2007 AP03 Postgraduate Calendar amendments
From MathsDept
AP 03 Amendment 2007/XXX Faculty: Science
Mathematics Postgraduate courses
*some of these affect also the GDIPSCI*
PROPOSED AMENDMENT TO SCHEDULE OF PRESCRIPTIONS
1. (To change the prescription of a Course)
2007 Calendar, p. 641
Subject: MATHS 701
Level : Postgraduate
AMEND title of MATHS 701 to: Research Skills in Mathematics Education
AMEND title also on the following pages: [list all Calendar pages where course title appears]
INSERT prescription for MATHS 701
Prepares students for postgraduate study in mathematics and statistics education. Its emphasis is on workshops in the key research skills required by students working at this level. It will cover a range of research issues and techniques.
2. (To change the prescription of a Course)
2007 Calendar, p. 641
Subject: MATHS 702
Level : Postgraduate
INSERT prescription for MATHS 702
Considers such issues as the historical development of mathematics and statistics curricula, current New Zealand and international trends, the relationship between curriculum and assessment, and the politics of curriculum development.
3. (To change the prescription of a Course)
2007 Calendar, p. 641
Subject: MATHS 7013
Level : Postgraduate
AMEND title of MATHS 703 to: Theoretical Issues in Mathematics Education
AMEND title also on the following pages: [list all Calendar pages where course title appears]
INSERT prescription for MATHS 703
An analysis of theoretical perspectives that inform research in mathematics education, with a focus on learning theories, both social and psychological, and their implications for teaching and learning in mathematics.
4. (To change the prescription of a Course)
2007 Calendar, p. 641
Subject: MATHS 705
Level : Postgraduate
AMEND title of MATHS 705 to: Social Issues in Mathematics Education
AMEND title also on the following pages: [list all Calendar pages where course title appears]
INSERT prescription for MATHS 705
An examination of cultural, social, and language issues that arise in mathematics and statistics education. It will cover literature and theory on topics including language and learning, gender and equity issues, and cultural aspects of mathematics and statistics learning.
5. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 706
Level : Postgraduate
AMEND title of MATHS 706 to: Technology and Mathematics Education
AMEND title also on the following pages: [list all Calendar pages where course title appears]
INSERT prescription for MATHS 706
The use of computers and calculators in mathematics education, with a focus on both theoretical and practical aspects of the use of computers in the mathematics classroom. The pedagogical implications of computers for the present and the future of mathematics education are discussed.
6. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 712
Level : Postgraduate
INSERT prescription for MATHS 712
Recent theoretical perspectives on the teaching and learning of school and university mathematics are linked to the learning of either calculus or algebra. The focus is on the mathematics content, applications, and effective learning at school and university. The topics will be 2007 Calculus, 2008 Algebra and 2009 Calculus.
7. 2007 Calendar, p. 642
Subject: MATHS
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 713 to
Prerequisite: from TO: MATHS 315 or PHIL 305
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Logic and Computation, BA(Hons) Mathematics, PGDipSci Logic and Computation, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics
(To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 713
Level : Postgraduate
INSERT prescription for MATHS 713
A study of the foundations of pure mathematics, formalising the notions of a “mathematical proof” and “mathematical structure” through predicate calculus and model theory. Explores the limits of these formalisations such as those posed by Gödel’s Incompleteness theorems, and it includes a study of axiomatic set theory.
8.
(To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 714
Level : Postgraduate course
INSERT prescription for MATHS 714
A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.
(To change a Prerequisite or Restriction)
2007 Calendar, p.642
Subject: MATHS 714
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 714 to
Prerequisite: from: B+ pass in MATHS 328 or 320 TO: B+ in either MATHS 328 or MATHS 320
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics
9. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 715
Level : Postgraduate courses
INSERT prescription for MATHS 715
Theory and applications of combinatorial graphs (networks), block designs, and error-correcting codes. Topics include graph connectivity, trees, colourings, embeddings, digraphs, matchings, incidence matrices, eigenvalue methods, Steiner systems, perfect and linear codes.
10. Purpose of Proposal: Change course title and description
Justification for Proposal: More accurately describe the contents of the course
(To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 720
Level : Posgraduate
AMEND title of MATHS 720 to: Group Theory
AMEND title also on the following pages: [list all Calendar pages where course title appears]
INSERT prescription for MATHS 720
A study of groups focusing on basic structural properties, presentations, automorphisms and actions on sets, illustrating their fundamental role in the study of symmetry (for example in crystal structures in chemistry and physics), topological spaces, and manifolds.
11. Purpose of Proposal: Change course title and description
Justification for Proposal: More accurately describe the contents of the course
(To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 721
Level : Postgraduate
AMEND title of MATHS 721 to: Representations and Structure of Algebras and Groups
AMEND title also on the following pages:
INSERT prescription for MATHS 721
Representation theory studies properties of abstract groups and algebras by representing their elements as linear transformations of vector spaces or matrices, thus reducing many problems about the structures to linear algebra, a well-understood theory.
12. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 730
Level : Postgraduate
INSERT prescription for MATHS 730
Presenting the modern elegant theory of integration as developed by Riemann and Lebesgue, it includes powerful theorems for the interchange of integrals and limits so allowing very general functions to be integrated, and illustrates how the subject is both an essential tool for analysis and a critical foundation for the theory of probability.
(To change a Prerequisite or Restriction)
2007 Calendar, p.642
Subject: MATHS 730
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 730 to
Prerequisite: from: TO: MATHS 332
Recommended preparation from: TO Strongly recommended: MATHS 333
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics
13. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 731
Level : Postgraduate
INSERT prescription for MATHS 731
Provides the mathematical foundations behind some of the techniques used in applied mathematics and mathematical physics in particular. For example, many phenomena in physics can be described by the solution of a partial differential equation (e.g. the Heat equation, the Wave equation and Schrödinger's equation etc). This course presents some of the fundamental ideas that under-pin the modern treatment of these topics.
(To change a Prerequisite or Restriction)
2007 Calendar, p.642
Subject: MATHS 731
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 731 to
Prerequisite: from: TO: MATHS 332 and MATHS 333
Recommended preparation from: TO MATHS 730 and MATHS 750
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics
14. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 735
Level : Postgraduate
INSERT prescription for MATHS 735
Studies surfaces and their generalisations, smooth manifolds, and the interaction between geometry, analysis and topology; it is a central tool in many areas of mathematics, physics and engineering. Topics include Stokes’ theorem on manifolds and the celebrated Gauss Bonnet theorem.
(To change a Prerequisite or Restriction)
2007 Calendar, p.642
Subject: MATHS 735
Level : Postgraduate course AMEND prerequisite/restriction for MATHS 735 to
Prerequisite: from: TO: MATHS 332
Recommended preparation from: TO Strongly recommended: MATHS 333 and MATHS 340
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics
15. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 740
Level : Postgraduate
INSERT prescription for MATHS 740
Studies analytic functions and their properties, which often reflect the topology of the region on which the functions are defined. This relationship yields powerful conceptual and computational tools and results, including the uniformisation theorem of Riemann which is a cornerstone in conformal geometry. The concepts and objects have applications in many branches of mathematics, physics, and engineering.
(To change a Prerequisite or Restriction)
2007 Calendar, p.642
Subject: MATHS 740
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 740 to
Prerequisite: from: TO: MATHS 332
Recommended preparation from: TO Strongly recommended: MATHS 333 and MATHS 340
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics
16. (To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 745
Level : Postgraduate
INSERT prescription for MATHS 745
Presents the classical fractals of computer science and art such as Julia and Mandelbrot sets, iterated function systems and higher-dimensional strange attractors, and illustrates applications of chaos, fractals and bifurcation to areas including commerce, medicine, biological and physical sciences.
17.
(To change the prescription of a Course)
2007 Calendar, p. 642
Subject: MATHS 750
Level : Postgraduate
INSERT prescription for MATHS 750
Unlike most geometries, topology models objects which may be stretched non-uniformly. Its ideas have applications in other branches of mathematics as well as physics, chemistry, economics and beyond. Its results give a general picture of what is possible rather than precise details of when and where. The course covers aspects of general and algebraic topology.
(To change a Prerequisite or Restriction)
2007 Calendar, p.642
Subject: MATHS 750
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 750 to
Prerequisite: from: TO: MATHS 332 or MATHS 353
Recommended preparation from: TO Strongly recommended: MATHS 333
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics
18.
(To change the prescription of a Course)
2007 Calendar, p. 643
Subject: MATHS 761
Level : Postgraduate
INSERT prescription for MATHS 761
AMEND title of MATHS 761 to: Dynamical Systems
AMEND title also on the following pages: [list all Calendar pages where course title appears]
Mathematical models of systems that change are frequently written in the form of nonlinear differential equations, but it is usually not possible to write down explicit solutions to these equations. This course covers analytical and numerical techniques that are useful for determining the qualitative properties of solutions to nonlinear differential equations.
Purpose of Proposal: Modify prerequisites
Justification for Proposal: The content of the existing prerequisite courses has changed
(To change a Prerequisite or Restriction)
2007 Calendar, p.643
Subject: MATHS 761
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 761 to
Prerequisite: from: MATHS 361 and either MATHS 362 or 363 TO: MATHS 340 and MATHS 361
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics, BSc(Hon) Applied mathematics, BSc(Hon) Physics, PGDipSci Applied mathematics, PGDipSci Physics
19. (To change the prescription of a Course)
2007 Calendar, p. 643
Subject: MATHS 763
Level : Postgraduate
INSERT prescription for MATHS 763
AMEND title of MATHS 763 to: Advanced Partial Differential Equations
AMEND title also on the following pages: [list all Calendar pages where course title appears]
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
(To change a Prerequisite or Restriction)
2007 Calendar, p.643
Subject: MATHS 763
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 763 to
Prerequisite: from: MATHS 361, 362 TO: MATHS 340 and MATHS 361
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics, BSc(Hon) Applied mathematics, BSc(Hon) Physics, PGDipSci Applied mathematics, PGDipSci Physics
20. (To add a course) 2007 Calendar, p. -
Subject: Mathematics
Level : Postgraduate course
INSERT new course MATHS 764 15 Points
Mathematical Biology
A course introducing central concepts in mathematical biology, with emphasis on modelling gene dynamics and physiological systems. The physiology part will cover enzyme kinetics, transport across biological membranes, and action potentials. (N.B. this course has been given in Semester 1 2007 under the catalogue number MATHS 786).
Prerequisite:
Restriction:
OTHER Subjects/majors/specialisations in which Course occurs:
Provide list
21. (To change the prescription of a Course)
2007 Calendar, p. 643
Subject: MATHS 769
Level : Postgraduate
INSERT prescription for MATHS 769
AMEND title of MATHS 769 to: Applied Differential Equations
AMEND title also on the following pages: [list all Calendar pages where course title appears]
Systems taken from a variety of areas such as financial mathematics, fluid mechanics and population dynamics can be modelled with partial differential equations and stochastic differential equations. This course uses such applications as the context to learn about these two important classes of differential equations.
(To change a Prerequisite or Restriction)
2007 Calendar, p.643
Subject: MATHS 769
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 769 to
Prerequisite: from: MATHS 361, 362 TO: MATHS 340 and MATHS 361
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics, BSc(Hon) Applied mathematics, PGDipSci Applied mathematics
22.
(To change the prescription of a Course)
2007 Calendar, p. 643
Subject: MATHS 770
Level : Postgraduate
INSERT prescription for MATHS 770
This course covers the use, implementation and analysis of efficient and reliable numerical algorithms for solving several classes of mathematical problems. The course assumes students have done an undergraduate course in numerical methods and can use Matlab or other high-level computational language.
(To change a Prerequisite or Restriction)
2007 Calendar, p.643
Subject: MATHS 770
Level : Postgraduate course
AMEND prerequisite/restriction for MATHS 770 to
Prerequisite: from: MATHS 270 and one of MATHS 361, 362, 363 TO: MATHS 270 and one of MATHS 361, MATHS 340, MATHS 363
OTHER Subjects/majors/specialisations in which Course occurs: BA(Hons) Mathematics, BSc(Hons) Mathematics, PGDipSci Mathematics, GDipSci Mathematics, MA Mathematics, MSc Mathematics, BSc(Hon) Applied mathematics, PGDipSci Applied mathematics
