Students

MATH1000 – Introduction to Mathematical Modelling

2022 – Session 2, In person-scheduled-weekday, North Ryde

General Information

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Unit convenor and teaching staff Unit convenor and teaching staff Unit convenor/lecturer
Elena Vynogradova
Contact via by email
12 Wally’s Walk, office 709
See iLearn
Lecturer
Ji Li
Contact via by email
12 Wally’s Walk, office 710
See iLearn
Credit points Credit points
10
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. One half of the unit provides an introduction to the ideas and techniques of differentiation and integration which are pervasive in the theoretical and practical models that underpin areas of science, engineering, economics and technology. The other half of the unit develops the algebraic skills and techniques including exponential, logarithmic, and trigonometric functions.

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:

  • ULO1: Perform calculations, including rates of changes and integrals, of elementary functions used in science and economics (including linear, polynomial, exponential, logarithmic, and trigonometric) and interpret results of these calculations.
  • ULO2: Communicate mathematical concepts, pertaining to foundation level science topics, in a variety of forms including graphically, numerically, in writing and by using equations.
  • ULO3: Apply mathematical reasoning to simple problem solving in the context of elementary algebra and calculus.
  • ULO4: Test mathematical conjectures involving elementary functions.
  • ULO5: Demonstrate foundational learning skills including active engagement in the learning process.
  • ULO6: Create, communicate and interpret the content of mathematical models relevant to foundation level science topics.

General Assessment Information

HURDLES: All initial assessment tasks are hurdle requirements to pass this unit. Details of the hurdle mark will be provided on the iLearn page of the unit.

TWO LEVEL ASSESSMENT: Each module's initial test will be online, via the iLearn page. Multiple attempts are allowed; the highest mark counts towards the student's grade. For Modules 2-6 inclusive, any student who achieves a sufficiently high mark in the initial test will be eligible to sit the distinction level assessment, which will take place on in the time slot labelled "Lecture 2" on your timetable (see iLearn). Passing these distinction level assessments is required for a grade of D or HD, but not for grades of P or Cr.

Assessment Tasks

Name Weighting Hurdle Due
Module 5 test 20% Yes Week 11
Module 1 test 0% Yes ongoing
Module 3 test 20% Yes Week 7
Module 2 test 20% Yes Week 5
Participation in SGTA classes 0% Yes Ongoing
Module 4 test 20% Yes Week 9
Module 6 test 20% Yes Week 13

Module 5 test

Assessment Type 1: Quiz/Test
Indicative Time on Task 2: 5 hours
Due: Week 11
Weighting: 20%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

 

Set of questions with multiple or short answers required (using words, numerical analysis, graphs and formulas).

 


On successful completion you will be able to:
  • Perform calculations, including rates of changes and integrals, of elementary functions used in science and economics (including linear, polynomial, exponential, logarithmic, and trigonometric) and interpret results of these calculations.
  • Communicate mathematical concepts, pertaining to foundation level science topics, in a variety of forms including graphically, numerically, in writing and by using equations.
  • Apply mathematical reasoning to simple problem solving in the context of elementary algebra and calculus.
  • Test mathematical conjectures involving elementary functions.
  • Demonstrate foundational learning skills including active engagement in the learning process.
  • Create, communicate and interpret the content of mathematical models relevant to foundation level science topics.

Module 1 test

Assessment Type 1: Quiz/Test
Indicative Time on Task 2: 5 hours
Due: ongoing
Weighting: 0%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

 

Set of questions with multiple or short answers required (using words, numerical analysis, graphs and formulas).

 


On successful completion you will be able to:
  • Perform calculations, including rates of changes and integrals, of elementary functions used in science and economics (including linear, polynomial, exponential, logarithmic, and trigonometric) and interpret results of these calculations.
  • Communicate mathematical concepts, pertaining to foundation level science topics, in a variety of forms including graphically, numerically, in writing and by using equations.
  • Apply mathematical reasoning to simple problem solving in the context of elementary algebra and calculus.
  • Test mathematical conjectures involving elementary functions.
  • Demonstrate foundational learning skills including active engagement in the learning process.
  • Create, communicate and interpret the content of mathematical models relevant to foundation level science topics.

Module 3 test

Assessment Type 1: Quiz/Test
Indicative Time on Task 2: 5 hours
Due: Week 7
Weighting: 20%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

 

Set of questions with multiple or short answers required (using words, numerical analysis, graphs and formulas).

 


On successful completion you will be able to:
  • Perform calculations, including rates of changes and integrals, of elementary functions used in science and economics (including linear, polynomial, exponential, logarithmic, and trigonometric) and interpret results of these calculations.
  • Communicate mathematical concepts, pertaining to foundation level science topics, in a variety of forms including graphically, numerically, in writing and by using equations.
  • Apply mathematical reasoning to simple problem solving in the context of elementary algebra and calculus.
  • Test mathematical conjectures involving elementary functions.
  • Demonstrate foundational learning skills including active engagement in the learning process.
  • Create, communicate and interpret the content of mathematical models relevant to foundation level science topics.

Module 2 test

Assessment Type 1: Quiz/Test
Indicative Time on Task 2: 5 hours
Due: Week 5
Weighting: 20%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

 

Set of questions with multiple or short answers required (using words, numerical analysis, graphs and formulas).

 


On successful completion you will be able to:
  • Perform calculations, including rates of changes and integrals, of elementary functions used in science and economics (including linear, polynomial, exponential, logarithmic, and trigonometric) and interpret results of these calculations.
  • Communicate mathematical concepts, pertaining to foundation level science topics, in a variety of forms including graphically, numerically, in writing and by using equations.
  • Apply mathematical reasoning to simple problem solving in the context of elementary algebra and calculus.
  • Test mathematical conjectures involving elementary functions.
  • Demonstrate foundational learning skills including active engagement in the learning process.
  • Create, communicate and interpret the content of mathematical models relevant to foundation level science topics.

Participation in SGTA classes

Assessment Type 1: Participatory task
Indicative Time on Task 2: 0 hours
Due: Ongoing
Weighting: 0%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

 

Students are expected to demonstrate their ability to engage with the unit by participating in SGTA classes.

 


On successful completion you will be able to:
  • Demonstrate foundational learning skills including active engagement in the learning process.

Module 4 test

Assessment Type 1: Quiz/Test
Indicative Time on Task 2: 5 hours
Due: Week 9
Weighting: 20%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

 

Set of questions with multiple or short answers required (using words, numerical analysis, graphs and formulas).

 


On successful completion you will be able to:
  • Perform calculations, including rates of changes and integrals, of elementary functions used in science and economics (including linear, polynomial, exponential, logarithmic, and trigonometric) and interpret results of these calculations.
  • Communicate mathematical concepts, pertaining to foundation level science topics, in a variety of forms including graphically, numerically, in writing and by using equations.
  • Apply mathematical reasoning to simple problem solving in the context of elementary algebra and calculus.
  • Test mathematical conjectures involving elementary functions.
  • Demonstrate foundational learning skills including active engagement in the learning process.
  • Create, communicate and interpret the content of mathematical models relevant to foundation level science topics.

Module 6 test

Assessment Type 1: Quiz/Test
Indicative Time on Task 2: 5 hours
Due: Week 13
Weighting: 20%
This is a hurdle assessment task (see assessment policy for more information on hurdle assessment tasks)

 

Set of questions with multiple or short answers required (using words, numerical analysis, graphs and formulas).

 


On successful completion you will be able to:
  • Perform calculations, including rates of changes and integrals, of elementary functions used in science and economics (including linear, polynomial, exponential, logarithmic, and trigonometric) and interpret results of these calculations.
  • Communicate mathematical concepts, pertaining to foundation level science topics, in a variety of forms including graphically, numerically, in writing and by using equations.
  • Apply mathematical reasoning to simple problem solving in the context of elementary algebra and calculus.
  • Test mathematical conjectures involving elementary functions.
  • Demonstrate foundational learning skills including active engagement in the learning process.
  • Create, communicate and interpret the content of mathematical models relevant to foundation level science topics.

1 If you need help with your assignment, please contact:

  • the academic teaching staff in your unit for guidance in understanding or completing this type of assessment
  • the Writing Centre for academic skills support.

2 Indicative time-on-task is an estimate of the time required for completion of the assessment task and is subject to individual variation

Delivery and Resources

ONLINE MATERIAL: Basic material for the unit will be presented online (access through links on iLearn). Students are expected to work through the material in their own time, before the lectures and SGTAs. All the material required to achieve a Pass or Credit in this unit is available in the online material.

LECTURES: There is 1 timetabled lecture each week, on Wednesdays, which will cover material required to achieve Distinction or High Distinction for this unit.

ASSESSMENT: P/Cr level assessment tasks are available online. The assessment tasks for Distinction/High Distinction level will be timetabled on Fridays (in the slot marked "Lecture 2" in the timetable).

SGTAs: Students should enrol in one 2 hour small group class each week. These classes will discuss solutions to problems presented in lectures and provide students with an opportunity to ask their tutors for assistance with understanding the unit material.

RESOURSES: No single book covers the content of MATH1000 precisely. Each of the following books (see links on the unit iLearn page) contains material useful and relevant to the unit.

'Main textbook (highly recommended but not compulsory) Calculus - single & multi variable, Hughes-Halley, Gleason & McCallum (7th edition), John Wiley. The library allow you to download a significant portion of the book. On the advanced search link for multi search, put in the title "calculus" and the author "Hughes-Hal let", and it is the first result. (You will see "7 versions of this record exist."). Choosing the seventh edition takes you to where you can obtain online access, and download or view pdfs.

As indicated in the title, the text is predominantly calculus. However, Chapter 1 contains excellent material for the algebra part of the unit, covering exponential, logarithms, trigonometry, and polynomials. Later sections in the text cover geometric series.

'Recommended books

1. Active Prelude to Calculus by Boelkins.

2. Active Calculus by Boelkins et al

3. Modeling Life by Garfunkel et al (free download from Macquarie University internet connection)

4. MUMS modules. Material from the Numeracy Centre.

5. Pre calculus by Stitz and Zeager. See 3rd corrected edition.

6. Calculus by Strang.

Unit Schedule

Week Material Assessment Due
1

Module 1: 

  • Sets
  • Algebra Skills
 
2 Module 1 continued  
3

Module 2: 

  • Common functions
  • Domain and range
  • Transformations
  • Compositions
  • Linear functions
  • Quadratics
  • Polynomials Inequalities
 
4 Module 2 continued  
5 Module 3
  • Degrees and radians
  • Unit circle definition
  • Special triangles
  • Trig functions
  • Inverse trig functions
  • Applications

Distinction Test (Module 2)

6 Module 3 continued  
7 Module 4
  • Rates of change
  • Derivative rules
  • The second derivative
  • Curve sketching
  • Applications
Distinction Test (Module 3)
8 Module 4 continued  
9 Module 5
  • Proportionality
  • Exponentials
  • Logarithms
  • Series and Sequences
  • Applications
Distinction Test (Module 4)
10 Module 5 continued  
11 Module 6: 
  • Numerical integration
  • Fundamental theorem of calculus
  • Integration by substitution
  • Applications
Distinction Test (Module 5)
12 Module 6 continued  
13   Distinction Test (Module 6)

Policies and Procedures

Macquarie University policies and procedures are accessible from Policy Central (https://policies.mq.edu.au). Students should be aware of the following policies in particular with regard to Learning and Teaching:

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

To find other policies relating to Teaching and Learning, visit Policy Central (https://policies.mq.edu.au) and use the search tool.

Student Code of Conduct

Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/admin/other-resources/student-conduct

Results

Results published on platform other than eStudent, (eg. iLearn, Coursera etc.) 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 or if you are a Global MBA student contact globalmba.support@mq.edu.au

Academic Integrity

At Macquarie, we believe academic integrity – honesty, respect, trust, responsibility, fairness and courage – is at the core of learning, teaching and research. We recognise that meeting the expectations required to complete your assessments can be challenging. So, we offer you a range of resources and services to help you reach your potential, including free online writing and maths support, academic skills development and wellbeing consultations.

Student Support

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

The Writing Centre

The Writing Centre provides resources to develop your English language proficiency, academic writing, and communication skills.

The Library provides online and face to face support to help you find and use relevant information resources. 

Student Services and Support

Macquarie University offers a range of Student Support Services including:

Student Enquiries

Got a question? Ask us via AskMQ, or contact Service Connect.

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.