| | LaTrobe UniversityMAT3CA, 2010| Unit Code: | MAT3CA | | Unit Short Title: | COMPLEX ANALYSIS | | Credit Points: | 15.0 | | Unit Description: | The development of the theory of functions of a complex variable provides a fascinating example of how initial vague and uncertain ideas can be turned into a powerful and rigorous theory with far-ranging applications. The key aspects of this development are studied, from the first attempts to satisfactorily define and manipulate complex numbers, to the immense contribution of mathematicians such as Cauchy in the 19th century and finally to the modern era, where the advent of high speed computers has brought mathematics to a wide audience. | | Prerequisites: | MAT2CC | | Class Requirements: | three 1-hour lectures and one 1-hour tutorial per week. | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| 3-hour examination | 70 | | | two problem-based assignments, each equivalent to 750 words (each 15%) | 30 | |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Recommended | Complex variables and applications | Brown, J.W., Churchill, R.V. 2009 | 8th edn, McGraw-Hill, Boston. |
Unit Streams: | Teaching Period | Unit Class | Location |
|---|
| 2 26-JUL-10 29-OCT-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
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| Dr | Simon | Smith | BENDIGO | Y |
MAT3DS, 2010| Unit Code: | MAT3DS | | Unit Short Title: | DISCRETE ALGEBRAIC STRUCTURES | | Credit Points: | 15 | | Special Conditions: | Assessment and class requirements depend upon number of students enrolled. If more than 16 students enrolled, assessment will be one 3-hour examination (80%), four assignments (20%) and class requirements: three 1-hour lectures per week. | | Unit Description: | This unit is a continuation and expansion of MAT2PDM/MAT2ALL. Further applications of finite groups to counting problems will be given. Finite fields and their applications will be discussed. The applications of ring theory to the classification of cyclic codes will be presented. Approximately half the unit will be devoted to ordered sets, lattices and Boolean algebras. Applications of lattices to concept analysis and applications of ordered sets to computer science will be discussed. | | Prerequisites: | MAT2PDM or MAT2AAL | | Class Requirements: | three 1-hour problem sessions per week | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| one 2-hour examination | 60 | | | six assignments (one per fortnight) equivalent to 1,750-words in total | 40 | To pass the unit students must obtain a pass grade in the examination, attend at least 80% of all classes and pass all assignments. |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Prescribed | Introduction to lattices and order | Davey, B.A. and Priestley, H.A. | Second Edition, Cambridge University Press, 2001 |
Unit Streams: | Teaching Period | Unit Class | Location |
|---|
| 2 26-JUL-10 29-OCT-10 | Day | BUNDOORA | | 2 26-JUL-10 29-OCT-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
|---|
| Dr | Marcel | Jackson | BUNDOORA | Y |
STA3EXD, 2010| Unit Code: | STA3EXD | | Unit Short Title: | EXPERIMENTAL DESIGN | | Credit Points: | 15.0 | | Unit Description: | The design of experiments is a branch of statistics which has many applications, especially in the experimental sciences, psychology and education. Topics include basic concepts in experimental design, randomisation, blocking and replication and the analysis of variance for factorial and repeated measures designs. Extensive use of statistical packages is a feature of this unit. | | Prerequisites: | STA1STM | | Class Requirements: | two 1-hour lectures and two 1-hour tutorials per week. | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| one 3-hour examination | 70 | | | one calculation-based assignment (equivalent to 1,500 words) | 30 | |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Prescribed | Design of experiments | Kuehl, R. | 2nd edn., Duxbury Press, 2000. |
Unit Streams: | Teaching Period | Unit Class | Location |
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| 1 01-MAR-10 04-JUN-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
|---|
| Dr | Graeme | Byrne | BENDIGO | Y |
STA3MA, 2010| Unit Code: | STA3MA | | Unit Short Title: | MULTIVARIATE ANALYSIS | | Credit Points: | 15 | | Unit Description: | Most statistical problems involve many variables and therefore multivariate data analysis has an enormous range of applications. After reviewing key aspects of statistical methods for one variable and multiple regression, students are introduced to common multivariate statistical methods: screening and describing multivariate data, principal component analysis, factor analysis, cluster analysis and logistic regression. En route, you will encounter the multivariate Normal distribution, learn about matrix algebra and how to use SPSS for multivariate data analysis. | | Prerequisites: | MAT2LIN and either STA2FOR or STA3EXD | | Class Requirements: | two 1-hour lectures and one 1-hour computer laboratory per week | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| one 1,000-word assignment | 25 | | | one 2,000-word assignment | 50 | | | verbal presentation to the class (20 minutes) | 25 | |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Prescribed | Analysing multivariate data | Lattin, J.M., Carroll, J.D. and Green, P.E., 2003 | Thomas Brooks/Cole, Pacific Grove, CA. |
Unit Streams: | Teaching Period | Unit Class | Location |
|---|
| 2 26-JUL-10 29-OCT-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
|---|
| Dr | Graeme | Byrne | BENDIGO | Y |
MAT2NAG / MAT3NAG, 2010| Unit Code: | MAT2NAG | | Alternative Unit Code: | MAT3NAG | | Unit Short Title: | NETWORKS AND GRAPHS | | Credit Points: | 15 | | Unit Description: | Graphs are made up of points together with lines joining some of those points. In addition to their intrinsic interest, graphs are used to model the structures of objects as diverse as molecules, sentences, communications networks, and silicon chips. We will explore these models as well as the underlying mathematical structures. Algorithms are fundamental to the subject, for example, communications networks rely heavily on algorithms which minimise costs or maximise efficiency, while sorting and searching are ubiquitous in databases. Particular applications will depend on the interests of the class. This unit is particularly suitable for computing, mathematics and engineering students. | | Prerequisites: | MAT1DIS or MAT1CA | | Class Requirements: | four hours of lectures and workshops per week | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| three major problem-based assignments (each equivalent to 1,000 words) (25% each) | 75 | Third year students will be expected to demonstrate a greater degree of subject understanding and discipline specific skills in their written work. | | one 1,000-word essay | 25 | Third year students will be expected to demonstrate a greater degree of subject understanding and discipline specific skills in their work. |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Prescribed | Graphs and Applications: An introductory approach. | Aldous, J.M. and Wilson, R.J. | Springer, London, New York, 2000. |
Unit Streams: | Teaching Period | Unit Class | Location |
|---|
| 1 01-MAR-10 04-JUN-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
|---|
| Dr | Christopher | Lenard | BENDIGO | Y |
MAT3NM, 2010| Unit Code: | MAT3NM | | Unit Short Title: | NUMERICAL MATHEMATICS | | Credit Points: | 15.0 | | Unit Description: | Students are introduced to a wide variety of concepts and methods in computational mathematics. Topics covered are solutions of non-linear equations, interpolation, smoothing and optimisation, numerical integration, numerical linear algebra, and solutions of ordinary differential equations. Use is made of modern computer packages to illustrate key aspects of these numerical problems and to facilitate their solution. | | Prerequisites: | MAT2CC | | Class Requirements: | four 1-hour workshop classes per week. | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| one 3-hour examination | 60 | | | two calculation-based assignments, each equivalent to 750 words (each 20%) | 40 | |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Prescribed | Numerical Mathematics | Champion, R. & Mills, T. | (to be provided by the lecturer) |
Unit Streams: | Teaching Period | Unit Class | Location |
|---|
| 1 01-MAR-10 04-JUN-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
|---|
| Dr | Robert | Champion | BENDIGO | Y |
MAT3TIM, 2010| Unit Code: | MAT3TIM | | Unit Short Title: | TOPICS IN MATHEMATICS | | Credit Points: | 15.0 | | Special Conditions: | Students wishing to enrol in this unit must seek approval from the Deputy Head of the Department of Mathematics and Statistics. | | Unit Description: | This unit provides an opportunity for advanced students to study a suitable topic in mathematics which is not covered in other subjects offered by the Department of Mathematics. The topic will depend on the interests of students and available staff. | | Prerequisites: | successful completion of 30 credit points of mathematics units at second year level and permission of the Head of the Department of Mathematics and Statistics. | | Class Requirements: | 3 hours of lectures per week | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| either two calculation-based assignments (each 50%) | 100 | equivalent to 2,000 words each | | or two calculation-based assignments (each 40%) | 80 | equivalent to 1,500 words each | | and one 20-minute presentation | 20 | |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Prescribed | | Texts will be advised upon unit commencement. | |
Unit Streams: | Teaching Period | Unit Class | Location |
|---|
| 1 01-MAR-10 04-JUN-10 | Day | BENDIGO | | 2 26-JUL-10 29-OCT-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
|---|
| Dr | Simon | Smith | BENDIGO | Y |
STA3TIS, 2010| Unit Code: | STA3TIS | | Unit Short Title: | TOPICS IN STATISTICS | | Credit Points: | 15.0 | | Special Conditions: | Students wishing to enrol in this unit must seek approval from the Deputy Head of the Department of Mathematics and Statistics. | | Unit Description: | This unit provides an opportunity for students to study a suitable topic in applied statistics which is not covered in other subjects offered by the Department of Mathematics and Statistics. The topic will depend on the interests of students and available staff. | | Prerequisites: | successful completion of 30 credit points of statistics subjects at second year level and permission of the Head of the Department of Mathematics and Statistics. | | Class Requirements: | three hours of lectures per week | | Work Experience Indicator: | Not undertaking work experience in industry | | Available to 'Study Abroad' students: | Y |
Assessment: | Assessment Type | % | Comments |
|---|
| either two calculation-based assignments (each 50%) | 100 | equivalent to 2,000 words each | | or two calculation-based assignments (each 40%) | 80 | equivalent to 1,500 words each | | and one 20-minute presentation | 20 | |
Readings: | Reading Type | Title | Author | Publisher |
|---|
| Preliminary | | Texts will be advised upon subject commencement. | | | Preliminary | | Texts will be advised upon subject commencement. | |
Unit Streams: | Teaching Period | Unit Class | Location |
|---|
| 1 01-MAR-10 04-JUN-10 | Day | BENDIGO | | 2 26-JUL-10 29-OCT-10 | Day | BENDIGO |
Unit Coordinators: | Title | First Name | Last Name | Location | Primary Coordinator |
|---|
| Dr | Simon | Smith | BENDIGO | Y |
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