1. Home
  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

    2021

  • Enrolment Period

    1

  • Version

    3

  • Credit Points

    15

  • Full Year Unit

     N

  • Mode of Delivery

    On Campus

  • Unit Coordinator

    Dr Steven James RICHARDSON

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 and apply appropriate calculus, statistics and probability techniques to solve problems.
  2. Identify and apply appropriate calculus, statistics and probability techniques to solve applied problems in engineering and science.
  3. Communicate solutions to problems involving the application of calculus techniques, in a coherent written form.

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

ON-CAMPUS

Students will attend on campus classes as well as engage in learning activities through ECUs LMS

JoondalupMount LawleySouth West (Bunbury)
Semester 126 x 2 hour lectureNot OfferedNot Offered
Semester 112 x 1 hour pass sessionNot OfferedNot Offered
Semester 226 x 2 hour lectureNot OfferedNot Offered
Semester 212 x 1 hour pass sessionNot OfferedNot Offered
Semester 2Not OfferedNot Offered13 x 2 hour tutorial

For more information see the Semester Timetable

ONLINE

Students will engage in learning experiences through ECUs LMS as well as additional ECU l

Additional Learning Experience Information

Lecture and workshops.

Assessment

GS1 GRADING SCHEMA 1 Used for standard coursework units

Students please note: The marks and grades received by students on assessments may be subject to further moderation. All marks and grades are to be considered provisional until endorsed by the relevant School Progression Panel.

ON CAMPUS
TypeDescriptionValue
ExerciseEssential skills exercises5%
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
TestMid-semester test25%
ExaminationEnd of semester examination50%

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.

Academic Misconduct

Edith Cowan University has firm rules governing academic misconduct and there are substantial penalties that can be applied to students who are found in breach of these rules. Academic misconduct includes, but is not limited to:

  • plagiarism;
  • unauthorised collaboration;
  • cheating in examinations;
  • theft of other students' work;

Additionally, any material submitted for assessment purposes must be work that has not been submitted previously, by any person, for any other unit at ECU or elsewhere.

The ECU rules and policies governing all academic activities, including misconduct, can be accessed through the ECU website.

MAT1137|3|1

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

    2021

  • Enrolment Period

    2

  • Version

    3

  • Credit Points

    15

  • Full Year Unit

     N

  • Mode of Delivery

    On Campus
    Online

  • Unit Coordinator

    Dr Steven James RICHARDSON

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 and apply appropriate calculus, statistics and probability techniques to solve problems.
  2. Identify and apply appropriate calculus, statistics and probability techniques to solve applied problems in engineering and science.
  3. Communicate solutions to problems involving the application of calculus techniques, in a coherent written form.

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

ON-CAMPUS

Students will attend on campus classes as well as engage in learning activities through ECUs LMS

JoondalupMount LawleySouth West (Bunbury)
Semester 126 x 2 hour lectureNot OfferedNot Offered
Semester 112 x 1 hour pass sessionNot OfferedNot Offered
Semester 226 x 2 hour lectureNot OfferedNot Offered
Semester 212 x 1 hour pass sessionNot OfferedNot Offered
Semester 2Not OfferedNot Offered13 x 2 hour tutorial

For more information see the Semester Timetable

ONLINE

Students will engage in learning experiences through ECUs LMS as well as additional ECU l

Assessment

GS1 GRADING SCHEMA 1 Used for standard coursework units

Students please note: The marks and grades received by students on assessments may be subject to further moderation. All marks and grades are to be considered provisional until endorsed by the relevant School Progression Panel.

ON CAMPUS
TypeDescriptionValue
ExerciseEssential skills exercises5%
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
TestMid-semester test25%
ExaminationEnd of semester examination50%
ONLINE
TypeDescriptionValue
ExerciseEssential skills exercises5%
ExercisePractice exercises10%
AssignmentProblem solving assignments10%
TestMid-semester test25%
ExaminationEnd of semester examination50%

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.

Academic Misconduct

Edith Cowan University has firm rules governing academic misconduct and there are substantial penalties that can be applied to students who are found in breach of these rules. Academic misconduct includes, but is not limited to:

  • plagiarism;
  • unauthorised collaboration;
  • cheating in examinations;
  • theft of other students' work;

Additionally, any material submitted for assessment purposes must be work that has not been submitted previously, by any person, for any other unit at ECU or elsewhere.

The ECU rules and policies governing all academic activities, including misconduct, can be accessed through the ECU website.

MAT1137|3|2