KMA Unit Details as at 13th June, 2002 Calculus and Applications 1 Enrolment code: KMA150 Offered: Hobart: semesters 1 & 2 Combines KMA152 Calculus and Applications 1A and KMA154 Calculus and Applications 1B. Unit weight 25% Teaching pattern 3x1-hr lectures, 1-hr tutorial, 1-hr practicals weekly Prerequisites *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) Mutual exclusions KMA152, KMA154, KMA156, KMA157, KMA171, KMA172, KNT125, KNT126 Assessment mode 2x3-hr exams (80%), assignments (20%) Courses [N3A] [S3G] [S3Gc2] [OC] Faculty website <http://www.utas.edu.au/scieng/> Calculus and Applications 1A Enrolment code: KMA152 Offered: Hobart: semester 1 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 Prerequisites *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) Mutual exclusions KMA150, KMA156 and KMA157 Assessment mode 3-hr exam (80%), assignments (20%) Required texts etc J Stewart, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493 Courses [S3G] [S3Gc2] [N3H] [OC] Faculty website <http://www.utas.edu.au/scieng/> Data Handling and Statistics 1 Enrolment code: KMA153 Offered: Hobart: semester 2, Launceston: semester 1 OR semester 2 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –1 KMA Unit Details as at 13th June, 2002 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 Prerequisites *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) Mutual exclusions KMA165, KMA272 Assessment mode assignments and class tests Courses [C3U] [M3F] [N3H] [S2B] [S3A] [S3G] [S3Gc1] [S3Gc2] [S3K] [S3T] [OC] Faculty website <http://www.utas.edu.au/scieng/> Calculus and Applications 1B Enrolment code: KMA154 Offered: Hobart: semester 2 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 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 Prerequisites (KMA152 or KMA153 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) Mutual exclusions KMA150 Assessment mode 3-hr examination (80%), assignments (20%) Required texts etc J Stewart, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493 Courses [S3G] [S3Gc1] [S3Gc2] [OC] Faculty website <http://www.utas.edu.au/scieng/> Mathematics for Computer Science 1 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –2 KMA Unit Details as at 13th June, 2002 Enrolment code: KMA155 Offered: Hobart: semester 1 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 Prerequisites *MT730 or *MT841 or *MT843 from Year 12 with a TCE score of 80 or above (subject to counselling and approval from the Head of Mathematics) Assessment mode 3x1-hr class tests (75%), assignments (25%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Calculus and Applications 1S Enrolment code: KMA156 Offered: Hobart: semesters 1 & 2 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 Prerequisites *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) Mutual exclusions KMA150, KMA152, KMA154 and KMA157 Assessment mode 2x3-hr exams (80%), assignments (20%) Required texts etc J Stewart, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493 Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Essential Mathematics Enrolment code: KMA157 Offered: not offered in 2002 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 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –3 KMA Unit Details as at 13th June, 2002 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 Prerequisites *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) Mutual exclusions KMA150, KMA152 and KMA156 Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Mathematics for Aquaculture Enrolment code: KMA162 Offered: Launceston: semester 1 Special note: normally restricted to Aquaculture students 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 Assessment mode 3-hr exam (55%), 3 assignments (45%) Recommended texts etc Foster PC, Easy Mathematics for Biologists, ISBN 9057023393 Courses [S2B] [S3K] [OC] Faculty website <http://www.utas.edu.au/scieng/> Mathematics in Life Sciences 1 Enrolment code: KMA165 Offered: Launceston: semester 2 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 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –4 KMA Unit Details as at 13th June, 2002 Prerequisites Mathematics Applied Level III or *MT730 (recommended), or permission from the lecturer Mutual exclusions KMA153, KMA272 Assessment mode continuous, no exam Courses [M3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Mathematics I Enrolment code: KMA171 Offered: Launceston: summer school OR semester 1, Distance education: summer school OR semester 1 Special note: Bachelor of Science students may enrol in this unit subject to approval 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 Dr D FitzGerald Unit weight 12.5% Teaching pattern 2 hrs lectures, 2 hrs tutorial weekly Prerequisites *MT841 Mutual exclusions KMA150, KMA152, KMA155, KMA156, KNT125 Assessment mode 3-hr exam (60%), regular written work (40%) Required texts etc Stewart I, Calculus: Early Vectors, ISBN 0534349412 Recommended texts etc Thomas GB and Finney RL, Calculus and Analytic Geometry, ISBN 0201531747 Courses [N3H] [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Mathematics II Enrolment code: KMA172 Offered: Launceston: summer school OR semester 2, Distance education: summer school OR semester 2 Special note: Bachelor of Science students may enrol in this unit subject to approval Provides an understanding of: techniques of differentiation and integration, as applied to a wide range of elementary functions; rigorous definitions of limit, continuity, derivative, ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –5 KMA Unit Details as at 13th June, 2002 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 Assoc Prof D Blest Unit weight 12.5% Teaching pattern 3 hrs lectures, 1 hr tutorial weekly Prerequisites KMA171 or KNT125 Mutual exclusions KMA154, KNT126 Assessment mode exam (50%), regular written work (50%) Required texts etc Stewart I, Calculus: Early Vectors, ISBN 0534349412 Recommended texts etc Thomas GB and Finney RL, Calculus and Analytic Geometry, 1996, ISBN 0201531747 Hill R, Elementary Linear Algebra (with Applications), ISBN 0030103479 Courses [S3G] Faculty website <http://www.utas.edu.au/scieng/> Real and Complex Analysis 2 Enrolment code: KMA215 or KMA315 Offered: Hobart: semester 2 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 Dr P Trotter, Dr K Dharmadasa Unit weight 16.67% Teaching pattern 3x1-hr lectures, 1-hr tutorial weekly Prerequisites KMA252 Assessment mode 2-hr exam (70%), internal assessment (30%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Algebra and Applications 2 Enrolment code: KMA251 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –6 KMA Unit Details as at 13th June, 2002 Offered: Hobart: semester 2 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 Prerequisites one of KMA150, KMA152, KMA154, KMA155, KMA156, KMA171, KMA172, KNT125, KNT126 Assessment mode 2-hr exam (80%), assignments (20%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Calculus and Applications 2 Enrolment code: KMA252 Offered: Hobart: semester 1 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. Staff Prof LK Forbes Unit weight 12.5% Teaching pattern 3x1-hr lectures, 1-hr tutorial weekly Prerequisites one of KMA150, KMA152, KMA154, KMA156, KMA171, KMA172, KNT125, KNT126 Mutual exclusions KME271 Assessment mode 2-hr exam (80%), assignments (20%) Required texts etc J Stewart, Calculus, 4th edn, Brooks/Cole, Melb, 1999, ISBN 0534359493 Courses [S3G] [S3Gc2] [OC] Faculty website <http://www.utas.edu.au/scieng/> Data Handling and Statistics 2 Enrolment code: KMA253 Offered: Hobart: semester 1 Extension of the concepts, methods and tools introduced in KMA153. The course 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 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –7 KMA Unit Details as at 13th June, 2002 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 Prerequisites one of KMA150, KMA152, KMA153, KMA154, KMA171, KMA172, KNT125, KNT126 Assessment mode assignments and class tests Courses [S3G] [S3Gc1] [S3T] [OC] Faculty website <http://www.utas.edu.au/scieng/> Differential Equations, Linear Algebra & Applications 2 Enrolment code: KMA254 Offered: Hobart: semester 2 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 Prerequisites one of KMA150, KMA152, KMA156 Assessment mode 2-hr exam (70%), internal assessment (30%) Courses [S3G] [S3Gc1] [OC] Faculty website <http://www.utas.edu.au/scieng/> Operations Research 2 Enrolment code: KMA255 Offered: Hobart: semester 1 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 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –8 KMA Unit Details as at 13th June, 2002 Prerequisites any Yr-1 Maths unit Assessment mode 2-hr exam (70%), assignments (30%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Computational Mathematics & Linear Algebra (Geomatics) Enrolment code: KMA265 Offered: Hobart: semester 1 Special note: this unit is for Geomatics students 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 Prerequisites one of KMA150, KMA152, KMA156 Assessment mode tba Courses [N3H] Faculty website <http://www.utas.edu.au/scieng/> Mathematics III Enrolment code: KMA271 Offered: Launceston: summer school OR semester 1, Distance education: summer school OR semester 1 Special note: Bachelor of Science students may enrol in this unit subject to approval 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 Assoc Prof D Blest, Mr B Robinson Unit weight 12.5% Teaching pattern 4 contact hrs weekly, mixed lecture/tutorial/practical Prerequisites KMA172 Mutual exclusions KMA252, KME271, KNT227 Assessment mode exam (50%), regular written work (50%) ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –9 KMA Unit Details as at 13th June, 2002 Required texts etc James G, Advanced Modern Engineering Mathematics, 2nd edn ISBN 0201596211 Recommended texts etc Stewart I, Calculus: Early Vectors, ISBN 0534349412 Courses [S3G] Faculty website <http://www.utas.edu.au/scieng/> Mathematics IV – Introductory Applied Statistics Enrolment code: KMA272 Offered: Launceston: semester 2 Special note: Bachelor of Science students may enrol in this unit subject to approval 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 Dr D FitzGerald Unit weight 12.5% Teaching pattern 1 hr lecture, 2 hrs tutorials, 1 hr computing session weekly Mutual exclusions KMA165, KMA153 Assessment mode practical data analytic tasks (60%), 2x1-hr tests (40%) Courses [S3G] Faculty website <http://www.utas.edu.au/scieng/> Computational Techniques 3 Enrolment code: KMA350 Offered: Hobart: semester 1 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 Prerequisites KMA150, KMA152, KMA156 Assessment mode tba Courses [S3G] [OC] ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –10 KMA Unit Details as at 13th June, 2002 Faculty website <http://www.utas.edu.au/scieng/> Algebra and Applications 3 Enrolment code: KMA351 Offered: Hobart: semester 1 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 Prerequisites KMA251 Assessment mode 3-hr exam (80%), assignments (20%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Analysis 3 Enrolment code: KMA352 Offered: Hobart: semester 2 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 Prerequisites KMA254 Assessment mode 3-hr exam (70%), assignments (10%), mid-sem test (20%) Recommended texts etc Kreyszig E, Introductory Functional Analysis with Applications, ISBN 047103729X Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Data Handling and Statistics 3 Enrolment code: KMA353 Offered: Hobart: semester 1 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. ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –11 KMA Unit Details as at 13th June, 2002 Staff Dr S Wotherspoon Unit weight 12.5% Teaching pattern 3x1-hr lectures, 1-hr tutorial, 1-hr lab session weekly Prerequisites KMA253 Assessment mode assignments and class tests Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Mathematical Analysis & Applications 3 Enrolment code: KMA354 Offered: Hobart: semester 1 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 Prerequisites KMA252 Assessment mode to be discussed with students, includes 1x2-hr exam Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Operations Research 3 Enrolment code: KMA355 Offered: Hobart: semester 2 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 Prerequisites any Yr-2 Maths unit Assessment mode 2-hr exam (80%), assignments (20%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –12 KMA Unit Details as at 13th June, 2002 Principles of Statistics 3 Enrolment code: KMA356 Offered: Hobart: semester 2 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 Prerequisites one of KMA253, 252 Assessment mode 3-hr exam (70%), assignments (30%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Topics in Advanced Mathematics 3 Enrolment code: KMA357 Offered: Hobart: semester 2 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 Prerequisites any Yr-2 Maths unit Assessment mode 3-hr exam (70%), assignments (30%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Topics in Applied Statistics 3 Enrolment code: KMA358 Offered: not offered in 2002 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 Prerequisites KMA253 or 153 Assessment mode tba Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –13 KMA Unit Details as at 13th June, 2002 Topics in Applied Algebra Enrolment code: KMA359 Offered: not offered in 2002 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 Prerequisites on of KMA155, KMA251, KMA255 Assessment mode 3-hr exam (70%), assignments (30%) Courses [S3G] [OC] Faculty website <http://www.utas.edu.au/scieng/> Mathematics Va Enrolment code: KMA371 Offered: Launceston: semester 2 Special note: Bachelor of Science students may enrol in this unit subject to approval Consists of two parts: (a) provides an introduction to the properties of real numbers and a systematic introduction to the spaces used in functional analysis; and (b) introduces complex variables, analytical functions and complex integration with applications. Staff Mr B Robinson Unit weight 12.5% Teaching pattern 3 hrs lectures, 1 hr tutorial weekly Prerequisites KMA271 Mutual exclusions KMA354 Assessment mode end-of-sem exam (50%), practical work (50%) Required texts etc James G, Advanced Modern Engineering Mathematics, 2nd edn ISBN 0201596211 Courses [S3G] Faculty website <http://www.utas.edu.au/scieng/> Mathematics Vb Enrolment code: KMA372 Offered: Launceston: semester 1 Special note: Bachelor of Science students may enrol in this unit subject to approval Includes methodology of operations research – the role of models and communication; quantitative techniques for decision-making; linear programming; project scheduling; quality management; inventory; and maintenance scheduling. Staff Mr B Robinson Unit weight 12.5% ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –14 KMA Unit Details as at 13th June, 2002 Teaching pattern 5 hrs lectures/tutorials/practical sessions weekly Prerequisites (KMA171 and KMA272) or (KMA153 plus any one of KMA150, KMA152, KMA154, KMA156) Mutual exclusions KMA255 Assessment mode 3-hr exam (50%), assignments and quizzes (50%) Required texts etc Taha HA, Operations Research: an introduction, ISBN 0132811723 Courses [S3G] Faculty website <http://www.utas.edu.au/scieng/> Mathematics VIa Enrolment code: KMA373 Offered: Launceston: semester 1 Special note: Bachelor of Science students may enrol in this unit subject to approval Consists of two parts: (a) introduces numerical methods for the solution of large systems of linear equations, ordinary and partial differential equations; and (b) examines the theoretical aspects of the numerical methods in part (a), and solutions of partial differential equations which occur commonly in applications. Staff Mr B Robinson Unit weight 12.5% Teaching pattern 5 hrs lectures/tutorials/computing sessions weekly Prerequisites KMA271 or KMA252 or KMA254 or KNT227 Mutual exclusions KMA350, KME300 Assessment mode exam (50%), practical work (50%) Required texts etc James G, Advanced Modern Engineering Mathematics, 2nd edn ISBN 0201596211 Courses [S3G] Faculty website <http://www.utas.edu.au/scieng/> Mathematics VIb – Intermediate Applied Statistics Enrolment code: KMA374 Offered: Launceston: semester 2 Special note: Bachelor of Science students may enrol in this unit subject to approval Linear, non-linear, multiple and logistic regression; analysis of variance and multiple comparisons; model diagnosis. Extensive experience with statistical software and the preparation of reports. Staff Dr D FitzGerald Unit weight 12.5% Teaching pattern 4 hrs lectures/tutorials/computer sessions weekly Prerequisites KMA272 or KMA153 (with permission of lecturer) ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –15 KMA Unit Details as at 13th June, 2002 Mutual exclusions KMA253 Assessment mode 2-hour exam (40%), practical data analytic tasks (60%) Required texts etc Hamilton LC, Regression with Graphics, ISBN 0-53-415900-1 Courses [S3G] Faculty website <http://www.utas.edu.au/scieng/> Mathematics Honours Full time/Part time Enrolment code: KMA400 or KMA401 Offered: Hobart: semesters 1 & 2 Special note: full-time students enrol in KMA400 (100%); part-time students in KMA401 (50%) 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 Prerequisites BSc with major in mathematics or equiv Assessment mode either 20% thesis and 80% coursework or 40% thesis and 60% coursework Courses [S4E] [S6X] Faculty website <http://www.utas.edu.au/scieng/> Graduate Diploma in Science with Honours, specialising in Mathematics Enrolment code: KMA500 or KMA501 Offered: Has the same objectives as KMA400/401. Full time/part time ‘umbrella’ code. Courses [S6X] [OC] Faculty website <http://www.utas.edu.au/scieng/> Project A Enrolment code: KMA581 Offered: semester 1 OR semester 2 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. ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –16 KMA Unit Details as at 13th June, 2002 Unit weight 25% Faculty website <http://www.utas.edu.au/scieng/> Project B Enrolment code: KMA582 Offered: semester 1 OR semester 2 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 <http://www.utas.edu.au/scieng/> Project C Enrolment code: KMA583 Offered: semester 1 OR semester 2 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 <http://www.utas.edu.au/scieng/> Project D Enrolment code: KMA584 Offered: semester 1 OR semester 2 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 <http://www.utas.edu.au/scieng/> Mathematics 4 unit Enrolment code: KMA586 Offered: Hobart: semester 1 OR semester 2 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 <http://www.utas.edu.au/scieng/> Mathematics 4 unit Enrolment code: KMA589 ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –17 KMA Unit Details as at 13th June, 2002 Offered: 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 <http://www.utas.edu.au/scieng/> ________________________________________ University of Tasmania unit details March 8, 2016, 20:24 PM, page –18