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  2. Introductory Applied Mathematics [MAT1137]

School: Science

This unit information may be updated and amended immediately prior to semester. To ensure you have the correct outline, please check it again at the beginning of semester.

  • Unit Title

    Introductory Applied Mathematics

  • Unit Code

    MAT1137

  • Year

    2026

  • Enrolment Period

    1

  • Version

    4

  • Credit Points

    15

  • Full Year Unit

     N

  • Mode of Delivery

    On Campus

  • Unit Coordinator

    Dr Anna GUAN

Description

This unit introduces students to functions, calculus, descriptive statistics, probability and random variables, and their application to solve applied problems. Students will be introduced to functions and their properties, differential and integral calculus and its application to optimisation, area and rectilinear motion problems, arithmetic and geometric and sequences, sets and probability, descriptive statistics and discrete and continuous random variables. This unit is designed for students who have passed year 11 ATAR Mathematics Methods or MAT1108 Foundations of Mathematics or equivalent.

Prerequisite Rule

Students must have passed MAT1108 or equivalent

Equivalent Rule

Unit was previously coded MAT1136, UPU0111

Learning Outcomes

On completion of this unit students should be able to:

  1. Identify techniques that can be used to solve calculus, statistics and probability problems.
  2. Apply calculus, statistics and probability techniques to solve applied problems.
  3. Communicate steps of working using appropriate mathematical symbols and notation.

Unit Content

  1. Review – Algebra (algebraic manipulation including factorisation; adding, multiplying and dividing fraction expressions; and index laws. Solution of equations and inequalities involving rational expressions); trigonometry (Pythagoras’ theorem, trigonometric ratios, sine and cosine rule), linear and quadratic functions.
  2. Functions and Graphs - Functions and relations; function notation; domain and range; translations and scaling; composite functions; inverse functions; limits and continuity; radian measure; sine, cosine and tangent functions; unit circle; solution of trigonometric equations; exponential functions and natural base; logarithm functions, logarithm laws and change of base; solving equations involving an unknown exponent.
  3. Calculus - Differentiation (definition, power, product, quotient and chain rules) and differentiability; derivatives of exponential, logarithm and trigonometric functions; higher order derivatives; anti-differentiation of polynomial, trigonometric, and exponential functions; anti-differentiation of functions of the form y=f(ax+b);definite integrals; the fundamental theorem of calculus.
  4. Calculus Applications - Optimisation; curve sketching (rational functions); rectilinear motion; areas between and under curves.
  5. Sequences – Arithmetic and geometric sequences (recursive definitions, expression for the nth term, sum of first n terms, linear/exponential nature of series.
  6. Sets and Probability – Language and notation (complement, intersection, union), probability and probability rules; conditional probability; independent events.
  7. Statistics – Descriptive statistics (mean, mode, median, standard deviation, variance); discrete random variables (probability functions, expected value, variance and standard deviation, Bernoulli distribution, Binomial distribution); continuous random variables (probability density function, expected value, variance and standard deviation, cumulative distribution functions, normal distribution).

Learning Experience

Students will attend on campus classes as well as engage in learning activities through ECU's LMS

City CampusJoondalupSouth West (Bunbury)
Semester 1Not Offered26 x 2 hour lectureNot Offered
Semester 2Not Offered26 x 2 hour lectureNot Offered

For more information see the Semester Timetable

Assessment

GS1 GRADING SCHEMA 1 Used for standard coursework units

ON CAMPUS
TypeDescriptionValue
TestMid-semester test40%
ExaminationEnd of semester examination60%

Disability Standards for Education (Commonwealth 2005)

For the purposes of considering a request for Reasonable Adjustments under the Disability Standards for Education (Commonwealth 2005), inherent requirements for this subject are articulated in the Unit Description, Learning Outcomes and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the support for students with disabilities or medical conditions can be found at the Access and Inclusion website.

Assessment

Students please note: The marks and grades received by students on assessments may be subject to further moderation. Informal vivas may be conducted as part of an assessment task, where staff require further information to confirm the learning outcomes have been met. All marks and grades are to be considered provisional until endorsed by the relevant School Progression Panel.

Academic Integrity

Integrity is a core value at Edith Cowan University, and it is expected that ECU students complete their assessment tasks honestly and with acknowledgement of other people's work as well as any generative artificial intelligence tools that may have been used. This means that assessment tasks must be completed individually (unless it is an authorised group assessment task) and any sources used must be referenced.

Breaches of academic integrity can include:

  • Plagiarism: Copying the words, ideas or creative works of other people or generative artificial intelligence tools, without referencing in accordance with stated University requirements. Students need to seek approval from the Unit Coordinator within the first week of study if they intend to use some of their previous work in an assessment task (self-plagiarism).
  • Unauthorised collaboration (collusion): Working with other students and submitting the same or substantially similar work or portions of work when an individual submission was required. This includes students knowingly providing others with copies of their own work to use in the same or similar assessment task(s).
  • Contract cheating: Organising a friend, a family member, another student or an external person or organisation (e.g. through an online website) to complete or substantially edit or refine part or all of an assessment task(s) on their behalf.
  • Cheating in an exam: Using or having access to unauthorised materials in an exam or test.

Serious outcomes may be imposed if a student is found to have committed one of these breaches, up to and including expulsion from the University for repeated or serious acts.

ECU's policies and more information about academic integrity can be found on the student academic integrity website.

All commencing ECU students are required to complete the Academic Integrity Module.

Assessment Extension

In some circumstances, Students may apply to their Unit Coordinator to extend the due date of their Assessment Task(s) in accordance with ECU's Assessment Procedure - for more information visit https://askus2.ecu.edu.au/s/article/000001386.

Special Consideration

Students may apply for Special Consideration in respect of a final unit grade, where their achievement was affected by Exceptional Circumstances as set out in the Assessment Procedure - for more information visit https://askus2.ecu.edu.au/s/article/000003318.

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