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/> ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –1 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –2 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –3 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –4 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –5 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –6 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –7 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. ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –8 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –9 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –10 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/> ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –11 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. ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –12 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 ________________________________________ 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –14 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 ________________________________________ University of Tasmania unit details for 2003 academic year July 11, 2016, 18:46 PM, page –15 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 ________________________________________ 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. ________________________________________ 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 ________________________________________ 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