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MATH236 – Mathematics IIB

2017 – S2 Day

General Information

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Unit convenor and teaching staff Unit convenor and teaching staff Unit Convenor
Ji Li
Contact via 98506146
Room 710, Building E7A
Lecturer
Christopher Green
Contact via to be advised
to be advised
to be advised
Lecturer
Catherine Penington
Contact via to be advised
to be advised
to be advised
Christopher Green
Credit points Credit points
3
Prerequisites Prerequisites
MATH235
Corequisites Corequisites
Co-badged status Co-badged status
Unit description Unit description
This unit deals with two of the most fundamental concepts in analysis – complex analysis and vector analysis. Complex analysis is the study of complex-valued functions of complex variables. Two approaches to the study of complex-valued functions of one complex variable are discussed. The first of these, usually attributed to Riemann, is based on differentiation and involves pairs of partial differential equations called the Cauchy-Riemann equations. The second approach, usually attributed to Cauchy, is based on integration and depends on a fundamental theorem known nowadays as Cauchy's integral theorem. The concept of vector analysis provides the tools for modelling physical phenomena such as fluid flow, electromagnetic and other field-based theories. We consider vector fields and integrals over paths and surfaces, and develop an understanding of the famous integration theorems of Green, Stokes and Gauss. These theorems transform physical laws expressed in differential form to integral form.

Important Academic Dates

Information about important academic dates including deadlines for withdrawing from units are available at http://students.mq.edu.au/student_admin/enrolmentguide/academicdates/

Learning Outcomes

  1. 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

General Assessment Information

General Assessment Information HURDLES: 

 

This unit has no hurdle requirements. This means that there are no second chance examinations and assessments if you happen to fail at your first attempt, and your final grade is determined by adding the marks obtained for your examinations and assessments. Students should aim to get at least 60% for the course work in order to be reasonably confident of passing the unit. IMPORTANT: If you apply for Disruption to Study for your final examination, you must make yourself available for the week of December 11 – 15, 2017.  If you are not available at that time, there is no guarantee an additional examination time will be offered. Specific examination dates and times will be determined at a later date

Assessment Tasks

Name Weighting Due
Three assignments 30% week 4, week 8, week 12
One Test 20% week 8
Final Exam 50% exam period

Three assignments

Due: week 4, week 8, week 12
Weighting: 30%

Due: week 4, week 8 week 12 Weighting: 30% 

Problem based assignments

This Assessment Task relates to the following Learning Outcomes:

  • Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis.
  • Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences.
  • Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning.
  • Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis.
  • Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems.
  • Appropriate interpretation of information communicated in mathematical form.
  • Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert).
  • Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings.
  • Ability to work effectively, responsibly and safely in an individual or team context.

This Assessment Task relates to the following Learning Outcomes:
  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

One Test

Due: week 8
Weighting: 20%

   Due: week 8 Weighting: 20% 

Mid Semester test

This Assessment Task relates to the following Learning Outcomes:

  • Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis.
  • Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences.
  • Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning.
  • Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis.
  • Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems.
  • Appropriate interpretation of information communicated in mathematical form.
  • Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert).
  • Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings.
  • Ability to work effectively, responsibly and safely in an individual or team context.

This Assessment Task relates to the following Learning Outcomes:
  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Final Exam

Due: exam period
Weighting: 50%

  Due: exam period Weighting: 50% 

The final exam contains two parts.

This Assessment Task relates to the following Learning Outcomes:

  • Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis.
  • Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences.
  • Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning.
  • Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis.
  • Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems.
  • Appropriate interpretation of information communicated in mathematical form.
  • Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert).
  • Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings.
  • Ability to work effectively, responsibly and safely in an individual or team context.

This Assessment Task relates to the following Learning Outcomes:
  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Delivery and Resources

Classes

Lectures: you should attend two hours of each lecture stream each week, making a total of four hours.

Tutorials: you should attend one tutorial each week.

Required and Recommended Texts and/or Materials

The online notes are intended primarily as a source of reference. These are not intended to be treated as the only source for learning.

The following texts provide useful references for various sections of the course:

  • Churchill and Brown; Complex variables and applications, (McGraw–Hill)  library call number QA331 .C524
  • Marsden and Tromba; Vector Calculus, (Wiley)  library call number QA303 .M338

Other similar texts are available in the Library.

Difficulties with your home computer or internet connection do not constitute a reasonable excuse for lateness of, or failure to submit, assessment tasks.

Unit Schedule

WEEK

COMPLEX ANALYSIS

VECTOR CALCULUS

TASK DUE

1

Complex numbers, polar representation, polynomials, functions

Paths

 

2

Sequences and limits, series

   

3

Series and convergence tests

Vector Fields

 

4

Exponential, logarithm and trigonometric functions

 

Assignment 1

5

Continuity and differentiation, Cauchy-Riemann equations

Integrals over paths

 

6

Harmonic functions, power series

 

Assignment 2

7

Contours and contour integrals, path independence

Parametrised surfaces

 

 

MID-SEMESTER BREAK

   

8

Cauchy's Theorem, Cauchy's Integral Formula

Integrals over surfaces

Test

9

Applications, Liouville's Theorem, Fundamental Theorem of Algebra

  Assignment 3

10

Singularities, residues, Taylor and Laurent series

Integration theorems: Green's theorem, Stokes' thorem and Gauss' theorem

 

11

Evaluation of trigonometric integrals

  Assignment 4

12

Further evaluation of real integrals

 

 

13

Revision

Revision

Assignment 5

 

Learning and Teaching Activities

Lectures

2 of two-hour lectures per week

Tutorial

1 one-hour tutorial per week

Policies and Procedures

Macquarie University policies and procedures are accessible from Policy Central. Students should be aware of the following policies in particular with regard to Learning and Teaching:

Academic Honesty Policy http://mq.edu.au/policy/docs/academic_honesty/policy.html

Assessment Policy http://mq.edu.au/policy/docs/assessment/policy_2016.html

Grade Appeal Policy http://mq.edu.au/policy/docs/gradeappeal/policy.html

Complaint Management Procedure for Students and Members of the Public http://www.mq.edu.au/policy/docs/complaint_management/procedure.html​

Disruption to Studies Policy http://www.mq.edu.au/policy/docs/disruption_studies/policy.html The Disruption to Studies Policy is effective from March 3 2014 and replaces the Special Consideration Policy.

In addition, a number of other policies can be found in the Learning and Teaching Category of Policy Central.

Student Code of Conduct

Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/support/student_conduct/

Results

Results shown in iLearn, or released directly by your Unit Convenor, are not confirmed as they are subject to final approval by the University. Once approved, final results will be sent to your student email address and will be made available in eStudent. For more information visit ask.mq.edu.au.

Student Support

Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/

Learning Skills

Learning Skills (mq.edu.au/learningskills) provides academic writing resources and study strategies to improve your marks and take control of your study.

Student Enquiry Service

For all student enquiries, visit Student Connect at ask.mq.edu.au

Equity Support

Students with a disability are encouraged to contact the Disability Service who can provide appropriate help with any issues that arise during their studies.

IT Help

For help with University computer systems and technology, visit http://www.mq.edu.au/about_us/offices_and_units/information_technology/help/

When using the University's IT, you must adhere to the Acceptable Use of IT Resources Policy. The policy applies to all who connect to the MQ network including students.

Graduate Capabilities

Discipline Specific Knowledge and Skills

Our graduates will take with them the intellectual development, depth and breadth of knowledge, scholarly understanding, and specific subject content in their chosen fields to make them competent and confident in their subject or profession. They will be able to demonstrate, where relevant, professional technical competence and meet professional standards. They will be able to articulate the structure of knowledge of their discipline, be able to adapt discipline-specific knowledge to novel situations, and be able to contribute from their discipline to inter-disciplinary solutions to problems.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Problem Solving and Research Capability

Our graduates should be capable of researching; of analysing, and interpreting and assessing data and information in various forms; of drawing connections across fields of knowledge; and they should be able to relate their knowledge to complex situations at work or in the world, in order to diagnose and solve problems. We want them to have the confidence to take the initiative in doing so, within an awareness of their own limitations.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Effective Communication

We want to develop in our students the ability to communicate and convey their views in forms effective with different audiences. We want our graduates to take with them the capability to read, listen, question, gather and evaluate information resources in a variety of formats, assess, write clearly, speak effectively, and to use visual communication and communication technologies as appropriate.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Capable of Professional and Personal Judgement and Initiative

We want our graduates to have emotional intelligence and sound interpersonal skills and to demonstrate discernment and common sense in their professional and personal judgement. They will exercise initiative as needed. They will be capable of risk assessment, and be able to handle ambiguity and complexity, enabling them to be adaptable in diverse and changing environments.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Critical, Analytical and Integrative Thinking

We want our graduates to be capable of reasoning, questioning and analysing, and to integrate and synthesise learning and knowledge from a range of sources and environments; to be able to critique constraints, assumptions and limitations; to be able to think independently and systemically in relation to scholarly activity, in the workplace, and in the world. We want them to have a level of scientific and information technology literacy.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Creative and Innovative

Our graduates will also be capable of creative thinking and of creating knowledge. They will be imaginative and open to experience and capable of innovation at work and in the community. We want them to be engaged in applying their critical, creative thinking.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Engaged and Ethical Local and Global citizens

As local citizens our graduates will be aware of indigenous perspectives and of the nation's historical context. They will be engaged with the challenges of contemporary society and with knowledge and ideas. We want our graduates to have respect for diversity, to be open-minded, sensitive to others and inclusive, and to be open to other cultures and perspectives: they should have a level of cultural literacy. Our graduates should be aware of disadvantage and social justice, and be willing to participate to help create a wiser and better society.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Socially and Environmentally Active and Responsible

We want our graduates to be aware of and have respect for self and others; to be able to work with others as a leader and a team player; to have a sense of connectedness with others and country; and to have a sense of mutual obligation. Our graduates should be informed and active participants in moving society towards sustainability.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Commitment to Continuous Learning

Our graduates will have enquiring minds and a literate curiosity which will lead them to pursue knowledge for its own sake. They will continue to pursue learning in their careers and as they participate in the world. They will be capable of reflecting on their experiences and relationships with others and the environment, learning from them, and growing - personally, professionally and socially.

This graduate capability is supported by:

Learning outcome

  • 1. Demonstrate a well-developed knowledge of the principles, concepts and techniques of a broad range of areas in vector calculus and complex analysis. 2. Understanding of the breadth of the discipline, its role in other fields, and the way other fields contribute to the development of the mathematical sciences. 3. Ability to construct logical, clearly presented and justified mathematical arguments incorporating deductive reasoning. 4. Ability to formulate and model practical and abstract problems in mathematical terms using a variety of methods from vector calculus and complex analysis. 5. Application of mathematical principles, concepts, techniques and technology to solve practical and abstract problems. 6. Appropriate interpretation of information communicated in mathematical form. 7. Appropriate presentation of information, reasoning and conclusions in a variety of modes to diverse audiences (expert and non-expert). 8. Demonstrate an understanding of ethical issues relating to professional mathematical work, identify and address ethical issues arising in such professional work and make ethical decisions while collecting and analysing data and reporting findings. 9. Ability to work effectively, responsibly and safely in an individual or team context.

Assessment tasks

  • Three assignments
  • One Test
  • Final Exam

Learning and teaching activities

  • 2 of two-hour lectures per week
  • 1 one-hour tutorial per week

Changes since First Published

Date Description
13/07/2017 Deleted the information referring students to the computers in the Numeracy Centre