2007 AP03 Calendar amendments

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AP 03 Amendment 2007/XXX Faculty: Science

Contents

Mathematics Undergraduate courses

Follow up is required on:

  • some of these affect also the GDIPSCI
  • Courses availability per semester and year (see the 2007-2009 Maths education handbook too)
  • Limitation schedules: MATHS 202 (Semester 1, City) 20 Calendar pg 34
  • PHYSICS 211 is restricted against all of the following: MATHS 208, 230, 253, 260


PROPOSED AMENDMENT TO SCHEDULE OF PRESCRIPTIONS

Tertiary Foundation Certificate

No C O U R S E Purpose of proposal Justification of proposal
1. MATHS 91F Change course description More accurately describe the contents of the course
2. MATHS 92F Change course description More accurately describe the contents of the course
3. MATHS 93F Change course description More accurately describe the contents of the course
4. MATHS 94F Change course description More accurately describe the contents of the course

1. (To change the prescription of a Course)

2007 Calendar, p. 637

Subject: MATHS 91F

Level : Tertiary Foundation Certificate

INSERT prescription for MATHS 91F

This first Mathematics course for students enrolled in the Tertiary Foundation Certificate programme aims to promote an understanding of number skills, including an introduction to algebra. Students will learn how to use simple technology and develop their problem solving abilities.


2. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 92F

Level : Tertiary Foundation Certificate

INSERT prescription for MATHS 92F

This second Mathematics course for students enrolled in the Tertiary Foundation Certificate programme aims to use the skills learnt in MATHS 91F to develop an understanding of functions in their tabular, algebraic and graphical representations. This course prepares students for either MATHS 101 or 102. Bold text


3. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 93F

Level : Tertiary Foundation Certificate

AMEND title of MATHS 93F to: Foundation Mathematics 3

AMEND title also on the following pages: list all Calendar pages where course title appears

INSERT prescription for MATHS 93F

This first Extension Mathematics course for students enrolled in the Tertiary Foundation Certificate programme aims to promote an understanding of numerical and algebraic skills at a deeper level than MATHS 91F. Students will learn how to use simple technology and develop their problem solving abilities.


4. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 94F

Level : Tertiary Foundation Certificate

AMEND title of MATHS 94F to: Foundation Mathematics 4


AMEND title also on the following pages: list all Calendar pages where course title appears

INSERT prescription for MATHS 94F

This second Extension Mathematics course for students enrolled in the Tertiary Foundation Certificate programme aims to use the skills learnt in MATHS 93F to develop an understanding of functions, including differential functions, in their tabular, algebraic and graphical representations. This course prepares students for success in either MATHS 101 or 102.


Bachelor of Science

No C O U R S E Purpose of proposal Justification of proposal
1. MATHS 101 No change Make recommended preparation and restrictions more explicit
2. MATHS 102 Change course description

Make restrictions explicit

More accurately describe the contents of the course

Make recommended preparation and restrictions more explicit

3. MATHS 108 Change course description

Detail the NCEA prerequisites and include MATHS 153 as a restriction

More accurately describe the contents of the course

More appropriate prerequisites and restrictions

4. MATHS 150 Change course description

Detail the NCEA recommended preparation; change it into prerequisites

More accurately describe the contents of the course

More appropriate prerequisites and restrictions

5. MATHS 162 Change course description and title More accurately describe the contents of the course
6. MATHS 202 Change course description More accurately describe the contents of the course
7. MATHS 208 Change course description

Add MATHS 153 to the prerequisites list

More accurately describe the contents of the course

MATHS 153 is the equivalent of MATHS 150 for students still at high-school

8. MATHS 250 Change course description

Add MATHS 208 to the prerequisites list. Raise the grade for MATHS 108 students allowed to directly pass into 250.

More accurately describe the contents of the course

250 is the natural continuation of 208. A grade lower than a B+ in 108 would have students struggling in 250.

9. MATHS 253 Change course description More accurately describe the contents of the course
10. MATHS 255 Change course description

Remove PHYSICS 211 from the restrictions list

More accurately describe the contents of the course
11. MATHS 260 Change course description

Add MATHS 250 and its equivalents to the prerequisites list

More accurately describe the contents of the course

MATHS 250 is an alternative prerequisite to MATHS 208

12. MATHS 270 Change course description More accurately describe the contents of the course
13. MATHS 302 Change course title and description More accurately describe the contents of the course
14. MATHS 315 Change course description

Add PHIL 222 to the prerequisites lists

More accurately describe the contents of the course

PHIL 222 will be an acceptable prerequisite

15. MATHS 320 Change course description More accurately describe the contents of the course
16. MATHS 326 Change course description More accurately describe the contents of the course
17. MATHS 328 Change course description More accurately describe the contents of the course
18. MATHS 332 Change course description and title More accurately describe the contents of the course
19. MATHS 333 Change course description and title More accurately describe the contents of the course
20. MATHS 340 Change course description and title More accurately describe the contents of the course
21. MATHS 347 Delete MATHS 347 Insufficient students in Tamaki because of other changes
22. MATHS 361 Change course description and title More accurately describe the contents of the course
23. MATHS 362 Change course description and title

Add MATHS 340 to the prerequisites list

More accurately describe the contents of the course

MATHS 340 will be an acceptable prerequisite

24. MATHS 363 Change course description and title

No change in prerequisites

More accurately describe the contents of the course

Explicit prerequistes


1. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 101, MATHS 101G

Level : Stage I

INSERT prescription for MATHS 101

Students will encounter the role mathematics plays in understanding and guiding human activity. The teaching is thematic and students experience how fundamental mathematical ideas occur in modelling diverse features of our society such as the environment (eg, air pollution) and medicine (eg, burns, drug dosages).


(To change a Prerequisite or Restriction)

2007 Calendar, p. 638

Subject: Mathematics

Level : Stage I

AMEND prerequisite/restriction for MATHS 101 to

Recommended preparation: from TO: For students who have not studied Mathematics at NCEA Level 3 (or equivalent).

Restrictions: from - TO:

Restrictions: This course may be taken with or after MATHS 190 and may not be taken with or after any other mathematics course at Stage I or above. MATHS 101 is not available for students who passed NCEA Level 3 mathematics or equivalent. MATHS 101G can be taken by such students as part of their General Education.

OTHER Subjects/majors/specialisations in which Course occurs: BSc - Mathematics Schedule, General Education, BA - Mathematics


2.

(To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 102

Level : Stage I

INSERT prescription for MATHS 102

This introduction to calculus focuses on the development of mathematical skills and concepts leading up to calculus, through active participation in problems using functions to model real life contexts. Prepares students for further study, for instance, MATHS 108, MATHS 150.


(To change a Prerequisite or Restriction)

2007 Calendar, p. 638

Subject: Mathematics

Level : Stage I

AMEND prerequisite/restriction for MATHS 102 to

Recommended preparation: from TO: Template:MATHS 102:Recommended preparation

Restrictions: from TO:

Restrictions: This course may be taken with or after MATHS 190, or after MATHS 101. It may not be taken with or after any other Mathematics course at Stage I or above.

OTHER Subjects/majors/specialisations in which Course occurs: CERTSCI (certificate in Science), BSc - Mathematics Schedule, BA - Mathematics


3. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 108

Level : Stage I

INSERT prescription for MATHS 108

The main gateway to mathematics for students, including those taking this subject as part of other majors. Selected topics in algebra and calculus and their applications including: sets, real numbers, integers; linear algebra including matrices, linear functions, linear equations; functions, equations and inequalities; limits and continuity; differential calculus of one and two variables; integral calculus of one variable. These are studied in general settings using applications from science, commerce and information systems.

(To change a Prerequisite or Restriction)

2007 Calendar, p.638 Subject: MATHS 108 Level : Stage I

AMEND prerequisite/restriction for MATHS 108 to

Prerequisite: from MATHS 102 or at least 12 credits in Calculus or Statistics at NCEA level 3 (or equivalent). TO: MATHS 102 or at least 12 credits in NCEA Level 3 Calculus or at least 18 credits in NCEA level 3 Statistics (or equivalent).

Restriction: from ENGSCI 111, MATHS 130, 150, 151, PHYSICS 111 TO: ENGSCI 111, MATHS 130, 150, 151, 153, 208, PHYSICS 111

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BSc - Mathematics Schedule, BA Economics, BCom, BCom Economics major, BCom Finance, BCom Operations research major, BSC Bioinformatics specializations, BTech - Information Technology


4. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 150

Level : Stage I

INSERT prescription for MATHS 150

The main pathway for well prepared students who are planning further courses in the mathematical sciences, including mathematics, statistics, computer science, physics, economics, or finance. It gives an introduction to the use of careful mathematical language and reasoning in the context of the calculus and linear algebra. MATHS 150 is a lot of fun, and is the recommended preparation for MATHS 250.

(To change a Prerequisite or Restriction)

2007 Calendar, p.638

Subject: MATHS 150

Level : Stage I

AMEND prerequisite/restriction for MATHS 150 to

Recommended preparation: from B+ in MATHS 102, or at least 18 credits in Calculus at NCEA Level 3 (or equivalent). TO: -

Prerequisites: from - TO B+ in MATHS 102, or at least 18 credits in Calculus at NCEA Level 3, including at least 6 credits at merit or excellence (or equivalent).

Restriction: from MATHS 108, 109, 151, 130, 230, ENGSCI 111, PHYSICS 111 TO: MATHS 108, 109, 151, 130, 208, 230, ENGSCI 111, PHYSICS 111

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BSc Mathematics schedule, BCom, BCom Economics major


5. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 162

Level : Stage I

AMEND title of MATHS 162 to: Modelling and Computation

AMEND title also on the following pages: -

INSERT prescription for MATHS 162

In this introduction to mathematical modelling and scientific computing, students will learn how to formulate mathematical models and how to solve them using numerical and other methods. This is a core course for students who wish to advance in Applied Mathematics.


(To change a prerequisite or restriction)

2007 Calendar, p. 638

Subject: MATHS 162

Level : Stage I

AMEND prerequisite/restriction for MATHS 362 to

Corequisites: from TO: MATHS 108 or MATHS 150


6. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 202

Level : Stage II

INSERT prescription for MATHS 202

This is a mainly practical course in which selected students learn tutoring skills that are put to use in MATHS 102 tutorials. In a small interactive class, students learn to mark, to question strategically and to facilitate learning. The theory and issues of mathematics education as a research field is also introduced.

Selection: Students are selected for the course on the basis of their academic record, and the results of a personal interview with the lecturer to determine their interest in the course and their communication skills.


7. (To change the prescription of a Course)

2007 Calendar, p. 638

Subject: MATHS 208

Level : Stage II

INSERT prescription for MATHS 208

This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research. Matlab is used to develop analytical and numerical methods of solving problems.


(To change a Prerequisite or Restriction)

2007 Calendar, p.638

Subject: MATHS 208

Level : Stage II

AMEND prerequisite/restriction for MATHS 208 to

Prerequisite: from 15 points from ENGSCI 111, PHYSICS 111 MATHS 108, 150, 151 TO:15 points from ENGSCI 111, PHYSICS 111 MATHS 108, 130, 150, 151, 153

Restriction: from MATHS 230 cannot be taken after MATHS 250, 253, PHYSICS 210, 211 TO:Cannot be taken concurrently or after MATHS 250, 253, PHYSICS 210, 211.

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BCom Finance major, BSc Bioinformatics specialisation, BSc Industrial Mathematics specialisation, BTech Information Technology, BSc Mathematics schedule


8. (To change the prescription of a Course)

2007 Calendar, p. 639

Subject: MATHS 250

Level : Stage II

AMEND title of MATHS 250 to: Advancing Mathematics 2

AMEND title also on the following pages: -

INSERT prescription for MATHS 250

This preparation for advanced courses in mathematics is intended for all students who plan to progress further in mathematics. Covers material from multivariable calculus and linear algebra that has many applications in science, engineering and commerce. The emphasis is on both the results and the ideas underpinning these.


(To change a Prerequisite or Restriction)

2007 Calendar, p.639

Subject: MATHS 250

Level : Stage II

AMEND prerequisite/restriction for MATHS 250 to

Prerequisite: from: 15 points from ENGSCI 111, MATHS 150, 153, PHYSICS 111, or a B pass in MATHS 108 TO: 15 points from ENGSCI 111, MATHS 150, 153, 208, PHYSICS 111, or a B+ pass in MATHS 108

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BA Logic and Computation, BCom, BSc Logic and Computation schedule, BSc Logic and Computation specialization, BSc Mathematics schedule


9. (To change the prescription of a Course)

2007 Calendar, p. 639

Subject: MATHS 253

Level : Stage II

INSERT prescription for MATHS 253

The standard sequel to MATHS 250. It covers topics in linear algebra and multi-variable calculus. It is a foundation for a large number of Stage III courses in mathematics and statistics, and for many advanced courses in physics and other applied sciences. All students intending to advance in mathematics should take this course.


10.(To change the prescription of a Course)

2007 Calendar, p. 639

Subject: MATHS 255

Level : Stage II

INSERT prescription for MATHS 255

An introduction to mathematical thinking and proofs. The emphasis of the course is that it is not only important to find the right answer to a problem but also to be able to convince others (and ourselves) that the answer is correct. MATH255 is an essential course for all students advancing in pure mathematics and many areas of applied mathematics and statistics.


AMEND prerequisite/restriction for MATHS 250 to

Restrictions: from: MATHS 230, PHYSICS 211 TO -

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BSc Mathematics schedule, BSc Industrial Mathematics specialization


11. (To change a Prerequisite or Restriction)

2007 Calendar, p.639

Subject: MATHS 260

Level : Stage II

AMEND prerequisite/restriction for MATHS 260 to

Prerequisite: from: MATHS 150 or 208 TO: 15 points from MATHS 150, 153, 208 or 250 or PHYSICS 111 or at least an A- in MATHS 108

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BSc Applied Maths schedule, BSc Mathematics schedule, BSc Geophysics specialization, BSc Industrial Mathematics specialization


12. (To change the prescription of a Course)

2007 Calendar, p. 639

Subject: MATHS 270

Level : Stage II

INSERT prescription for MATHS 270

Many mathematical models occurring in Science and Engineering cannot be solved exactly using algebra and calculus. This course introduces students to computer-based methods that can be used to find approximate solutions to these problems. The methods covered in the course are powerful yet easy to learn. This is a core course for students who wish to advance in Applied Mathematics.


13. (To change the prescription of a Course)

2007 Calendar, p. 639

Subject: MATHS 302

Level : Stage III

Amend title of MATHS 302 to Teaching and Learning Mathematics

Amend title also on the following pages: -

INSERT prescription for MATHS 302

For people interested in thinking about the social, cultural, political, economic, historical, technological and theoretical ideas that influence mathematics education. Students who want to understand the forces that shaped their own mathematics education or who are interested in teaching will enjoy this course. Students will develop the ability to communicate ideas in essay form.


14.


(To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 320

Level : Stage III

INSERT prescription for MATHS 320

This is a framework for a unified treatment of many different mathematical structures. It concentrates on the fundamental notions of groups, rings and fields. The abstract descriptions are accompanied by numerous concrete examples. Applications abound:symmetries, geometry, coding theory, cryptography and many more. This is a vital course for those planning graduate study in pure mathematics.


15. (To change the prescription of a Course)

2007 Calendar, p. 639

Subject: MATHS 315

Level : Stage III

INSERT prescription for MATHS 315

Logic addresses the foundations of mathematical reasoning. It models the process of mathematical proof by providing a setting and the rules of deduction. Builds a basic understanding of first order predicate logic, it introduces model theory and demonstrates how models of a first order system relate to mathematical structures. The course is vital for anyone studying high level computer science or mathematical logic. (To change a Prerequisite or Restriction)


2007 Calendar, p. 639

Subject: MATHS 315

Level : Stage III

AMEND prerequisite/restriction for MATHS 315 to

Prerequisite: from COMPSCI 225 or MATHS 255 TO: COMPSCI 225 or MATHS 255 or PHIL 222

OTHER Subjects/majors/specialisations in which Course occurs: BA Logic and Computation, BSc Logic and Computation, specialization, BSc Logic and Computation schedule,


16.


(To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 326

Level : Stage III

INSERT prescription for MATHS 326

Combinatorics is a branch of mathematics that studies collections of objects that satisfy specified criteria. An important part of combinatorics is graph theory, which is now connected to other disciplines including bioinformatics, electrical engineering, molecular chemistry and social science. The use of combinatorics in solving counting and construction problems is covered using topics that include algorithmic graph theory, codes and incidence structures, and combinatorial complexity.


17.


(To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 328

Level : Stage III

INSERT prescription for MATHS 328

The goal of this course is to show the power of algebra and number theory in the real world. It concentrates on concrete objects like polynomial rings, finite fields, groups of points on elliptic curves, studies their elementary properties and shows their exceptional applicability to various problems in information technology including cryptography, secret sharing, and reliable transmission of information through an unreliable channel.


18. (To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 332

Level : Stage III

AMEND title of MATHS 332 to: Real Analysis AMEND title also on the following pages:: -

INSERT prescription for MATHS 332

A standard course for every student intending to advance in pure mathematics. It develops the foundational mathematics underlying calculus, it introduces a rigorous approach to continuous mathematics and fosters an understanding of the special thinking and arguments involved in this area. The main focus is analysis in one real variable with the topics including real fields, limits and continuity, Riemann integration and power series.


19.(To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 333

Level : Stage III

AMEND title of MATHS 333 to: Analysis in Higher Dimensions

AMEND title also on the following pages: -

INSERT prescription for MATHS 333

By selecting the important properties of distance many different mathematical contexts are studied simultaneously in the framework of metric and normed spaces. Examines carefully the ways in which the derivative generalises to higher dimensional situations. These concepts lead to precise studies of continuity, fixed points and the solution of differential equations. A recommended course for all students planning to advance in pure mathematics.


20.(To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 340

Level : Stage III

AMEND title of MATHS 340 to: Real and Complex Calculus AMEND title also on the following pages: [list all Calendar pages where course title appears]

INSERT prescription for MATHS 340

Calculus plays a fundamental role in mathematics, answering deep theoretical problems and allowing us to solve very practical problems. Extends the ideas of calculus to two and higher dimensions, showing how to calculate integrals and derivatives in higher dimensions and exploring special relationships between integrals of different dimensions. It also extends calculus to complex variables.


21. (To delete a course)

2007 Calendar, p. 640

Subject: Mathematics

Level : Stage III

DELETE entry for course MATHS 347 Advanced calculus

Subjects/majors/specialisations in which Course occurs:

BSc Majors: Mathematics, Applied Mathematics Specialisations: Bioinformatics, Industrial Mathematics

BA Major: Mathematics


22. (To change the prescription of a Course) 2007 Calendar, p. 640

Subject: MATHS 361

Level : Stage III

AMEND title of MATHS 361 to: Partial Differential Equations AMEND title also on the following pages: [list all Calendar pages where course title appears]

INSERT prescription for MATHS 361

Partial differential equations are used to model many important phenomena in the real world (such as heat flow and wave motion). An introductory course on methods of solution for linear partial differential equations in one, two and three dimensions.


23.(To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 362

Level : Stage III

AMEND title of MATHS 362 to: Methods in Applied Mathematics

AMEND title also on the following pages: [list all Calendar pages where course title appears]

INSERT prescription for MATHS 362

Techniques such as variational methods, Green's functions, and perturbation analysis are a crucial part of the applied mathematician's toolbox. This course will cover a selection of such advanced topics in detail, and is suitable for those students intending to advance in applied mathematics or physics.

(To change a Prerequisite or Restriction)

2007 Calendar, p. 640

Subject: MATHS

Level : Stage III

AMEND prerequisite/restriction for MATHS 362 to

Prerequisite: from MATHS 260, 253, or equivalent, or PHYSICS 211TO: Either MATHS 260 and MATHS 253 or equivalent; or Physics 211

Recommended preparation from Recommended prior pass in MATHS 361 TO: MATHS 361 and MATHS 340

Restriction: from - TO: MATHS 347

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BSc Applied Maths schedule, BSc Industrial Mathematics specialization, BSc Applied mathematics major, BSc Mathematics Major


24. (To change the prescription of a Course)

2007 Calendar, p. 640

Subject: MATHS 363

Level : Stage III

AMEND title of MATHS 363 to: Advanced Modelling and Computation

AMEND title also on the following pages: [list all Calendar pages where course title appears]

INSERT prescription for MATHS 363

Much of modern research in applied mathematics, physics and engineering relies heavily on the construction and numerical solution of mathematical models. This course covers the theory and practice of such computational approaches, including the study of numerical linear algebra and differential equations, and bifurcations in ordinary differential equations. Matlab is used extensively.


(To change a Prerequisite or Restriction)

2007 Calendar, p. 640

Subject: MATHS

Level : Stage III

AMEND prerequisite/restriction for MATHS 363 to

Prerequisite: from MATHS 260 and either MATHS 270 or 267 or B+ or better in MATHS 260 or 267TO: Either Maths 260 and Maths 270, or B+ in Maths 260, or Physics 211.

OTHER Subjects/majors/specialisations in which Course occurs: BA Mathematics, BSc Applied Maths schedule, BSc Industrial Mathematics specialization, BSc Applied mathematics major, BSc Mathematics Major, BSc Bioinformatics specializations

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