
Faculty website: <www.utas.edu.au/scieng/>
Graduate Diploma in Science with Honours,
specialising in Mathematics
Enrolment code: KMA500/501
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
Unit description:
Has the same objectives as KMA400/401. Full time/part time ‘umbrella’ code.
Courses: [S6X] OC:
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:
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University of Tasmania unit details for 2004 academic year
July 11, 2016, 18:56 PM, page –20
Unit details [KMA]
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 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%.
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University of Tasmania unit details for 2004 academic year
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Unit details [KMA]
Faculty website: <www.utas.edu.au/scieng/>
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University of Tasmania unit details for 2004 academic year
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