Students

MATH130 – Mathematics IE

2018 – S1 Day

General Information

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Unit convenor and teaching staff Unit convenor and teaching staff Unit Convenor
Jillian Stott
Contact via jillian.stott@mq.edu.au
12 Wally's Walk E7A
To be announced
Jillian Stott
Rod Yager
Credit points Credit points
3
Prerequisites Prerequisites
Corequisites Corequisites
Co-badged status Co-badged status
Unit description Unit description
This unit is an elementary unit designed for Engineering, Mathematics and Physics students whose mathematics background has not met the recommended standard for students entering these programs. The unit provides a basic introduction to the ideas and techniques of differentiation and integration which are pervasive in the theoretical models that underpin most areas of science, engineering, economics and technology. The unit also has a strong focus on developing the algebraic skills and techniques commonly associated with the application of these ideas. Students who have not studied mathematics for several years should consult the Learning Centre for Numeracy Skills regarding refresher courses.

Important Academic Dates

Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates

Learning Outcomes

On successful completion of this unit, you will be able to:

  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

General Assessment Information

HURDLES: Attendance at, and reasonable engagement in, tutorials in all first year mathematics units is compulsory. Participation will be assessed by tutors via rosters and observation of students' work during classes. Attendance and reasonable engagement in the class activities in, at least 10 out of 12 of the tutorial classes are requirements to pass the unit.

ATTENDANCE AND PARTICIPATION: Please contact the unit convenor as soon as possible if you have difficulty attending and participating in any classes. There may be alternatives available to make up the work. If there are circumstances that mean you miss a class, you can apply for  a disruption to study.

IMPORTANT: If you apply for Disruption to Study for your final examination, you must make yourself available for the Supplementary Examination as organised by the Faculty of Science &Engineering. 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 Hurdle Due
Three Assignments 30% No See iLearn
Tutorial Homework 20% No Weekly
Final examination 50% No University Examination Period

Three Assignments

Due: See iLearn
Weighting: 30%

Assignments


On successful completion you will be able to:
  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Tutorial Homework

Due: Weekly
Weighting: 20%

Tutorial homework based on the previous tutorial class


On successful completion you will be able to:
  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Final examination

Due: University Examination Period
Weighting: 50%

Two hour closed book exam.


On successful completion you will be able to:
  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Delivery and Resources

Required text on calculus topics is

Calculus - single & multivariableHughes-Hallett, Gleason & McCallum,  2013 (6th edition), John Wiley. See http://www.wileydirect.com.au/buy/calculus-single-multivariable-7th-edition/

Recommended texts on elementary and algebra topics are

  • Free books by Stitz and Zeager at http://stitz-zeager.com/
  • Numeracy Centre notes on introductory concepts and techniques that are assumed knowledge for MATH130. These notes also cover some of the material in MATH130. Students who have not studied maths for several years, or who did HSC General Mathematics always find these notes helpful.
  • - Calculus, Strang, MIT. Available here.

 

Classes

Lectures: Four hours per week (2 hours in the calculus stream, and 2 hours in the algebra stream).

Tutorials: You must attend and participate in at least 10 of the 12 weekly tutorial classes to pass this unit.

Technology: Students are expected to have access to an internet enabled computer with a web browser and Adobe Reader software. Several areas of the university provide wireless access for portable computers. There are computers for student use 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

Algebra

Calculus

1

Notation, Modelling & Algebraic Skills    

Lines & Linear Models

2

Algebraic Skills

Functions

3

Quadratics, Parabolas & Exponentials

Differential Calculus:Limits, First Principles & Rules

4

Exponential & Logarithmic Functions

Differential Calculus:Rules, Tangents, Higher Order Derivatives

5

Trigonometry

No Calculus Lectures (Good Friday)

6

Trigonometry

Differential Calculus:Curve Sketching

7

Trigonometry

Differential Calculus: Applications of Differential Calculus

8

Proportions & Percentages

Differential Calculus:Exponential, Logarithmic & Trigonometric Functions

9

Polynomials

Differential Calculus: Applications of Differential Calculus

10

Polynomials & Inequalities

Integral Calculus: Upper & lower sums, The Definite Integral

11

Inequalities & Sequences

Integral Calculus: The Fundamental Theorem, Antiderivatives

12

Series

Integral Calculus: Substitution, Applications & Numerical Integration

13

Revision

Revision

Learning and Teaching Activities

Lectures

There will be four one hour lectures per week, where the concepts are introduced, explained and illustrated. During these the content of the unit will be explained and example problems will be solved and applications in other disciplines discussed.

Tutorial classes

There is a one-hour tutorial class each week. During this time students will discuss problems related to the previous week's lecture content and work through similar problems.

Policies and Procedures

Macquarie University policies and procedures are accessible from Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policy-central). Students should be aware of the following policies in particular with regard to Learning and Teaching:

Undergraduate students seeking more policy resources can visit the Student Policy Gateway (https://students.mq.edu.au/support/study/student-policy-gateway). It is your one-stop-shop for the key policies you need to know about throughout your undergraduate student journey.

If you would like to see all the policies relevant to Learning and Teaching visit Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/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/study/getting-started/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.

Late Assignments

In the case of the late submission of an assignment, if no special consideration has been granted, 10% of the earned mark will be deducted for each day that the assignment is late, up to a maximum of 50%. After 5 days, including weekends and public holidays, a mark of 0% will be awarded for the assignment.

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 Services and 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.

Student Enquiries

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

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

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 outcomes

  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Assessment tasks

  • Three Assignments
  • Tutorial Homework
  • Final examination

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 outcomes

  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Assessment task

  • Final examination

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 outcomes

  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Assessment task

  • Final examination

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 outcomes

  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Assessment tasks

  • Three Assignments
  • Tutorial Homework
  • Final examination

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 outcomes

  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Assessment tasks

  • Three Assignments
  • Tutorial Homework
  • Final examination

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 outcomes

  • Develop a good understanding and demonstrate knowledge of the basic concepts of elementary algebra, and calculus in one variable.
  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Demonstrate appropriate interpretation of information communicated in mathematical form. Be able to understand what is being said in mathematical expressions and be able to formulate ideas using mathematical form in the context of introductory calculus and algebra.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Assessment tasks

  • Three Assignments
  • Tutorial Homework
  • Final examination

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 outcomes

  • Be able to apply the principles, concepts, and techniques learned in this unit to solve practical and abstract problems.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.
  • At the end of this unit students will be able to: Demonstrate foundational learning skills including active engagement in their learning process.

Assessment tasks

  • Three Assignments
  • Final examination

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 outcomes

  • Demonstrate the ability to construct logical, clearly presented and justified mathematical arguments at an elementary level especially in the context basic calculus and algebra.
  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.
  • Understand the relevance of mathematics to science, and demonstrate the ability to communicate this to a general audience.

Assessment tasks

  • Three Assignments
  • Final examination

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 outcomes

  • Ethical application of mathematical approaches to solving problems and appropriately reference and acknowledge sources in a mathematical context.
  • Be able to work effectively, responsibly and safely in an individual or team context.

Assessment task

  • Final examination

Changes since First Published

Date Description
20/02/2018 Calculus text book changed from 6th edition to 7th edition